Restricted Document no.: 0035-1209 V02 2013-04-05
General Specification V117 –3.3 MW 50/60 Hz
Vestas Wind Systems A/S · Hedeager 44 · 8200 Aarhus N · Denmark · www.vestas.com : s o cu cu me me nt nt c on on ta ta n s v a u a e c on on e nt nt a n o rm rm at at o n o e st st as as n y st st em em s / . t s p ro ro te te ct ct e y c op op yr yr g t aw aw a s a n u np np u s e w or or . e st st as as r es es er er ve ve s a p at at en en t,t, c op op yr yr g t , trade secret, and other proprietary rights to it. The information in this document may not be used, reproduced, or disclosed except if and to the extent rights are expressly granted by Vestas in writing and subject to applicable conditions. Vestas disclaims all warranties except as expressly granted by written agreement and is not responsible for unauthorized uses, for which it may pursue legal remedies against responsible parties.
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Table of Contents 1 2
General General Descript Description ion ................................. .................................................. ................................. ................................. .................................. .......................... ......... 5 Mechanica Mechanicall Design Design................................ ................................................. .................................. ................................. ................................. ............................. ............ 5
2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 2.10 2.11 2.12 2.13 2.14 2.15 2.16 2.16.1 2.16.2 2.16.3 2.16.4
Rotor Rotor ................................. .................................................. .................................. ................................. ................................. .................................. ................................. .................. 5 Blades................. Blades.................................. .................................. ................................. ................................. .................................. .................................. ............................... .............. 5 Blade Blade Bearing Bearing ................................. .................................................. ................................. ................................. .................................. .................................. .................... ... 6 Pitch System System ................................ ................................................. .................................. ................................. ................................. .................................. ....................... ...... 6 Hub ................................. ................................................. ................................. ................................. ................................. ................................. .................................. ..................... ... 7 Main Shaft ................................. ................................................. ................................. ................................. .................................. .................................. ......................... ......... 7 Main Bearing Housing ............................................................................................................ 7 Main Bearing Bearing................................ ................................................. .................................. ................................. ................................. .................................. ....................... ...... 7 Gearbox Gearbox.................................. .................................................. ................................. .................................. .................................. ................................. ............................ ............ 8 Generator Bearings................. Bearings................................. ................................. .................................. ................................. ................................. ............................. ............ 8 High-Speed Shaft Coupling .................................................................................................... 8 Yaw System System ................................. .................................................. .................................. ................................. ................................. .................................. ....................... ...... 8 Crane Crane ................................ ................................................. .................................. ................................. ................................. .................................. ................................. .................. 9 Towers Towers ................................. .................................................. ................................. ................................. .................................. .................................. ............................... .............. 9 Nacelle Bedplate and Cover .................................................................................................. 9 Thermal Conditioning System .............................................................................................. 10 Generator and Converter Cooling ........................................................................................ 10 Gearbox and Hydraulic Cooling ........................................................................................... 10 Transformer Cooling ............................................................................................................ 10 Nacelle Nacelle Cooling Cooling.................................. .................................................. ................................. .................................. .................................. ................................ ............... 11
3
Electrica Electricall Design Design ................................. ................................................. ................................. ................................. .................................. .............................. ............ 11
3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9
Generator Generator .................................. .................................................. ................................. ................................. .................................. .................................. ....................... ....... 11 Converter Converter............................... ................................................ .................................. .................................. .................................. ................................. .......................... .......... 11 HV Transforme Transformerr ................................. ................................................. ................................. .................................. .................................. ................................ ............... 12 HV Cables Cables ................................. ................................................. ................................. ................................. .................................. .................................. ....................... ....... 15 HV Switchgea Switchgearr ............................... ................................................. .................................. ................................. .................................. .................................. ................... 15 AUX System ................... ......... ................... .................. ................... ................... .................. ................... ................... ................... ................... .................. ................. ........ 15 Wind Sensors Sensors ................................. .................................................. ................................. ................................. .................................. .................................. ................... 16 Vestas Multi Processor (VMP) Controller ............................................................................. 16 Uninterruptible Power Supply (UPS) .................................................................................... 16
4
Turbine Protection Systems.............................................................................................. 17
4.1 4.2 4.3 4.4 4.5 4.6 4.7
Braking Braking Concept Concept ............................... ................................................ .................................. .................................. .................................. ................................ ............... 17 Short Circuit Protections ...................................................................................................... 18 Overspeed Protection .......................................................................................................... 18 Lightning Protection of Blades, Blades, Nacelle, Hub and Tower .................. ......... ................... ................... .................. ................. ........ 18 EMC System System ................................ ................................................. .................................. ................................. ................................. .................................. ..................... .... 19 Earthing Earthing .................................. .................................................. ................................. .................................. .................................. ................................. .......................... .......... 19 Corrosion Protection ............................................................................................................ 20
5
Safety Safety.................................. ................................................... ................................. ................................. .................................. .................................. ............................. ............ 20
5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 5.10 5.11
Access .................. ......... ................... ................... .................. ................... ................... .................. ................... ................... .................. ................... ................... ................. ........ 20 Escape Escape................................. .................................................. ................................. ................................. .................................. .................................. ............................. ............ 20 Rooms/Working Areas ......................................................................................................... 20 Floors, Platforms, Standing and Working Places ................................................................. 20 Service Service Lift ................................. ................................................. ................................. ................................. .................................. .................................. ....................... ....... 21 Climbing Facilities ................................................................................................................ 21 Moving Parts, Guards and Blocking Devices ........................................................................ 21 Lights Lights ................................ ................................................. .................................. ................................. ................................. .................................. ................................ ............... 21 Emergency Emergency Stop ............................... ................................................ .................................. .................................. .................................. ................................ ............... 21 Power Disconnection ........................................................................................................... 21 Fire Protection/First Aid ....................................................................................................... 21 Vestas Wind Systems A/S · Hedeager 44 · 8200 Aarhus N · Denmark · www.vestas.com
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5.12 5.13
Warning Signs ..................................................................................................................... 22 Manuals and Warnings ........................................................................................................ 22
6
Environment ....................................................................................................................... 22
6.1
Chemicals ............................................................................................................................ 22
7
Approvals and Design Codes ........................................................................................... 22
7.1 7.2
Type Approvals .................................................................................................................... 22 Design Codes – Structural Design ....................................................................................... 23
8
Colours ............................................................................................................................... 24
8.1 8.2 8.3
Nacelle Colour ..................................................................................................................... 24 Tower Colour ....................................................................................................................... 24 Blades Colour ...................................................................................................................... 24
9
Operational Envelope and Performance Guidelines ....................................................... 24
9.1 9.1.1 9.1.2 9.1.3 9.2 9.3 9.4 9.5 9.6 9.6.1 9.6.2 9.7 9.8 9.9 9.10 9.11 9.12 9.13
Climate and Site Conditions ................................................................................................. 25 Complex Terrain .................................................................................................................. 25 Altitude................................................................................................................................. 25 Wind Power Plant Layout ..................................................................................................... 25 Operational Envelope – Temperature and Wind .................................................................. 26 Operational Envelope – Grid Connection ............................................................................. 27 Operational Envelope – Reactive Power Capability ............................................................. 28 Performance – Fault Ride Through ...................................................................................... 28 Performance – Reactive Current Contribution ...................................................................... 29 Symmetrical Reactive Current Contribution.......................................................................... 29 Asymmetrical Reactive Current Contribution........................................................................ 30 Performance – Multiple Voltage Dips ................................................................................... 30 Performance – Active and Reactive Power Control .............................................................. 30 Performance – Voltage Control ............................................................................................ 31 Performance – Frequency Control ....................................................................................... 31 Main Contributors to Own Consumption ............................................................................... 31 Operational Envelope – Conditions for Power Curve and Ct Values (at Hub Height) ........... 31 Noise Modes ........................................................................................................................ 32
10
Drawings ............................................................................................................................ 33 Structural Design – Illustration of Outer Dimensions ............................................................ 33 Structural Design – Side View Drawing ................................................................................ 34 General Reservations, Notes and Disclaimers ................................................................ 34 Appendices ........................................................................................................................ 36 Mode 0, “Optimised Power” ................................................................................................. 36 Power Curves, Noise Mode 0, “Optimised Power” ............................................................... 36 Ct Values, Noise Mode 0, “Optimised Power” ....................................................................... 37 Noise Curves, Noise Mode 0, “Optimised Power” ................................................................ 38
10.1 10.2 11 12
12.1 12.1.1 12.1.2 12.1.3
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Recipient acknowledges that (i) this General Specification is provided for recipient's information only, and, does not create or constitute a warranty, guarantee, promise, commitment, or other representation (Commitment) by Vestas Wind Systems or any of its affiliated or subsidiary companies (Vestas), all of which are disclaimed by Vestas and (ii) any and all Commitments by Vestas to recipient as to this general specification (or any of the contents herein) are to be contained exclusively in signed written contracts between recipient and Vestas, and not within this document. See general reservations, notes and disclaimers (including, section 11, p. 35) to this general specification
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General Specification V117-3.3 MW General Description
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General Description
The Vestas V117-3.3 MW wind turbine is a pitch regulated upwind turbine with active yaw and a three-blade rotor. The Vestas V117-3.3 MW turbine has a rotor diameter of 117 m and a rated output power of 3.3 MW. The turbine utilises the OptiTip® concept and a power system based on a permanent magnet or induction generator and full-scale converter. With these features, the wind t urbine is able to operate the rotor at variable speed and thereby maintaining the power output at or near rated power even in high wind speed. At low wind speed, the OptiTip ® concept and the power system work together to maximise the power output by operating at the optimal rotor speed and pitch angle. 2
Mechanical Design
2.1
Rotor
The V117-3.3 MW is equipped with a 117-meter rotor consisting of three blades and a hub. The blades are controlled by the microprocessor pitch control system OptiTip®. Based on the prevailing wind conditions, the blades are continuously positioned to optimise the pitch angle. Rotor Diameter Swept Area Speed, Dynamic Operation Range Rotational Direction Orientation Tilt Blade Coning Number of Blades Aerodynamic Brakes Table 2-1:
2.2
117 m 10751 m2 6.2-17.7 Clockwise (front view) Upwind 6° 4° 3 Full feathering
Rotor data
Blades
The blades are made of carbon and fibreglass and consist of two airfoil shells bonded to a supporting beam. Blades Type Description Blade Length Material Blade Connection
Airfoil shells bonded to supporting beam 57.15 m Fibreglass reinforced epoxy and carbon fibres Steel roots inserted
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Blades Airfoils Maximum Chord Table 2-2:
2.3
High-lift profile 4.0 m
Blades data
Blade Bearing
The blade bearings are double-row four-point contact ball bearings. Blade Bearing
Grease
Lubrication Table 2-3:
2.4
Blade bearing data
Pitch System
The turbine is equipped with a pitch system for each blade and a distributor block, all located in the hub. Each pitch system is connected to the distributor block with flexible hoses. The distributor block is connected to the pipes of the hydraulic rotating transfer unit in the hub by means of three hoses (pressure line, return line and drain line). Each pitch system consists of a hydraulic cylinder mounted to the hub and a piston rod mounted to the blade via a torque arm shaft. Valves facilitating operation of the pitch cylinder are installed on a pitch block bolted directly onto the cylinder. Pitch System
Hydraulic 1 per blade -9° to 90°
Type Number Range Table 2-4:
Pitch system data
Hydraulic System
Two redundant internal-gear oil pumps 260 bar 3 µm (absolute)
Main Pump Pressure Filtration Table 2-5:
Hydraulic system data
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Hub
The hub supports the three blades and transfers the reaction forces to the main bearing and the torque to the gearbox. The hub structure also supports blade bearings and pitch cylinder. Hub
Cast ball shell hub Cast iron
Type Material Table 2-6:
2.6
Hub data
Main Shaft
The main shaft transfers the reaction forces to the main bearing and the torque to the gearbox. Main Shaft Type Description Material Table 2-7:
2.7
Hollow shaft Cast iron
Main shaft data
Main Bearing Housing
The main bearing housing covers the main bearing and is the first connection point for the drive train system to the bedplate. Main Bearing Housing
Cast iron
Material Table 2-8:
2.8
Main bearing housing data
Main Bearing
The main bearing carries all thrust loads. Main Bearing
Double-row spherical roller bearing Automatic grease lubrication
Type Lubrication Table 2-9:
Main bearing data
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General Specification V117-3.3 MW Mechanical Design
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Gearbox
The main gear converts the low-speed rotation of the rotor to high-speed generator rotation. The disc brake is mounted on the high-speed shaft. The gearbox lubrication system is a pressure-fed system. Gearbox Type Gear House Material Lubrication System Backup Lubrication System Total Gear Oil Volume Oil Cleanliness Codes Shaft Seals
Planetary stages + one helical stage Cast Pressure oil lubrication Oil sump filled from external gravity tank 1000-1200 ISO 4406-/15/12 Labyrinth
Table 2-10: Gearbox data
2.10
Generator Bearings
The bearings are grease lubricated and grease is supplied continuously from an automatic lubrication unit. 2.11
High-Speed Shaft Coupling
The coupling transmits the torque of the gearbox high-speed output shaft to the generator input shaft. The coupling consists of two 4-link laminate packages and a fibreglass intermediate tube with two metal flanges. The coupling is fitted to two-armed hubs on the brake disc and the generator hub. 2.12
Yaw System
The yaw system is an active system based on a robust pre-tensioned plain yawbearing concept with PETP as friction material. The yaw gears have a torque limiter. Yaw System Type Material Yawing Speed (50 Hz) Yawing Speed (60 Hz)
Plain bearing system Forged yaw ring heat-treated. Plain bearings PETP 0.46°/sec. 0.6°/sec.
Table 2-11: Yaw system data
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Yaw Gear Type Ratio Total Rotational Speed at Full Load
Multiple stages geared 944:1 1.4 rpm at output shaft
Table 2-12: Yaw gear data
2.13
Crane
The nacelle houses the internal safe working load (SWL) service crane. The crane is a single system hoist. Crane Lifting Capacity
Maximum 800 kg
Table 2-13: Crane data
2.14
Towers
Tubular towers with flange connections, certified according to relevant type approvals, are available in different standard heights. The towers are designed with the majority of internal welded connections replaced by magnet supports to create a predominantly smooth-walled tower. Magnets provide load support in a horizontal direction and internals, such as platforms, ladders, etc., are supported vertically (i.e. in the gravitational direction) by a mechanical connection. The smooth tower design reduces the required steel thickness, rendering the tower lighter compared to one with all internals welded to the tower shells. The hub heights listed include a distance from the foundation section to the ground level of approximately 0.2 m depending on the thickness of the bottom flange and a distance from the tower top flange to the centre of the hub of 2.2 m. Towers Type Hub Heights Hub Heights (North America) Material
Cylindrical/conical tubular 91.5 m/116.5 m 91.5 m Steel
Table 2-14: Tower structure data
2.15
Nacelle Bedplate and Cover
The nacelle cover is made of fibreglass. Hatches are positioned in the floor for lowering or hoisting equipment to the nacelle and evacuation of personnel. The roof section is equipped with wind sensors and skylights. The skylights can be opened from both inside the nacelle to access the roof and from outside to access the nacelle. Access from the tower to the nacelle is through the yaw system. The nacelle bedplate is in two parts and consists of a cast iron front part and a girder structure rear part. The front of the nacelle bedplate is the foundation for Vestas Wind Systems A/S · Hedeager 44 · 8200 Arhus N · Denmark · www.vestas.com
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the drive train and transmits forces from the rotor to the t ower through the yaw system. The bottom surface is machined and connected to the yaw bearing and the yaw gears are bolted to the front nacelle bedplate. The crane girders are attached to the top structure. The lower beams of the girder structure are connected at the rear end. The rear part of the bedplate serves as the foundation for controller panels, the cooling system and transformer. The nacelle cover is mounted on the nacelle bedplate. Type Description
Material
Nacelle Cover
GRP Cast iron Girder structure
Bedplate Front Bedplate Rear
Table 2-15: Nacelle bedplate and cover data
2.16
Thermal Conditioning System
The thermal conditioning system consists of a few robust components:
The Vestas CoolerTop® located on top of the rear end of the nacelle. The CoolerTop® is a free flow cooler, thus ensuring that there are no electrical components in the thermal conditioning system located outside the nacelle.
The Liquid Cooling System, which serves the gearbox,hydraulic systems, generator and converter is driven by an electrical pumping system.
The transformer forced air cooling comprised of an electrical fan.
2.16.1 Generator and Converter Cooling
The generator and converter cooling systems operate in parallel. A dynamic flow valve mounted in the generator cooling circuit divides the cooling liquid flow. The cooling liquid removes heat from the generator and converter unit using a free-air flow radiator placed on the top of the nacelle. In addition to the generator, converter unit and radiator, the circulation system includes an electrical pump and a three-way thermostatic valve. 2.16.2 Gearbox and Hydraulic Cooling
The gearbox and hydraulic cooling systems are coupled in parallel. A dynamic flow valve mounted in the gearbox cooling circuit divides the cooling flow. The cooling liquid removes heat from the gearbox and the hydraulic power unit through heat exchangers and a free-air flow radiator placed on the top of the nacelle. In addition to the heat exchangers and the radiator, the circulation system includes an electrical pump and a three-way thermostatic valve. 2.16.3 Transformer Cooling
The transformer is equipped with forced-air cooling. The ventilator system consists of a central fan, located below the service floor and an air duct leading the air to locations beneath and between the high voltage and low voltage windings of the transformer.
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2.16.4 Nacelle Cooling
Hot air generated by mechanical and electrical equipment is removed from the nacelle by a fan system located in the nacelle. 3
Electrical Design
3.1
Generator
The generator is a three-phase synchronous generator with a permanent magnet rotor or a three phase asynchronous induction generator with cage rotor that is connected to the grid through a full scale converter. The generator housing is built with a cylindrical jacket and channels. The channels circulate cooling liquid around the generator internal stator housing. Generator
Alternative 1
Alternative 2
Type
Synchronous with permanent magnets 0- 200 Hz 3 x 710 V (at rated speed) 12 Form with VPI (Vacuum Pressurized Impregnation) Star 1450-1550 rpm 2400 rpm
Asynchronous with cage rotor 0-100 Hz 3 x 750 V (at rated speed) 4/6 Form with VPI (Vacuum Pressurized Impregnation) Star or Delta 1450-1550 rpm 2400 rpm
Hybrid/ceramic 3 PT100 sensors placed at hot spots and 3 as back-up 1 per bearing
Hybrid/ceramic 3 PT100 sensors placed at hot spots and 3 as back-up 1 per bearing
F or H IP54
F or H IP54
Frequency [f N] Voltage, Stator [UNS] Number of Poles Winding Type Winding Connection Rated rpm Overspeed Limit Acc. to IEC (2 minutes) Generator Bearing Temperature Sensors, Stator Temperature Sensors, Bearings Insulation Class Enclosure Table 3-1:
3.2
Generator data
Converter
The converter is a full-scale converter system controlling both the generator and the power quality delivered to the grid. The converter consists of multiple converter units operating in parallel with a common controller. The converter controls conversion of variable frequency power from the generator into fixed frequency AC power with desired active and reactive power levels (and other grid connection parameters) suitable for the grid. The converter Vestas Wind Systems A/S · Hedeager 44 · 8200 Arhus N · Denmark · www.vestas.com
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is located in the nacelle and has a grid side voltage rating of 650 V. The generator side voltage rating is up to 710 V dependent on generator speed. Converter
650 V
Rated Grid Voltage Table 3-2:
3.3
Converter data
HV Transformer
The step-up transformer is located in a separate locked room in the back of the nacelle. The transformer is a three-phase, two-winding, dry-type transformer that is selfextinguishing. The windings are delta-connected on the high-voltage side unless otherwise specified. 3.1 IEC 50Hz/60Hz version
For 50Hz regions the transformer is as default designed according to IEC standards. However on special request, a 60Hz transformer based on IEC standards could also be delivered. Transformer Type description Basic layout Applied standards
Dry-type cast resin transformer. 3 phase, 2 winding transformer. IEC 60076-11, IEC 60076-16, Cenelec HD 637:S1. AF 3750 kVA
Cooling method Rated power Nominal voltage, turbine side Um 1.1kV
0.650 kV
Nominal voltage, grid side Um 12.0kV Um 24.0kV Um 36.0kV Um 41.5kV
10.0-11.0 kV 11.1-22.0 kV 22.1-33.0 kV 33.1-35.0 kV
Um 1.1kV Um 12.0kV Um 24.0kV Um 36.0kV Um 41.5kV
3 / - / - kV 281 / 75 / 75 kV 501 / 125 / 125 kV 701 / 170 / 170 kV 801 / 170 / 170 kV ±2 x 2.5 % 50 Hz / 60Hz Dyn5 / YNyn0 5.3 kW 31.5 kW 16kVAr 330kVAr 8.7 %
Insulation level AC / LI / LIC
Off-circuit tap changer Frequency Vector group No-load loss Load loss @ rated power HV, 120 C 2 No-load reactive power 3 Full load reactive power 3 Positive sequence short-circuit impedance @ rated power, 120 C 4 Positive sequence short-circuit
0.7 %
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General Specification V117-3.3 MW Electrical Design
resistance@ rated power, 120 C3 Zero sequence short-circuit impedance@ rated power, 120 C3 Zero sequence short-circuit resistance@ rated power, 120 C3 Inrush peak current 3 Dyn5 YNyn0 3 Half crest time Sound power level Average temperature rise @ 1000m Max altitude 5 Insulation class Environmental class Climatic class Fire behaviour class Corrosion class Weight Temperature monitoring Overvoltage protection Temporary earthing Table 3-3:
NOTE
Date: 2013-04-05 Restricted Page 13 of 38
8.7 % 0.7 % 6-9 x Î n 8-12 x Î n ~ 0.7 s 80 dB(A) 80 K 2000 m 155 (F) E2 C2 F1 C4 8500 kg PT100 sensors in LV windings and core Surge arresters on HV terminals 3 x Ø20mm earthing ball points
Transformer data for IEC 50Hz/60Hzversion
1
@1000m. According to IEC 60076-11, AC test voltage is altitude dependent. Based on an average of measured values during qualification tests across voltages and manufacturers. 3 Based on an average of calculated values across voltages and manufacturers. 4 Subjected to standard IEC tolerances. 5 Max hub height altitude will depend on site location. 2
3.2 IEEE 60Hz version
For 60Hz regions the transformer is as default designed mainly according to IEEE standards but on areas not covered by IEEE standards, the design is also based on parts of the IEC standards. Transformer Type description Basic layout Applied standards
Cooling method Rated power Nominal voltage, turbine side NLL 1.2 kV Nominal voltage, grid side NLL 15.0 kV
Dry-type cast resin transformer. 3 phase, 2 winding transformer. UL 1562, CSA C22.2 No. 47, IEEE C57.12, IEC 60076-11, IEC 60076-16, Cenelec HD 637:S1. AFA 3750 kVA 0.650 kV 10.0-15.0 kV
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General Specification V117-3.3 MW Electrical Design
NLL 25.0 kV NLL 34.5 kV Insulation level AC / LI & LIC NLL 1.2 kV NLL 15.0 kV NLL 25.0 kV NLL 34.5 kV Off-circuit tap changer Frequency Vector group No-load loss Load loss @ rated power HV, 120 C 2 No-load reactive power Full load reactive power Positive sequence short-circuit impedance @ rated power, 120 C 4 Positive sequence short-circuit resistance @ rated power, 120 C 3 Zero sequence short-circuit impedance @ rated power, 120 C 3 Zero sequence short-circuit resistance @ rated power, 120 C 3 Inrush peak current 3 Dyn5 YNyn0 3 Half crest time Sound power level Average temperature rise @ 1000m Max altitude 5 Insulation class Environmental class Climatic class Fire behaviour class Corrosion class Weight Temperature monitoring Overvoltage protection Temporary earthing Table 3-4:
NOTE
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15.1-25.0 kV 25.1-34.5 kV 41 / +10 kV 341 / +95 kV 501 / +125 kV 701 / (+150 & -170) or +170 kV ±2 x 2.5 % 60 Hz Dyn5 / YNyn0 5.3 kW 31.5 kW 16 kVAr 330 kVAr 8.7 % 0.7 % 8.7 % 0.7 % 6-9 x Î n 8-12 x Î n ~ 0.7 s 80 dB(A) 80 K 2000 m 150C E2 C2 F1 C4 8500 kg PT100 sensors in LV windings and core Surge arresters on HV terminals 3 x Ø20mm earthing ball points
Transformer data for IEEE 60Hz version
1
@1000m. According to IEEE C57.12, AC test voltage is altitude dependent. Based on an average of measured values during qualification tests across voltages and manufacturers. 3 Based on an average of calculated values across voltages and manufacturers. 4 Subjected to standard IEEE C57.12 tolerances. 5 Max hub height altitude will depend on site location. 2
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HV Cables
The high voltage cable runs from the transformer in the nacelle down the tower to the switchgear located at the bottom of the tower. The high voltage cable is a four-core, rubber-insulated, halogen-free, high voltage cable. HV Cables High Voltage Cable Insulation Compound Conductor Cross Section Maximum Voltage Table 3-5:
3.5
Improved ethylene-propylene (EP) based material-EPR or high modulus or hard grade ethylene-propylene rubber-HEPR 3 x 70 / 70 mm 2 24 kV for 10-22 kV rated voltage 42 kV for 22.1-35 kV rated voltage
HV cables data
HV Switchgear
The high voltage switchgear is located in the bottom of the tower. HV Switchgear Type Nominal Frequency Nominal Rated Voltage Maximum Voltage Maximum Short Circuit Current (1 second) Table 3-6:
3.6
10 –22 kV 24 kV 20 kA
Gas insulated SF6 50/60 Hz 22.1 –33 kV 36 kV 25 kA
33.1 –35 kV 40.5 kV 25 kA
HV switchgear data
AUX System
The AUX system is supplied from a separate 650/400 V transformer located in the nacelle. All motors, pumps, fans and heaters are supplied from this system. All 230 V consumers are supplied from a 400/230 V transformer located in the tower base. Power Sockets Single Phase (Nacelle and Tower Platforms) Three Phase (Nacelle and Tower Base) Table 3-7:
230 V (16 A)/110 V (16 A)/ 2 x 55 V (16 A) 3 x 400 V (16 A)
AUX system data
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Wind Sensors
The turbine is either equipped with two ultrasonic wind sensors or one ultrasonic wind sensor and one mechanical wind vane and anemometer. The sensors have built-in heaters to minimise interference from ice and snow. T he wind sensors are redundant, and the turbine is able to operate with one sensor only. 3.8
Vestas Multi Processor (VMP) Controller
The turbine is controlled and monitored by the VMP6000 control system. VMP6000 is a multiprocessor control system comprised of four main processors (ground, nacelle, hub and converter) interconnected by an optically based 2.5 Mbit ArcNet network. In addition to the four main processors, the VMP6000 consists of a number of distributed I/O modules interconnected by a 500 kbit CAN network. I/O modules are connected to CAN interface modules by a serial digital bus, CTBus. The VMP6000 controller serves the following main functions: Monitoring and supervision of overall operation. Synchronizing of the generator to the grid during connection sequence. Operating the wind turbine during various fault situations. Automatic yawing of the nacelle. ® OptiTip - blade pitch control. Reactive power control and variable speed operation. Noise emission control. Monitoring of ambient conditions. Monitoring of the grid. Monitoring of the smoke detection system.
3.9
Uninterruptible Power Supply (UPS)
The UPS is equipped with an AC/DC, DC/AC converter (double conversions) and battery cells placed in the same cabinet as the converter. During grid outage, t he UPS will supply specific components with 230 V AC. The backup time for the UPS system is proportional to the power consumption. Actual backup time may vary. UPS Battery Type Rated Battery Voltage
Valve-Regulated Lead Acid (VRLA) 2 x 8 x 12 V (192 V)
Converter Type
Double conversion
Converter Input
230 V +/-20%
Rated Output
230 Vac
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UPS Voltage Backup Time**
Aviation Lights 15 min. * m e t s y S l o r t n o C
Re-charging Time Table 3-8:
80% 100%
0 hr.
1 hr.
8 hrs.
>8 hrs.
1 EXB
1 EXB
3 EXB
4 EXB (max. 630min.) N.A. N.A. N.A. N.A.
1 EXB 3 EXB 4 EXB 2 EXB 3 EXB 4 EXB 3 hrs. 3 EXB 4 EXB N.A. >3 hrs. 4 EXB N.A. N.A. (max. 230min.) Approximately 3 hours Approximately 8 hours 1 hr. 2 hrs.
UPS data
N.A. = desired back-up time not possible EXB = optional extra battery pack. *The control system includes: the turbine controller (System 6000), switchgear functions, and remote control system. Internal lights are fed by separate built-in batteries in light armatures.
NOTE
** For alternative backup times, consult Vestas. 4
Turbine Protection Systems
4.1
Braking Concept
The main brake on the turbine is aerodynamic. Braking the turbine is done by full feathering the three blades (individually turning each blade). Each blade has a hydraulic accumulator to supply power for turning the blade. In addition, there is a mechanical disc brake on the high-speed shaft of the gearbox with a dedicated hydraulic system. The mechanical brake is only used as a parking brake and when activating the emergency stop push buttons.
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General Specification V117-3.3 MW Turbine Protection Systems
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Short Circuit Protections
Breakers
Breaker for Aux. Power. T4L 250A TMD 4P 690 V
Breaker for Converter Modules T7M1200L PR332/P LSIG 1000 A 3P 690 V
Breaking Capacity, Icu, Ics
70 kA@690 V 154 kA@690 V
50 kA @690 V 105 kA @690 V
Making Capacity, Icm Table 4-1:
4.3
Short circuit protection data
Overspeed Protection
The generator rpm and the main shaft rpm are registered by inductive sensors and calculated by the wind turbine controller to protect against overspeed and rotating errors. In addition, the turbine is equipped with a safety PLC, an independent computer module that measures the rotor rpm. In case of an overspeed situation, the safety PLC activates the emergency feathered position (full feathering) of the three blades independently of the turbine controller. Overspeed Protection Sensors Type Trip Level Table 4-3:
4.4
Inductive 17.66 (rotor rpm)/2000 (generator RPM)
Overspeed protection data
Lightning Protection of Blades, Nacelle, Hub and Tower
The Lightning Protection System (LPS) helps protect the wind turbine against the physical damage caused by lightning strikes. The LPS consists of five main parts:
Lightning receptors. Down conducting system (a system to conduct the lightning current down through the wind turbine to help avoid or minimise damage to the LPS itself or other parts of the wind turbine). Protection against over-voltage and over-current. Shielding against magnetic and electrical fields. Earthing system.
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Lightning Protection Design Parameters Current Peak Value Impulse Charge Long Duration Charge Total Charge Specific Energy Average Steepness Table 4-4:
NOTE
Date: 2013-04-05 Restricted Page 19 of 38
General Specification V117-3.3 MW Turbine Protection Systems
imax Qimpulse Qlong Qtotal W/R di/dt
[kA] [C] [C] [C] [MJ/] [kA/s]
Protection Level I
200 100 200 300 10 200
Lightning protection design parameters
The Lightning Protection System is designed according to IEC standards (see 7 Approvals and Design Codes, p. 22). 4.5
EMC System
The turbine and related equipment fulfils the EU Electromagnetic Compatibility (EMC) legislation: DIRECTIVE 2004/108/EC OF THE EUROPEAN PARLIAMENT AND OF THE COUNCIL of 15 December 2004 on the approximation of the laws of the Member States relating to electromagnetic compatibility and repealing Directive 89/336/EEC. 4.6
Earthing
The Vestas Earthing System consists of a number of individual earthing electrodes interconnected as one joint earthing system. The Vestas Earthing System includes the TN-system and the Lightning Protection System for each wind turbine. It works as an earthing system for the medium voltage distribution system within the wind farm. The Vestas Earthing System is adapted for the different types of turbine foundations. A separate set of documents describe the earthing system in detail, depending on the type of foundation. In terms of lightning protection of the wind turbine, Vestas has no separate requirements for a certain minimum resistance to remote earth (measured in ohms) for this system. The earthing for the lightning protection system is based on the design and construction of the Vestas Earthing System. A primary part of the Vestas Earthing System is the main earth bonding bar placed where all cables enter the wind turbine. All earthing electrodes are connected to this main earth bonding bar. Additionally, equipotential connections are made to all cables entering or leaving the wind turbine. Requirements in the Vestas Earthing System specifications and work descriptions are minimum requirements from Vestas and IEC. Local and national requirements, as well as project requirements, may require additional measures.
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General Specification V117-3.3 MW Safety
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Corrosion Protection
Classification of corrosion protection is according to ISO 12944-2. Corrosion Protection
External Areas
Internal Areas
Nacelle
C5 C5 C4
C3 C3 C3
Hub Tower Table 4-5:
5
Corrosion protection data for nacelle, hub and tower
Safety
The safety specifications in this section provide limited general information about the safety features of the turbine and are not a substitute for Buyer and its agents taking all appropriate safety precautions, including but not limited to (a) complying with all applicable safety, operation, maintenance, and service agreements, instructions, and requirements, (b) complying with all safety-related laws, regulations, and ordinances, and (c) conducting all appropriate safety training and education. 5.1
Access
Access to the turbine from the outside is through the bottom of the tower. The door is equipped with a lock. Access to the top platform in the tower is by a ladder or service lift. Access to the nacelle from the top platform is by ladder. Access to the transformer room in the nacelle is controlled with a lock. Unauthorised access to electrical switchboards and power panels in the turbine is prohibited according to IEC 60204-1 2006. 5.2
Escape
In addition to the normal access routes, alternative escape routes from the nacelle are through the crane hatch, from the spinner by opening the nose cone, or from the roof of the nacelle. Rescue equipment is placed in the nacelle. The hatch in the roof can be opened from both the inside and outside. Escape from the service lift is by ladder. An emergency response plan, placed in the turbine, describes evacuation and escape routes. 5.3
Rooms/Working Areas
The tower and nacelle are equipped with power sockets for electrical tools for service and maintenance of the turbine. 5.4
Floors, Platforms, Standing and Working Places
All floors have anti-slip surfaces. There is one floor per tower section. Vestas Wind Systems A/S · Hedeager 44 · 8200 Arhus N · Denmark · www.vestas.com
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Rest platforms are provided at intervals of 9 metres along the tower ladder between platforms. Foot supports are placed in the turbine for maintenance and service purposes. 5.5
Service Lift
The V117-3.3 MW turbine is delivered optionally with a service lift installed. 5.6
Climbing Facilities
A ladder with a fall arrest system (rigid rail) is mounted through the tower. There are anchor points in the tower, nacelle and hub, and on the roof for attaching fall arrest equipment (full body harness). Over the crane hatch there is an anchor point for the emergency descent equipment. Anchor points are coloured yellow and are calculated and tested to 22.2 kN. 5.7
Moving Parts, Guards and Blocking Devices
All moving parts in the nacelle are shielded. The turbine is equipped with a rotor lock to block the rotor and drive train. Blocking the pitch of the cylinder can be done with mechanical tools in the hub. 5.8
Lights
The turbine is equipped with lights in the tower, nacelle, transformer room and hub. There is emergency light in case of the loss of electrical power. 5.9
Emergency Stop
There are emergency stop push buttons in the nacelle, hub and bottom of the tower. 5.10
Power Disconnection
The turbine is equipped with breakers to allow for disconnection from all power sources during inspection or maintenance. The switches are marked with signs and are located in the nacelle and bottom of the tower. 5.11
Fire Protection/First Aid
A handheld 5-6 kg CO2 fire extinguisher, first aid kit and fire blanket are required to be located in the nacelle during service and maintenance.
A handheld 5-6 kg CO2 fire extinguisher is required only during service and maintenance activities, unless a permanently mounted fire extinguisher located in the nacelle is mandatorily required by authorities. First aid kits are required only during service and maintenance activities. Fire blankets are required only during non-electrical hot work activities.
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5.12
General Specification V117-3.3 MW Environment
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Warning Signs
Warning signs placed inside or on the turbine must be reviewed before operating or servicing the turbine. 5.13
Manuals and Warnings
The Vestas Corporate OH&S Manual and manuals for operation, maintenance and service of the turbine provide additional safety rules and information for operating, servicing or maintaining the turbine. 6
Environment
6.1
Chemicals
Chemicals used in the turbine are evaluated according to the Vestas Wind Systems A/S Environmental System certified according to ISO 14001:2004. The following chemicals are used in the turbine:
Anti-freeze to help prevent the cooling system from freezing. Gear oil for lubricating the gearbox. Hydraulic oil to pitch the blades and operate the brake. Grease to lubricate bearings. Various cleaning agents and chemicals for maintenance of the turbine.
7
Approvals and Design Codes
7.1
Type Approvals
The standard turbine is type certified according to the certification standards listed below: Certification
Wind Class
Hub Height
IEC61400-22
IEC IIA DIBt III DIBt II
91.5 m / 116.5 m 91.5 m 116.5 m
DIBt Anlage 2.7/10 DIBt Anlage 2.7/10 Table 7-1:
Type approvals data
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General Specification V117-3.3 MW Approvals and Design Codes
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Design Codes – Structural Design
The turbine design has been developed and tested with regard to, but not limited to, the following main standards: Design Codes Nacelle and Hub Tower
Blades
Gearbox Generator Transformer
Lightning Protection
Rotating Electrical Machines
IEC 61400-1 Edition 3 EN 50308 IEC 61400-1 Edition 3 Eurocode 3 DNV-OS-J102 IEC 1024-1 IEC 60721-2-4 IEC 61400 (Part 1, 12 and 23) IEC WT 01 IEC DEFU R25 ISO 2813 DS/EN ISO 12944-2 ISO 81400-4 IEC 60034 IEC 60076-11, IEC 60076-16, CENELEC HD637 S1 IEC 62305-1: 2006 IEC 62305-3: 2006 IEC 62305-4: 2006 IEC/TR 61400-24:2002 IEC 34
Safety of Machinery, Safetyrelated Parts of Control Systems
IEC 13849-1
Safety of Machinery – Electrical Equipment of Machines
IEC 60204-1
Table 7-2:
Design codes
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General Specification V117-3.3 MW Colours
8
Colours
8.1
Nacelle Colour
Colour of Vestas Nacelles
RAL 7035 (light grey) Vestas
Standard Nacelle Colour Standard Logo Table 8-1:
8.2
Colour, nacelle
Tower Colour
Colour of Vestas Tower Section Standard Tower Colour Table 8-2:
8.3
External:
Internal:
RAL 7035 (light grey)
RAL 9001 (cream white)
Colour, tower
Blades Colour
Blades Colour Standard Blade Colour Tip-End Colour Variants Gloss Table 8-3:
9
RAL 7035 (light grey) RAL 2009 (traffic orange), RAL 3020 (traffic red) < 30% DS/EN ISO 2813
Colour, blades
Operational Envelope and Performance Guidelines
Actual climate and site conditions have many variables and should be considered in evaluating actual turbine performance. The design and operating parameters set forth in this section do not constitute warranties, guarantees, or representations as to turbine performance at actual sites.
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9.1
General Specification V117-3.3 MW Operational Envelope and Performance Guidelines
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Climate and Site Conditions
Values refer to hub height: Extreme Design Parameters Wind Climate Ambient Temperature Interval (Standard Temperature Turbine) Extreme Wind Speed (10 Minute Average) Survival Wind Speed (3 Second Gust) Table 9-1:
IEC IIA
-40° to +50°C 42.5 m/s 59.5 m/s
Extreme design parameters
Average Design Parameters Wind Climate Nominal Power Wind Speed A-Factor Form Factor, c Turbulence Intensity According to IEC 61400-1, Including Wind Farm Turbulence (@15 m/s – 90% quartile) Wind Shear Inflow Angle (vertical) Table 9-2:
IEC IIA
3.3 MW 8.5 m/s 9.59 m/s 2.0 18% 0.20 8°
Average design parameters
9.1.1 Complex Terrain
Classification of complex terrain according to IEC 61400-1:2005 Chapter 11.2. For sites classified as complex, appropriate measures are to be included in site assessment. Positioning of each turbine must be verified via the Vestas Site Check programme. 9.1.2 Altitude
The turbine is designed for use at altitudes up to 1000 m above sea level as standard and optional up to 2000 m above sea level . 9.1.3 Wind Power Plant Layout
Turbine spacing is to be evaluated site-specifically. Spacing, in any case, must not be below three rotor diameters (3D).
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NOTE
General Specification V117-3.3 MW Operational Envelope and Performance Guidelines
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As evaluation of climate and site conditions is complex, consult Vestas for every project. If conditions exceed the above parameters, Vestas must be consulted. 9.2
Operational Envelope – Temperature and Wind
Values refer to hub height and are determined by the sensors and control system of the turbine. Operational Envelope – Temperature and Wind Ambient Temperature Interval (Standard Turbine)
-20° to +45°C
Ambient Temperature Interval (Low Temperature Turbine)
-30° to +45°C
Cut-In
3 m/s 25 m/s
Cut-Out (10 Minute Exponential Average) Re-Cut In (10 Minute Exponential Average) Table 9-3:
NOTE
23 m/s
Operational envelope – temperature and wind
At ambient temperatures above +30°C, the turbine will maintain derated production, within the component capacity as seen in f igure 9-1, p. 26. The wind turbine will stop producing power at ambient temperatures above 45°C. For the Low temperature options of the wind turbine, consult ‘Vestas’.
Figure 9-1: Derated Operation. Vestas Wind Systems A/S · Hedeager 44 · 8200 Arhus N · Denmark · www.vestas.com
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9.3
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General Specification V117-3.3 MW Operational Envelope and Performance Guidelines
Operational Envelope – Grid Connection
Operational Envelope – Grid Connection Nominal Phase Voltage Nominal Frequency Maximum Steady State Voltage Jump Maximum Frequency Gradient Maximum Negative Sequence Voltage
[UNP] 650 V [f N] 50/60 Hz ±2% (from turbine) ±4% (from grid) ±4 Hz/sec. 3% (connection) 2% (operation)
Minimum Required Short Circuit Ratio at Turbine HV Connection
5.0
Maximum Short Circuit Current Contribution
1.05 p.u. (continuous) 1.45 p.u. (peak)
Table 9-4:
Operational envelope – grid connection
The generator and the converter will be disconnected if*: Protection Settings Voltage Above 110% of Nominal for 3600 Seconds Voltage Above 121% of Nominal for 2 Seconds Voltage Above 136% of Nominal for 0.150 Seconds Voltage Below 90% of Nominal for 60 Seconds Voltage Below 80% of Nominal for 10 Seconds Frequency is Above 106% of Nominal for 0.2 Seconds Frequency is Below 94% of Nominal for 0.2 Seconds Table 9-5: NOTE
715 V 787 V 884 V 585 V 520 V 53/63.6 Hz 47/56.4 Hz
Generator and converter disconnecting values
* Over the turbine lifetime, grid drop-outs are to occur at an average of no more than 50 times a year.
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General Specification V117-3.3 MW Operational Envelope and Performance Guidelines
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Operational Envelope – Reactive Power Capability
The turbine has a reactive power capability as illustrated: 2500
2000
1500
cos (φ) = 0,863 1000
500
] r a V k [
0 0
Q
500
1000
1500
2000
2500
3000
-500
cos (φ) = 0,933 -1000
-1500
-2000
-2500
P [kW]
Figure 9-2: Reactive power capability.
The above chart applies at the low voltage side of the HV transformer at nominal voltage ±10% and nominal frequency ±6%. Reactive power capability at full load on high voltage side of the HV transformer is approx: cosφ = 0.90/0.90 capacitive/inductive. Reactive power is produced by the full-scale converter. Traditional capacitors are, therefore, not used in the turbine. The turbine is able to maintain the reactive power capability at low wind with no active power production. 9.5
Performance – Fault Ride Through
The turbine is equipped with a full-scale converter to gain better control of the wind turbine during grid faults. The turbine control system continues to run during grid faults. The turbine is designed to stay connected during grid disturbances within the voltage tolerance curve as illustrated:
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General Specification V117-3.3 MW Operational Envelope and Performance Guidelines
Voltage FRT-profile (WTG) 1,2 1,1
0,00; 1,10 10,00; 0,90
1,0 0,9
0,00; 0,90
2,60; 0,80
0,8 0,7 ) u p ( 0,6
10,00; 0,80
U 0,5
0,4 0,3
0,00; 0,00
0,2 0,1
0,45; 0,00
0,0 -0,5
0,0
0,5
1,0
1,5
2,0
2,5
3,0
3,5
4,0
4,5
5,0
5,5
6,0
6,5
7,0
7,5
8,0
8,5
9,0
9,5
10,0
10,5
11,0
Time (s)
Figure 9-3: Low voltage tolerance curve for symmetrical and asymmetrical faults, where U represents voltage as measured on the grid
For grid disturbances outside the protection curve in Figure 9-, p. 29 the turbine will be disconnected from the grid. Power Recovery Time Power Recovery to 90% of Pre-Fault Level Table 9-6:
9.6
Maximum 0.1 seconds
Power recovery time
Performance – Reactive Current Contribution
The reactive current contribution depends on whether the fault applied to the turbine is symmetrical or asymmetrical. 9.6.1 Symmetrical Reactive Current Contribution
During symmetrical voltage dips, the wind farm will inject reactive current to support the grid voltage. The reactive current injected is a function of the measured grid voltage. The default value gives a reactive current part of 1 pu of the rated active current at the high voltage side of the HV transformer. Figure 9-, p. 30 indicates the reactive current contribution as a function of the voltage. The reactive current contribution is independent from the actual wind conditions and pre-fault power level. As seen in Figure 9-, p. 30, the default current injection slope is 2% reactive current increase per 1% voltage decrease. The slope can be parameterized between 0 and 10 to adapt to site specific requirements.
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Figure 9-4: Reactive current injection
9.6.2 Asymmetrical Reactive Current Contribution
The injected current is based on the measured positive sequence voltage and the used K-factor. During asymmetrical voltage dips, the reactive current injection is limited to approximate 0.4 pu to limit the potential voltage increase on the healthy phases. 9.7
Performance – Multiple Voltage Dips
The turbine is designed to handle re-closure events and multiple voltage dips within a short period of time due to the fact that voltage dips are not evenly distributed during the year. For example, the turbine is designed to handle 10 voltage dips of duration of 200 ms, down to 20% voltage, within 30 minutes. 9.8
Performance – Active and Reactive Power Control
The turbine is designed for control of active and reactive power via the VestasOnline® SCADA system. Maximum Ramp Rates for External Control Active Power Reactive Power Table 9-7:
0.1 pu/sec (330 kW/sec) 20 pu/sec (66 MVAr/sec)
Active/reactive power ramp rates
To support grid stability the turbine is capable to stay connected to the grid at active power references down to 10 % of nominal power for the turbine. For active power references below 10 % the turbine may disconnect from the grid.
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9.9
General Specification V117-3.3 MW Operational Envelope and Performance Guidelines
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Performance – Voltage Control
The turbine is designed for integration with VestasOnline ® voltage control by utilising the turbine reactive power capability. 9.10
Performance – Frequency Control
The turbine can be configured to perform frequency control by decreasing the output power as a linear function of the grid frequency (over frequency). Dead band and slope for the frequency control function are configurable. 9.11
Main Contributors to Own Consumption
The consumption of electrical power by the wind turbine is defined as the power used by the wind turbine when it is not providing energy to the grid. This is defined in the control system as Production Generator 0 (zero).The following components have the largest influence on the own consumption of the wind turbine (the average own consumption depends on the actual conditions, the climate, the wind turbine output, the cut-off hours, etc.): Main contributors to Own Consumption Hydraulic Motor Yaw Motors Water Heating Water Pumps Oil Heating Oil Pump for Gearbox Lubrication Controller Including Heating Elements for the Hydraulics and all Controllers HV Transformer No-load Loss Table 9-8:
9.12
2 x 15 kW (master/slave) Maximum 18 kW in total 10 kW 2.2 + 5.5 kW 7.9 kW 10 kW Approximately 3 kW
See section 3.3 HV Transformer, p. 12
Main contributors to own consumption data
Operational Envelope – Conditions for Power Curve and Ct Values (at Hub Height)
Consult section 12 Appendices for power curves and C t values. Conditions for Power Curve and Ct Values (at Hub Height) Wind Shear Turbulence Intensity Blades Rain Ice/Snow on Blades Leading Edge Terrain
0.00-0.30 (10 minute average) 6-12% (10 minute average) Clean No No No damage IEC 61400-12-1
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Conditions for Power Curve and Ct Values (at Hub Height) Inflow Angle (Vertical) Grid Frequency Table 9-9:
9.13
0 ±2° Nominal Frequency ±0.5 Hz
Conditions for power curve and C t values
Noise Modes
The noise modes listed in Table 9-10, p. 32 below are available for the V117-3.3 MW turbine. Available Noise Modes for V117-3.3 MW Mode No.
Mode Name
Maximum Noise Level
0
Optimised Power Max. 106.5 dB Max. 104.5 dB Max. 102.5 dB Max. 101.0 dB
107.0 dB 106.5 dB 104.5 dB 102.5 dB 101.0 dB
2 3 4 5
Table 9-10: Available noise modes
The noise modes are available for the hub heights listed in table tower structure data in section 2.14 Towers, p. 9. For further details on Noise Modes, see section 12 Appendices, p37, or contact Vestas Wind Systems A/S.
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General Specification V117-3.3 MW Drawings
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10
Drawings
10.1
Structural Design – Illustration of Outer Dimensions
Figure 10-1: 1
Illustration of outer dimensions – structure
Hub height 91.5/116.5 m
2
Diameter: 117 m
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10.2
General Specification V117-3.3 MW General Reservations, Notes and Disclaimers
Structural Design – Side View Drawing
Figure 10-2:
11
Date: 2013-04-05 Restricted Page 34 of 38
Side-view drawing
General Reservations, Notes and Disclaimers © 2013 Vestas Wind Systems A/S. This document is created by Vestas Wind Systems A/S and/or its affiliates and contains copyrighted material, trademarks, and other proprietary information. All rights reserved. No part of the document may be reproduced or copied in any form or by any means – such as graphic, electronic, or mechanical, including photocopying, taping, or information storage and retrieval systems – without the prior written permission of Vestas Wind Systems A/S. The use of this document is prohibited unless specifically permitted by Vestas Wind Systems A/S. Trademarks, copyright or other notices may not be altered or removed from the document. The general specifications described in this document apply to the current version of the V117-3.3 MW wind turbine. Updated versions of the V117-3.3 MW wind turbine, which may be manufactured in the future, may differ from these general specifications. In the event that Vestas supplies an updated version of the V117-3.3 MW wind turbine, Vestas will provide an updated general specification applicable to the updated version. Vestas recommends that the grid be as close to nominal as possible with limited variation in frequency and voltage. A certain time allowance for turbine warm-up must be expected following grid dropout and/or periods of very low ambient temperature. All listed start/stop parameters (e. g. wind speeds and temperatures) are equipped with hysteresis control. This can, in certain borderline situations, result in turbine stops even though the ambient conditions are within the listed operation parameters.
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Document no.: 0035-1209 V02 Document owner: Platform Management Type: T05 – General Description
General Specification V117-3.3 MW General Reservations, Notes and Disclaimers
Date: 2013-04-05 Restricted Page 35 of 38
The earthing system must comply with the minimum requirements from Vestas, and be in accordance with local and national requirements and codes of standards. This document, General Specification, is not an offer for sale, and does not contain any guarantee, warranty and/or verification of the power curve and noise (including, without limitation, the power curve and noise verification method). Any guarantee, warranty and/or verification of the power curve and noise (including, without limitation, the power curve and noise verification method) must be agreed to separately in writing.
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Document no.: 0035-1209 V02 Document owner: Platform Management Type: T05 – General Description
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General Specification V117-3.3 MW Appendices
12
Appendices
12.1
Mode 0, “Optimised Power”
12.1.1
Power Curves, Noise Mode 0, “Optimised Power” Air density [kg/m3]
Wind speed [m/s]
1.225
0.95
0.975
1.0
1.025
1.05
1.075
1.1
1.125
3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 13.0 13.5 14.0 14.5 15.0 15.5 16.0 16.5 17.0 17.5 18.0 18.5 19.0 19.5 20.0 20.5 21.0 21.5 22.0 22.5 23.0 23.5 24.0 24.5 25.0
29 81 146 226 327 452 600 775 981 1216 1483 1780 2103 2437 2753 2999 3159 3241 3276 3290 3297 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
13 52 102 165 243 339 454 589 748 931 1139 1372 1627 1895 2165 2424 2663 2872 3037 3148 3216 3255 3280 3291 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
15 54 106 171 251 349 467 606 769 957 1171 1410 1670 1945 2221 2484 2722 2922 3073 3172 3230 3265 3284 3293 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
16 57 110 176 258 359 480 623 791 983 1202 1447 1714 1995 2277 2545 2781 2973 3109 3195 3244 3274 3289 3295 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
17 60 114 182 266 370 494 640 812 1009 1234 1484 1758 2045 2334 2606 2841 3023 3146 3219 3258 3283 3293 3297 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
19 62 118 187 274 380 507 657 833 1035 1265 1522 1801 2095 2390 2666 2900 3074 3183 3243 3272 3293 3298 3299 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
20 65 122 193 281 390 520 674 854 1061 1296 1559 1845 2144 2444 2719 2943 3103 3200 3252 3277 3295 3298 3299 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
22 67 126 198 289 400 533 691 875 1087 1327 1596 1888 2194 2498 2771 2986 3133 3217 3261 3281 3296 3299 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
23 70 130 204 297 411 547 708 896 1113 1359 1633 1931 2243 2552 2824 3030 3163 3235 3270 3286 3298 3299 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
1.15
25 73 134 210 304 421 560 725 917 1139 1390 1670 1974 2292 2606 2876 3073 3192 3253 3279 3291 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
1.175
26 76 138 215 312 431 573 742 939 1164 1421 1707 2017 2341 2654 2917 3101 3209 3260 3283 3293 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
Table 12-1: Power curve, noise mode 0
Vestas Wind Systems A/S · Hedeager 44 · 8200 Arhus N · Denmark · www.vestas.com
1.2
1.25
28 78 142 221 320 441 587 758 960 1190 1452 1743 2060 2389 2703 2958 3130 3225 3268 3286 3295 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
31 84 150 232 335 462 613 792 1002 1242 1514 1817 2145 2484 2797 3032 3179 3251 3280 3292 3298 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
1.275
32 86 154 237 343 472 627 809 1023 1268 1545 1853 2188 2530 2841 3065 3200 3260 3284 3295 3299 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300 3300
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12.1.2
Date: 2013-04-05 Restricted Page 37 of 38
General Specification V117-3.3 MW Appendices
Ct Values, Noise Mode 0, “Optimised Power” Air density kg/m3
Wind speed [m/s]
1.225
0.950
0.975
1.0
1.025
1.05
1.075
1.1
1.125
1.15
1.175
1.2
1.25
1.275
3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 13.0 13.5 14.0 14.5 15.0 15.5 16.0 16.5 17.0 17.5 18.0 18.5 19.0 19.5 20.0 20.5 21.0 21.5 22.0 22.5 23.0 23.5 24.0 24.5 25.0
0.851 0.816 0.792 0.783 0.779 0.774 0.770 0.766 0.763 0.757 0.751 0.742 0.727 0.701 0.659 0.598 0.528 0.457 0.395 0.343 0.300 0.264 0.235 0.210 0.188 0.169 0.154 0.140 0.128 0.117 0.108 0.100 0.093 0.086 0.080 0.075 0.070 0.065 0.061 0.057 0.054 0.051 0.048 0.045 0.043
0.854 0.819 0.794 0.786 0.782 0.778 0.775 0.772 0.770 0.766 0.761 0.753 0.738 0.715 0.681 0.638 0.592 0.543 0.492 0.440 0.391 0.347 0.309 0.275 0.244 0.220 0.199 0.180 0.164 0.151 0.138 0.127 0.118 0.109 0.102 0.094 0.088 0.082 0.077 0.072 0.068 0.064 0.060 0.056 0.053
0.854 0.818 0.794 0.785 0.782 0.777 0.775 0.771 0.769 0.765 0.760 0.752 0.737 0.714 0.680 0.637 0.589 0.537 0.484 0.431 0.382 0.339 0.301 0.268 0.238 0.214 0.194 0.176 0.160 0.147 0.135 0.124 0.116 0.107 0.099 0.092 0.086 0.080 0.075 0.071 0.066 0.062 0.059 0.055 0.052
0.853 0.818 0.794 0.785 0.782 0.777 0.774 0.771 0.769 0.764 0.759 0.751 0.736 0.713 0.679 0.635 0.586 0.532 0.476 0.422 0.373 0.330 0.293 0.261 0.232 0.209 0.189 0.172 0.157 0.143 0.132 0.121 0.113 0.104 0.097 0.090 0.084 0.079 0.074 0.069 0.065 0.061 0.057 0.054 0.051
0.853 0.818 0.793 0.785 0.781 0.777 0.774 0.770 0.768 0.764 0.758 0.750 0.735 0.712 0.678 0.633 0.583 0.526 0.468 0.413 0.364 0.322 0.285 0.254 0.226 0.203 0.184 0.167 0.153 0.140 0.128 0.118 0.110 0.102 0.095 0.088 0.082 0.077 0.072 0.067 0.063 0.059 0.056 0.053 0.050
0.853 0.818 0.793 0.785 0.781 0.777 0.773 0.770 0.767 0.763 0.758 0.749 0.734 0.711 0.676 0.632 0.580 0.521 0.460 0.404 0.354 0.314 0.277 0.247 0.220 0.198 0.179 0.163 0.149 0.136 0.125 0.115 0.107 0.099 0.092 0.086 0.080 0.075 0.070 0.066 0.062 0.058 0.055 0.052 0.049
0.853 0.818 0.793 0.785 0.781 0.776 0.773 0.769 0.767 0.762 0.757 0.748 0.733 0.709 0.674 0.628 0.573 0.512 0.451 0.395 0.346 0.306 0.271 0.241 0.215 0.194 0.175 0.159 0.145 0.133 0.123 0.113 0.105 0.097 0.090 0.084 0.079 0.073 0.069 0.065 0.060 0.057 0.054 0.051 0.048
0.852 0.817 0.793 0.784 0.780 0.776 0.772 0.769 0.766 0.761 0.756 0.747 0.732 0.708 0.673 0.624 0.567 0.503 0.441 0.386 0.338 0.298 0.264 0.236 0.210 0.189 0.171 0.156 0.142 0.130 0.120 0.111 0.103 0.095 0.089 0.083 0.077 0.072 0.067 0.063 0.059 0.056 0.053 0.050 0.047
0.852 0.817 0.793 0.784 0.780 0.776 0.772 0.768 0.765 0.761 0.755 0.746 0.731 0.707 0.671 0.621 0.560 0.495 0.432 0.377 0.330 0.291 0.258 0.230 0.205 0.185 0.167 0.152 0.139 0.128 0.117 0.108 0.101 0.093 0.087 0.081 0.075 0.070 0.066 0.062 0.058 0.055 0.052 0.049 0.046
0.852 0.817 0.793 0.784 0.780 0.775 0.772 0.767 0.765 0.760 0.754 0.745 0.730 0.706 0.669 0.617 0.554 0.486 0.423 0.367 0.321 0.283 0.251 0.224 0.200 0.180 0.164 0.149 0.136 0.125 0.115 0.106 0.098 0.091 0.085 0.079 0.074 0.069 0.065 0.061 0.057 0.054 0.051 0.048 0.045
0.852 0.817 0.792 0.784 0.780 0.775 0.771 0.767 0.764 0.759 0.753 0.744 0.729 0.704 0.666 0.611 0.545 0.477 0.413 0.359 0.314 0.277 0.246 0.219 0.196 0.177 0.160 0.146 0.133 0.122 0.112 0.104 0.097 0.090 0.083 0.078 0.072 0.068 0.063 0.060 0.056 0.053 0.050 0.047 0.044
0.851 0.817 0.792 0.783 0.780 0.774 0.771 0.766 0.763 0.758 0.752 0.743 0.728 0.702 0.662 0.604 0.537 0.467 0.404 0.351 0.307 0.271 0.240 0.215 0.192 0.173 0.157 0.143 0.131 0.120 0.110 0.102 0.095 0.088 0.082 0.076 0.071 0.066 0.062 0.058 0.055 0.052 0.049 0.046 0.044
0.851 0.816 0.792 0.783 0.779 0.774 0.770 0.765 0.762 0.757 0.750 0.741 0.725 0.699 0.654 0.591 0.519 0.448 0.386 0.335 0.293 0.259 0.230 0.206 0.184 0.166 0.151 0.137 0.125 0.115 0.106 0.098 0.091 0.085 0.079 0.073 0.068 0.064 0.060 0.056 0.053 0.050 0.047 0.045 0.042
0.850 0.816 0.792 0.783 0.779 0.773 0.769 0.765 0.761 0.756 0.749 0.739 0.724 0.697 0.650 0.583 0.510 0.438 0.377 0.328 0.287 0.253 0.225 0.201 0.180 0.163 0.148 0.135 0.123 0.113 0.104 0.096 0.089 0.083 0.077 0.072 0.067 0.063 0.059 0.055 0.052 0.049 0.046 0.044 0.041
Table 12-2: C t t values, noise mode 0
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12.1.3
General Specification V117-3.3 MW Appendices
Date: 2013-04-05 Restricted Page 38 of 38
Noise Curves, Noise Mode 0, “Optimised Power”
Sound Power Level at Hub Height, Noise Mode 0 Conditions for Sound Power Level:
Hub Height
Measurement standard IEC 61400-11 ed. 2 2002 Wind shear: 0.16 Maximum turbulence at 10 metre height: 16% Inflow angle (vertical): 0 ±2° Air density: 1.225 kg/m3 91.5 m
116.5 m
LwA @ 3 m/s (10 m above ground) [dBA] Wind speed at hub height [m/s]
94.9 4.3
95.2 4.5
LwA @ 4 m/s (10 m above ground) [dBA] Wind speed at hub height [m/s]
97.9 5.7
98.4 6.0
LwA @ 5 m/s (10 m above ground) [dBA] Wind speed at hub height [m/s]
101.6 7.1
102.3 7.5
LwA @ 6 m/s (10 m above ground) [dBA] Wind speed at hub height [m/s]
104.8 8.6
105.4 9.0
LwA @ 7 m/s (10 m above ground) [dBA] Wind speed at hub height [m/s]
106.5 10.0
106.6 10.5
LwA @ 8 m/s (10 m above ground) [dBA] Wind speed at hub height [m/s]
107.0 11.4
107.0 12.0
LwA @ 9 m/s (10 m above ground) [dBA] Wind speed at hub height [m/s]
107.0 12.8
107.0 13.5
LwA @ 10 m/s (10 m above ground) [dBA] Wind speed at hub height [m/s]
107.0 14.3
107.0 15.0
LwA @ 11 m/s (10 m above ground) [dBA] Wind speed at hub height [m/s]
107.0 15.7
107.0 16.5
LwA @ 12 m/s (10 m above ground) [dBA] Wind speed at hub height [m/s]
107.0 17.1
107.0 18.0
LwA @ 13 m/s (10 m above ground) [dBA] Wind speed at hub height [m/s]
107.0 18.5
107.0 19.5
Table 12-3: Noise curves, noise mode 0
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CLASS T05
DOCUMENT:
DESCRIPTION:
0037-4072 VER 02
Foundation loads
Foundation loads V126-3.0/3.3 MW, Mk2, IEC3B, 117 m
0 0 R E V 1 9 0 0 0 S M Q
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CLASS T05 DOCUMENT:
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Foundation loads
2/37
Version History VERSION:
DATE:
CHANGE:
00 02
2013.03.25 2013.07.31
New document Document also valid for 3.0MW power rating.
Table of Contents CHAPTER:
DESCRIPTION:
PAGE:
1. 2. 3. 4. 5.
Introduction Extreme loads Serviceability loads Fatigue loads Stiffness of foundation Co-ordinate systems Rain flow count Markov matrices
3 4 6 6 7 8 9 10
Appendix A. Appendix B. Appendix C.
0 0 R E V 1 9 0 0 0 S M Q
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Foundation loads
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1.
Introduction
This document presents the foundation loads from the V126-3.0/3.3 MW HH 117, IEC3B load spectrum. The loads are simulated in accordance with IEC61400-1 Edition 3, ref. [1]. Additional tower & foundation interface requirements can be found in ref [3] and the tower used for calculating the loads can be found in ref [2].
Reference
Description
[1]
IEC61400-1 Edition 3
[2]
Tower file
0037-2278.V00
[3]
Additional Tower & Foundation Interface Requirements
0001-3891.V01
Table 1-1 Reference to documents.
0 0 R E V 1 9 0 0 0 S M Q
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Foundation loads
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2.
Extreme loads
Foundation loads components at the instant of extreme resulting bending moment are given in beneath table. Own weight moment contribution due to tower out of vertical (0.008 m/m) is included with PLF 1.10 in below resultant moments. Loads are given at height: 0.20m Extreme resulting tower bottom moment according to ref [1] incl. own weight moment contribution due to 8mm/m tower out of vertical and second order effects. *unfavorable loads: PLF = 1.1, favorable loads: PLF = 0.9. Mbt1: FndFr:
Resulting bending moment. SQRT(Mxt1^2 + Myt1^2) (also M res) Resulting shear force. SQRT(Fxt1^2 + Fyt1^2) (also Fres)
Characteristic Extreme
Lead
LC/Family
PLF
Type
Mbt1
Mzt1
FndFr
Fzt1
Sensor
[-]
[-]
[-]
[kNm]
[kNm]
[kN]
[kN]
Mbt1
23CoEogVrp8(fam90)
1.10
Abs
107900
-521.1
919.3
-4968
Mzt1
21RPY18Vob00(fam45)
1.35
Abs
26570
-5810
203.2
-4933
FndFr
23CoEogVrp8(fam90)
1.10
Abs
107900
-513.9
919.4
-4968
Fzt1
81P60015a06000(fam188)
1.50
Abs
14030
506.4
136.4
-5077
Table 2 Characteristic Extreme (excl. PLF). Load cases sorted with PLF.
Characteristic Extreme
Lead
LC/Family
PLF
Type
Mbt1
Mzt1
FndFr
Fzt1
Sensor
[-]
[-]
[-]
[kNm]
[kNm]
[kN]
[kN]
Mbt1
23CoEogVrp8(fam90)
1.10
Abs
107900
-521.1
919.3
-4968
Mzt1
22REY18Voa00(fam61)
1.10
Abs
23890
-6842
209.1
-4907
FndFr
23CoEogVrp8(fam90)
1.10
Abs
107900
-513.9
919.4
-4968
Fzt1
71Id2bV145b00(fam165)
1.10
Abs
27130
2414
275.4
-5204
Table 3 Characteristic Extreme (excl. PLF). Load cases sorted without PLF.
Characteristic Extreme
Lead
LC/Family
PLF
Type
Mbt1
Mzt1
FndFr
Fzt1
Sensor
[-]
[-]
[-]
[kNm]
[kNm]
[kN]
[kN]
Mbt1
23CoEogVrp8(fam90)
1.10
Abs
107900
-521.1
919.3
-4968
Mzt1
22REY18Voa00(fam61)
1.10
Abs
23890
-6842
209.1
-4907
FndFr
23CoEogVrp8(fam90)
1.10
Abs
107900
-513.9
919.4
-4968
Fzt1
71Id2bV145b00(fam165)
1.10
Abs
27130
2414
275.4
-5204
Table 4 Characteristic Extreme (excl. PLF). Only load cases with PLF = 1.10.
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Foundation loads
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Characteristic Extreme
Lead
LC/Family
PLF
Type
Mbt1
Mzt1
FndFr
Fzt1
Sensor
[-]
[-]
[-]
[kNm]
[kNm]
[kN]
[kN]
Mbt1
32PREogVrm11(fam105)
1.35
Abs
85450
-165.1
702.2
-5034
Mzt1
21RPY18Vob00(fam45)
1.35
Abs
26570
-5810
203.2
-4933
FndFr
1314etm00(fam31)
1.35
Abs
68080
-907.9
713.5
-5015
Fzt1
12IcVo00(fam23)
1.35
Abs
35120
1462
334.3
-5135
Table 5 Characteristic Extreme (excl. PLF). Only load cases with PLF = 1.35.
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3.
Serviceability loads
The serviceability loads are calculated as the 99% fraction of the load level during normal production. Characteristic Extreme Serviceability Loads
Mres
[kNm]
66540.17
Mz
[kNm]
-2261.50
Fres
[kN]
547.47
Fz
[kN]
-5070.73
Table 6 Quantile Ldd loads for Mres, Mz, Fres and Fz. PLF is not included.
4.
Fatigue loads
For the foundation, the mean loads have to be considered. The mean loads must be combined with either the equivalent loads or the fatigue load spectrum. Loads are given at height: 0.20m The equivalent loads given may be used only if the material property can be characterized by an S/N-curve with the same slope as given for the equivalent loads. Equivalent and Mean Fatigue Foundation Loads
Mean load
Range m = 4
Range m = 7
256.32
422.40
390.61
Fy
[kN]
Mx
[kNm]
-31099.24
26989.11
30816.23
Mz
[kNm]
-190.32
4902.76
4823.74
Table 7 Fatigue loads for N=1E7 cycles.
Ref. [3] contains a description of how to combine ranges and mean values.
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5.
Stiffness of foundation
The nominal spring stiffness used for the load calculations is 120 GNm/rad resulting in a nominal tower frequency of 0.177 Hz. The spring stiffness of the foundation must be at least C,dyn ≥ 30 GNm/rad for the loads to be valid. The minimu m lateral stiffness of the foundations is given in Table 5.1 as a function of the rotational stiffness. Minimum Lateral Stiffness
Rotational stiffness
[GNm/rad]
Lateral stiffness
[MN/m]
30.0
36.0
56.0
87.0
134.0
208.0
322.0
441.0
500.0
1250.0
16.9
6.0
6.0
6.0
6.0
6.0
6.0
6.0
Table 5.1 Minimum lateral stiffness.
The natural frequency of the tower must be within the frequency interval [0.168; 0.186 Hz]
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Appendix A.
Co-ordinate systems
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
9/37
Appendix B.
Rain flow count
This appendix contains the rain flow spectrum for the shear force, the bending moment and the torsional moment in the bottom of the tower. Foundation Fatigue Load Spectrum Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Range
Frequency
Range
Frequency
Range
1.1030E+03
1.5667E+01
1.1513E+05
1.2250E+01
1.1779E+04
1.2500E+00
1.0588E+03
1.7458E+01
1.1053E+05
1.3958E+01
1.1308E+04
1.2500E+00
1.0147E+03
2.4417E+01
1.0592E+05
1.9179E+02
1.0837E+04
1.2500E+00
9.7060E+02
1.1804E+02
1.0132E+05
7.9375E+01
1.0366E+04
0.0000E+00
9.2648E+02
1.3113E+02
9.6711E+04
5.9292E+01
9.8946E+03
2.5000E+00
8.8237E+02
9.2125E+01
9.2106E+04
2.9625E+01
9.4234E+03
1.4997E+02
8.3825E+02
5.6084E+01
8.7501E+04
4.4042E+01
8.9523E+03
1.4432E+03
7.9413E+02
2.6565E+02
8.2896E+04
1.2988E+02
8.4811E+03
2.2751E+03
7.5001E+02
6.7054E+02
7.8290E+04
1.7125E+02
8.0099E+03
1.2008E+04
7.0589E+02
1.8631E+03
7.3685E+04
2.1342E+02
7.5387E+03
3.4056E+04
6.6177E+02
4.2359E+03
6.9080E+04
4.0308E+02
7.0676E+03
1.1989E+05
6.1766E+02
2.6146E+04
6.4474E+04
1.6592E+02
6.5964E+03
1.6349E+05
5.7354E+02
8.2065E+04
5.9869E+04
1.5536E+02
6.1252E+03
2.9239E+05
5.2942E+02
1.3827E+05
5.5264E+04
1.4377E+03
5.6541E+03
4.2469E+05
4.8530E+02
3.9040E+05
5.0658E+04
4.5667E+04
5.1829E+03
8.2540E+05
4.4118E+02
7.1742E+05
4.6053E+04
1.1955E+05
4.7117E+03
1.0179E+06
3.9706E+02
1.3631E+06
4.1448E+04
2.8102E+05
4.2405E+03
1.6416E+06
3.5295E+02
2.7243E+06
3.6842E+04
4.9518E+05
3.7694E+03
2.8433E+06
3.0883E+02
5.2908E+06
3.2237E+04
7.5377E+05
3.2982E+03
5.3318E+06
2.6471E+02
1.0359E+07
2.7632E+04
1.5737E+06
2.8270E+03
1.0885E+07
2.2059E+02
2.1570E+07
2.3027E+04
2.8240E+06
2.3559E+03
2.1150E+07
1.7647E+02
4.6788E+07
1.8421E+04
4.8444E+06
1.8847E+03
4.3191E+07
1.3235E+02
9.2411E+07
1.3816E+04
9.2570E+06
1.4135E+03
7.1351E+07
8.8237E+01
1.7829E+08
9.2106E+03
4.6836E+07
9.4234E+02
9.5902E+07
4.4118E+01
3.3092E+08
4.6053E+03
3.7945E+08
4.7117E+02
1.4851E+08
Table 8 Rainflow counting spectra.
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Frequency
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
10/37
Appendix C.
Markov matrices
This appendix contains the Markov Matr ices for the shear force, the b ending moment and the torsional moment in the bottom of the tower. Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
6.0060E+02
2.2059E+01
1.5924E+04
4.3820E+04
2.3027E+03
3.5000E+00
3.4861E+03
2.3559E+02
9.8386E+02
5.7658E+02
1.1030E+02
1.2100E+04
4.3820E+04
0.0000E+00
3.5000E+00
3.1989E+03
0.0000E+00
1.9677E+03
5.7658E+02
8.8237E+01
1.2100E+04
4.1358E+04
2.3027E+03
7.0000E+00
2.9116E+03
0.0000E+00
7.6438E+02
5.7658E+02
6.6177E+01
2.8024E+04
4.1358E+04
0.0000E+00
3.5000E+00
2.6244E+03
2.1203E+03
4.9193E+02
5.7658E+02
4.4118E+01
2.8028E+04
3.8896E+04
2.3027E+03
1.6050E+02
2.6244E+03
1.1779E+03
7.9025E+03
5.7658E+02
2.2059E+01
6.5847E+04
3.8896E+04
0.0000E+00
3.5000E+00
2.6244E+03
4.7117E+02
4.4921E+03
5.7658E+02
0.0000E+00
6.0043E+04
3.6435E+04
4.6053E+03
7.0000E+00
2.6244E+03
2.3559E+02
7.8266E+03
5.5256E+02
2.2059E+02
7.9025E+03
3.6435E+04
2.3027E+03
1.0500E+01
2.6244E+03
0.0000E+00
3.3205E+04
5.5256E+02
1.7647E+02
1.5805E+04
3.6435E+04
0.0000E+00
1.7500E+01
2.3371E+03
2.3559E+03
9.8386E+02
5.5256E+02
1.5441E+02
2.0008E+04
3.3973E+04
4.6053E+03
1.3917E+01
2.3371E+03
1.4135E+03
7.9025E+03
5.5256E+02
1.3235E+02
3.5937E+04
3.3973E+04
2.3027E+03
7.0000E+00
2.3371E+03
1.1779E+03
7.9025E+03
5.5256E+02
1.1030E+02
4.8474E+04
3.3973E+04
0.0000E+00
1.0500E+01
2.3371E+03
9.4234E+02
3.8219E+02
5.5256E+02
8.8237E+01
1.6877E+05
3.1511E+04
9.2106E+03
3.5000E+00
2.3371E+03
4.7117E+02
1.0635E+04
5.5256E+02
6.6177E+01
1.5318E+05
3.1511E+04
6.9080E+03
6.0000E+00
2.3371E+03
2.3559E+02
7.2284E+03
5.5256E+02
4.4118E+01
1.8055E+05
3.1511E+04
4.6053E+03
7.8500E+01
2.3371E+03
0.0000E+00
5.9096E+04
5.5256E+02
2.2059E+01
1.8958E+05
3.1511E+04
2.3027E+03
3.1500E+01
2.0498E+03
2.5914E+03
1.0951E+03
5.5256E+02
0.0000E+00
1.5235E+05
3.1511E+04
0.0000E+00
3.8417E+01
2.0498E+03
1.6491E+03
7.9025E+03
5.2854E+02
3.3089E+02
1.7500E+00
2.9049E+04
4.6053E+03
7.0000E+00
2.0498E+03
1.4135E+03
1.8433E+04
5.2854E+02
3.0883E+02
4.4921E+03
2.9049E+04
2.3027E+03
2.7000E+01
2.0498E+03
1.1779E+03
1.1122E+02
5.2854E+02
2.8677E+02
7.9025E+03
2.9049E+04
0.0000E+00
1.9092E+02
2.0498E+03
9.4234E+02
4.4788E+03
5.2854E+02
2.6471E+02
7.9025E+03
2.6588E+04
6.9080E+03
2.5000E+00
2.0498E+03
7.0676E+02
3.2983E+04
5.2854E+02
2.4265E+02
1.5936E+04
2.6588E+04
4.6053E+03
7.0000E+00
2.0498E+03
4.7117E+02
3.2268E+03
5.2854E+02
2.2059E+02
6.4992E+04
2.6588E+04
2.3027E+03
1.2000E+01
2.0498E+03
2.3559E+02
1.0452E+05
5.2854E+02
1.9853E+02
5.6308E+04
2.6588E+04
0.0000E+00
8.2333E+01
2.0498E+03
0.0000E+00
2.1573E+05
5.2854E+02
1.7647E+02
1.7699E+05
2.4126E+04
6.9080E+03
3.5000E+00
1.7626E+03
3.5338E+03
1.2500E+01
5.2854E+02
1.5441E+02
3.8637E+05
2.4126E+04
4.6053E+03
2.0917E+01
1.7626E+03
3.0626E+03
5.9110E+01
5.2854E+02
1.3235E+02
4.9373E+05
2.4126E+04
2.3027E+03
1.0900E+02
1.7626E+03
2.8270E+03
7.9025E+03
5.2854E+02
1.1030E+02
6.2165E+05
2.4126E+04
0.0000E+00
1.1342E+02
1.7626E+03
2.5914E+03
1.0528E+04
5.2854E+02
8.8237E+01
9.0553E+05
2.1664E+04
5.0658E+04
1.7500E+00
1.7626E+03
2.3559E+03
2.3499E+03
5.2854E+02
6.6177E+01
9.7823E+05
2.1664E+04
6.9080E+03
7.0000E+00
1.7626E+03
2.1203E+03
7.2305E+03
5.2854E+02
4.4118E+01
7.2508E+05
2.1664E+04
4.6053E+03
2.0000E+01
1.7626E+03
1.8847E+03
3.4608E+04
5.2854E+02
2.2059E+01
5.9646E+05
2.1664E+04
2.3027E+03
1.1850E+02
1.7626E+03
1.6491E+03
4.0535E+04
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
11/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
5.2854E+02
0.0000E+00
6.2363E+05
2.1664E+04
0.0000E+00
6.8611E+03
1.7626E+03
1.4135E+03
8.4163E+04
5.0452E+02
3.3089E+02
6.0552E+03
1.9202E+04
5.7566E+04
1.7500E+00
1.7626E+03
1.1779E+03
7.7154E+03
5.0452E+02
3.0883E+02
1.2100E+04
1.9202E+04
5.2961E+04
3.5000E+00
1.7626E+03
9.4234E+02
4.4010E+04
5.0452E+02
2.8677E+02
3.2118E+04
1.9202E+04
5.0658E+04
1.7500E+00
1.7626E+03
7.0676E+02
1.1101E+05
5.0452E+02
2.6471E+02
5.6320E+04
1.9202E+04
4.8356E+04
3.5000E+00
1.7626E+03
4.7117E+02
1.0313E+05
5.0452E+02
2.4265E+02
1.1484E+05
1.9202E+04
6.9080E+03
9.5000E+00
1.7626E+03
2.3559E+02
1.9666E+05
5.0452E+02
2.2059E+02
3.1376E+05
1.9202E+04
4.6053E+03
1.6500E+01
1.7626E+03
0.0000E+00
5.2377E+05
5.0452E+02
1.9853E+02
4.5126E+05
1.9202E+04
2.3027E+03
8.7417E+01
1.4753E+03
6.3608E+03
8.1665E+01
5.0452E+02
1.7647E+02
9.2596E+05
1.9202E+04
0.0000E+00
2.8550E+02
1.4753E+03
3.5338E+03
1.5885E+03
5.0452E+02
1.5441E+02
1.3018E+06
1.6740E+04
6.6777E+04
1.7500E+00
1.4753E+03
3.2982E+03
2.5000E+00
5.0452E+02
1.3235E+02
1.8108E+06
1.6740E+04
6.4474E+04
1.7500E+00
1.4753E+03
3.0626E+03
1.2104E+04
5.0452E+02
1.1030E+02
2.3520E+06
1.6740E+04
5.9869E+04
3.5000E+00
1.4753E+03
2.8270E+03
1.0986E+03
5.0452E+02
8.8237E+01
2.9472E+06
1.6740E+04
5.2961E+04
3.5000E+00
1.4753E+03
2.5914E+03
1.7013E+04
5.0452E+02
6.6177E+01
3.2142E+06
1.6740E+04
5.0658E+04
1.7500E+00
1.4753E+03
2.3559E+03
6.3809E+04
5.0452E+02
4.4118E+01
2.9771E+06
1.6740E+04
4.6053E+04
3.5000E+00
1.4753E+03
2.1203E+03
1.0177E+05
5.0452E+02
2.2059E+01
2.5171E+06
1.6740E+04
4.3750E+04
1.7500E+00
1.4753E+03
1.8847E+03
1.0936E+05
5.0452E+02
0.0000E+00
1.9431E+06
1.6740E+04
4.1448E+04
1.7500E+00
1.4753E+03
1.6491E+03
7.9883E+04
4.8050E+02
4.4118E+02
5.2085E+00
1.6740E+04
3.9145E+04
7.0000E+00
1.4753E+03
1.4135E+03
1.2197E+05
4.8050E+02
3.9706E+02
4.6629E+03
1.6740E+04
3.6842E+04
1.7500E+00
1.4753E+03
1.1779E+03
1.4679E+05
4.8050E+02
3.7501E+02
6.0500E+03
1.6740E+04
6.9080E+03
3.5000E+00
1.4753E+03
9.4234E+02
2.7065E+05
4.8050E+02
3.5295E+02
2.2310E+04
1.6740E+04
4.6053E+03
1.1000E+01
1.4753E+03
7.0676E+02
1.4711E+05
4.8050E+02
3.3089E+02
4.8571E+04
1.6740E+04
2.3027E+03
2.0600E+02
1.4753E+03
4.7117E+02
2.6267E+05
4.8050E+02
3.0883E+02
7.4220E+04
1.6740E+04
0.0000E+00
1.3726E+04
1.4753E+03
2.3559E+02
5.6917E+05
4.8050E+02
2.8677E+02
1.3723E+05
1.4279E+04
6.6777E+04
1.7500E+00
1.4753E+03
0.0000E+00
1.5338E+06
4.8050E+02
2.6471E+02
2.0941E+05
1.4279E+04
6.2172E+04
1.7500E+00
1.1881E+03
5.8896E+03
2.2461E+03
4.8050E+02
2.4265E+02
2.8612E+05
1.4279E+04
5.5264E+04
1.7500E+00
1.1881E+03
5.4185E+03
3.5000E+00
4.8050E+02
2.2059E+02
8.1912E+05
1.4279E+04
5.2961E+04
5.2500E+00
1.1881E+03
4.4761E+03
2.2523E+02
4.8050E+02
1.9853E+02
8.7299E+05
1.4279E+04
5.0658E+04
5.2500E+00
1.1881E+03
4.2405E+03
1.1122E+02
4.8050E+02
1.7647E+02
1.9333E+06
1.4279E+04
4.8356E+04
3.5000E+00
1.1881E+03
4.0050E+03
9.8386E+02
4.8050E+02
1.5441E+02
2.7640E+06
1.4279E+04
4.6053E+04
1.7500E+00
1.1881E+03
3.7694E+03
1.3195E+04
4.8050E+02
1.3235E+02
3.5136E+06
1.4279E+04
4.3750E+04
1.7500E+00
1.1881E+03
3.5338E+03
1.3765E+03
4.8050E+02
1.1030E+02
4.5839E+06
1.4279E+04
4.1448E+04
5.2500E+00
1.1881E+03
3.2982E+03
1.4579E+04
4.8050E+02
8.8237E+01
6.0000E+06
1.4279E+04
3.9145E+04
3.5000E+00
1.1881E+03
3.0626E+03
3.4638E+03
4.8050E+02
6.6177E+01
5.8807E+06
1.4279E+04
3.6842E+04
3.5000E+00
1.1881E+03
2.8270E+03
5.2337E+04
4.8050E+02
4.4118E+01
5.5227E+06
1.4279E+04
3.4540E+04
7.0000E+00
1.1881E+03
2.5914E+03
9.2828E+04
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
12/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
4.8050E+02
2.2059E+01
5.3948E+06
1.4279E+04
3.2237E+04
1.7500E+00
1.1881E+03
2.3559E+03
9.4352E+04
4.8050E+02
0.0000E+00
4.0595E+06
1.4279E+04
1.1513E+04
3.5000E+00
1.1881E+03
2.1203E+03
2.2049E+05
4.5648E+02
4.4118E+02
1.6199E+04
1.4279E+04
6.9080E+03
2.5000E+00
1.1881E+03
1.8847E+03
2.2723E+05
4.5648E+02
4.1912E+02
8.5415E+01
1.4279E+04
4.6053E+03
2.0500E+01
1.1881E+03
1.6491E+03
4.4526E+05
4.5648E+02
3.9706E+02
2.8151E+04
1.4279E+04
2.3027E+03
2.3217E+02
1.1881E+03
1.4135E+03
4.2089E+05
4.5648E+02
3.7501E+02
2.4210E+04
1.4279E+04
0.0000E+00
3.3997E+04
1.1881E+03
1.1779E+03
6.6500E+05
4.5648E+02
3.5295E+02
8.6830E+04
1.1817E+04
5.7566E+04
1.7500E+00
1.1881E+03
9.4234E+02
5.8974E+05
4.5648E+02
3.3089E+02
1.0699E+05
1.1817E+04
5.5264E+04
1.7500E+00
1.1881E+03
7.0676E+02
5.7166E+05
4.5648E+02
3.0883E+02
1.9897E+05
1.1817E+04
4.8356E+04
1.7500E+00
1.1881E+03
4.7117E+02
7.6743E+05
4.5648E+02
2.8677E+02
3.7876E+05
1.1817E+04
4.6053E+04
1.7500E+00
1.1881E+03
2.3559E+02
1.8002E+06
4.5648E+02
2.6471E+02
4.7349E+05
1.1817E+04
4.1448E+04
5.2500E+00
1.1881E+03
0.0000E+00
3.7301E+06
4.5648E+02
2.4265E+02
6.5359E+05
1.1817E+04
3.9145E+04
5.2500E+00
9.0081E+02
4.7117E+03
8.1665E+01
4.5648E+02
2.2059E+02
1.2154E+06
1.1817E+04
3.6842E+04
1.7500E+00
9.0081E+02
4.4761E+03
2.2348E+02
4.5648E+02
1.9853E+02
1.7694E+06
1.1817E+04
3.4540E+04
7.0000E+00
9.0081E+02
4.2405E+03
9.8386E+02
4.5648E+02
1.7647E+02
2.4825E+06
1.1817E+04
3.2237E+04
1.9250E+01
9.0081E+02
4.0050E+03
1.3678E+03
4.5648E+02
1.5441E+02
4.0745E+06
1.1817E+04
2.9934E+04
8.7500E+00
9.0081E+02
3.7694E+03
1.4492E+04
4.5648E+02
1.3235E+02
5.4917E+06
1.1817E+04
2.7632E+04
5.2500E+00
9.0081E+02
3.5338E+03
2.6245E+04
4.5648E+02
1.1030E+02
6.6959E+06
1.1817E+04
2.5329E+04
3.5000E+00
9.0081E+02
3.2982E+03
7.7845E+03
4.5648E+02
8.8237E+01
7.9644E+06
1.1817E+04
2.3027E+04
3.5000E+00
9.0081E+02
3.0626E+03
6.3415E+04
4.5648E+02
6.6177E+01
8.3493E+06
1.1817E+04
2.0724E+04
3.5000E+00
9.0081E+02
2.8270E+03
1.1563E+05
4.5648E+02
4.4118E+01
7.9118E+06
1.1817E+04
1.8421E+04
3.5000E+00
9.0081E+02
2.5914E+03
1.1498E+05
4.5648E+02
2.2059E+01
6.1045E+06
1.1817E+04
1.6119E+04
3.5000E+00
9.0081E+02
2.3559E+03
1.8881E+05
4.5648E+02
0.0000E+00
4.8701E+06
1.1817E+04
1.1513E+04
9.5000E+00
9.0081E+02
2.1203E+03
2.9849E+05
4.3246E+02
5.9560E+02
3.9513E+03
1.1817E+04
6.9080E+03
6.0000E+00
9.0081E+02
1.8847E+03
5.5302E+05
4.3246E+02
5.7354E+02
3.9513E+03
1.1817E+04
4.6053E+03
1.0750E+02
9.0081E+02
1.6491E+03
9.6875E+05
4.3246E+02
5.0736E+02
3.9513E+03
1.1817E+04
2.3027E+03
1.7808E+02
9.0081E+02
1.4135E+03
1.3308E+06
4.3246E+02
4.8530E+02
3.9565E+03
1.1817E+04
0.0000E+00
7.4074E+03
9.0081E+02
1.1779E+03
1.5095E+06
4.3246E+02
4.6324E+02
1.1913E+04
9.3551E+03
6.2172E+04
7.5000E+01
9.0081E+02
9.4234E+02
1.4288E+06
4.3246E+02
4.4118E+02
1.8150E+04
9.3551E+03
5.2961E+04
3.9250E+01
9.0081E+02
7.0676E+02
1.5498E+06
4.3246E+02
4.1912E+02
4.8159E+04
9.3551E+03
4.3750E+04
3.7500E+01
9.0081E+02
4.7117E+02
1.5628E+06
4.3246E+02
3.9706E+02
7.4642E+04
9.3551E+03
3.6842E+04
3.5000E+00
9.0081E+02
2.3559E+02
3.8507E+06
4.3246E+02
3.7501E+02
8.5587E+04
9.3551E+03
3.4540E+04
3.4167E+01
9.0081E+02
0.0000E+00
8.2881E+06
4.3246E+02
3.5295E+02
9.9082E+04
9.3551E+03
3.2237E+04
7.8500E+01
6.1356E+02
7.0676E+03
1.2500E+00
4.3246E+02
3.3089E+02
1.3112E+05
9.3551E+03
2.9934E+04
1.2250E+01
6.1356E+02
6.8320E+03
8.1665E+01
4.3246E+02
3.0883E+02
2.1275E+05
9.3551E+03
2.7632E+04
1.7500E+01
6.1356E+02
6.5964E+03
1.9110E+02
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
13/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
4.3246E+02
2.8677E+02
3.3253E+05
9.3551E+03
2.5329E+04
4.2917E+01
6.1356E+02
5.8896E+03
5.2085E+00
4.3246E+02
2.6471E+02
3.5384E+05
9.3551E+03
2.3027E+04
3.2417E+01
6.1356E+02
5.6541E+03
2.2452E+02
4.3246E+02
2.4265E+02
9.4355E+05
9.3551E+03
2.0724E+04
1.9250E+01
6.1356E+02
5.4185E+03
1.1330E+02
4.3246E+02
2.2059E+02
9.2201E+05
9.3551E+03
1.6119E+04
1.0500E+01
6.1356E+02
5.1829E+03
5.0185E+03
4.3246E+02
1.9853E+02
1.4666E+06
9.3551E+03
1.3816E+04
7.0000E+00
6.1356E+02
4.9473E+03
1.3681E+03
4.3246E+02
1.7647E+02
2.5261E+06
9.3551E+03
1.1513E+04
1.7500E+01
6.1356E+02
4.7117E+03
1.5400E+03
4.3246E+02
1.5441E+02
3.5431E+06
9.3551E+03
9.2106E+03
1.6500E+01
6.1356E+02
4.4761E+03
4.9893E+03
4.3246E+02
1.3235E+02
4.7312E+06
9.3551E+03
6.9080E+03
2.5000E+00
6.1356E+02
4.2405E+03
1.3329E+04
4.3246E+02
1.1030E+02
6.0997E+06
9.3551E+03
4.6053E+03
3.3500E+01
6.1356E+02
4.0050E+03
4.4308E+04
4.3246E+02
8.8237E+01
7.4375E+06
9.3551E+03
2.3027E+03
3.8417E+02
6.1356E+02
3.7694E+03
4.3246E+04
4.3246E+02
6.6177E+01
7.5971E+06
9.3551E+03
0.0000E+00
2.5523E+04
6.1356E+02
3.5338E+03
8.8672E+04
4.3246E+02
4.4118E+01
7.3340E+06
6.8933E+03
5.2961E+04
3.7500E+01
6.1356E+02
3.2982E+03
1.1037E+05
4.3246E+02
2.2059E+01
5.7800E+06
6.8933E+03
4.1448E+04
3.7500E+01
6.1356E+02
3.0626E+03
1.8237E+05
4.3246E+02
0.0000E+00
4.7624E+06
6.8933E+03
3.6842E+04
3.5000E+00
6.1356E+02
2.8270E+03
3.1851E+05
4.0844E+02
5.5148E+02
2.2461E+03
6.8933E+03
3.4540E+04
3.2417E+01
6.1356E+02
2.5914E+03
3.2691E+05
4.0844E+02
5.2942E+02
4.4921E+03
6.8933E+03
3.2237E+04
3.3658E+03
6.1356E+02
2.3559E+03
6.0412E+05
4.0844E+02
5.0736E+02
1.0149E+04
6.8933E+03
2.9934E+04
3.6298E+03
6.1356E+02
2.1203E+03
6.9995E+05
4.0844E+02
4.8530E+02
1.7963E+04
6.8933E+03
2.7632E+04
1.1967E+02
6.1356E+02
1.8847E+03
1.2165E+06
4.0844E+02
4.6324E+02
2.5811E+04
6.8933E+03
2.5329E+04
6.8148E+03
6.1356E+02
1.6491E+03
1.7362E+06
4.0844E+02
4.4118E+02
2.3908E+04
6.8933E+03
2.3027E+04
3.9041E+03
6.1356E+02
1.4135E+03
2.5404E+06
4.0844E+02
4.1912E+02
1.0196E+05
6.8933E+03
2.0724E+04
2.0467E+02
6.1356E+02
1.1779E+03
3.0733E+06
4.0844E+02
3.9706E+02
6.3627E+04
6.8933E+03
1.8421E+04
1.8050E+02
6.1356E+02
9.4234E+02
3.5751E+06
4.0844E+02
3.7501E+02
4.6900E+04
6.8933E+03
1.6119E+04
6.0000E+00
6.1356E+02
7.0676E+02
3.8233E+06
4.0844E+02
3.5295E+02
1.5888E+05
6.8933E+03
1.3816E+04
1.0500E+01
6.1356E+02
4.7117E+02
3.9095E+06
4.0844E+02
3.3089E+02
1.3360E+05
6.8933E+03
1.1513E+04
1.6500E+01
6.1356E+02
2.3559E+02
7.2982E+06
4.0844E+02
3.0883E+02
1.4384E+05
6.8933E+03
9.2106E+03
2.8000E+01
6.1356E+02
0.0000E+00
1.6094E+07
4.0844E+02
2.8677E+02
3.6873E+05
6.8933E+03
6.9080E+03
1.6500E+01
3.2630E+02
8.7167E+03
8.1665E+01
4.0844E+02
2.6471E+02
3.7944E+05
6.8933E+03
4.6053E+03
2.3553E+03
3.2630E+02
8.2455E+03
2.0833E+00
4.0844E+02
2.4265E+02
4.9145E+05
6.8933E+03
2.3027E+03
3.5240E+02
3.2630E+02
7.3032E+03
1.0951E+03
4.0844E+02
2.2059E+02
7.0837E+05
6.8933E+03
0.0000E+00
9.3043E+04
3.2630E+02
6.8320E+03
3.0357E+02
4.0844E+02
1.9853E+02
1.1621E+06
4.4316E+03
5.5264E+04
1.2500E+00
3.2630E+02
6.5964E+03
7.6648E+02
4.0844E+02
1.7647E+02
1.8411E+06
4.4316E+03
5.0658E+04
1.2500E+00
3.2630E+02
6.3608E+03
1.1542E+01
4.0844E+02
1.5441E+02
2.5526E+06
4.4316E+03
4.8356E+04
2.5000E+00
3.2630E+02
5.8896E+03
2.7461E+03
4.0844E+02
1.3235E+02
3.7484E+06
4.4316E+03
4.6053E+04
2.8917E+01
3.2630E+02
5.6541E+03
1.1497E+02
4.0844E+02
1.1030E+02
4.7552E+06
4.4316E+03
4.3750E+04
3.7500E+01
3.2630E+02
5.4185E+03
7.1568E+02
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
14/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
4.0844E+02
8.8237E+01
5.7255E+06
4.4316E+03
4.1448E+04
7.5000E+01
3.2630E+02
5.1829E+03
2.9180E+04
4.0844E+02
6.6177E+01
5.8367E+06
4.4316E+03
3.9145E+04
3.7500E+01
3.2630E+02
4.9473E+03
9.0488E+03
4.0844E+02
4.4118E+01
6.0982E+06
4.4316E+03
3.6842E+04
5.9583E+01
3.2630E+02
4.7117E+03
3.0930E+04
4.0844E+02
2.2059E+01
6.0997E+06
4.4316E+03
3.4540E+04
1.7208E+02
3.2630E+02
4.4761E+03
1.8286E+04
4.0844E+02
0.0000E+00
4.2782E+06
4.4316E+03
3.2237E+04
1.0567E+02
3.2630E+02
4.2405E+03
2.7267E+04
3.8442E+02
5.9560E+02
2.2461E+03
4.4316E+03
2.9934E+04
7.8500E+01
3.2630E+02
4.0050E+03
2.7098E+04
3.8442E+02
5.7354E+02
6.7382E+03
4.4316E+03
2.7632E+04
3.3456E+03
3.2630E+02
3.7694E+03
4.6127E+04
3.8442E+02
5.5148E+02
3.9513E+03
4.4316E+03
2.5329E+04
7.0000E+00
3.2630E+02
3.5338E+03
1.6811E+05
3.8442E+02
5.2942E+02
8.0733E+03
4.4316E+03
2.3027E+04
3.5475E+02
3.2630E+02
3.2982E+03
1.4169E+05
3.8442E+02
5.0736E+02
1.0149E+04
4.4316E+03
2.0724E+04
5.1108E+02
3.2630E+02
3.0626E+03
2.8585E+05
3.8442E+02
4.8530E+02
4.3642E+04
4.4316E+03
1.8421E+04
1.0409E+04
3.2630E+02
2.8270E+03
4.2504E+05
3.8442E+02
4.6324E+02
3.4627E+04
4.4316E+03
1.6119E+04
6.7946E+03
3.2630E+02
2.5914E+03
4.9773E+05
3.8442E+02
4.4118E+02
4.9076E+04
4.4316E+03
1.3816E+04
1.3467E+04
3.2630E+02
2.3559E+03
8.5720E+05
3.8442E+02
4.1912E+02
5.0972E+04
4.4316E+03
1.1513E+04
3.0760E+03
3.2630E+02
2.1203E+03
1.2255E+06
3.8442E+02
3.9706E+02
8.6191E+04
4.4316E+03
9.2106E+03
1.1917E+03
3.2630E+02
1.8847E+03
2.2666E+06
3.8442E+02
3.7501E+02
9.7847E+04
4.4316E+03
6.9080E+03
9.8445E+03
3.2630E+02
1.6491E+03
2.7476E+06
3.8442E+02
3.5295E+02
7.0996E+04
4.4316E+03
4.6053E+03
8.5679E+03
3.2630E+02
1.4135E+03
4.4066E+06
3.8442E+02
3.3089E+02
1.5807E+05
4.4316E+03
2.3027E+03
1.9906E+04
3.2630E+02
1.1779E+03
5.1850E+06
3.8442E+02
3.0883E+02
1.9949E+05
4.4316E+03
0.0000E+00
2.7324E+05
3.2630E+02
9.4234E+02
7.0847E+06
3.8442E+02
2.8677E+02
2.4329E+05
1.9698E+03
6.9080E+04
1.2500E+00
3.2630E+02
7.0676E+02
7.3497E+06
3.8442E+02
2.6471E+02
4.2636E+05
1.9698E+03
6.2172E+04
2.5000E+00
3.2630E+02
4.7117E+02
6.2916E+06
3.8442E+02
2.4265E+02
4.5912E+05
1.9698E+03
5.0658E+04
1.2500E+00
3.2630E+02
2.3559E+02
1.2699E+07
3.8442E+02
2.2059E+02
6.9456E+05
1.9698E+03
4.6053E+04
1.2500E+00
3.2630E+02
0.0000E+00
2.7052E+07
3.8442E+02
1.9853E+02
1.1495E+06
1.9698E+03
4.3750E+04
1.1250E+02
3.9044E+01
8.9523E+03
1.0417E+00
3.8442E+02
1.7647E+02
1.4843E+06
1.9698E+03
4.1448E+04
3.3346E+03
3.9044E+01
8.7167E+03
1.1226E+02
3.8442E+02
1.5441E+02
2.2580E+06
1.9698E+03
3.9145E+04
1.7500E+00
3.9044E+01
8.4811E+03
1.1122E+02
3.8442E+02
1.3235E+02
3.1198E+06
1.9698E+03
3.6842E+04
3.3912E+03
3.9044E+01
8.2455E+03
6.8303E+02
3.8442E+02
1.1030E+02
3.9598E+06
1.9698E+03
3.4540E+04
3.2417E+01
3.9044E+01
8.0099E+03
2.3017E+03
3.8442E+02
8.8237E+01
5.1622E+06
1.9698E+03
3.2237E+04
3.3351E+03
3.9044E+01
7.7743E+03
1.1243E+03
3.8442E+02
6.6177E+01
5.7372E+06
1.9698E+03
2.9934E+04
3.5000E+00
3.9044E+01
7.5387E+03
9.8386E+02
3.8442E+02
4.4118E+01
5.5777E+06
1.9698E+03
2.7632E+04
1.7500E+00
3.9044E+01
7.3032E+03
1.6683E+02
3.8442E+02
2.2059E+01
5.2534E+06
1.9698E+03
2.5329E+04
3.3334E+03
3.9044E+01
7.0676E+03
7.0371E+03
3.8442E+02
0.0000E+00
3.8122E+06
1.9698E+03
2.3027E+04
7.6750E+01
3.9044E+01
6.8320E+03
1.7288E+04
3.6040E+02
5.9560E+02
4.4921E+03
1.9698E+03
2.0724E+04
3.2033E+02
3.9044E+01
6.5964E+03
1.2076E+04
3.6040E+02
5.7354E+02
1.4641E+04
1.9698E+03
1.8421E+04
3.1569E+04
3.9044E+01
6.3608E+03
1.5079E+03
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
15/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
3.6040E+02
5.5148E+02
3.9533E+03
1.9698E+03
1.6119E+04
2.9395E+04
3.9044E+01
6.1252E+03
1.4760E+04
3.6040E+02
5.2942E+02
1.4055E+04
1.9698E+03
1.3816E+04
5.9705E+04
3.9044E+01
5.8896E+03
3.5739E+04
3.6040E+02
5.0736E+02
7.8537E+03
1.9698E+03
1.1513E+04
1.4642E+04
3.9044E+01
5.6541E+03
1.9867E+04
3.6040E+02
4.8530E+02
2.1880E+04
1.9698E+03
9.2106E+03
3.4873E+04
3.9044E+01
5.4185E+03
4.1230E+04
3.6040E+02
4.6324E+02
4.5652E+04
1.9698E+03
6.9080E+03
2.4239E+04
3.9044E+01
5.1829E+03
6.4518E+04
3.6040E+02
4.4118E+02
4.3008E+04
1.9698E+03
4.6053E+03
1.8669E+05
3.9044E+01
4.9473E+03
8.0519E+04
3.6040E+02
4.1912E+02
6.2126E+04
1.9698E+03
2.3027E+03
9.4625E+05
3.9044E+01
4.7117E+03
6.9228E+04
3.6040E+02
3.9706E+02
8.4339E+04
1.9698E+03
0.0000E+00
1.4478E+07
3.9044E+01
4.4761E+03
1.2109E+05
3.6040E+02
3.7501E+02
6.3538E+04
-4.9199E+02
5.2961E+04
1.2500E+00
3.9044E+01
4.2405E+03
8.9468E+04
3.6040E+02
3.5295E+02
1.0088E+05
-4.9199E+02
5.0658E+04
3.7500E+00
3.9044E+01
4.0050E+03
1.0769E+05
3.6040E+02
3.3089E+02
1.7059E+05
-4.9199E+02
4.8356E+04
5.0000E+00
3.9044E+01
3.7694E+03
2.0000E+05
3.6040E+02
3.0883E+02
2.4495E+05
-4.9199E+02
4.6053E+04
2.5000E+00
3.9044E+01
3.5338E+03
3.0056E+05
3.6040E+02
2.8677E+02
2.8533E+05
-4.9199E+02
4.3750E+04
2.5000E+00
3.9044E+01
3.2982E+03
2.9715E+05
3.6040E+02
2.6471E+02
3.8748E+05
-4.9199E+02
4.1448E+04
2.6250E+02
3.9044E+01
3.0626E+03
4.2811E+05
3.6040E+02
2.4265E+02
5.5721E+05
-4.9199E+02
3.9145E+04
2.1642E+02
3.9044E+01
2.8270E+03
7.0721E+05
3.6040E+02
2.2059E+02
8.6773E+05
-4.9199E+02
3.6842E+04
2.3100E+02
3.9044E+01
2.5914E+03
8.3859E+05
3.6040E+02
1.9853E+02
1.3797E+06
-4.9199E+02
3.4540E+04
3.4851E+03
3.9044E+01
2.3559E+03
1.1782E+06
3.6040E+02
1.7647E+02
1.5165E+06
-4.9199E+02
3.2237E+04
5.6500E+02
3.9044E+01
2.1203E+03
1.7770E+06
3.6040E+02
1.5441E+02
2.0859E+06
-4.9199E+02
2.9934E+04
4.5000E+02
3.9044E+01
1.8847E+03
2.4979E+06
3.6040E+02
1.3235E+02
3.1586E+06
-4.9199E+02
2.7632E+04
4.5125E+02
3.9044E+01
1.6491E+03
3.5714E+06
3.6040E+02
1.1030E+02
4.2108E+06
-4.9199E+02
2.5329E+04
4.5000E+02
3.9044E+01
1.4135E+03
4.7616E+06
3.6040E+02
8.8237E+01
5.3614E+06
-4.9199E+02
2.3027E+04
9.0000E+02
3.9044E+01
1.1779E+03
6.8580E+06
3.6040E+02
6.6177E+01
6.3058E+06
-4.9199E+02
2.0724E+04
2.1066E+03
3.9044E+01
9.4234E+02
9.1882E+06
3.6040E+02
4.4118E+01
6.0127E+06
-4.9199E+02
1.8421E+04
2.1653E+04
3.9044E+01
7.0676E+02
9.1677E+06
3.6040E+02
2.2059E+01
5.6916E+06
-4.9199E+02
1.6119E+04
4.3743E+04
3.9044E+01
4.7117E+02
9.9704E+06
3.6040E+02
0.0000E+00
4.3362E+06
-4.9199E+02
1.3816E+04
8.5374E+04
3.9044E+01
2.3559E+02
1.8462E+07
3.3638E+02
7.2795E+02
5.5610E+01
-4.9199E+02
1.1513E+04
9.9629E+04
3.9044E+01
0.0000E+00
7.6527E+07
3.3638E+02
6.8383E+02
8.5415E+01
-4.9199E+02
9.2106E+03
1.0183E+05
-2.4821E+02
9.1878E+03
5.5610E+01
3.3638E+02
6.6177E+02
5.5610E+01
-4.9199E+02
6.9080E+03
8.2669E+04
-2.4821E+02
8.9523E+03
5.5610E+01
3.3638E+02
6.3972E+02
1.9235E+02
-4.9199E+02
4.6053E+03
1.9387E+05
-2.4821E+02
8.7167E+03
7.9549E+02
3.3638E+02
6.1766E+02
1.0417E+00
-4.9199E+02
2.3027E+03
7.9056E+05
-2.4821E+02
8.2455E+03
8.4985E+02
3.3638E+02
5.9560E+02
1.3108E+03
-4.9199E+02
0.0000E+00
4.2633E+06
-2.4821E+02
8.0099E+03
6.0440E+02
3.3638E+02
5.7354E+02
6.9406E+03
-2.9538E+03
1.0362E+05
1.7500E+00
-2.4821E+02
7.7743E+03
4.7144E+02
3.3638E+02
5.5148E+02
7.1783E+03
-2.9538E+03
9.9014E+04
1.7500E+00
-2.4821E+02
7.5387E+03
9.0671E+02
3.3638E+02
5.2942E+02
1.1195E+04
-2.9538E+03
8.0593E+04
1.2500E+00
-2.4821E+02
7.3032E+03
1.6687E+04
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
16/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
3.3638E+02
5.0736E+02
1.1272E+04
-2.9538E+03
6.9080E+04
1.2500E+00
-2.4821E+02
7.0676E+03
2.5198E+04
3.3638E+02
4.8530E+02
1.9483E+04
-2.9538E+03
6.2172E+04
1.2500E+00
-2.4821E+02
6.8320E+03
2.0302E+04
3.3638E+02
4.6324E+02
3.4228E+04
-2.9538E+03
5.9869E+04
1.2500E+00
-2.4821E+02
6.5964E+03
2.0267E+04
3.3638E+02
4.4118E+02
3.0424E+04
-2.9538E+03
5.5264E+04
1.2500E+00
-2.4821E+02
6.3608E+03
1.9553E+04
3.3638E+02
4.1912E+02
4.0205E+04
-2.9538E+03
5.2961E+04
1.2500E+00
-2.4821E+02
6.1252E+03
4.6562E+04
3.3638E+02
3.9706E+02
8.8853E+04
-2.9538E+03
5.0658E+04
2.5000E+00
-2.4821E+02
5.8896E+03
4.0640E+04
3.3638E+02
3.7501E+02
1.3162E+05
-2.9538E+03
4.8356E+04
3.4583E+01
-2.4821E+02
5.6541E+03
5.2142E+04
3.3638E+02
3.5295E+02
1.2739E+05
-2.9538E+03
4.6053E+04
2.5000E+00
-2.4821E+02
5.4185E+03
5.0360E+04
3.3638E+02
3.3089E+02
1.5670E+05
-2.9538E+03
4.3750E+04
2.5000E+00
-2.4821E+02
5.1829E+03
7.8582E+04
3.3638E+02
3.0883E+02
3.0601E+05
-2.9538E+03
4.1448E+04
3.7500E+00
-2.4821E+02
4.9473E+03
9.2332E+04
3.3638E+02
2.8677E+02
4.5593E+05
-2.9538E+03
3.9145E+04
3.3333E+01
-2.4821E+02
4.7117E+03
9.4143E+04
3.3638E+02
2.6471E+02
6.1382E+05
-2.9538E+03
3.6842E+04
8.0000E+01
-2.4821E+02
4.4761E+03
1.6040E+05
3.3638E+02
2.4265E+02
7.4166E+05
-2.9538E+03
3.4540E+04
2.5000E+00
-2.4821E+02
4.2405E+03
1.2347E+05
3.3638E+02
2.2059E+02
9.7169E+05
-2.9538E+03
3.2237E+04
1.9550E+02
-2.4821E+02
4.0050E+03
2.4271E+05
3.3638E+02
1.9853E+02
1.1683E+06
-2.9538E+03
2.9934E+04
1.6875E+02
-2.4821E+02
3.7694E+03
2.3858E+05
3.3638E+02
1.7647E+02
1.7381E+06
-2.9538E+03
2.7632E+04
1.5500E+02
-2.4821E+02
3.5338E+03
3.1789E+05
3.3638E+02
1.5441E+02
2.5740E+06
-2.9538E+03
2.5329E+04
8.2500E+01
-2.4821E+02
3.2982E+03
4.4486E+05
3.3638E+02
1.3235E+02
3.5578E+06
-2.9538E+03
2.3027E+04
1.8400E+03
-2.4821E+02
3.0626E+03
5.6993E+05
3.3638E+02
1.1030E+02
4.2541E+06
-2.9538E+03
2.0724E+04
3.0764E+03
-2.4821E+02
2.8270E+03
6.9902E+05
3.3638E+02
8.8237E+01
5.7682E+06
-2.9538E+03
1.8421E+04
2.1333E+03
-2.4821E+02
2.5914E+03
1.2075E+06
3.3638E+02
6.6177E+01
7.2637E+06
-2.9538E+03
1.6119E+04
2.6690E+03
-2.4821E+02
2.3559E+03
1.5407E+06
3.3638E+02
4.4118E+01
7.3043E+06
-2.9538E+03
1.3816E+04
2.8818E+03
-2.4821E+02
2.1203E+03
1.7850E+06
3.3638E+02
2.2059E+01
6.6732E+06
-2.9538E+03
1.1513E+04
6.4561E+03
-2.4821E+02
1.8847E+03
2.6922E+06
3.3638E+02
0.0000E+00
4.9367E+06
-2.9538E+03
9.2106E+03
1.1599E+04
-2.4821E+02
1.6491E+03
3.3997E+06
3.1236E+02
7.5001E+02
5.5610E+01
-2.9538E+03
6.9080E+03
1.5618E+04
-2.4821E+02
1.4135E+03
4.7370E+06
3.1236E+02
7.0589E+02
1.1122E+02
-2.9538E+03
4.6053E+03
1.8347E+05
-2.4821E+02
1.1779E+03
6.4957E+06
3.1236E+02
6.8383E+02
3.0232E+02
-2.9538E+03
2.3027E+03
1.5786E+06
-2.4821E+02
9.4234E+02
8.3064E+06
3.1236E+02
6.6177E+02
1.7204E+02
-2.9538E+03
0.0000E+00
6.1116E+06
-2.4821E+02
7.0676E+02
8.9118E+06
3.1236E+02
6.3972E+02
8.6665E+01
-5.4155E+03
1.0362E+05
1.7500E+00
-2.4821E+02
4.7117E+02
8.5630E+06
3.1236E+02
6.1766E+02
3.3477E+03
-5.4155E+03
9.4409E+04
1.7500E+00
-2.4821E+02
2.3559E+02
1.7470E+07
3.1236E+02
5.9560E+02
4.0197E+03
-5.4155E+03
9.2106E+04
3.5000E+00
-2.4821E+02
0.0000E+00
3.3945E+07
3.1236E+02
5.7354E+02
1.5597E+03
-5.4155E+03
8.5198E+04
1.2500E+00
-5.3547E+02
8.7167E+03
3.0232E+02
3.1236E+02
5.5148E+02
1.0605E+04
-5.4155E+03
7.5988E+04
1.2500E+00
-5.3547E+02
8.4811E+03
5.5610E+01
3.1236E+02
5.2942E+02
4.5739E+03
-5.4155E+03
5.5264E+04
2.5000E+00
-5.3547E+02
8.2455E+03
1.6787E+02
3.1236E+02
5.0736E+02
1.7618E+04
-5.4155E+03
5.2961E+04
5.0000E+00
-5.3547E+02
8.0099E+03
1.9963E+03
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
17/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
3.1236E+02
4.8530E+02
1.5599E+04
-5.4155E+03
5.0658E+04
4.0000E+01
-5.3547E+02
7.7743E+03
2.8468E+03
3.1236E+02
4.6324E+02
2.3962E+04
-5.4155E+03
4.6053E+04
3.8750E+01
-5.3547E+02
7.5387E+03
3.6450E+03
3.1236E+02
4.4118E+02
4.0799E+04
-5.4155E+03
4.3750E+04
7.7500E+01
-5.3547E+02
7.3032E+03
3.6901E+03
3.1236E+02
4.1912E+02
4.1565E+04
-5.4155E+03
4.1448E+04
7.3333E+01
-5.3547E+02
7.0676E+03
9.0394E+03
3.1236E+02
3.9706E+02
7.7436E+04
-5.4155E+03
3.9145E+04
8.0000E+01
-5.3547E+02
6.8320E+03
2.1093E+04
3.1236E+02
3.7501E+02
9.3967E+04
-5.4155E+03
3.6842E+04
8.9329E+01
-5.3547E+02
6.5964E+03
3.8818E+04
3.1236E+02
3.5295E+02
1.9486E+05
-5.4155E+03
3.4540E+04
1.8208E+02
-5.3547E+02
6.3608E+03
2.3886E+04
3.1236E+02
3.3089E+02
3.0187E+05
-5.4155E+03
3.2237E+04
1.7750E+02
-5.3547E+02
6.1252E+03
4.6839E+04
3.1236E+02
3.0883E+02
2.5464E+05
-5.4155E+03
2.9934E+04
3.1500E+02
-5.3547E+02
5.8896E+03
3.3896E+04
3.1236E+02
2.8677E+02
4.6739E+05
-5.4155E+03
2.7632E+04
2.6125E+02
-5.3547E+02
5.6541E+03
6.6707E+04
3.1236E+02
2.6471E+02
5.5520E+05
-5.4155E+03
2.5329E+04
3.2349E+02
-5.3547E+02
5.4185E+03
8.8934E+04
3.1236E+02
2.4265E+02
7.9755E+05
-5.4155E+03
2.3027E+04
2.7796E+02
-5.3547E+02
5.1829E+03
9.9594E+04
3.1236E+02
2.2059E+02
9.7649E+05
-5.4155E+03
2.0724E+04
1.6499E+03
-5.3547E+02
4.9473E+03
1.2862E+05
3.1236E+02
1.9853E+02
1.2165E+06
-5.4155E+03
1.8421E+04
6.8381E+03
-5.3547E+02
4.7117E+03
1.1973E+05
3.1236E+02
1.7647E+02
1.8993E+06
-5.4155E+03
1.6119E+04
7.1802E+03
-5.3547E+02
4.4761E+03
1.2584E+05
3.1236E+02
1.5441E+02
2.1712E+06
-5.4155E+03
1.3816E+04
1.2035E+04
-5.3547E+02
4.2405E+03
2.5662E+05
3.1236E+02
1.3235E+02
3.1316E+06
-5.4155E+03
1.1513E+04
1.3981E+04
-5.3547E+02
4.0050E+03
2.4830E+05
3.1236E+02
1.1030E+02
4.4017E+06
-5.4155E+03
9.2106E+03
2.6615E+04
-5.3547E+02
3.7694E+03
1.9299E+05
3.1236E+02
8.8237E+01
6.2405E+06
-5.4155E+03
6.9080E+03
3.0884E+04
-5.3547E+02
3.5338E+03
3.5462E+05
3.1236E+02
6.6177E+01
7.6786E+06
-5.4155E+03
4.6053E+03
4.9318E+05
-5.3547E+02
3.2982E+03
4.6182E+05
3.1236E+02
4.4118E+01
8.1332E+06
-5.4155E+03
2.3027E+03
3.4594E+06
-5.3547E+02
3.0626E+03
4.4421E+05
3.1236E+02
2.2059E+01
7.3870E+06
-5.4155E+03
0.0000E+00
1.1670E+07
-5.3547E+02
2.8270E+03
7.6176E+05
3.1236E+02
0.0000E+00
5.0096E+06
-7.8773E+03
1.1513E+05
1.7500E+00
-5.3547E+02
2.5914E+03
1.0317E+06
2.8834E+02
7.0589E+02
1.1122E+02
-7.8773E+03
1.1283E+05
1.7500E+00
-5.3547E+02
2.3559E+03
1.4494E+06
2.8834E+02
6.8383E+02
1.4102E+02
-7.8773E+03
1.1053E+05
1.7500E+00
-5.3547E+02
2.1203E+03
2.0423E+06
2.8834E+02
6.6177E+02
4.9466E+02
-7.8773E+03
1.0132E+05
1.7500E+00
-5.3547E+02
1.8847E+03
2.8853E+06
2.8834E+02
6.3972E+02
1.1747E+02
-7.8773E+03
9.9014E+04
3.5000E+00
-5.3547E+02
1.6491E+03
4.1554E+06
2.8834E+02
6.1766E+02
9.3839E+02
-7.8773E+03
9.6711E+04
1.7500E+00
-5.3547E+02
1.4135E+03
4.5122E+06
2.8834E+02
5.9560E+02
1.6702E+03
-7.8773E+03
9.4409E+04
5.2500E+00
-5.3547E+02
1.1779E+03
5.4948E+06
2.8834E+02
5.7354E+02
4.3152E+03
-7.8773E+03
8.5198E+04
1.2500E+00
-5.3547E+02
9.4234E+02
6.5515E+06
2.8834E+02
5.5148E+02
8.5663E+03
-7.8773E+03
7.8290E+04
1.2500E+00
-5.3547E+02
7.0676E+02
6.2030E+06
2.8834E+02
5.2942E+02
6.9156E+03
-7.8773E+03
6.2172E+04
1.2500E+00
-5.3547E+02
4.7117E+02
7.1146E+06
2.8834E+02
5.0736E+02
1.2040E+04
-7.8773E+03
5.7566E+04
1.2500E+00
-5.3547E+02
2.3559E+02
1.3684E+07
2.8834E+02
4.8530E+02
2.7827E+04
-7.8773E+03
5.2961E+04
2.5000E+00
-5.3547E+02
0.0000E+00
2.6356E+07
2.8834E+02
4.6324E+02
3.1808E+04
-7.8773E+03
5.0658E+04
1.2500E+00
-8.2272E+02
8.7167E+03
1.0417E+00
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
18/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
2.8834E+02
4.4118E+02
3.6385E+04
-7.8773E+03
4.8356E+04
1.2500E+00
-8.2272E+02
8.4811E+03
2.5316E+02
2.8834E+02
4.1912E+02
6.8035E+04
-7.8773E+03
4.6053E+04
6.8295E+00
-8.2272E+02
8.2455E+03
5.6652E+01
2.8834E+02
3.9706E+02
9.0954E+04
-7.8773E+03
4.3750E+04
3.7500E+01
-8.2272E+02
8.0099E+03
1.6683E+02
2.8834E+02
3.7501E+02
9.0338E+04
-7.8773E+03
4.1448E+04
9.7989E+01
-8.2272E+02
7.7743E+03
2.4318E+02
2.8834E+02
3.5295E+02
1.3830E+05
-7.8773E+03
3.9145E+04
7.8750E+01
-8.2272E+02
7.5387E+03
2.2577E+02
2.8834E+02
3.3089E+02
1.9329E+05
-7.8773E+03
3.6842E+04
2.0433E+02
-8.2272E+02
7.3032E+03
3.5654E+03
2.8834E+02
3.0883E+02
2.3202E+05
-7.8773E+03
3.4540E+04
1.9750E+02
-8.2272E+02
7.0676E+03
6.1579E+03
2.8834E+02
2.8677E+02
2.9594E+05
-7.8773E+03
3.2237E+04
2.0671E+02
-8.2272E+02
6.8320E+03
1.0857E+04
2.8834E+02
2.6471E+02
4.3960E+05
-7.8773E+03
2.9934E+04
9.9583E+01
-8.2272E+02
6.5964E+03
1.5061E+04
2.8834E+02
2.4265E+02
5.2666E+05
-7.8773E+03
2.7632E+04
1.9076E+02
-8.2272E+02
6.3608E+03
2.0783E+04
2.8834E+02
2.2059E+02
6.6535E+05
-7.8773E+03
2.5329E+04
3.2565E+02
-8.2272E+02
6.1252E+03
3.9797E+04
2.8834E+02
1.9853E+02
9.3360E+05
-7.8773E+03
2.3027E+04
1.3094E+03
-8.2272E+02
5.8896E+03
2.6782E+04
2.8834E+02
1.7647E+02
1.1425E+06
-7.8773E+03
2.0724E+04
6.5851E+03
-8.2272E+02
5.6541E+03
4.6906E+04
2.8834E+02
1.5441E+02
1.7749E+06
-7.8773E+03
1.8421E+04
4.0849E+03
-8.2272E+02
5.4185E+03
3.3058E+04
2.8834E+02
1.3235E+02
2.3566E+06
-7.8773E+03
1.6119E+04
7.4248E+03
-8.2272E+02
5.1829E+03
9.0645E+04
2.8834E+02
1.1030E+02
3.6670E+06
-7.8773E+03
1.3816E+04
1.0686E+04
-8.2272E+02
4.9473E+03
1.0849E+05
2.8834E+02
8.8237E+01
4.9361E+06
-7.8773E+03
1.1513E+04
2.2894E+04
-8.2272E+02
4.7117E+03
9.3952E+04
2.8834E+02
6.6177E+01
7.1978E+06
-7.8773E+03
9.2106E+03
1.8831E+04
-8.2272E+02
4.4761E+03
9.7861E+04
2.8834E+02
4.4118E+01
7.4604E+06
-7.8773E+03
6.9080E+03
3.7483E+04
-8.2272E+02
4.2405E+03
1.0979E+05
2.8834E+02
2.2059E+01
7.3439E+06
-7.8773E+03
4.6053E+03
6.1886E+05
-8.2272E+02
4.0050E+03
1.5520E+05
2.8834E+02
0.0000E+00
4.5577E+06
-7.8773E+03
2.3027E+03
6.2651E+06
-8.2272E+02
3.7694E+03
2.0844E+05
2.6432E+02
7.7207E+02
5.5610E+01
-7.8773E+03
0.0000E+00
1.7897E+07
-8.2272E+02
3.5338E+03
2.0671E+05
2.6432E+02
7.2795E+02
3.9469E+02
-1.0339E+04
1.1283E+05
7.0000E+00
-8.2272E+02
3.2982E+03
4.3262E+05
2.6432E+02
7.0589E+02
1.0417E+00
-1.0339E+04
1.1053E+05
1.7500E+00
-8.2272E+02
3.0626E+03
5.5763E+05
2.6432E+02
6.8383E+02
9.9391E+02
-1.0339E+04
1.0592E+05
1.0417E+01
-8.2272E+02
2.8270E+03
6.9581E+05
2.6432E+02
6.6177E+02
5.5235E+02
-1.0339E+04
1.0362E+05
1.7500E+00
-8.2272E+02
2.5914E+03
9.8433E+05
2.6432E+02
6.3972E+02
3.6180E+02
-1.0339E+04
9.9014E+04
1.7500E+00
-8.2272E+02
2.3559E+03
1.3722E+06
2.6432E+02
6.1766E+02
1.4291E+03
-1.0339E+04
9.6711E+04
1.7500E+00
-8.2272E+02
2.1203E+03
1.8511E+06
2.6432E+02
5.9560E+02
1.2711E+03
-1.0339E+04
9.4409E+04
1.7500E+00
-8.2272E+02
1.8847E+03
2.7424E+06
2.6432E+02
5.7354E+02
1.4330E+03
-1.0339E+04
8.7501E+04
1.7500E+00
-8.2272E+02
1.6491E+03
3.2525E+06
2.6432E+02
5.5148E+02
3.0223E+03
-1.0339E+04
8.2896E+04
3.0000E+00
-8.2272E+02
1.4135E+03
4.1671E+06
2.6432E+02
5.2942E+02
4.8815E+03
-1.0339E+04
8.0593E+04
6.0000E+00
-8.2272E+02
1.1779E+03
4.1683E+06
2.6432E+02
5.0736E+02
7.6445E+03
-1.0339E+04
7.8290E+04
1.2500E+00
-8.2272E+02
9.4234E+02
4.7885E+06
2.6432E+02
4.8530E+02
6.4506E+03
-1.0339E+04
7.3685E+04
1.2500E+00
-8.2272E+02
7.0676E+02
4.3630E+06
2.6432E+02
4.6324E+02
1.6619E+04
-1.0339E+04
6.9080E+04
1.2500E+00
-8.2272E+02
4.7117E+02
4.3862E+06
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
19/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
2.6432E+02
4.4118E+02
1.0623E+04
-1.0339E+04
5.0658E+04
6.8295E+00
-8.2272E+02
2.3559E+02
9.1187E+06
2.6432E+02
4.1912E+02
2.4005E+04
-1.0339E+04
4.8356E+04
1.2500E+00
-8.2272E+02
0.0000E+00
1.7197E+07
2.6432E+02
3.9706E+02
4.2916E+04
-1.0339E+04
4.3750E+04
3.7500E+00
-1.1100E+03
9.4234E+03
5.5610E+01
2.6432E+02
3.7501E+02
5.3998E+04
-1.0339E+04
4.1448E+04
1.9574E+01
-1.1100E+03
8.7167E+03
1.2500E+00
2.6432E+02
3.5295E+02
7.0768E+04
-1.0339E+04
3.9145E+04
1.9636E+01
-1.1100E+03
8.2455E+03
1.2500E+00
2.6432E+02
3.3089E+02
9.5068E+04
-1.0339E+04
3.6842E+04
1.6159E+01
-1.1100E+03
8.0099E+03
2.2461E+03
2.6432E+02
3.0883E+02
1.0259E+05
-1.0339E+04
3.4540E+04
3.0182E+01
-1.1100E+03
7.7743E+03
2.5000E+00
2.6432E+02
2.8677E+02
1.5193E+05
-1.0339E+04
3.2237E+04
7.5579E+01
-1.1100E+03
7.5387E+03
3.9469E+02
2.6432E+02
2.6471E+02
1.8388E+05
-1.0339E+04
2.9934E+04
1.4330E+01
-1.1100E+03
7.3032E+03
1.1455E+02
2.6432E+02
2.4265E+02
2.7333E+05
-1.0339E+04
2.7632E+04
1.9394E+02
-1.1100E+03
7.0676E+03
1.1226E+02
2.6432E+02
2.2059E+02
4.1670E+05
-1.0339E+04
2.5329E+04
4.2295E+02
-1.1100E+03
6.8320E+03
2.3552E+03
2.6432E+02
1.9853E+02
5.3643E+05
-1.0339E+04
2.3027E+04
1.0409E+04
-1.1100E+03
6.5964E+03
4.0881E+03
2.6432E+02
1.7647E+02
7.8659E+05
-1.0339E+04
2.0724E+04
9.4917E+02
-1.1100E+03
6.3608E+03
6.0563E+03
2.6432E+02
1.5441E+02
9.8813E+05
-1.0339E+04
1.8421E+04
7.0073E+02
-1.1100E+03
6.1252E+03
7.2147E+02
2.6432E+02
1.3235E+02
1.8313E+06
-1.0339E+04
1.6119E+04
9.8607E+03
-1.1100E+03
5.8896E+03
1.2702E+03
2.6432E+02
1.1030E+02
3.2052E+06
-1.0339E+04
1.3816E+04
1.8857E+04
-1.1100E+03
5.6541E+03
1.2184E+04
2.6432E+02
8.8237E+01
4.8043E+06
-1.0339E+04
1.1513E+04
2.3528E+04
-1.1100E+03
5.4185E+03
9.7427E+03
2.6432E+02
6.6177E+01
6.5551E+06
-1.0339E+04
9.2106E+03
7.0571E+04
-1.1100E+03
5.1829E+03
2.0692E+04
2.6432E+02
4.4118E+01
7.3440E+06
-1.0339E+04
6.9080E+03
8.5861E+04
-1.1100E+03
4.9473E+03
1.1247E+04
2.6432E+02
2.2059E+01
7.6167E+06
-1.0339E+04
4.6053E+03
1.2883E+06
-1.1100E+03
4.7117E+03
2.2466E+04
2.6432E+02
0.0000E+00
4.6204E+06
-1.0339E+04
2.3027E+03
8.0052E+06
-1.1100E+03
4.4761E+03
4.3050E+04
2.4030E+02
8.1619E+02
1.0417E+00
-1.0339E+04
0.0000E+00
2.3597E+07
-1.1100E+03
4.2405E+03
5.2797E+04
2.4030E+02
7.9413E+02
3.8542E+01
-1.2801E+04
1.1283E+05
1.7500E+00
-1.1100E+03
4.0050E+03
9.8396E+04
2.4030E+02
7.7207E+02
5.2085E+00
-1.2801E+04
1.1053E+05
3.5000E+00
-1.1100E+03
3.7694E+03
1.0752E+05
2.4030E+02
7.2795E+02
1.0417E+00
-1.2801E+04
1.0822E+05
5.2085E+00
-1.1100E+03
3.5338E+03
1.5338E+05
2.4030E+02
7.0589E+02
1.0417E+00
-1.2801E+04
1.0592E+05
9.0626E+01
-1.1100E+03
3.2982E+03
2.4763E+05
2.4030E+02
6.8383E+02
1.0417E+00
-1.2801E+04
1.0362E+05
3.5000E+00
-1.1100E+03
3.0626E+03
2.8482E+05
2.4030E+02
6.6177E+02
1.5018E+03
-1.2801E+04
9.9014E+04
1.7500E+00
-1.1100E+03
2.8270E+03
5.0682E+05
2.4030E+02
6.3972E+02
6.5876E+02
-1.2801E+04
9.6711E+04
1.7500E+00
-1.1100E+03
2.5914E+03
6.7637E+05
2.4030E+02
6.1766E+02
1.2209E+03
-1.2801E+04
9.4409E+04
7.0000E+00
-1.1100E+03
2.3559E+03
8.8546E+05
2.4030E+02
5.9560E+02
2.2311E+02
-1.2801E+04
9.2106E+04
1.7500E+00
-1.1100E+03
2.1203E+03
1.2222E+06
2.4030E+02
5.7354E+02
1.2780E+03
-1.2801E+04
8.5198E+04
1.2500E+00
-1.1100E+03
1.8847E+03
1.7679E+06
2.4030E+02
5.5148E+02
9.9025E+02
-1.2801E+04
8.2896E+04
3.0000E+00
-1.1100E+03
1.6491E+03
2.0479E+06
2.4030E+02
5.2942E+02
1.5915E+03
-1.2801E+04
8.0593E+04
1.2500E+00
-1.1100E+03
1.4135E+03
2.6799E+06
2.4030E+02
5.0736E+02
5.8241E+02
-1.2801E+04
7.5988E+04
1.2500E+00
-1.1100E+03
1.1779E+03
2.8106E+06
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
20/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
2.4030E+02
4.8530E+02
1.8152E+03
-1.2801E+04
7.3685E+04
1.2500E+00
-1.1100E+03
9.4234E+02
2.7864E+06
2.4030E+02
4.6324E+02
5.9390E+03
-1.2801E+04
7.1382E+04
4.0000E+01
-1.1100E+03
7.0676E+02
3.1852E+06
2.4030E+02
4.4118E+02
5.1182E+03
-1.2801E+04
6.9080E+04
1.2500E+00
-1.1100E+03
4.7117E+02
3.2713E+06
2.4030E+02
4.1912E+02
3.3690E+03
-1.2801E+04
6.4474E+04
1.2500E+00
-1.1100E+03
2.3559E+02
6.2463E+06
2.4030E+02
3.9706E+02
7.5397E+03
-1.2801E+04
6.2172E+04
1.2500E+00
-1.1100E+03
0.0000E+00
1.1758E+07
2.4030E+02
3.7501E+02
9.7451E+03
-1.2801E+04
5.9869E+04
2.5000E+00
-1.3972E+03
8.7167E+03
8.7500E+01
2.4030E+02
3.5295E+02
3.9636E+04
-1.2801E+04
5.2961E+04
1.7500E+00
-1.3972E+03
8.2455E+03
3.7500E+01
2.4030E+02
3.3089E+02
7.2485E+04
-1.2801E+04
5.0658E+04
2.5000E+00
-1.3972E+03
8.0099E+03
1.2500E+00
2.4030E+02
3.0883E+02
4.4268E+04
-1.2801E+04
4.8356E+04
3.1328E-02
-1.3972E+03
7.7743E+03
1.0417E+00
2.4030E+02
2.8677E+02
4.3636E+04
-1.2801E+04
4.6053E+04
1.9079E+00
-1.3972E+03
7.5387E+03
1.9485E+02
2.4030E+02
2.6471E+02
6.1201E+04
-1.2801E+04
4.3750E+04
2.7538E+00
-1.3972E+03
7.3032E+03
2.3302E+03
2.4030E+02
2.4265E+02
1.6442E+05
-1.2801E+04
4.1448E+04
7.5187E+00
-1.3972E+03
6.8320E+03
5.5610E+01
2.4030E+02
2.2059E+02
1.6110E+05
-1.2801E+04
3.6842E+04
1.5664E+00
-1.3972E+03
6.5964E+03
1.2500E+00
2.4030E+02
1.9853E+02
2.2417E+05
-1.2801E+04
3.4540E+04
2.1617E+00
-1.3972E+03
6.3608E+03
1.4872E+02
2.4030E+02
1.7647E+02
2.5754E+05
-1.2801E+04
3.2237E+04
2.9571E+01
-1.3972E+03
5.8896E+03
2.8213E+02
2.4030E+02
1.5441E+02
6.9131E+05
-1.2801E+04
2.9934E+04
1.3628E+01
-1.3972E+03
5.6541E+03
1.3717E+03
2.4030E+02
1.3235E+02
1.0771E+06
-1.2801E+04
2.7632E+04
3.5181E+01
-1.3972E+03
5.4185E+03
6.6376E+02
2.4030E+02
1.1030E+02
1.9439E+06
-1.2801E+04
2.5329E+04
2.0489E+01
-1.3972E+03
5.1829E+03
1.1964E+02
2.4030E+02
8.8237E+01
3.6467E+06
-1.2801E+04
2.3027E+04
6.7418E+01
-1.3972E+03
4.9473E+03
2.9654E+03
2.4030E+02
6.6177E+01
5.4095E+06
-1.2801E+04
2.0724E+04
7.8252E+03
-1.3972E+03
4.7117E+03
2.7672E+03
2.4030E+02
4.4118E+01
7.2118E+06
-1.2801E+04
1.8421E+04
3.4400E+04
-1.3972E+03
4.4761E+03
6.7387E+03
2.4030E+02
2.2059E+01
7.0701E+06
-1.2801E+04
1.6119E+04
3.8122E+04
-1.3972E+03
4.2405E+03
5.8134E+03
2.4030E+02
0.0000E+00
4.0524E+06
-1.2801E+04
1.3816E+04
1.5964E+04
-1.3972E+03
4.0050E+03
1.6556E+04
2.1628E+02
9.0443E+02
1.1667E+01
-1.2801E+04
1.1513E+04
3.1459E+04
-1.3972E+03
3.7694E+03
2.9663E+04
2.1628E+02
8.3825E+02
1.2500E+00
-1.2801E+04
9.2106E+03
3.1858E+04
-1.3972E+03
3.5338E+03
8.5657E+04
2.1628E+02
8.1619E+02
1.2500E+00
-1.2801E+04
6.9080E+03
7.9710E+04
-1.3972E+03
3.2982E+03
1.2038E+05
2.1628E+02
7.9413E+02
3.7500E+01
-1.2801E+04
4.6053E+03
1.4657E+06
-1.3972E+03
3.0626E+03
1.4214E+05
2.1628E+02
7.7207E+02
7.0833E+01
-1.2801E+04
2.3027E+03
1.0777E+07
-1.3972E+03
2.8270E+03
1.8142E+05
2.1628E+02
7.5001E+02
5.2085E+00
-1.2801E+04
0.0000E+00
2.8395E+07
-1.3972E+03
2.5914E+03
3.2667E+05
2.1628E+02
7.2795E+02
7.6250E+01
-1.5263E+04
1.0822E+05
1.7500E+00
-1.3972E+03
2.3559E+03
4.4713E+05
2.1628E+02
7.0589E+02
1.0417E+00
-1.5263E+04
1.0592E+05
1.7500E+00
-1.3972E+03
2.1203E+03
6.1438E+05
2.1628E+02
6.8383E+02
5.6860E+01
-1.5263E+04
1.0362E+05
1.7500E+00
-1.3972E+03
1.8847E+03
1.0010E+06
2.1628E+02
6.6177E+02
1.4583E+01
-1.5263E+04
1.0132E+05
3.5000E+00
-1.3972E+03
1.6491E+03
1.1988E+06
2.1628E+02
6.3972E+02
1.0417E+00
-1.5263E+04
9.9014E+04
1.2167E+01
-1.3972E+03
1.4135E+03
1.4060E+06
2.1628E+02
5.9560E+02
1.0417E+00
-1.5263E+04
9.6711E+04
5.2500E+00
-1.3972E+03
1.1779E+03
1.5587E+06
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
21/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
2.1628E+02
5.7354E+02
4.9401E+02
-1.5263E+04
9.4409E+04
8.7085E+00
-1.3972E+03
9.4234E+02
1.6324E+06
2.1628E+02
5.2942E+02
1.0698E+03
-1.5263E+04
9.2106E+04
1.7500E+00
-1.3972E+03
7.0676E+02
1.8246E+06
2.1628E+02
5.0736E+02
3.1250E+00
-1.5263E+04
8.2896E+04
3.7500E+01
-1.3972E+03
4.7117E+02
1.8987E+06
2.1628E+02
4.8530E+02
3.9098E+02
-1.5263E+04
8.0593E+04
3.5000E+00
-1.3972E+03
2.3559E+02
3.9988E+06
2.1628E+02
4.6324E+02
5.5785E+02
-1.5263E+04
7.8290E+04
1.2500E+00
-1.3972E+03
0.0000E+00
7.7133E+06
2.1628E+02
4.4118E+02
4.4172E+00
-1.5263E+04
7.5988E+04
1.2500E+00
-1.6845E+03
9.8946E+03
1.2500E+00
2.1628E+02
4.1912E+02
1.5353E+03
-1.5263E+04
7.3685E+04
1.2500E+00
-1.6845E+03
8.7167E+03
2.5000E+00
2.1628E+02
3.9706E+02
8.8960E+02
-1.5263E+04
7.1382E+04
4.3000E+01
-1.6845E+03
8.2455E+03
5.6860E+01
2.1628E+02
3.7501E+02
3.3258E+03
-1.5263E+04
6.9080E+04
1.2500E+00
-1.6845E+03
7.5387E+03
1.2500E+00
2.1628E+02
3.5295E+02
3.4603E+03
-1.5263E+04
6.6777E+04
3.8750E+01
-1.6845E+03
7.3032E+03
1.0417E+00
2.1628E+02
3.3089E+02
2.2594E+04
-1.5263E+04
5.9869E+04
1.2500E+00
-1.6845E+03
7.0676E+03
1.2500E+00
2.1628E+02
3.0883E+02
1.1733E+04
-1.5263E+04
5.5264E+04
2.5940E+00
-1.6845E+03
6.5964E+03
9.5207E+01
2.1628E+02
2.8677E+02
2.4480E+04
-1.5263E+04
5.0658E+04
1.8797E-01
-1.6845E+03
6.3608E+03
5.6860E+01
2.1628E+02
2.6471E+02
3.9779E+04
-1.5263E+04
4.8356E+04
9.3985E-02
-1.6845E+03
5.8896E+03
5.5610E+01
2.1628E+02
2.4265E+02
9.2696E+04
-1.5263E+04
4.6053E+04
1.8797E-01
-1.6845E+03
5.6541E+03
2.2917E+00
2.1628E+02
2.2059E+02
9.5846E+04
-1.5263E+04
4.1448E+04
1.0338E+00
-1.6845E+03
5.4185E+03
2.8388E+02
2.1628E+02
1.9853E+02
1.1076E+05
-1.5263E+04
3.9145E+04
1.4724E+00
-1.6845E+03
5.1829E+03
4.1250E+01
2.1628E+02
1.7647E+02
1.0262E+05
-1.5263E+04
3.6842E+04
1.8797E-01
-1.6845E+03
4.9473E+03
2.2988E+03
2.1628E+02
1.5441E+02
2.1858E+05
-1.5263E+04
3.4540E+04
4.2450E+00
-1.6845E+03
4.7117E+03
3.7500E+00
2.1628E+02
1.3235E+02
5.2200E+05
-1.5263E+04
3.2237E+04
4.3860E+00
-1.6845E+03
4.4761E+03
4.3551E+03
2.1628E+02
1.1030E+02
1.0235E+06
-1.5263E+04
2.9934E+04
3.4279E+02
-1.6845E+03
4.2405E+03
2.5260E+03
2.1628E+02
8.8237E+01
2.2632E+06
-1.5263E+04
2.7632E+04
1.6530E+02
-1.6845E+03
4.0050E+03
1.3107E+04
2.1628E+02
6.6177E+01
4.9564E+06
-1.5263E+04
2.5329E+04
9.4298E+00
-1.6845E+03
3.7694E+03
8.2948E+03
2.1628E+02
4.4118E+01
6.7161E+06
-1.5263E+04
2.3027E+04
1.5630E+04
-1.6845E+03
3.5338E+03
1.5844E+04
2.1628E+02
2.2059E+01
8.0646E+06
-1.5263E+04
2.0724E+04
1.5514E+04
-1.6845E+03
3.2982E+03
3.5894E+04
2.1628E+02
0.0000E+00
4.1052E+06
-1.5263E+04
1.8421E+04
7.9225E+03
-1.6845E+03
3.0626E+03
2.3352E+04
1.9226E+02
9.9266E+02
5.2085E+00
-1.5263E+04
1.6119E+04
2.3199E+04
-1.6845E+03
2.8270E+03
4.8532E+04
1.9226E+02
8.6031E+02
6.4585E+00
-1.5263E+04
1.3816E+04
7.9344E+03
-1.6845E+03
2.5914E+03
1.3258E+05
1.9226E+02
8.3825E+02
3.5083E+01
-1.5263E+04
1.1513E+04
6.2605E+04
-1.6845E+03
2.3559E+03
1.1620E+05
1.9226E+02
8.1619E+02
1.7500E+00
-1.5263E+04
9.2106E+03
1.2753E+04
-1.6845E+03
2.1203E+03
2.6728E+05
1.9226E+02
7.5001E+02
1.2500E+00
-1.5263E+04
6.9080E+03
1.3663E+05
-1.6845E+03
1.8847E+03
4.0464E+05
1.9226E+02
7.2795E+02
3.6875E+01
-1.5263E+04
4.6053E+03
1.2713E+06
-1.6845E+03
1.6491E+03
5.4361E+05
1.9226E+02
7.0589E+02
2.5000E+00
-1.5263E+04
2.3027E+03
8.9006E+06
-1.6845E+03
1.4135E+03
5.9786E+05
1.9226E+02
6.8383E+02
3.7500E+01
-1.5263E+04
0.0000E+00
2.0150E+07
-1.6845E+03
1.1779E+03
7.3597E+05
1.9226E+02
6.6177E+02
6.2501E+00
-1.7724E+04
1.0592E+05
3.7500E+01
-1.6845E+03
9.4234E+02
8.1453E+05
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
22/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
1.9226E+02
6.3972E+02
2.2917E+00
-1.7724E+04
1.0362E+05
4.1000E+01
-1.6845E+03
7.0676E+02
6.8888E+05
1.9226E+02
5.9560E+02
1.2500E+00
-1.7724E+04
1.0132E+05
1.7500E+00
-1.6845E+03
4.7117E+02
8.0996E+05
1.9226E+02
5.7354E+02
3.1250E+00
-1.7724E+04
9.9014E+04
5.2500E+00
-1.6845E+03
2.3559E+02
2.1233E+06
1.9226E+02
5.5148E+02
8.5509E+01
-1.7724E+04
9.6711E+04
1.0417E+01
-1.6845E+03
0.0000E+00
4.2167E+06
1.9226E+02
5.2942E+02
2.0833E+00
-1.7724E+04
9.4409E+04
1.0417E+01
-1.9717E+03
9.1878E+03
3.7500E+01
1.9226E+02
5.0736E+02
2.2713E+00
-1.7724E+04
9.2106E+04
1.7500E+00
-1.9717E+03
8.9523E+03
1.2500E+00
1.9226E+02
4.8530E+02
2.0833E+00
-1.7724E+04
8.5198E+04
5.2085E+00
-1.9717E+03
8.7167E+03
1.2500E+00
1.9226E+02
4.6324E+02
1.6001E+01
-1.7724E+04
8.2896E+04
1.2500E+00
-1.9717E+03
7.5387E+03
1.2500E+01
1.9226E+02
4.4118E+02
3.9680E+02
-1.7724E+04
8.0593E+04
1.2500E+00
-1.9717E+03
7.0676E+03
1.2500E+00
1.9226E+02
4.1912E+02
8.2765E+02
-1.7724E+04
7.8290E+04
1.2500E+00
-1.9717E+03
6.5964E+03
1.7500E+00
1.9226E+02
3.9706E+02
3.9270E+02
-1.7724E+04
7.3685E+04
4.0000E+01
-1.9717E+03
6.3608E+03
1.2500E+00
1.9226E+02
3.7501E+02
3.3756E+02
-1.7724E+04
6.4474E+04
3.7500E+01
-1.9717E+03
6.1252E+03
1.2500E+00
1.9226E+02
3.5295E+02
4.1730E+03
-1.7724E+04
6.2172E+04
2.5000E+00
-1.9717E+03
5.8896E+03
1.2500E+00
1.9226E+02
3.3089E+02
2.5246E+03
-1.7724E+04
5.9869E+04
5.2500E+01
-1.9717E+03
5.6541E+03
1.2500E+01
1.9226E+02
3.0883E+02
2.2263E+03
-1.7724E+04
5.5264E+04
1.2500E+01
-1.9717E+03
5.4185E+03
1.2500E+00
1.9226E+02
2.8677E+02
4.1112E+03
-1.7724E+04
5.0658E+04
9.3985E-02
-1.9717E+03
5.1829E+03
2.5000E+00
1.9226E+02
2.6471E+02
6.1157E+03
-1.7724E+04
4.8356E+04
1.8797E-01
-1.9717E+03
4.7117E+03
2.5000E+00
1.9226E+02
2.4265E+02
1.2027E+04
-1.7724E+04
4.6053E+04
6.2656E-02
-1.9717E+03
4.4761E+03
8.3333E+00
1.9226E+02
2.2059E+02
2.9157E+04
-1.7724E+04
4.3750E+04
9.3985E-02
-1.9717E+03
4.2405E+03
2.2489E+03
1.9226E+02
1.9853E+02
1.9057E+04
-1.7724E+04
4.1448E+04
2.5063E-01
-1.9717E+03
4.0050E+03
1.3706E+03
1.9226E+02
1.7647E+02
6.1666E+04
-1.7724E+04
3.9145E+04
6.2656E-02
-1.9717E+03
3.7694E+03
8.9892E+03
1.9226E+02
1.5441E+02
1.4346E+05
-1.7724E+04
3.6842E+04
1.0636E+01
-1.9717E+03
3.5338E+03
9.3906E+03
1.9226E+02
1.3235E+02
1.8094E+05
-1.7724E+04
3.4540E+04
2.8196E-01
-1.9717E+03
3.2982E+03
5.6901E+03
1.9226E+02
1.1030E+02
5.4688E+05
-1.7724E+04
3.2237E+04
1.6566E+02
-1.9717E+03
3.0626E+03
8.7755E+03
1.9226E+02
8.8237E+01
1.2189E+06
-1.7724E+04
2.9934E+04
3.7594E-01
-1.9717E+03
2.8270E+03
2.5451E+04
1.9226E+02
6.6177E+01
3.6392E+06
-1.7724E+04
2.7632E+04
2.9605E+01
-1.9717E+03
2.5914E+03
5.2499E+04
1.9226E+02
4.4118E+01
5.7137E+06
-1.7724E+04
2.5329E+04
1.6673E+02
-1.9717E+03
2.3559E+03
6.6651E+04
1.9226E+02
2.2059E+01
7.5864E+06
-1.7724E+04
2.3027E+04
3.3037E+02
-1.9717E+03
2.1203E+03
1.1761E+05
1.9226E+02
0.0000E+00
4.7746E+06
-1.7724E+04
2.0724E+04
1.7168E+01
-1.9717E+03
1.8847E+03
1.5031E+05
1.6824E+02
1.0368E+03
1.7500E+00
-1.7724E+04
1.8421E+04
1.5805E+04
-1.9717E+03
1.6491E+03
2.5879E+05
1.6824E+02
9.4854E+02
8.0208E+01
-1.7724E+04
1.6119E+04
7.7360E+03
-1.9717E+03
1.4135E+03
3.4485E+05
1.6824E+02
9.2648E+02
3.5000E+00
-1.7724E+04
1.3816E+04
2.4529E+02
-1.9717E+03
1.1779E+03
2.0182E+05
1.6824E+02
9.0443E+02
5.2500E+00
-1.7724E+04
1.1513E+04
8.4680E+03
-1.9717E+03
9.4234E+02
3.6976E+05
1.6824E+02
8.8237E+02
4.1750E+01
-1.7724E+04
9.2106E+03
2.4350E+03
-1.9717E+03
7.0676E+02
2.1927E+05
1.6824E+02
8.6031E+02
2.5000E+00
-1.7724E+04
6.9080E+03
9.6776E+04
-1.9717E+03
4.7117E+02
3.5658E+05
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
23/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
1.6824E+02
7.9413E+02
1.2500E+00
-1.7724E+04
4.6053E+03
1.4309E+06
-1.9717E+03
2.3559E+02
7.5591E+05
1.6824E+02
7.2795E+02
1.2500E+00
-1.7724E+04
2.3027E+03
9.1594E+06
-1.9717E+03
0.0000E+00
2.2525E+06
1.6824E+02
7.0589E+02
2.5000E+00
-1.7724E+04
0.0000E+00
1.8361E+07
-2.2590E+03
8.0099E+03
1.2500E+00
1.6824E+02
6.8383E+02
1.2500E+00
-2.0186E+04
1.0132E+05
4.4458E+01
-2.2590E+03
6.5964E+03
3.7500E+01
1.6824E+02
5.2942E+02
2.0834E+01
-2.0186E+04
9.9014E+04
1.7500E+00
-2.2590E+03
6.3608E+03
1.2500E+00
1.6824E+02
5.0736E+02
1.0417E+01
-2.0186E+04
9.6711E+04
1.7500E+00
-2.2590E+03
5.8896E+03
3.7500E+00
1.6824E+02
4.8530E+02
1.0448E+01
-2.0186E+04
9.4409E+04
1.7500E+00
-2.2590E+03
5.6541E+03
2.5000E+00
1.6824E+02
4.6324E+02
1.2500E+01
-2.0186E+04
9.2106E+04
3.5000E+00
-2.2590E+03
5.4185E+03
1.6750E+01
1.6824E+02
4.4118E+02
3.4931E+00
-2.0186E+04
7.3685E+04
1.2500E+00
-2.2590E+03
5.1829E+03
1.1247E+02
1.6824E+02
4.1912E+02
8.5252E+01
-2.0186E+04
6.9080E+04
2.5000E+00
-2.2590E+03
4.2405E+03
2.0833E+00
1.6824E+02
3.9706E+02
1.6673E+02
-2.0186E+04
6.2172E+04
1.2531E-01
-2.2590E+03
4.0050E+03
2.5000E+00
1.6824E+02
3.7501E+02
1.0049E+02
-2.0186E+04
5.9869E+04
1.2813E+00
-2.2590E+03
3.7694E+03
5.4591E+02
1.6824E+02
3.5295E+02
1.8574E+02
-2.0186E+04
5.7566E+04
1.2500E+00
-2.2590E+03
3.5338E+03
1.0480E+03
1.6824E+02
3.3089E+02
6.5416E+02
-2.0186E+04
5.0658E+04
1.6437E+02
-2.2590E+03
3.2982E+03
1.0364E+03
1.6824E+02
3.0883E+02
1.5959E+03
-2.0186E+04
4.8356E+04
6.2656E-02
-2.2590E+03
3.0626E+03
3.4161E+03
1.6824E+02
2.8677E+02
1.8958E+03
-2.0186E+04
4.3750E+04
1.1043E+00
-2.2590E+03
2.8270E+03
2.8458E+03
1.6824E+02
2.6471E+02
5.8556E+03
-2.0186E+04
4.1448E+04
2.0834E+01
-2.2590E+03
2.5914E+03
2.3060E+04
1.6824E+02
2.4265E+02
2.2926E+03
-2.0186E+04
3.9145E+04
1.8797E-01
-2.2590E+03
2.3559E+03
2.5063E+04
1.6824E+02
2.2059E+02
1.2574E+04
-2.0186E+04
3.6842E+04
1.8797E-01
-2.2590E+03
2.1203E+03
1.0287E+04
1.6824E+02
1.9853E+02
1.8728E+04
-2.0186E+04
3.4540E+04
2.1022E+01
-2.2590E+03
1.8847E+03
6.8357E+04
1.6824E+02
1.7647E+02
8.0043E+03
-2.0186E+04
2.9934E+04
6.3126E+00
-2.2590E+03
1.6491E+03
8.7964E+04
1.6824E+02
1.5441E+02
8.9196E+03
-2.0186E+04
2.7632E+04
2.1460E+00
-2.2590E+03
1.4135E+03
1.3047E+05
1.6824E+02
1.3235E+02
4.4682E+04
-2.0186E+04
2.5329E+04
1.6573E+02
-2.2590E+03
1.1779E+03
7.7201E+04
1.6824E+02
1.1030E+02
3.0732E+05
-2.0186E+04
2.3027E+04
2.2713E+00
-2.2590E+03
9.4234E+02
1.3202E+05
1.6824E+02
8.8237E+01
9.7140E+05
-2.0186E+04
2.0724E+04
1.8006E+02
-2.2590E+03
7.0676E+02
9.1376E+04
1.6824E+02
6.6177E+01
4.3643E+06
-2.0186E+04
1.8421E+04
8.9771E+03
-2.2590E+03
4.7117E+02
1.6247E+05
1.6824E+02
4.4118E+01
8.5610E+06
-2.0186E+04
1.6119E+04
3.3778E+02
-2.2590E+03
2.3559E+02
3.3348E+05
1.6824E+02
2.2059E+01
1.1902E+07
-2.0186E+04
1.3816E+04
4.5483E+02
-2.2590E+03
0.0000E+00
9.1561E+05
1.6824E+02
0.0000E+00
6.5795E+06
-2.0186E+04
1.1513E+04
2.2830E+03
-2.5463E+03
9.6590E+03
1.2500E+00
1.4422E+02
9.7060E+02
6.9585E+00
-2.0186E+04
9.2106E+03
3.0185E+04
-2.5463E+03
7.5387E+03
1.2500E+00
1.4422E+02
9.4854E+02
1.7500E+00
-2.0186E+04
6.9080E+03
6.4403E+04
-2.5463E+03
7.0676E+03
2.5000E+00
1.4422E+02
9.2648E+02
8.7085E+00
-2.0186E+04
4.6053E+03
1.0773E+06
-2.5463E+03
6.5964E+03
1.2500E+00
1.4422E+02
9.0443E+02
5.2500E+00
-2.0186E+04
2.3027E+03
8.9841E+06
-2.5463E+03
5.8896E+03
3.3333E+01
1.4422E+02
8.8237E+02
6.9585E+00
-2.0186E+04
0.0000E+00
1.4128E+07
-2.5463E+03
5.6541E+03
3.3333E+01
1.4422E+02
8.6031E+02
2.5000E+00
-2.2648E+04
8.9803E+04
5.2085E+00
-2.5463E+03
5.4185E+03
1.7500E+00
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
24/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
1.4422E+02
8.3825E+02
7.7085E+00
-2.2648E+04
8.7501E+04
3.3333E+01
-2.5463E+03
5.1829E+03
4.2500E+00
1.4422E+02
8.1619E+02
2.5000E+00
-2.2648E+04
6.9080E+04
5.2085E+00
-2.5463E+03
4.4761E+03
2.5000E+00
1.4422E+02
7.9413E+02
4.0000E+01
-2.2648E+04
6.2172E+04
1.2500E+00
-2.5463E+03
4.2405E+03
1.1122E+02
1.4422E+02
7.7207E+02
5.2085E+00
-2.2648E+04
5.9869E+04
8.1665E+01
-2.5463E+03
4.0050E+03
2.5000E+00
1.4422E+02
7.5001E+02
3.9250E+01
-2.2648E+04
5.5264E+04
1.2500E+01
-2.5463E+03
3.7694E+03
2.5000E+00
1.4422E+02
6.8383E+02
1.2500E+00
-2.2648E+04
5.2961E+04
1.0875E+02
-2.5463E+03
3.2982E+03
1.1122E+02
1.4422E+02
6.6177E+02
2.5000E+00
-2.2648E+04
5.0658E+04
8.1665E+01
-2.5463E+03
3.0626E+03
4.6177E+02
1.4422E+02
6.3972E+02
1.7500E+00
-2.2648E+04
4.8356E+04
1.1500E+02
-2.5463E+03
2.8270E+03
5.0299E+02
1.4422E+02
6.1766E+02
1.2500E+00
-2.2648E+04
4.6053E+04
1.7083E+02
-2.5463E+03
2.5914E+03
5.6258E+02
1.4422E+02
5.7354E+02
1.2500E+00
-2.2648E+04
4.1448E+04
1.8797E-01
-2.5463E+03
2.3559E+03
4.9841E+02
1.4422E+02
5.5148E+02
1.2500E+00
-2.2648E+04
3.9145E+04
1.0605E+01
-2.5463E+03
2.1203E+03
1.4644E+04
1.4422E+02
5.2942E+02
1.2500E+00
-2.2648E+04
3.6842E+04
4.1666E+00
-2.5463E+03
1.8847E+03
1.6835E+04
1.4422E+02
5.0736E+02
4.6648E+00
-2.2648E+04
3.4540E+04
1.7896E+02
-2.5463E+03
1.6491E+03
1.7735E+03
1.4422E+02
4.6324E+02
1.2500E+00
-2.2648E+04
2.9934E+04
1.6541E+02
-2.5463E+03
1.4135E+03
4.7867E+04
1.4422E+02
4.4118E+02
5.8943E+01
-2.2648E+04
2.7632E+04
4.1666E+00
-2.5463E+03
1.1779E+03
1.0700E+04
1.4422E+02
4.1912E+02
1.2917E+01
-2.2648E+04
2.5329E+04
4.1666E+00
-2.5463E+03
9.4234E+02
6.7470E+04
1.4422E+02
3.9706E+02
2.1574E+02
-2.2648E+04
2.3027E+04
1.7121E+02
-2.5463E+03
7.0676E+02
2.2148E+04
1.4422E+02
3.7501E+02
3.2515E+02
-2.2648E+04
2.0724E+04
6.7681E+02
-2.5463E+03
4.7117E+02
5.2373E+04
1.4422E+02
3.5295E+02
9.4353E+01
-2.2648E+04
1.8421E+04
9.9011E+02
-2.5463E+03
2.3559E+02
1.7385E+05
1.4422E+02
3.3089E+02
1.1042E+03
-2.2648E+04
1.6119E+04
5.0828E+02
-2.5463E+03
0.0000E+00
2.6524E+05
1.4422E+02
3.0883E+02
2.8897E+02
-2.2648E+04
1.3816E+04
1.8545E+04
-2.8335E+03
1.0837E+04
1.2500E+00
1.4422E+02
2.8677E+02
7.2677E+02
-2.2648E+04
1.1513E+04
1.3839E+04
-2.8335E+03
7.5387E+03
3.7500E+01
1.4422E+02
2.6471E+02
1.3520E+03
-2.2648E+04
9.2106E+03
4.9862E+04
-2.8335E+03
7.3032E+03
2.5000E+00
1.4422E+02
2.4265E+02
9.8282E+03
-2.2648E+04
6.9080E+03
1.2687E+05
-2.8335E+03
7.0676E+03
1.2500E+00
1.4422E+02
2.2059E+02
1.6882E+03
-2.2648E+04
4.6053E+03
1.0125E+06
-2.8335E+03
6.1252E+03
2.5000E+00
1.4422E+02
1.9853E+02
8.9863E+03
-2.2648E+04
2.3027E+03
6.7375E+06
-2.8335E+03
4.4761E+03
2.5000E+00
1.4422E+02
1.7647E+02
2.0143E+04
-2.2648E+04
0.0000E+00
9.9034E+06
-2.8335E+03
4.2405E+03
2.5000E+00
1.4422E+02
1.5441E+02
2.1972E+04
-2.5110E+04
9.2106E+04
5.2085E+00
-2.8335E+03
4.0050E+03
2.5000E+00
1.4422E+02
1.3235E+02
1.4063E+04
-2.5110E+04
8.9803E+04
6.9585E+00
-2.8335E+03
3.7694E+03
1.1122E+02
1.4422E+02
1.1030E+02
1.9199E+05
-2.5110E+04
8.2896E+04
3.3333E+01
-2.8335E+03
3.5338E+03
2.5000E+00
1.4422E+02
8.8237E+01
9.7706E+05
-2.5110E+04
8.0593E+04
3.3333E+01
-2.8335E+03
3.2982E+03
2.5000E+00
1.4422E+02
6.6177E+01
3.8940E+06
-2.5110E+04
6.4474E+04
3.3333E+01
-2.8335E+03
2.8270E+03
2.5000E+01
1.4422E+02
4.4118E+01
1.0010E+07
-2.5110E+04
5.9869E+04
1.2500E+00
-2.8335E+03
2.5914E+03
1.4583E+01
1.4422E+02
2.2059E+01
1.5991E+07
-2.5110E+04
5.7566E+04
1.0417E+00
-2.8335E+03
2.3559E+03
2.0833E+00
1.4422E+02
0.0000E+00
9.4047E+06
-2.5110E+04
5.5264E+04
1.2500E+01
-2.8335E+03
2.1203E+03
4.8969E+02
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
25/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
1.2020E+02
1.0368E+03
3.5000E+00
-2.5110E+04
5.2961E+04
9.3985E-02
-2.8335E+03
1.8847E+03
6.7406E+03
1.2020E+02
9.9266E+02
1.7500E+00
-2.5110E+04
4.6053E+04
1.0417E+00
-2.8335E+03
1.6491E+03
4.9915E+03
1.2020E+02
9.7060E+02
1.7500E+00
-2.5110E+04
4.3750E+04
2.0833E+00
-2.8335E+03
1.4135E+03
1.3091E+04
1.2020E+02
9.4854E+02
1.9125E+01
-2.5110E+04
3.9145E+04
2.0833E+00
-2.8335E+03
1.1779E+03
6.7598E+03
1.2020E+02
9.2648E+02
7.9750E+01
-2.5110E+04
3.4540E+04
8.7987E+03
-2.8335E+03
9.4234E+02
2.3844E+02
1.2020E+02
9.0443E+02
1.7500E+00
-2.5110E+04
3.2237E+04
1.8797E-01
-2.8335E+03
7.0676E+02
3.6305E+03
1.2020E+02
8.8237E+02
1.5958E+01
-2.5110E+04
2.9934E+04
8.9645E+03
-2.8335E+03
4.7117E+02
1.0144E+04
1.2020E+02
8.6031E+02
4.2500E+00
-2.5110E+04
2.7632E+04
8.8007E+03
-2.8335E+03
2.3559E+02
7.7349E+04
1.2020E+02
8.3825E+02
1.2500E+00
-2.5110E+04
2.5329E+04
9.1212E+03
-2.8335E+03
0.0000E+00
1.1823E+05
1.2020E+02
7.7207E+02
6.7500E+00
-2.5110E+04
2.3027E+04
2.6448E+04
-3.1208E+03
8.0099E+03
1.2500E+00
1.2020E+02
6.3972E+02
1.2500E+00
-2.5110E+04
2.0724E+04
8.0145E+04
-3.1208E+03
3.5338E+03
2.5000E+00
1.2020E+02
5.0736E+02
5.1648E+00
-2.5110E+04
1.8421E+04
1.7761E+04
-3.1208E+03
3.2982E+03
2.5000E+00
1.2020E+02
4.8530E+02
1.2500E+00
-2.5110E+04
1.6119E+04
9.4254E+03
-3.1208E+03
3.0626E+03
5.0000E+00
1.2020E+02
4.6324E+02
3.7500E+01
-2.5110E+04
1.3816E+04
2.2492E+04
-3.1208E+03
2.8270E+03
7.5000E+00
1.2020E+02
4.4118E+02
5.4981E+00
-2.5110E+04
1.1513E+04
5.7674E+04
-3.1208E+03
2.5914E+03
3.5000E+00
1.2020E+02
4.1912E+02
8.1250E+01
-2.5110E+04
9.2106E+03
9.2168E+04
-3.1208E+03
2.3559E+03
7.1667E+01
1.2020E+02
3.9706E+02
7.1739E+01
-2.5110E+04
6.9080E+03
3.3212E+05
-3.1208E+03
2.1203E+03
6.2500E+00
1.2020E+02
3.7501E+02
1.7472E+01
-2.5110E+04
4.6053E+03
1.5419E+06
-3.1208E+03
1.8847E+03
9.8884E+02
1.2020E+02
3.5295E+02
1.0532E+02
-2.5110E+04
2.3027E+03
8.4414E+06
-3.1208E+03
1.6491E+03
2.5000E+00
1.2020E+02
3.3089E+02
1.6881E+02
-2.5110E+04
0.0000E+00
9.6320E+06
-3.1208E+03
1.4135E+03
2.7500E+01
1.2020E+02
3.0883E+02
1.3614E+02
-2.7571E+04
8.0593E+04
5.2085E+00
-3.1208E+03
1.1779E+03
6.0665E+02
1.2020E+02
2.8677E+02
2.8199E+02
-2.7571E+04
7.8290E+04
5.2085E+00
-3.1208E+03
9.4234E+02
3.5000E+00
1.2020E+02
2.6471E+02
6.3714E+02
-2.7571E+04
7.5988E+04
3.8542E+01
-3.1208E+03
7.0676E+02
2.1580E+02
1.2020E+02
2.4265E+02
5.6663E+02
-2.7571E+04
5.7566E+04
2.0833E+00
-3.1208E+03
4.7117E+02
3.7308E+03
1.2020E+02
2.2059E+02
8.8270E+03
-2.7571E+04
5.0658E+04
1.1226E+02
-3.1208E+03
2.3559E+02
1.2020E+04
1.2020E+02
1.9853E+02
2.8376E+04
-2.7571E+04
4.8356E+04
1.0417E+00
-3.1208E+03
0.0000E+00
5.5458E+04
1.2020E+02
1.7647E+02
6.4486E+04
-2.7571E+04
4.6053E+04
4.9297E+02
-3.4080E+03
3.2982E+03
5.0000E+00
1.2020E+02
1.5441E+02
4.3932E+04
-2.7571E+04
4.3750E+04
3.1250E+00
-3.4080E+03
3.0626E+03
5.5610E+01
1.2020E+02
1.3235E+02
6.2245E+04
-2.7571E+04
4.1448E+04
5.6840E+01
-3.4080E+03
2.8270E+03
8.2500E+01
1.2020E+02
1.1030E+02
1.2421E+05
-2.7571E+04
3.9145E+04
8.7955E+03
-3.4080E+03
2.5914E+03
1.4167E+02
1.2020E+02
8.8237E+01
7.4644E+05
-2.7571E+04
3.6842E+04
2.8117E+02
-3.4080E+03
2.3559E+03
6.6667E+01
1.2020E+02
6.6177E+01
3.3079E+06
-2.7571E+04
3.4540E+04
1.8300E+04
-3.4080E+03
2.1203E+03
2.7500E+01
1.2020E+02
4.4118E+01
9.8956E+06
-2.7571E+04
3.2237E+04
1.7705E+04
-3.4080E+03
1.8847E+03
2.5000E+00
1.2020E+02
2.2059E+01
1.8768E+07
-2.7571E+04
2.9934E+04
9.0740E+03
-3.4080E+03
1.6491E+03
2.5000E+00
1.2020E+02
0.0000E+00
1.2283E+07
-2.7571E+04
2.7632E+04
1.0522E+03
-3.4080E+03
1.4135E+03
5.0000E+00
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
26/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
9.6185E+01
1.1030E+03
1.7500E+00
-2.7571E+04
2.5329E+04
4.2708E+02
-3.4080E+03
1.1779E+03
2.0833E+00
9.6185E+01
1.0368E+03
6.9585E+00
-2.7571E+04
2.3027E+04
2.7580E+04
-3.4080E+03
9.4234E+02
4.5833E+00
9.6185E+01
1.0147E+03
3.5000E+00
-2.7571E+04
2.0724E+04
1.9895E+04
-3.4080E+03
7.0676E+02
2.5000E+00
9.6185E+01
9.7060E+02
1.7500E+00
-2.7571E+04
1.8421E+04
3.3229E+03
-3.4080E+03
4.7117E+02
4.9549E+02
9.6185E+01
9.2648E+02
1.7500E+00
-2.7571E+04
1.6119E+04
2.9693E+04
-3.4080E+03
2.3559E+02
6.3110E+01
9.6185E+01
9.0443E+02
1.7500E+00
-2.7571E+04
1.3816E+04
1.0681E+04
-3.4080E+03
0.0000E+00
3.5623E+04
9.6185E+01
8.8237E+02
4.7500E+00
-2.7571E+04
1.1513E+04
3.2617E+04
-3.6953E+03
1.1779E+04
1.2500E+00
9.6185E+01
8.6031E+02
3.5000E+00
-2.7571E+04
9.2106E+03
1.5549E+05
-3.6953E+03
9.1878E+03
1.2500E+00
9.6185E+01
8.1619E+02
1.7500E+00
-2.7571E+04
6.9080E+03
5.1688E+05
-3.6953E+03
4.7117E+03
5.0000E+00
9.6185E+01
7.7207E+02
3.5000E+00
-2.7571E+04
4.6053E+03
2.5397E+06
-3.6953E+03
2.8270E+03
2.5000E+00
9.6185E+01
7.2795E+02
1.7500E+00
-2.7571E+04
2.3027E+03
9.4271E+06
-3.6953E+03
2.3559E+03
2.5000E+00
9.6185E+01
7.0589E+02
1.2500E+00
-2.7571E+04
0.0000E+00
1.0389E+07
-3.6953E+03
2.1203E+03
2.5000E+00
9.6185E+01
6.3972E+02
2.5000E+00
-3.0033E+04
5.9869E+04
1.0417E+00
-3.6953E+03
1.8847E+03
2.5000E+00
9.6185E+01
5.5148E+02
2.5000E+00
-3.0033E+04
5.2961E+04
2.0833E+00
-3.6953E+03
1.6491E+03
2.5000E+00
9.6185E+01
5.2942E+02
2.5000E+00
-3.0033E+04
5.0658E+04
1.9214E+02
-3.6953E+03
1.4135E+03
2.5000E+00
9.6185E+01
5.0736E+02
1.2500E+00
-3.0033E+04
4.8356E+04
2.8013E+02
-3.6953E+03
1.1779E+03
3.5000E+00
9.6185E+01
4.6324E+02
4.5915E+01
-3.0033E+04
4.6053E+04
7.7583E+02
-3.6953E+03
7.0676E+02
1.0000E+02
9.6185E+01
4.4118E+02
7.7500E+01
-3.0033E+04
4.3750E+04
2.1461E+03
-3.6953E+03
4.7117E+02
1.1472E+02
9.6185E+01
4.1912E+02
1.2500E+00
-3.0033E+04
4.1448E+04
9.7890E+03
-3.6953E+03
2.3559E+02
3.8469E+02
9.6185E+01
3.9706E+02
5.3659E+01
-3.0033E+04
3.9145E+04
2.7534E+03
-3.6953E+03
0.0000E+00
1.4919E+03
9.6185E+01
3.7501E+02
1.1250E+01
-3.0033E+04
3.6842E+04
2.4385E+03
-3.9825E+03
1.1308E+04
1.2500E+00
9.6185E+01
3.5295E+02
2.3933E+02
-3.0033E+04
3.4540E+04
2.1721E+04
-3.9825E+03
3.5338E+03
2.5000E+00
9.6185E+01
3.3089E+02
5.6667E+01
-3.0033E+04
3.2237E+04
2.3468E+04
-3.9825E+03
3.2982E+03
2.5000E+00
9.6185E+01
3.0883E+02
1.9708E+02
-3.0033E+04
2.9934E+04
2.0662E+04
-3.9825E+03
2.5914E+03
2.5000E+00
9.6185E+01
2.8677E+02
1.7085E+02
-3.0033E+04
2.7632E+04
2.1823E+04
-3.9825E+03
1.8847E+03
5.0000E+00
9.6185E+01
2.6471E+02
1.7083E+02
-3.0033E+04
2.5329E+04
3.8985E+04
-3.9825E+03
1.6491E+03
2.5000E+00
9.6185E+01
2.4265E+02
1.6313E+03
-3.0033E+04
2.3027E+04
1.7973E+04
-3.9825E+03
4.7117E+02
2.5000E+00
9.6185E+01
2.2059E+02
4.9901E+03
-3.0033E+04
2.0724E+04
2.3957E+04
-3.9825E+03
2.3559E+02
2.0833E+00
9.6185E+01
1.9853E+02
1.8785E+04
-3.0033E+04
1.8421E+04
3.3884E+04
-3.9825E+03
0.0000E+00
4.5021E+03
9.6185E+01
1.7647E+02
1.0078E+04
-3.0033E+04
1.6119E+04
3.2789E+04
-4.2698E+03
2.3559E+03
2.5000E+00
9.6185E+01
1.5441E+02
2.5317E+04
-3.0033E+04
1.3816E+04
9.7539E+04
-4.2698E+03
4.7117E+02
2.5000E+00
9.6185E+01
1.3235E+02
4.9515E+04
-3.0033E+04
1.1513E+04
1.3104E+05
-4.2698E+03
2.3559E+02
7.5000E+00
9.6185E+01
1.1030E+02
1.0245E+05
-3.0033E+04
9.2106E+03
3.5580E+05
-4.2698E+03
0.0000E+00
3.8969E+02
9.6185E+01
8.8237E+01
3.3627E+05
-3.0033E+04
6.9080E+03
1.0391E+06
-4.5571E+03
3.2982E+03
2.5000E+00
9.6185E+01
6.6177E+01
3.3684E+06
-3.0033E+04
4.6053E+03
3.6659E+06
-4.5571E+03
9.4234E+02
2.5000E+00
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
27/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Tower torsion, bottom M z [kNm]
Level
Range
Cycles
Level
Range
Cycles
Level
9.6185E+01
4.4118E+01
1.0673E+07
-3.0033E+04
2.3027E+03
1.1272E+07
-4.5571E+03
2.3559E+02
2.5000E+00
9.6185E+01
2.2059E+01
2.3343E+07
-3.0033E+04
0.0000E+00
9.4081E+06
-4.8443E+03
0.0000E+00
5.0000E+00
9.6185E+01
0.0000E+00
1.5992E+07
-3.2495E+04
7.5988E+04
3.3333E+01
-5.1316E+03
6.1252E+03
2.5000E+00
7.2166E+01
1.1030E+03
1.7500E+00
-3.2495E+04
7.3685E+04
8.5415E+01
-5.1316E+03
2.3559E+03
7.5000E+01
7.2166E+01
1.0809E+03
1.2167E+01
-3.2495E+04
6.9080E+04
2.5624E+02
-5.4188E+03
2.3559E+02
2.5000E+00
7.2166E+01
1.0368E+03
3.5000E+00
-3.2495E+04
6.6777E+04
8.5415E+01
-6.5678E+03
4.7117E+02
2.5000E+00
7.2166E+01
1.0147E+03
1.7500E+00
-3.2495E+04
5.5264E+04
6.8303E+02
7.2166E+01
9.9266E+02
6.9585E+00
-3.2495E+04
5.2961E+04
1.0417E+00
7.2166E+01
9.4854E+02
3.0000E+00
-3.2495E+04
5.0658E+04
2.4671E+02
7.2166E+01
9.2648E+02
3.5000E+00
-3.2495E+04
4.8356E+04
8.5133E+02
7.2166E+01
9.0443E+02
8.2500E+00
-3.2495E+04
4.6053E+04
3.3574E+02
7.2166E+01
8.8237E+02
3.5000E+00
-3.2495E+04
4.3750E+04
1.5900E+03
7.2166E+01
8.3825E+02
1.2500E+00
-3.2495E+04
4.1448E+04
1.1656E+04
7.2166E+01
7.5001E+02
1.7500E+00
-3.2495E+04
3.9145E+04
3.9159E+03
7.2166E+01
6.6177E+02
1.2500E+00
-3.2495E+04
3.6842E+04
1.6556E+04
7.2166E+01
6.1766E+02
1.2500E+00
-3.2495E+04
3.4540E+04
1.1124E+04
7.2166E+01
5.7354E+02
1.2500E+00
-3.2495E+04
3.2237E+04
2.4581E+04
7.2166E+01
5.5148E+02
2.5000E+00
-3.2495E+04
2.9934E+04
2.7409E+04
7.2166E+01
5.2942E+02
4.0000E+01
-3.2495E+04
2.7632E+04
4.5856E+04
7.2166E+01
5.0736E+02
2.5000E+00
-3.2495E+04
2.5329E+04
5.9161E+04
7.2166E+01
4.8530E+02
3.7500E+00
-3.2495E+04
2.3027E+04
6.0060E+04
7.2166E+01
4.6324E+02
1.2500E+00
-3.2495E+04
2.0724E+04
6.5731E+04
7.2166E+01
4.1912E+02
1.2500E+00
-3.2495E+04
1.8421E+04
9.3223E+04
7.2166E+01
3.9706E+02
4.5000E+01
-3.2495E+04
1.6119E+04
1.1412E+05
7.2166E+01
3.7501E+02
5.5000E+01
-3.2495E+04
1.3816E+04
1.6227E+05
7.2166E+01
3.5295E+02
7.5000E+00
-3.2495E+04
1.1513E+04
1.8972E+05
7.2166E+01
3.3089E+02
2.2641E+02
-3.2495E+04
9.2106E+03
4.4769E+05
7.2166E+01
3.0883E+02
1.8625E+02
-3.2495E+04
6.9080E+03
1.8667E+06
7.2166E+01
2.8677E+02
4.1750E+02
-3.2495E+04
4.6053E+03
5.4186E+06
7.2166E+01
2.6471E+02
3.5099E+02
-3.2495E+04
2.3027E+03
1.3710E+07
7.2166E+01
2.4265E+02
3.4416E+02
-3.2495E+04
0.0000E+00
1.1412E+07
7.2166E+01
2.2059E+02
1.5513E+03
-3.4957E+04
7.5988E+04
8.5415E+01
7.2166E+01
1.9853E+02
1.8734E+03
-3.4957E+04
6.6777E+04
5.2085E+00
7.2166E+01
1.7647E+02
6.0318E+03
-3.4957E+04
6.4474E+04
5.2085E+00
7.2166E+01
1.5441E+02
1.0882E+04
-3.4957E+04
5.5264E+04
5.5610E+01
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
28/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Level
Range
Cycles
Level
Range
Cycles
7.2166E+01
1.3235E+02
1.8676E+04
-3.4957E+04
5.2961E+04
4.3780E+02
7.2166E+01
1.1030E+02
4.1301E+04
-3.4957E+04
5.0658E+04
4.9193E+02
7.2166E+01
8.8237E+01
1.4158E+05
-3.4957E+04
4.8356E+04
1.0951E+03
7.2166E+01
6.6177E+01
1.7513E+06
-3.4957E+04
4.6053E+04
9.8638E+02
7.2166E+01
4.4118E+01
6.4243E+06
-3.4957E+04
4.3750E+04
5.2739E+03
7.2166E+01
2.2059E+01
1.5169E+07
-3.4957E+04
4.1448E+04
3.0410E+03
7.2166E+01
0.0000E+00
1.1497E+07
-3.4957E+04
3.9145E+04
7.4112E+03
4.8146E+01
1.0368E+03
1.7500E+00
-3.4957E+04
3.6842E+04
5.8766E+03
4.8146E+01
1.0147E+03
1.7500E+00
-3.4957E+04
3.4540E+04
1.8673E+04
4.8146E+01
9.7060E+02
1.7500E+00
-3.4957E+04
3.2237E+04
2.9019E+04
4.8146E+01
9.4854E+02
1.7500E+00
-3.4957E+04
2.9934E+04
3.3135E+04
4.8146E+01
8.1619E+02
1.2500E+00
-3.4957E+04
2.7632E+04
5.6163E+04
4.8146E+01
6.8383E+02
1.2500E+00
-3.4957E+04
2.5329E+04
8.8476E+04
4.8146E+01
6.3972E+02
1.2500E+00
-3.4957E+04
2.3027E+04
1.2407E+05
4.8146E+01
6.1766E+02
3.7500E+00
-3.4957E+04
2.0724E+04
1.3878E+05
4.8146E+01
5.9560E+02
1.2500E+00
-3.4957E+04
1.8421E+04
1.5565E+05
4.8146E+01
5.7354E+02
3.7500E+00
-3.4957E+04
1.6119E+04
2.2294E+05
4.8146E+01
5.5148E+02
2.5000E+00
-3.4957E+04
1.3816E+04
2.0333E+05
4.8146E+01
5.2942E+02
2.5000E+00
-3.4957E+04
1.1513E+04
4.2627E+05
4.8146E+01
4.8530E+02
1.2500E+00
-3.4957E+04
9.2106E+03
7.5967E+05
4.8146E+01
4.6324E+02
5.0000E+00
-3.4957E+04
6.9080E+03
2.2342E+06
4.8146E+01
4.4118E+02
5.0000E+00
-3.4957E+04
4.6053E+03
5.7560E+06
4.8146E+01
4.1912E+02
3.7500E+01
-3.4957E+04
2.3027E+03
1.1987E+07
4.8146E+01
3.9706E+02
1.1092E+02
-3.4957E+04
0.0000E+00
1.0474E+07
4.8146E+01
3.7501E+02
8.3750E+01
-3.7419E+04
5.0658E+04
1.9110E+02
4.8146E+01
3.5295E+02
1.8125E+02
-3.7419E+04
4.8356E+04
2.6511E+03
4.8146E+01
3.3089E+02
5.6250E+01
-3.7419E+04
4.6053E+04
2.4671E+02
4.8146E+01
3.0883E+02
1.2500E+01
-3.7419E+04
4.3750E+04
6.1457E+03
4.8146E+01
2.8677E+02
3.5000E+01
-3.7419E+04
4.1448E+04
5.3281E+03
4.8146E+01
2.6471E+02
8.7500E+00
-3.7419E+04
3.9145E+04
1.0628E+04
4.8146E+01
2.4265E+02
8.3333E+00
-3.7419E+04
3.6842E+04
1.4421E+04
4.8146E+01
2.2059E+02
2.4583E+01
-3.7419E+04
3.4540E+04
2.4096E+04
4.8146E+01
1.9853E+02
1.8283E+02
-3.7419E+04
3.2237E+04
1.2416E+04
4.8146E+01
1.7647E+02
3.7274E+03
-3.7419E+04
2.9934E+04
2.8610E+04
4.8146E+01
1.5441E+02
1.7052E+03
-3.7419E+04
2.7632E+04
5.8182E+04
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Tower torsion, bottom M z [kNm] Level
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
29/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Level
Range
Cycles
Level
Range
Cycles
4.8146E+01
1.3235E+02
1.3411E+04
-3.7419E+04
2.5329E+04
7.7915E+04
4.8146E+01
1.1030E+02
1.9700E+04
-3.7419E+04
2.3027E+04
1.0183E+05
4.8146E+01
8.8237E+01
4.2373E+04
-3.7419E+04
2.0724E+04
1.4674E+05
4.8146E+01
6.6177E+01
5.7994E+05
-3.7419E+04
1.8421E+04
1.7733E+05
4.8146E+01
4.4118E+01
2.9748E+06
-3.7419E+04
1.6119E+04
2.5713E+05
4.8146E+01
2.2059E+01
8.7711E+06
-3.7419E+04
1.3816E+04
3.1030E+05
4.8146E+01
0.0000E+00
8.7809E+06
-3.7419E+04
1.1513E+04
4.3905E+05
2.4126E+01
1.0147E+03
1.7500E+00
-3.7419E+04
9.2106E+03
8.6925E+05
2.4126E+01
9.9266E+02
1.7500E+00
-3.7419E+04
6.9080E+03
2.6427E+06
2.4126E+01
6.3972E+02
1.2500E+00
-3.7419E+04
4.6053E+03
6.7463E+06
2.4126E+01
6.1766E+02
1.2500E+00
-3.7419E+04
2.3027E+03
1.5446E+07
2.4126E+01
5.7354E+02
1.2500E+00
-3.7419E+04
0.0000E+00
1.1458E+07
2.4126E+01
5.5148E+02
2.5000E+00
-3.9880E+04
4.6053E+04
2.2394E+03
2.4126E+01
5.0736E+02
3.0000E+00
-3.9880E+04
4.1448E+04
5.6052E+03
2.4126E+01
4.8530E+02
1.2500E+00
-3.9880E+04
3.9145E+04
1.9166E+04
2.4126E+01
4.1912E+02
8.2500E+00
-3.9880E+04
3.6842E+04
8.8351E+03
2.4126E+01
3.9706E+02
3.6333E+01
-3.9880E+04
3.4540E+04
7.8445E+03
2.4126E+01
3.7501E+02
1.8750E+02
-3.9880E+04
3.2237E+04
7.2234E+03
2.4126E+01
3.5295E+02
2.6375E+02
-3.9880E+04
2.9934E+04
3.6727E+04
2.4126E+01
3.3089E+02
2.3100E+02
-3.9880E+04
2.7632E+04
4.6081E+04
2.4126E+01
3.0883E+02
4.6000E+01
-3.9880E+04
2.5329E+04
9.5400E+04
2.4126E+01
2.8677E+02
6.0350E+02
-3.9880E+04
2.3027E+04
9.8917E+04
2.4126E+01
2.6471E+02
6.4350E+02
-3.9880E+04
2.0724E+04
1.7197E+05
2.4126E+01
2.4265E+02
7.2025E+02
-3.9880E+04
1.8421E+04
1.9541E+05
2.4126E+01
2.2059E+02
7.1675E+02
-3.9880E+04
1.6119E+04
2.4575E+05
2.4126E+01
1.9853E+02
2.5153E+03
-3.9880E+04
1.3816E+04
2.2741E+05
2.4126E+01
1.7647E+02
5.1716E+03
-3.9880E+04
1.1513E+04
4.2909E+05
2.4126E+01
1.5441E+02
2.5209E+03
-3.9880E+04
9.2106E+03
1.0077E+06
2.4126E+01
1.3235E+02
6.5981E+03
-3.9880E+04
6.9080E+03
3.1868E+06
2.4126E+01
1.1030E+02
6.0959E+03
-3.9880E+04
4.6053E+03
7.1628E+06
2.4126E+01
8.8237E+01
1.4321E+04
-3.9880E+04
2.3027E+03
1.4513E+07
2.4126E+01
6.6177E+01
1.5770E+05
-3.9880E+04
0.0000E+00
1.1219E+07
2.4126E+01
4.4118E+01
1.0829E+06
-4.2342E+04
4.8356E+04
2.2461E+03
2.4126E+01
2.2059E+01
3.3789E+06
-4.2342E+04
4.6053E+04
1.5924E+04
2.4126E+01
0.0000E+00
5.7382E+06
-4.2342E+04
4.3750E+04
2.2461E+03
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Tower torsion, bottom M z [kNm] Level
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
30/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Level
Range
Cycles
Level
Range
Cycles
1.0647E-01
7.9413E+02
1.2500E+00
-4.2342E+04
4.1448E+04
2.7313E+03
1.0647E-01
6.8383E+02
1.2500E+00
-4.2342E+04
3.9145E+04
7.8579E+03
1.0647E-01
6.3972E+02
1.2500E+00
-4.2342E+04
3.6842E+04
1.6116E+03
1.0647E-01
5.9560E+02
1.2500E+00
-4.2342E+04
3.4540E+04
2.2461E+04
1.0647E-01
5.5148E+02
3.7500E+00
-4.2342E+04
3.2237E+04
3.5937E+04
1.0647E-01
5.0736E+02
1.2500E+00
-4.2342E+04
2.9934E+04
2.5984E+04
1.0647E-01
4.8530E+02
3.3333E+01
-4.2342E+04
2.7632E+04
4.3761E+04
1.0647E-01
4.6324E+02
3.8750E+01
-4.2342E+04
2.5329E+04
6.1163E+04
1.0647E-01
4.4118E+02
1.7500E+00
-4.2342E+04
2.3027E+04
8.4530E+04
1.0647E-01
4.1912E+02
1.2500E+00
-4.2342E+04
2.0724E+04
1.8291E+05
1.0647E-01
3.9706E+02
1.5600E+02
-4.2342E+04
1.8421E+04
1.3628E+05
1.0647E-01
3.7501E+02
3.3334E+03
-4.2342E+04
1.6119E+04
2.6009E+05
1.0647E-01
3.5295E+02
1.0867E+02
-4.2342E+04
1.3816E+04
2.3821E+05
1.0647E-01
3.3089E+02
6.2083E+01
-4.2342E+04
1.1513E+04
4.3676E+05
1.0647E-01
3.0883E+02
3.3804E+03
-4.2342E+04
9.2106E+03
8.7268E+05
1.0647E-01
2.8677E+02
3.3351E+03
-4.2342E+04
6.9080E+03
2.4375E+06
1.0647E-01
2.6471E+02
1.6500E+01
-4.2342E+04
4.6053E+03
6.4043E+06
1.0647E-01
2.4265E+02
3.4204E+03
-4.2342E+04
2.3027E+03
1.2783E+07
1.0647E-01
2.2059E+02
1.2583E+02
-4.2342E+04
0.0000E+00
1.0167E+07
1.0647E-01
1.9853E+02
1.2489E+03
-4.4804E+04
5.0658E+04
1.7500E+00
1.0647E-01
1.7647E+02
3.4049E+04
-4.4804E+04
4.8356E+04
1.6946E+04
1.0647E-01
1.5441E+02
6.3467E+04
-4.4804E+04
4.6053E+04
8.9842E+03
1.0647E-01
1.3235E+02
1.1346E+05
-4.4804E+04
4.3750E+04
2.4849E+04
1.0647E-01
1.1030E+02
1.2817E+05
-4.4804E+04
4.1448E+04
1.9192E+04
1.0647E-01
8.8237E+01
1.2618E+05
-4.4804E+04
3.9145E+04
3.4601E+04
1.0647E-01
6.6177E+01
1.3409E+05
-4.4804E+04
3.6842E+04
5.6197E+04
1.0647E-01
4.4118E+01
2.8443E+05
-4.4804E+04
3.4540E+04
3.2128E+04
1.0647E-01
2.2059E+01
1.6269E+06
-4.4804E+04
3.2237E+04
2.9341E+04
1.0647E-01
0.0000E+00
4.2242E+07
-4.4804E+04
2.9934E+04
4.5730E+04
-2.3913E+01
7.0589E+02
1.2500E+00
-4.4804E+04
2.7632E+04
3.6006E+04
-2.3913E+01
5.9560E+02
4.2500E+00
-4.4804E+04
2.5329E+04
5.8018E+04
-2.3913E+01
5.0736E+02
1.2500E+00
-4.4804E+04
2.3027E+04
1.0624E+05
-2.3913E+01
4.8530E+02
1.7500E+00
-4.4804E+04
2.0724E+04
9.3420E+04
-2.3913E+01
4.4118E+02
2.5000E+00
-4.4804E+04
1.8421E+04
9.7104E+04
-2.3913E+01
4.1912E+02
6.8167E+01
-4.4804E+04
1.6119E+04
1.5678E+05
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Tower torsion, bottom M z [kNm] Level
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
31/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Level
Range
Cycles
Level
Range
Cycles
-2.3913E+01
3.9706E+02
3.5000E+00
-4.4804E+04
1.3816E+04
2.5517E+05
-2.3913E+01
3.5295E+02
4.1750E+01
-4.4804E+04
1.1513E+04
3.4285E+05
-2.3913E+01
3.3089E+02
3.3728E+03
-4.4804E+04
9.2106E+03
6.1610E+05
-2.3913E+01
3.0883E+02
7.9417E+01
-4.4804E+04
6.9080E+03
2.3987E+06
-2.3913E+01
2.8677E+02
1.7825E+02
-4.4804E+04
4.6053E+03
6.4735E+06
-2.3913E+01
2.6471E+02
3.5000E+00
-4.4804E+04
2.3027E+03
1.2170E+07
-2.3913E+01
2.4265E+02
3.4129E+03
-4.4804E+04
0.0000E+00
8.7953E+06
-2.3913E+01
2.2059E+02
3.6075E+02
-4.7266E+04
5.0658E+04
7.9620E+03
-2.3913E+01
1.9853E+02
5.4192E+02
-4.7266E+04
4.8356E+04
1.1913E+04
-2.3913E+01
1.7647E+02
1.3963E+04
-4.7266E+04
4.3750E+04
2.8823E+04
-2.3913E+01
1.5441E+02
6.0342E+02
-4.7266E+04
4.1448E+04
5.2205E+04
-2.3913E+01
1.3235E+02
1.3653E+04
-4.7266E+04
3.9145E+04
1.2395E+04
-2.3913E+01
1.1030E+02
9.9217E+03
-4.7266E+04
3.6842E+04
3.2151E+04
-2.3913E+01
8.8237E+01
1.1687E+04
-4.7266E+04
3.4540E+04
3.1610E+04
-2.3913E+01
6.6177E+01
1.2038E+04
-4.7266E+04
3.2237E+04
3.6933E+04
-2.3913E+01
4.4118E+01
1.7879E+04
-4.7266E+04
2.9934E+04
1.6887E+04
-2.3913E+01
2.2059E+01
1.1968E+05
-4.7266E+04
2.7632E+04
6.1572E+04
-2.3913E+01
0.0000E+00
9.7214E+05
-4.7266E+04
2.5329E+04
8.4030E+04
-4.7933E+01
5.9560E+02
1.2500E+00
-4.7266E+04
2.3027E+04
1.4814E+05
-4.7933E+01
5.5148E+02
1.2500E+00
-4.7266E+04
2.0724E+04
7.5620E+04
-4.7933E+01
5.2942E+02
1.7500E+00
-4.7266E+04
1.8421E+04
1.4138E+05
-4.7933E+01
4.8530E+02
2.5000E+00
-4.7266E+04
1.6119E+04
2.4061E+05
-4.7933E+01
4.4118E+02
1.7500E+00
-4.7266E+04
1.3816E+04
2.3288E+05
-4.7933E+01
4.1912E+02
3.5000E+00
-4.7266E+04
1.1513E+04
2.7021E+05
-4.7933E+01
3.7501E+02
4.2750E+01
-4.7266E+04
9.2106E+03
5.9870E+05
-4.7933E+01
3.5295E+02
4.2500E+00
-4.7266E+04
6.9080E+03
2.0257E+06
-4.7933E+01
3.3089E+02
1.0500E+01
-4.7266E+04
4.6053E+03
5.8076E+06
-4.7933E+01
3.0883E+02
1.3475E+02
-4.7266E+04
2.3027E+03
1.1921E+07
-4.7933E+01
2.8677E+02
3.4087E+03
-4.7266E+04
0.0000E+00
8.1923E+06
-4.7933E+01
2.6471E+02
3.6009E+03
-4.9727E+04
4.6053E+04
6.0500E+03
-4.7933E+01
2.4265E+02
2.1567E+02
-4.9727E+04
4.3750E+04
1.1854E+04
-4.7933E+01
2.2059E+02
6.9770E+03
-4.9727E+04
4.1448E+04
1.5865E+04
-4.7933E+01
1.9853E+02
3.6389E+03
-4.9727E+04
3.9145E+04
3.9632E+04
-4.7933E+01
1.7647E+02
3.6128E+03
-4.9727E+04
3.6842E+04
2.3708E+04
-4.7933E+01
1.5441E+02
1.0100E+02
-4.9727E+04
3.4540E+04
6.3365E+04
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Tower torsion, bottom M z [kNm] Level
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
32/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Level
Range
Cycles
Level
Range
Cycles
-4.7933E+01
1.3235E+02
1.2950E+02
-4.9727E+04
3.2237E+04
8.2653E+04
-4.7933E+01
1.1030E+02
5.8000E+01
-4.9727E+04
2.9934E+04
5.2345E+04
-4.7933E+01
8.8237E+01
6.3500E+01
-4.9727E+04
2.7632E+04
5.6372E+04
-4.7933E+01
6.6177E+01
2.7547E+03
-4.9727E+04
2.5329E+04
1.3839E+05
-4.7933E+01
4.4118E+01
7.4927E+03
-4.9727E+04
2.3027E+04
5.1633E+04
-4.7933E+01
2.2059E+01
7.8461E+04
-4.9727E+04
2.0724E+04
1.4584E+05
-4.7933E+01
0.0000E+00
3.6019E+05
-4.9727E+04
1.8421E+04
1.4098E+05
-7.1953E+01
6.3972E+02
1.7500E+00
-4.9727E+04
1.6119E+04
1.5353E+05
-7.1953E+01
5.9560E+02
1.7500E+00
-4.9727E+04
1.3816E+04
1.3138E+05
-7.1953E+01
5.7354E+02
3.9250E+01
-4.9727E+04
1.1513E+04
2.6144E+05
-7.1953E+01
5.5148E+02
3.7500E+01
-4.9727E+04
9.2106E+03
5.7940E+05
-7.1953E+01
5.0736E+02
3.9250E+01
-4.9727E+04
6.9080E+03
2.0156E+06
-7.1953E+01
4.6324E+02
3.7500E+01
-4.9727E+04
4.6053E+03
6.2739E+06
-7.1953E+01
4.1912E+02
5.2500E+00
-4.9727E+04
2.3027E+03
1.1886E+07
-7.1953E+01
3.9706E+02
4.8750E+01
-4.9727E+04
0.0000E+00
8.8568E+06
-7.1953E+01
3.5295E+02
3.5000E+00
-5.2189E+04
4.1448E+04
3.9513E+03
-7.1953E+01
3.3089E+02
3.9417E+01
-5.2189E+04
3.6842E+04
7.9025E+03
-7.1953E+01
3.0883E+02
1.1250E+01
-5.2189E+04
3.4540E+04
3.0397E+04
-7.1953E+01
2.8677E+02
4.8000E+01
-5.2189E+04
3.2237E+04
4.8956E+04
-7.1953E+01
2.6471E+02
7.8667E+01
-5.2189E+04
2.9934E+04
1.7974E+04
-7.1953E+01
2.4265E+02
1.8250E+01
-5.2189E+04
2.7632E+04
7.4051E+04
-7.1953E+01
2.2059E+02
7.2333E+01
-5.2189E+04
2.5329E+04
1.1214E+05
-7.1953E+01
1.9853E+02
8.7500E+00
-5.2189E+04
2.3027E+04
1.0906E+05
-7.1953E+01
1.7647E+02
2.3500E+01
-5.2189E+04
2.0724E+04
1.4076E+05
-7.1953E+01
1.5441E+02
2.8417E+01
-5.2189E+04
1.8421E+04
1.1996E+05
-7.1953E+01
1.3235E+02
1.2450E+02
-5.2189E+04
1.6119E+04
1.8910E+05
-7.1953E+01
1.1030E+02
1.2642E+02
-5.2189E+04
1.3816E+04
3.1050E+05
-7.1953E+01
8.8237E+01
2.1592E+02
-5.2189E+04
1.1513E+04
4.4861E+05
-7.1953E+01
6.6177E+01
3.2333E+02
-5.2189E+04
9.2106E+03
9.7063E+05
-7.1953E+01
4.4118E+01
7.0724E+03
-5.2189E+04
6.9080E+03
2.8113E+06
-7.1953E+01
2.2059E+01
4.7615E+04
-5.2189E+04
4.6053E+03
8.1850E+06
-7.1953E+01
0.0000E+00
1.0683E+05
-5.2189E+04
2.3027E+03
1.5149E+07
-9.5972E+01
7.0589E+02
1.7500E+00
-5.2189E+04
0.0000E+00
9.3580E+06
-9.5972E+01
5.9560E+02
1.7500E+00
-5.4651E+04
3.6842E+04
6.0500E+03
-9.5972E+01
5.5148E+02
3.5000E+00
-5.4651E+04
3.4540E+04
2.0062E+04
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Tower torsion, bottom M z [kNm] Level
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
33/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Level
Range
Cycles
Level
Range
Cycles
-9.5972E+01
5.2942E+02
1.7500E+00
-5.4651E+04
3.2237E+04
1.2100E+04
-9.5972E+01
4.8530E+02
7.0000E+00
-5.4651E+04
2.9934E+04
4.6306E+04
-9.5972E+01
4.6324E+02
1.7500E+00
-5.4651E+04
2.7632E+04
6.0259E+04
-9.5972E+01
4.4118E+02
3.5000E+00
-5.4651E+04
2.5329E+04
9.4859E+04
-9.5972E+01
3.9706E+02
3.5000E+00
-5.4651E+04
2.3027E+04
1.2313E+05
-9.5972E+01
3.7501E+02
8.7500E+00
-5.4651E+04
2.0724E+04
2.1585E+05
-9.5972E+01
3.5295E+02
5.2500E+00
-5.4651E+04
1.8421E+04
2.4936E+05
-9.5972E+01
3.3089E+02
3.5000E+00
-5.4651E+04
1.6119E+04
3.3369E+05
-9.5972E+01
3.0883E+02
8.7500E+00
-5.4651E+04
1.3816E+04
4.7066E+05
-9.5972E+01
2.8677E+02
5.2500E+00
-5.4651E+04
1.1513E+04
6.5219E+05
-9.5972E+01
2.6471E+02
3.5000E+00
-5.4651E+04
9.2106E+03
1.3645E+06
-9.5972E+01
2.4265E+02
1.3750E+01
-5.4651E+04
6.9080E+03
3.8290E+06
-9.5972E+01
2.2059E+02
6.0000E+00
-5.4651E+04
4.6053E+03
1.0441E+07
-9.5972E+01
1.9853E+02
9.5000E+00
-5.4651E+04
2.3027E+03
1.8440E+07
-9.5972E+01
1.7647E+02
6.0000E+00
-5.4651E+04
0.0000E+00
1.1358E+07
-9.5972E+01
1.5441E+02
1.5000E+01
-5.7113E+04
3.4540E+04
8.5415E+01
-9.5972E+01
1.3235E+02
2.3500E+01
-5.7113E+04
2.9934E+04
1.0001E+04
-9.5972E+01
1.1030E+02
2.1000E+01
-5.7113E+04
2.7632E+04
3.8190E+04
-9.5972E+01
8.8237E+01
1.9667E+02
-5.7113E+04
2.5329E+04
3.0254E+04
-9.5972E+01
6.6177E+01
1.8833E+02
-5.7113E+04
2.3027E+04
4.8705E+04
-9.5972E+01
4.4118E+01
2.0248E+04
-5.7113E+04
2.0724E+04
1.0087E+05
-9.5972E+01
2.2059E+01
7.1090E+03
-5.7113E+04
1.8421E+04
2.6795E+05
-9.5972E+01
0.0000E+00
2.2064E+04
-5.7113E+04
1.6119E+04
2.8789E+05
-1.1999E+02
7.0589E+02
1.7500E+00
-5.7113E+04
1.3816E+04
4.3752E+05
-1.1999E+02
6.8383E+02
1.7500E+00
-5.7113E+04
1.1513E+04
7.4483E+05
-1.1999E+02
5.9560E+02
1.7500E+00
-5.7113E+04
9.2106E+03
1.4190E+06
-1.1999E+02
5.2942E+02
5.2500E+00
-5.7113E+04
6.9080E+03
3.0641E+06
-1.1999E+02
5.0736E+02
1.7500E+00
-5.7113E+04
4.6053E+03
9.2226E+06
-1.1999E+02
4.4118E+02
1.7500E+00
-5.7113E+04
2.3027E+03
1.6920E+07
-1.1999E+02
4.1912E+02
3.5000E+00
-5.7113E+04
0.0000E+00
1.0747E+07
-1.1999E+02
3.7501E+02
1.7500E+00
-5.9575E+04
2.0724E+04
1.8235E+04
-1.1999E+02
3.5295E+02
5.2500E+00
-5.9575E+04
1.8421E+04
5.2229E+04
-1.1999E+02
3.3089E+02
5.2500E+00
-5.9575E+04
1.6119E+04
6.0147E+04
-1.1999E+02
3.0883E+02
3.5000E+00
-5.9575E+04
1.3816E+04
1.6196E+05
-1.1999E+02
2.6471E+02
2.5000E+00
-5.9575E+04
1.1513E+04
3.7803E+05
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Tower torsion, bottom M z [kNm] Level
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
34/37
Markov Matrices Tower shear, bottom F y [kN]
Tower bending, bottom M x [kNm]
Level
Range
Cycles
Level
Range
Cycles
-1.1999E+02
2.2059E+02
3.5000E+00
-5.9575E+04
9.2106E+03
8.2914E+05
-1.1999E+02
1.9853E+02
2.5000E+00
-5.9575E+04
6.9080E+03
2.3797E+06
-1.1999E+02
1.7647E+02
7.0000E+00
-5.9575E+04
4.6053E+03
7.2582E+06
-1.1999E+02
1.5441E+02
9.5000E+00
-5.9575E+04
2.3027E+03
1.2571E+07
-1.1999E+02
1.3235E+02
6.0000E+00
-5.9575E+04
0.0000E+00
7.8434E+06
-1.1999E+02
1.1030E+02
6.4917E+01
-6.2036E+04
1.8421E+04
1.2100E+04
-1.1999E+02
8.8237E+01
2.7042E+02
-6.2036E+04
1.6119E+04
1.8150E+04
-1.1999E+02
6.6177E+01
6.6000E+01
-6.2036E+04
1.3816E+04
4.2364E+04
-1.1999E+02
4.4118E+01
6.8192E+03
-6.2036E+04
1.1513E+04
1.5287E+05
-1.1999E+02
2.2059E+01
2.0332E+04
-6.2036E+04
9.2106E+03
3.5403E+05
-1.1999E+02
0.0000E+00
1.4684E+04
-6.2036E+04
6.9080E+03
1.1414E+06
-1.4401E+02
6.8383E+02
1.7500E+00
-6.2036E+04
4.6053E+03
3.5295E+06
-1.4401E+02
6.6177E+02
1.7500E+00
-6.2036E+04
2.3027E+03
6.8536E+06
-1.4401E+02
6.3972E+02
1.7500E+00
-6.2036E+04
0.0000E+00
4.2499E+06
-1.4401E+02
6.1766E+02
1.7500E+00
-6.4498E+04
1.6119E+04
1.5924E+04
-1.4401E+02
5.7354E+02
3.5000E+00
-6.4498E+04
9.2106E+03
6.4331E+04
-1.4401E+02
5.5148E+02
1.7500E+00
-6.4498E+04
6.9080E+03
3.3414E+05
-1.4401E+02
5.2942E+02
1.7500E+00
-6.4498E+04
4.6053E+03
1.3316E+06
-1.4401E+02
5.0736E+02
5.2500E+00
-6.4498E+04
2.3027E+03
2.5680E+06
-1.4401E+02
4.8530E+02
3.5000E+00
-6.4498E+04
0.0000E+00
1.2273E+06
-1.4401E+02
4.6324E+02
3.5000E+00
-6.6960E+04
9.2106E+03
7.9025E+03
-1.4401E+02
4.1912E+02
7.0000E+00
-6.6960E+04
6.9080E+03
3.2103E+04
-1.4401E+02
3.9706E+02
1.7500E+00
-6.6960E+04
4.6053E+03
1.9873E+05
-1.4401E+02
3.5295E+02
1.7500E+00
-6.6960E+04
2.3027E+03
5.0741E+05
-1.4401E+02
2.6471E+02
3.5000E+00
-6.6960E+04
0.0000E+00
3.0958E+05
-1.4401E+02
2.4265E+02
3.5000E+00
-6.9422E+04
4.6053E+03
1.2171E+04
-1.4401E+02
2.2059E+02
7.0000E+00
-6.9422E+04
2.3027E+03
5.6052E+04
-1.4401E+02
1.9853E+02
5.0000E+00
-6.9422E+04
0.0000E+00
6.8443E+04
-1.4401E+02
1.7647E+02
2.5000E+00
-7.1883E+04
0.0000E+00
3.1848E+04
-1.4401E+02
1.5441E+02
9.5000E+00
-1.4401E+02
1.3235E+02
2.2500E+01
-1.4401E+02
1.1030E+02
2.1000E+01
-1.4401E+02
8.8237E+01
1.0500E+01
-1.4401E+02
6.6177E+01
2.0900E+02
-1.4401E+02
4.4118E+01
5.6500E+01
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Tower torsion, bottom M z [kNm] Level
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
35/37
Markov Matrices Tower shear, bottom F y [kN] Level
Range
Cycles
-1.4401E+02
2.2059E+01
2.0358E+04
-1.4401E+02
0.0000E+00
7.9257E+03
-1.6803E+02
5.5148E+02
1.7500E+00
-1.6803E+02
5.2942E+02
1.7500E+00
-1.6803E+02
4.6324E+02
1.7500E+00
-1.6803E+02
2.4265E+02
3.5000E+00
-1.6803E+02
1.9853E+02
7.0000E+00
-1.6803E+02
1.7647E+02
1.3000E+01
-1.6803E+02
1.5441E+02
1.0500E+01
-1.6803E+02
1.3235E+02
2.2500E+01
-1.6803E+02
1.1030E+02
2.3500E+01
-1.6803E+02
8.8237E+01
1.0442E+02
-1.6803E+02
6.6177E+01
2.8000E+01
-1.6803E+02
4.4118E+01
1.6867E+02
-1.6803E+02
2.2059E+01
6.7732E+03
-1.6803E+02
0.0000E+00
5.5733E+02
-1.9205E+02
5.7354E+02
1.7500E+00
-1.9205E+02
2.8677E+02
3.5000E+00
-1.9205E+02
2.2059E+02
1.3917E+01
-1.9205E+02
1.9853E+02
1.0417E+01
-1.9205E+02
1.7647E+02
7.0000E+00
-1.9205E+02
1.5441E+02
1.3917E+01
-1.9205E+02
1.3235E+02
1.3000E+01
-1.9205E+02
1.1030E+02
8.8000E+01
-1.9205E+02
8.8237E+01
1.0500E+01
-1.9205E+02
6.6177E+01
9.2417E+01
-1.9205E+02
4.4118E+01
3.5417E+01
-1.9205E+02
2.2059E+01
1.7450E+02
-1.9205E+02
0.0000E+00
8.9000E+01
-2.1607E+02
2.6471E+02
2.5000E+00
-2.1607E+02
2.2059E+02
6.0000E+00
-2.1607E+02
1.9853E+02
9.5000E+00
-2.1607E+02
1.7647E+02
7.0000E+00
-2.1607E+02
1.3235E+02
7.0000E+00
-2.1607E+02
1.1030E+02
7.0000E+00
Tower bending, bottom M x [kNm] Level
Range
Cycles
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Tower torsion, bottom M z [kNm] Level
Range
Cycles
CLASS T05 DOCUMENT:
DESCRIPTION:
PAGE
0037-4072 VER 02
Foundation loads
36/37
Markov Matrices Tower shear, bottom F y [kN] Level
Range
Cycles
-2.1607E+02
8.8237E+01
7.0000E+00
-2.1607E+02
6.6177E+01
8.2000E+01
-2.1607E+02
4.4118E+01
2.4417E+01
-2.1607E+02
2.2059E+01
6.8333E+01
-2.1607E+02
0.0000E+00
1.7417E+01
-2.4009E+02
1.9853E+02
3.5000E+00
-2.4009E+02
1.7647E+02
3.5000E+00
-2.4009E+02
1.5441E+02
3.5000E+00
-2.4009E+02
1.3235E+02
8.2000E+01
-2.4009E+02
1.1030E+02
7.0000E+00
-2.4009E+02
8.8237E+01
9.6000E+01
-2.4009E+02
6.6177E+01
2.3500E+01
-2.4009E+02
4.4118E+01
1.6742E+02
-2.4009E+02
2.2059E+01
1.7500E+01
-2.4009E+02
0.0000E+00
9.9500E+01
-2.6411E+02
2.8677E+02
3.5000E+00
-2.6411E+02
2.2059E+02
3.5000E+00
-2.6411E+02
1.7647E+02
7.0000E+00
-2.6411E+02
1.5441E+02
7.0000E+00
-2.6411E+02
1.3235E+02
3.5000E+00
-2.6411E+02
1.1030E+02
7.0000E+00
-2.6411E+02
8.8237E+01
7.0000E+00
-2.6411E+02
6.6177E+01
1.4000E+01
-2.6411E+02
4.4118E+01
2.4500E+01
-2.6411E+02
2.2059E+01
8.9000E+01
-2.6411E+02
0.0000E+00
9.5917E+01
-2.8813E+02
2.2059E+02
1.0417E+01
-2.8813E+02
1.9853E+02
3.5000E+00
-2.8813E+02
1.7647E+02
7.0000E+00
-2.8813E+02
1.3235E+02
7.0000E+00
-2.8813E+02
1.1030E+02
3.5000E+00
-2.8813E+02
8.8237E+01
3.5000E+00
-2.8813E+02
6.6177E+01
7.8500E+01
-2.8813E+02
4.4118E+01
1.3917E+01
-2.8813E+02
2.2059E+01
1.4000E+01
Tower bending, bottom M x [kNm] Level
Range
Cycles
Copyright © - Vestas Wind Systems A/S, Alsvej 21, DK-8940 Randers SV, Denmark, www.vestas.com
Tower torsion, bottom M z [kNm] Level
Range
Cycles