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Power Electronic 1 (EET307) Half ‐wave Rectifier with Resistive Load
4/17/2017
Half ‐wave Rectifier with Resistive Load by MFN. Tajuddin
1
Learning Outcomes
•
To understand the operation and characteristics of rectifiers.
•
To understand the performance parameters of the rectifiers. yz
•
.
To learn techniques for designing the rectifier circuit.
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Half ‐wave Rectifier with Resistive Load by MFN. Tajuddin
2
Introduction •
AC to DC Converters is a circuit used to convert AC power to .
•
Also known as rectifier
•
Other t
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es of converter is shown below INPUT
OUTPUT
CONVERTER
AC
DC
Rectifier
AC
AC
AC Voltage Controller
DC
AC
Inverter
DC
DC
Chopper
Half ‐wave Rectifier with Resistive Load by MFN. Tajuddin
3
Types of Rectifier •
Half ‐wave rectifier
•
u ‐wave rect er
•
Controlled rectifier
•
Single Phase rectifier
•
Three Phase rectifier
4/17/2017
Half ‐wave Rectifier with Resistive Load by MFN. Tajuddin
4
Types of Rectifier •
Half ‐wave rectifier
•
u ‐wave rect er
•
Controlled rectifier
•
Single Phase rectifier
•
Three Phase rectifier
4/17/2017
Half ‐wave Rectifier with Resistive Load by MFN. Tajuddin
5
Uncontrolled Half ‐wave Rectifier (R Load) •
•
During the positive half ‐cycle of the input voltage, diode D1 . During the negative half ‐cycle of the input voltage, the diode D1 is in a blocking condition and the output voltage is zero
4/17/2017
Half ‐wave Rectifier with Resistive Load by MFN. Tajuddin
6
Uncontrolled Half ‐wave Rectifier (R Load)
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Half ‐wave Rectifier with Resistive Load by MFN. Tajuddin
7
Uncontrolled Half ‐wave Rectifier (R Load) •
The output voltage is given by average value V o V avg
I o •
V o R
1
V m sin( t )d ( t )
2 0
V m
V m R
The average power absorbed by the resistor
2 rms
where
4/17/2017
V rms
2 rms
V m
2
and I rms
V m
2 R
Half ‐wave Rectifier with Resistive Load by MFN. Tajuddin
8
EET307 POWER ELECTRONIC I – EXAMPLE 1 •
For a half‐ wave rectifier circuit shown below, the source is sinusoid of 240Vrms at a frequency of 50Hz. The load resistor is 5Ω. Determine: b) The average power absorbed by the load c) The power factor of the circuit. d) Sketch the voltage waveforms of t e c rcu t.
EET307 POWER ELECTRONIC I – Solution Ex. 1
EET307 POWER ELECTRONIC I – Tutorial Q1 •
The half ‐wave rectifier circuit has Vs(t) = 170 sin(377t) V and a load resistance R=15 ohm .
Determine a
e average oa curren ,
(b) the rms load current, , (d) the apparent power supplied by the source, and (e) the power factor of the circuit.
EET307 POWER ELECTRONIC I – Solution Q1
a) I 0
V0
b) I rms
V m
Vrms R
170 /
3.60 A.
V m
170
5.66 A.
2R
2(15)
c) P I 2 R 5.66 2 (15) 480 W . d ) S Vrms I rms e) pf
P S
170
480 W 679 VA
(5.66) 679 VA.
0.707 70.7%
EET307 POWER ELECTRONIC I – Tutorial Q2 •
The half ‐wave rectifier circuit of below has a transformer inserted between the source and the remainder of the circuit. The source is 240 V at 50 Hz and the load resistor is 20 ohm.
(a) Determine the required turns ratio o t e trans ormer suc t at t e average load current is 12 A. the primary transformer.
winding
of
the
EET307 POWER ELECTRONIC I – Solution Q2 a ) I 0 12 A.; I 0 Vo
V m
Vrms
N 2
o
V 0
V0 I0 R (12)(20) 240 V .
; Vm Vo 240 754 V .
754 2 533 o
533 V . 0.45 N 2
12
N 1
0.45
.
.
Controlled Half ‐wave Rectifier (R Load) •
Thyristor (SCR) is used to control the output of the rectifier. w
•
•
con uct w en t e source ecomes pos t ve.
The conduction is delayed until a gate signal is applied (α).
4/17/2017
Half ‐wave Rectifier with Resistive Load by MFN. Tajuddin
15
Controlled Half ‐wave Rectifier (R Load)
4/17/2017
Half ‐wave Rectifier with Resistive Load by MFN. Tajuddin
16
EET307 POWER ELECTRONIC I – CONTROLLED HALF‐WAVE RECTIFIER (RESISTIVE LOAD) •
The output voltage is given by average value o
•
1
2
m s n t
t
V 2
cos
The average power absorbed by the resistor P = V 2rms / R w ere
EET307 POWER ELECTRONIC I – EXAMPLE 2 •
Design a circuit to produce an average voltage of 40V across 100Ω from 120Vrms 60Hz AC source. Determine the power absorbed by the resistance and the power factor.
•
Uncontrolled Half ‐wave rectifier with R load
•
Controlled Half ‐wave rectifier with R
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Half ‐wave Rectifier with Resistive Load by MFN. Tajuddin
