5 9 2
Continuous current-carrying current-carrying capacity of copper conductors (DIN 43 671) Table 13-4 Copper conductors of rectangular cross-section in indoor installations. Ambient temperatur temperature e 35 °C. Conductor temperature 65 °C. Conductor width vertical: clearance between conductors equal to conductor thickness; with alternating current, clearance between phases > 0.8 × phase centre-line distance. Cross Cro ss-- Wei eigh ghtt 1) Material3) Continuous current in A section AC up to 60 Hz thickness painted no. of conductors 1 2 3 4 Widt Wi dth h ×
bare no. of conductors 1 2 3
4
Continuous current in A DC and AC 16 ²⁄₃ Hz painted no. of conductors 1 2 3 4
bare no. of conductors 1 2 3
mm
mm2
12 × 15 12 × 10
59.5 0.529 119.5 1.063
E-Cu F 37 203 E-Cu F 37 326
34 345 6 60 05
411 879
177 285
312 553
398 811
203 326
345 605
411 879
177 285
312 553
398 811
20 × 15 20 × 10
99.1 0.882 199 1.77
E Cu F 37 319 E-Cu F 30 497
56 560 728 924 1 320
274 427
500 825
690 1 180
320 499
562 932
729 1 300
274 428
502 832
687 1 210
30 × 15 30 × 10
149 299
1..33 1 2.66
E-Cu F 37 447 760 944 E-Cu F 30 676 1 200 1 670
379 573
672 1 060
896 1 480
448 683
766 1 230
950 1 630
380 579
676 1 080
897 1 520
40 × 15 40 × 10
19 1 99 399
1.77 3 55
E-Cu F 37 573 952 1 140 E-Cu F 30 850 1 470 2 000
482 715
836 1 290
1 090 1 770 2 280
576 865
966 1 160 1 530 2 000
484 728
848 1 350
1 100 1 880
4
kg/m
2 580
1)
Calculated for a density of 8.9 kg/dm 3.
2)
Minimum clearance given in mm.
3)
Material: E-Cu or other material to DIN 40500 Part 3, preferred semi-finished material. Flat bars with rounded edges to DIN 46433 Selection Part 3.
Continued on next page
Table 13-4 (continued) Copper conductors of rectangular cross-section in indoor installations. Ambient temperature 35 °C. Conductor temperature 65 °C. Conductor width vertical: clearance between conductors equal to conductor thickness; with alternating current, clearance between phases > 0.8 × phase centre-line distance. Width ×
Cross- Weight 1) section
thickness
4
Continuous current in A DC and AC 16 ²⁄₃ Hz painted bare no. of conductors no. of conductors 1 2 3 4 1 2 3
4
mm2
kg/m
50 × 15 50 × 10
249 499
2.22 E-Cu F 37 679 1 140 1 330 2 010 4.44 E-Cu F 30 1 020 1 720 2 320 2 950
583 852
994 1510
1 240 2 040
1 920 703 1 170 1370 2 600 1 050 1 830 2 360
60 × 15 60 × 10
299 599
2.66 E-Cu F 30 826 1 330 1 510 2 310 5.33 E-Cu F 30 1 180 1 960 2 610 3 290
688 1 150 985 1 720
1 440 2 300
2 210 836 1 370 1 580 2 900 1 230 2 130 2 720
2 060 3 580
1 696 1 190 1 500 1 970 1 020 1 870 2 570 3 390
80 × 15 80 × 10
399 799
3.55 E-Cu F 30 1 070 1 680 1 830 2 830 7.11 E-Cu F 30 1 500 2 410 3 170 3 930
885 1 450 1 240 2 110
1 750 2 790
2 720 1 090 1 770 3 450 1 590 2 730
1 990 3 420
2 570 4 490
1 902 1 530 1 890 2 460 1 310 2 380 3 240 4 280
100 × 15 100 × 10
499 988
4.44 E-Cu F 30 1 300 2 010 2 150 3 300 8.89 E-Cu F 30 1 810 2 850 3 720 4 530
1 080 1 730 1 490 2 480
2 050 3 260
3 190 1 340 2 160 3 980 1 940 3 310
2 380 4100
3 080 5 310
1 110 1 810 2 270 2 960 1 600 2 890 3 900 5 150
mm
5 9 3
Material3) Continuous current in A AC up to 60 Hz painted bare no. of conductors no. of conductors 1 2 3 4 1 2 3
1 588 1 020 1 300 1 875 1 610 2 220
120 × 10 1 200
10.7
E-Cu F 30 2 110 3 280 4 270 5 130
1 740 2 860
3 740
4 500 2 300 3 900
4 780
6 260
1 890 3 390 4 560 6 010
160 × 10 1 600 200 × 10 2 000
14.2 17.8
E-Cu F 30 2 700 4 130 5 360 6 320 E-Cu F 30 3 290 4 970 6 430 7 490
2 220 3 590 2 690 4 310
4 680 5 610
5 530 3 010 5 060 6 540 3 720 6 220
6 130 7 460
8 010 9 730
2 470 4 400 5 860 7 710 3 040 5 390 7 150 9 390
1)
Calculated for a density of 8.9 kg/dm 3.
2)
Minimum clearance given in mm.
3)
Material: E-Cu or other material to DIN 40500 Part 3 preferred semi-finished material. Flat bars with rounded edges to DIN 46433 Selection Part 3.
13
Table 13-4 (continued) Copper conductors of rectangular cross-section in indoor installations. Ambient temperature 35 °C. Conductor temperature 65 °C. Conductor width vertical: clearance between conductors equal to conductor thickness; with alternating current, clearance between phases > 0.8 × phase centre-line distance. Cross- Weight 1) section
Width ×
Material3) Continuous current in A AC up to 60 Hz painted bare no. of conductors no. of conductors 1 2 3 4 1 2 3
thickness
4
mm2
kg/m
50 × 15 50 × 10
249 499
2.22 E-Cu F 37 679 1 140 1 330 2 010 4.44 E-Cu F 30 1 020 1 720 2 320 2 950
583 852
994 1510
1 240 2 040
1 920 703 1 170 1370 2 600 1 050 1 830 2 360
60 × 15 60 × 10
299 599
2.66 E-Cu F 30 826 1 330 1 510 2 310 5.33 E-Cu F 30 1 180 1 960 2 610 3 290
688 1 150 985 1 720
1 440 2 300
2 210 836 1 370 1 580 2 900 1 230 2 130 2 720
2 060 3 580
1 696 1 190 1 500 1 970 1 020 1 870 2 570 3 390
80 × 15 80 × 10
399 799
3.55 E-Cu F 30 1 070 1 680 1 830 2 830 7.11 E-Cu F 30 1 500 2 410 3 170 3 930
885 1 450 1 240 2 110
1 750 2 790
2 720 1 090 1 770 3 450 1 590 2 730
1 990 3 420
2 570 4 490
1 902 1 530 1 890 2 460 1 310 2 380 3 240 4 280
100 × 15 100 × 10
499 988
4.44 E-Cu F 30 1 300 2 010 2 150 3 300 8.89 E-Cu F 30 1 810 2 850 3 720 4 530
1 080 1 730 1 490 2 480
2 050 3 260
3 190 1 340 2 160 3 980 1 940 3 310
2 380 4100
3 080 5 310
1 110 1 810 2 270 2 960 1 600 2 890 3 900 5 150
mm
5 9 3
4
Continuous current in A DC and AC 16 ²⁄₃ Hz painted bare no. of conductors no. of conductors 1 2 3 4 1 2 3
1 588 1 020 1 300 1 875 1 610 2 220
120 × 10 1 200
10.7
E-Cu F 30 2 110 3 280 4 270 5 130
1 740 2 860
3 740
4 500 2 300 3 900
4 780
6 260
1 890 3 390 4 560 6 010
160 × 10 1 600 200 × 10 2 000
14.2 17.8
E-Cu F 30 2 700 4 130 5 360 6 320 E-Cu F 30 3 290 4 970 6 430 7 490
2 220 3 590 2 690 4 310
4 680 5 610
5 530 3 010 5 060 6 540 3 720 6 220
6 130 7 460
8 010 9 730
2 470 4 400 5 860 7 710 3 040 5 390 7 150 9 390
1)
Calculated for a density of 8.9 kg/dm 3.
2)
Minimum clearance given in mm.
3)
Material: E-Cu or other material to DIN 40500 Part 3 preferred semi-finished material. Flat bars with rounded edges to DIN 46433 Selection Part 3.
13
Table 13-12 Copper-clad aluminium conductors of round cross-section in indoor installations, ambient temperature 35 °C, conductor temperature 65 °C; with alternating current, phase centre-line distance ≥ 1.25 × diameter.
Diameter mm 15 18 10 16 20 32 50
Cross section mm2 19.6 50.3 78.5 201 314 804 1960
kg/m
Continuous current in A DC and AC up to 60 Hz painted bare
0.0713 0.182 0.285 0.730 1.14 2.92 7.13
78 148 201 386 525 1 000 1 750
Weight1)
70 132 177 335 452 850 1 500
Material: E-AI to DIN 40501 Parts 2 and 3 and E-Cu to DIN 40500 Parts 2 and 3, copper cladding comprises 15 % of cross-section area. 1)
Calculated for a density of 3.63 kg/dm 3
Table 13-12 Copper-clad aluminium conductors of round cross-section in indoor installations, ambient temperature 35 °C, conductor temperature 65 °C; with alternating current, phase centre-line distance ≥ 1.25 × diameter.
Diameter mm 15 18 10 16 20 32 50
Cross section mm2 19.6 50.3 78.5 201 314 804 1960
kg/m
Continuous current in A DC and AC up to 60 Hz painted bare
0.0713 0.182 0.285 0.730 1.14 2.92 7.13
78 148 201 386 525 1 000 1 750
Weight1)
70 132 177 335 452 850 1 500
Material: E-AI to DIN 40501 Parts 2 and 3 and E-Cu to DIN 40500 Parts 2 and 3, copper cladding comprises 15 % of cross-section area. 1)
Calculated for a density of 3.63 kg/dm 3
Correction factors for deviations from the assumptions If there are differences between the actual conditions and the assumed conditions, the value of the continuous current taken from Tables 13-4 to 13-9, 13-11 and 13-12 must be multiplied by the following correction factors (DIN 43670, DIN 43670 Part 2 and DIN 43671): k 1 correction factor for load capacity variations relating to conductivity, k 2 correction factor for other air and/or busbar temperatures, k 3 correction factor for thermal load capacity variations due to differences in layout, k 4 correction factor for electrical load capacity variations (with alternating current) due to differences in layout, k 5 correction factor for influences specific to location. The current-carrying capacity is then I cont = I table · k 1 · k 2 · k 3 · k 4 · k 5. The load capacity values for three-phase current with a frequency of 16 ²⁄₃ Hz are the same as for direct current. For frequencies f x > 50 Hz, the load capacity value are calculated with the formula I x = I 50
50 —f x
604
Correction factor k 1 for load capacity variations relating to conductivity, see Fig. 13-3. For example, in the case of the aluminium alloy E-AlMgSi 0.5 ( κ = 30 m/ Ωmm2), the factor k 1 = 0.925.
Fig. 13-3 Correction factor k 1 for variation of load capacity when conductivity differs a) from 35.1 m/ Ω mm 2 for aluminium materials and b) from 56 m/ Ω mm 2 for copper materials and c) factor k 1 for load capacity variation with copper-clad aluminium conductors having other than 15 % copper. Correction factor k 2 for deviations in ambient and/or busbar temperature, see Fig. 13-4. Fig. 13-4 Correction factor k 2 for load capacity variation at ambient temperatures other than 35 °C and/or busbar temperatures other than 65 °C; ϑs busbar temperature, ϑu mean ambient temperature over 24 hours, short-time maximum value 5 K above mean value.
605
3 1
When selecting the busbar cross-sections, attention must be paid to the maximum permissible operating temperature of the equipment and its connections, and also to heat-sensitive insulating materials. This applies in particular to metal-clad installations. For example, at an ambient temperature of ϑ u = 35 °C and an ultimate busbar temperature of ϑ s = 80 °C (temperature rise 45 K), the factor k 2 = 1.24. With an ambient temperature of ϑ u = 45 °C and an ultimate busbar temperature of ϑ s = 65 °C (temperature rise 20 K), factor k 2 = 0.77.
Correction factor k 3 for thermal capacity load variations due to differences in layout, see Table 13-13.
Table 13-13 Correction factor k 3 for load capacity reduction with long side (width) of bus conductors in horizontal position or with busbars vertical for more than 2 m for Al = aluminium conductors DIN 43670, Al/Cu = copper-clad aluminium conductors DIN 43670 Part 2, Cu = copper conductors DIN 43671 Number of conductors
Width of busbar mm
2
50…100 50…200
Thickness of conductor and clearance mm
Factor k 3 when conductors
5…10
— 0.85
Al
bare Al/Cu Cu
0.85 — — 0.85
— 0.8
0.8 —
— 0.8
0.85 — 0.8
0.85 0.85 0.8 — — 0.8
0.8 — 0.75
0.8 0.75 —
0.8 — 0.75
Al
painted Al/Cu Cu
3
50…80 100 100…200
4
up to 100 160 200
— 0.75 0.7
0.8 — —
— 0.75 0.7
— 0.7 0.65
0.75 — —
— 0.7 0.65
2
up to 200
0.95
—
—
0.9
—
—
5…10
Correction factor k 4 for electrical load capacity variations (with alternating current) due to different layout, Fig. 13-5 for copper conductors, Fig. 13-6 for aluminium conductors and 13-7 for copper-clad aluminium conductors. Factor k 4 need be considered only if there is no branching within a distance of at least 2 m. 606
Correction factor k 5 Influences specific to the location (altitude, exposure to sun, etc.) can be allowed for with factor k 5 as given in Table 13-14. Table 13-14 Correction factor k 5 for reduction in load capacity at altitudes above 1000 m. Height above sea-level m
Factor k 5 indoors
Factor k 5 outdoors1)
1 000 2 000 3 000 4 000
1.00 0.99 0.96 0.90
0.98 0.94 0.89 0.83
1)
Reduction smaller at geogr. latitude above 60 ° and/or with heavily dust-laden air.
n= 2 and 3
3 1 0,2
Fig. 13-5 Correction factor k 4 for reduction in load with alternating current up to 60 Hz due to additional skin effect in Cu conductors with small phase centre-line distance a: a) Examples: Three-phase busbar with n = 3 conductors per phase and conductor thickness s in direction of phase centre-line distance a (above); AC single-phase busbar with n = 2 conductors per phase and conductor thickness s at right angles to phase centre-line distance a (below), b) Factor k 4 for conductors of s = 5 mm, and c) Factor k 4 for conductors of s = 10 mm as a function of b · h/a 2; a, b and h in mm; parameter n = number of conductors per phase. 607
Fig. 13-6 Correction factor k 4 for reduction in load capacity with alternating current up to 60 Hz due to additional skin effect in Al conductors with small phase centre-line distance a; symbols as Fig. 13-5 a) Factor k 4 for conductor thickness s = 15 mm b) Factor k 4 for conductor thickness s = 10 mm c) Factor k 4 for conductor thickness s = 15 mm
n=2 and 3
Fig. 13-7 Correction factor k 4 for reduction in load capacity with alternating current up to 60 Hz due to additional skin effect in copper-clad aluminium conductors with small phase centre-line distance a; symbols as Fig. 13-5 a) Factor k 4 for conductor thickness s = 10 mm b) Factor k 4 for conductor thickness s = 5 mm 608
