592
Continuous current-carrying capacity of copper conductors (DIN 43 671) Table 13-4 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- Weight1) Material3) Continuous current in A × section AC up to 60 Hz thickness painted no. of conductors 1 2 3 4 Width
bare no. of conductors 1 2 3
4
Continuous current in A DC and AC 16²⁄₃ 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
345 605
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
560 728 924 1 320
274 427
500 825
690 1 180
320 499
562 729 932 1 300
274 428
502 832
687 1 210
30 × 15 30 × 10
149 299
1.33 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
766 950 1 230 1 630
380 579
676 1 080
897 1 520
40 × 15 40 × 10
199 399
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
kg/m
1)
2 580
Calculated for a density of 8.9 kg/dm3. 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
4
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- Weight1) section
thickness
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
4
Continuous current in A DC and AC 16²⁄₃ 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 1 990 3 450 1 590 2 730 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 2 380 3 980 1 940 3 310 4100
3 080 5 310
1 110 1 810 2 270 2 960 1 600 2 890 3 900 5 150
mm
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 6 130 6 540 3 720 6 220 7 460
8 010 9 730
2 470 4 400 5 860 7 710 3 040 5 390 7 150 9 390
1)
593
Calculated for a density of 8.9 kg/dm3. 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/dm3
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): k1 correction factor for load capacity variations relating to conductivity, k2 correction factor for other air and/or busbar temperatures, k3 correction factor for thermal load capacity variations due to differences in layout, k4 correction factor for electrical load capacity variations (with alternating current) due to differences in layout, k5 correction factor for influences specific to location. The current-carrying capacity is then Icont = Itable · k1 · k2 · k3 · k4 · k5. The load capacity values for three-phase current with a frequency of 16²⁄₃ Hz are the same as for direct current. For frequencies fx > 50 Hz, the load capacity value are calculated with the formula Ix = I50 604
ÏW
50 — fx
Correction factor k1 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 k1 = 0.925.
Fig. 13-3 Correction factor k1 for variation of load capacity when conductivity differs a) from 35.1 m/ Ωmm2 for aluminium materials and b) from 56 m/ Ωmm2 for copper materials and c) factor k1 for load capacity variation with copper-clad aluminium conductors having other than 15 % copper. Correction factor k2 for deviations in ambient and/or busbar temperature, see Fig. 13-4.
Correction factor k2 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
13
Fig. 13-4
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 ϑu = 35 °C and an ultimate busbar temperature of ϑs = 80 °C (temperature rise 45 K), the factor k2 = 1.24. With an ambient temperature of ϑu = 45 °C and an ultimate busbar temperature of ϑs = 65 °C (temperature rise 20 K), factor k2 = 0.77.
Correction factor k3 for thermal capacity load variations due to differences in layout, see Table 13-13.
Table 13-13 Correction factor k3 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 k3 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 k4 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 k4 need be considered only if there is no branching within a distance of at least 2 m. 606
Correction factor k5 Influences specific to the location (altitude, exposure to sun, etc.) can be allowed for with factor k5 as given in Table 13-14. Table 13-14 Correction factor k5 for reduction in load capacity at altitudes above 1000 m. Height above sea-level m
Factor k5 indoors
Factor k5 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.
13
n = 2 and 3
0,2
Fig. 13-5 Correction factor k4 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 k4 for conductors of s = 5 mm, and c) Factor k4 for conductors of s = 10 mm as a function of b · h/a2; a, b and h in mm; parameter n = number of conductors per phase. 607
Fig. 13-6 Correction factor k4 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 k4 for conductor thickness s = 15 mm b) Factor k4 for conductor thickness s = 10 mm c) Factor k4 for conductor thickness s = 15 mm
n=2 and 3
Fig. 13-7 Correction factor k4 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 k4 for conductor thickness s = 10 mm b) Factor k4 for conductor thickness s = 5 mm 608
Informações Técnicas Capacidade de condução de barras de cobre - corrente permanente segundo a norma DIN 43 671 para instalações internas a 35ºC de temperatura ambiente e 65ºC de temperatura do barramento. larg x esp
seção
mm
mm2
Corrente em Amperes - corrente alternada até 60 Hz pintado nu quantidade de barras quantidade de barras
mat. prima 1
2
4
3
I
II
III
50
II II
1
2
3
4
I
II
III
II II
23,5 29,5 44,5
123 148 187
202 240 316
228 261 381
108 128 162
182 212 282
216 247 361
20x2 20x3 20x5 20x10 25x3 25x5
39,5 59,5 99,1 199 74,5 124
189 237 319 497 287 384
302 394 560 924 470 662
313 454 728 1320 525 839
162 204 274 427 245 327
264 348 500 825 412 586
298 431 690 1180 498 795
30x3 30x5 30x10
89,5 149 299
337 447 676
544 760 1200
593 944 1670
285 379 573
476 672 1060
564 896 1480
40x3 40x5 40x10
119 199 399
435 573 850
692 952 1470
725 1140 2000
2580
366 482 715
600 836 1290
690 1090 1770
2280
50x5 50x10
249 499
697 1020
1140 1720
1330 2320
2010 2950
583 852
994 1510
1260 2040
1920 2600
60x5 60x10
299 599
826 1180
1330 1960
1510 2610
2310 3290
688 985
1150 1720
1440 2300
2210 2900
80x5 80x10
399 799
1070 1500
1680 2410
1830 3170
2830 3930
885 1240
1450 2110
1750 2790
2720 3450
100x5 100x10
499 999
1300 1810
2010 2850
2150 3720
3300 4530
1080 1490
1730 2480
2050 3260
3190 3980
120x10 160x10 200x10
1200 1600 2000
2110 2700 3290
3280 4130 4970
4270 5360 6430
5130 6320 7490
1740 2220 2690
2860 3590 4310
3740 4680 5610
4500 5530 6540
E-Cu F30
0 ºC 10 15 20 25 30 35 40 45 50 55 60
2,1 2,0
Fator de correção K2
1,9 1,8
Vendas São Paulo
Tel: (011) 4191-3144
1,7 1,6 1,5
65
1,4 1,3 1,2
Fator K2
Os valores de capacidade de condução que estão acima dos valores apresentados na Norma DIN 43671 foram obtidos sob condições operacionais. A temperatura do barramento é influenciada pelos componentes montados no barramento e pela temperatura ambiente. Para diferentes temperaturas ambiente e do barramento deve ser aplicado o fator de correção K2 para o cálculo da capacidade de condução de corrente. Exemplo: Temperatura ambiente 35º C Temperatura do barramento 60º C Fator K 2=0,9
Temperatura ambiente
12x2 15x2 15x3
2,2
60
50
Fax: (011) 4195-2151
1,1 1,0 0,9 0,8 0,7 0,6 0,5 0,4 0,3 50
55
60
65
70
75
80
85
90
95 100 105 110 115 ºC 125
Temperatura do barramento
E mail:
[email protected]
Site: www.holec.com.br
