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.

Width Cross- Weight1) Material3) Continuous current in A Continuous current in A

× section AC up to 60 Hz DC and AC 16²⁄₃ Hz

thickness painted bare painted bare

no. of conductors no. of conductors no. of conductors no. of conductors

1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4

mm mm2 kg/m

12 × 15 59.5 0.529 E-Cu F 37 203 345 411 177 312 398 203 345 411 177 312 398

12 × 10 119.5 1.063 E-Cu F 37 326 605 879 285 553 811 326 605 879 285 553 811

20 × 15 99.1 0.882 E Cu F 37 319 560 728 274 500 690 320 562 729 274 502 687

20 × 10 199 1.77 E-Cu F 30 497 924 1 320 427 825 1 180 499 932 1 300 428 832 1 210

30 × 15 149 1.33 E-Cu F 37 447 760 944 379 672 896 448 766 950 380 676 897

30 × 10 299 2.66 E-Cu F 30 676 1 200 1 670 573 1 060 1 480 683 1 230 1 630 579 1 080 1 520

40 × 15 199 1.77 E-Cu F 37 573 952 1 140 482 836 1 090 576 966 1 160 484 848 1 100

40 × 10 399 3 55 E-Cu F 30 850 1 470 2 000 2 580 715 1 290 1 770 2 280 865 1 530 2 000 728 1 350 1 880

1) 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

13

593

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) Material3) Continuous current in A Continuous current in A

× section AC up to 60 Hz DC and AC 16²⁄₃ Hz

thickness painted bare painted bare

no. of conductors no. of conductors no. of conductors no. of conductors

1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4

mm mm2 kg/m

50 × 15 249 2.22 E-Cu F 37 679 1 140 1 330 2 010 583 994 1 240 1 920 703 1 170 1370 1 588 1 020 1 300

50 × 10 499 4.44 E-Cu F 30 1 020 1 720 2 320 2 950 852 1510 2 040 2 600 1 050 1 830 2 360 1 875 1 610 2 220

60 × 15 299 2.66 E-Cu F 30 826 1 330 1 510 2 310 688 1 150 1 440 2 210 836 1 370 1 580 2 060 1 696 1 190 1 500 1 970

60 × 10 599 5.33 E-Cu F 30 1 180 1 960 2 610 3 290 985 1 720 2 300 2 900 1 230 2 130 2 720 3 580 1 020 1 870 2 570 3 390

80 × 15 399 3.55 E-Cu F 30 1 070 1 680 1 830 2 830 885 1 450 1 750 2 720 1 090 1 770 1 990 2 570 1 902 1 530 1 890 2 460

80 × 10 799 7.11 E-Cu F 30 1 500 2 410 3 170 3 930 1 240 2 110 2 790 3 450 1 590 2 730 3 420 4 490 1 310 2 380 3 240 4 280

100 × 15 499 4.44 E-Cu F 30 1 300 2 010 2 150 3 300 1 080 1 730 2 050 3 190 1 340 2 160 2 380 3 080 1 110 1 810 2 270 2 960

100 × 10 988 8.89 E-Cu F 30 1 810 2 850 3 720 4 530 1 490 2 480 3 260 3 980 1 940 3 310 4100 5 310 1 600 2 890 3 900 5 150

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 14.2 E-Cu F 30 2 700 4 130 5 360 6 320 2 220 3 590 4 680 5 530 3 010 5 060 6 130 8 010 2 470 4 400 5 860 7 710

200 × 10 2 000 17.8 E-Cu F 30 3 290 4 970 6 430 7 490 2 690 4 310 5 610 6 540 3 720 6 220 7 460 9 730 3 040 5 390 7 150 9 390

1) 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.

604

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

50Ix = I50 ÏW—

fx

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.

Continuous current in A

Diameter Cross section Weight1) DC and AC up to 60 Hz

mm mm2 kg/m painted bare

15 19.6 0.0713 78 70

18 50.3 0.182 148 132

10 78.5 0.285 201 177

16 201 0.730 386 335

20 314 1.14 525 452

32 804 2.92 1 000 850

50 1960 7.13 1 750 1 500

Material: E-AI to DIN 40501 Parts 2 and 3 and E-Cu to DIN 40500 Parts 2 and 3, copper claddingcomprises 15 % of cross-section area.

1) Calculated for a density of 3.63 kg/dm3

13

605

Correction factor k2

for deviations in ambient and/or busbar temperature, see Fig. 13-4.

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. 13-4

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.

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.

606

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 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.

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 Thickness of Factor k3 when conductors

busbar conductor and

clearance painted bare

mm mm Al Al/Cu Cu Al Al/Cu Cu

50…100 5…10 — 0.85 — — 0.8 —

2 50…200 0.85 — 0.85 0.8 — 0.8

50…80 0.85 0.85 0.85 0.8 0.8 0.8

3 100 5…10 — 0.8 — — 0.75 —

100…200 0.8 — 0.8 0.75 — 0.75

up to 100 — 0.8 — — 0.75 —

4 160 0.75 — 0.75 0.7 — 0.7

200 0.7 — 0.7 0.65 — 0.65

2 up to 200 0.95 — — 0.9 — —

Correction factor k3

for thermal capacity load variations due to differences in layout, see Table 13-13.

13

607

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.

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 Factor k5 Factor k5

m indoors outdoors1)

1 000 1.00 0.98

2 000 0.99 0.94

3 000 0.96 0.89

4 000 0.90 0.83

1) Reduction smaller at geogr. latitude above 60 ° and/or with heavily dust-laden air.

n=2 and 3

0,2

608

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

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 = 2and 3

Informações Técnicas

Capacidade de condução de barras de cobre - corrente permanentesegundo a norma DIN 43 671 para instalações internas a 35ºC de temperatura ambiente e 65ºC detemperatura do barramento.

12x215x215x3

20x220x320x5

20x1025x325x5

30x330x5

30x10

40x340x5

40x10

50x550x10

60x560x10

80x580x10

100x5100x10

120x10160x10200x10

largx

esp

mm

seção

mm2

mat.prima

Corrente em Amperes - corrente alternada até 60 Hzpintado nu

quantidade de barras quantidade de barras

1

I

2

II

3

III

4

II II

1

I

2

II

3

III

4

II II

23,529,544,5

39,559,599,119974,5124

89,5149299

119199399

249499

299599

399799

499999

120016002000

E-Cu

F30

123148187

189237319497287384

337447676

435573850

6971020

8261180

10701500

13001810

211027003290

202240316

302394560924470662

544760

1200

692952

1470

11401720

13301960

16802410

20102850

328041304970

228261381

313454728

1320525839

593944

1670

72511402000

13302320

15102610

18303170

21503720

427053606430

2580

20102950

23103290

28303930

33004530

513063207490

108128162

162204274427245327

285379573

366482715

583852

688985

8851240

10801490

174022202690

182212282

264348500825412586

476672

1060

600836

1290

9941510

11501720

14502110

17302480

286035904310

216247361

298431690

1180498795

564896

1480

69010901770

12602040

14402300

17502790

20503260

374046805610

2280

19202600

22102900

27203450

31903980

450055306540

50 50

60 Vendas São Paulo Tel: (011) 4191-3144 Fax: (011) 4195-2151 E mail: vendas@holec.com.br Site: www.holec.com.br

Fator de correção K2

Os valores de capacidade de condução queestão acima dos valores apresentados naNorma DIN 43671 foram obtidos sobcondições operacionais. A temperatura dobarramento é influenciada peloscomponentes montados no barramento epela temperatura ambiente.Para diferentes temperaturas ambiente e dobarramento deve ser aplicado o fator decorreção K2 para o cálculo da capacidade decondução de corrente.Exemplo:Temperatura ambiente 35º CTemperatura do barramento 60º CFator K2=0,9

Fato

rK

2

Temperatura do barramento

2,2

2,1

2,0

1,9

1,8

1,7

1,6

1,5

1,4

1,3

1,2

1,1

1,0

0,9

0,8

0,7

0,6

0,5

0,4

0,350 55 60 65 70 75 80 85 90 95 100 105 110 115 ºC 125

0ºC1015202530354045505560

65

Tem

pera

tura

ambi

ente