ACADEMIA DO CONHECIMENTO
Cálculos de queda de tensão (Inglês) – Voltage Drop Calculations
Voltage Drop Calculations
The voltage drop of any insulated cable is dependent upon the route length under consideration (in meters), the required current rating (in amperes) and the relevant total impedance per unit length of the cable. The maximum impedance and voltage drop applicable to each cable at maximum conductor temperature and under a.c. conditions is given in the tables. For cables operating under dc conditions, the appropriate voltage drops may be calculated using the formula.
2 x route length x current x resistance x 10¯³.
The values detailed in the tables are given in m/V/Am, (volts/100 per ampere per metre), and the nominal
maximum acceptable volt drop specified by the IEE Regulations is 2.5% of the system voltage, i.e. 0.025 x 415
= 10.5 volts for 3 phase working or 0.025 x 240 = 6.0 volts for single phase working.
Consider a 3 phase system
The requirement may be for a load of 1000A to be transmitted over a route length of 150m, the cable to be
clipped to the wall and close protection provided. The rating tables in the IEE Regulations indicate that a
35mm copper conductor PVC SWA PVC cable would be suitable for the loading required, but the voltage drop
must be checked.
Volt drop = Y x current x length
= 1.1 x 100 x 150 millivolts
= 1.1 x 100 x 150 volts/1000
= 16.5 volts
where Y = value from tables in mV/A/m Unless a particular value of voltage drop, acceptable to the user, is
specified, the IEE Regulations figure of 10.5 volts must be adhered to.
Thus: total volt drop = 10.5 volts
10.5 = Y x 100 x 150
Therefore Y = 10.5/100 x 150
= 0.7/1000 volts/ampere/meters
Reference to the voltage drop tables indicates that the cable size with a voltage drop of 0.7/1000 V/A/m
(0.7mV/A/m) OR LESS is a 70mm copper conductor.
Therefore, in order to transmit a 3 phase current of 100A per phase over a route length of 150m, with a total
voltage drop equal to or less than the statutory maximum 10.5 volts, the use would require a
70mm (cu.) multicore PVC.
Conversely
The user may have 150m of 35mm (Cu.) multicore PVC cable and require to know what maximum current
rating can be applied without exceeding the allowable voltage drop. The method is exactly the same as above,
viz:total drop = 16.6
= YxAxM
= 1.1 x A x 150/1000
from the tables Y = 1.1mV/A/m
=1.1/1000V/A/m
therefore A = 10.5 x 1000/1.1.x 150
=64 amperes
From the foregoing, it is apparent that knowing any two values of Y, A or m, the remaining, unknown value can
readily be calculated.
The advice is always available to check, clarify or suggest the most suitable size and type of cable for any particular, specified requirements.
Voltage Drop for Single Core LV Cables (mV / amp / metre)
Copper Conductor | >Flat Arrangement | Trefoil arrangement | Aluminium conductor | Flat arrangement | Trefoil arrangement |
4 | 7.83 | 7.770 | 16 | 3.343 | 3.283 |
6 | 5.287 | 5.226 | 25 | 2.161 | 2.100 |
10 | 3.184 | 3.124 | 35 | 1.602 | 1.542 |
16 | 2.086 | 2.008 | 50 | 1.222 | 1.162 |
25 | 1.357 | 1.297 | 70 | 0.890 | 0.830 |
35 | 1.034 | 0.971 | 95 | 0.686 | 0.623 |
50 | 0.793 | 0.732 | 120 | 0.569 | 0.509 |
70 | 0.595 | 0.534 | 150 | 0.490 | 0.430 |
95 | 0.469 | 0.408 | 185 | 0.420 | 0.360 |
120 | 0.410 | 0.349 | 240 | 0.353 | 0.293 |
150 | 0.354 | 0.294 | 300 | 0.312 | 0.252 |
185 | 0.312 | 0.252 | 400 | 0.274 | 0.214 |
240 | 0.272 | 0.211 | 400 | 0.245 | 0.185 |
300 | 0.247 | 0.187 | 630 | 0.222 | 0.162 |
400 | 0.224 | 0.164 | |||
500 | 0.208 | 0.148 | |||
630 | 0.194 | 0.134 |
VOLTAGE DROP PER AMPERE PER METER (mV). Conductor operating temperature: 70ºC
Conductor Cross Sectional Area | Two Core Cable D.C. | Two Core Cable SIngle Phase A.C. | Three or Four Core Cable Three phase A.C. | ||||
mm | mV | mV | mV | ||||
1.5 | 29 | 29 | 25 | ||||
2.5 | 18 | 18 | 15 | ||||
4 | 11 | 11 | 9.05 | ||||
6 | 7.3 | 7.3 | 6.04 | ||||
10 | 4.4 | 4.4 | 3.08 | ||||
16 | 2.8 | 2.8 | 2.04 | ||||
r | x | z | r | x | z | ||
25 | 1.75 | 1.75 | 0.170 | 1.75 | 1.50 | 0.145 | 1.50 |
35 | 1.25 | 1.25 | 0.165 | 1.25 | 1.10 | 0.145 | 1.10 |
50 | 0.93 | 0.93 | 0.165 | 0.94 | 0.80 | 0.140 | 0.81 |
70 | 0.63 | 0.63 | 0.160 | 0.65 | 0.55 | 0.140 | 0.57 |
95 | 0.46 | 0.47 | 0.155 | 0.50 | 0.41 | 0.135 | 0.43 |
120 | 0.36 | 0.38 | 0.155 | 0.41 | 0.33 | 0.135 | 0.35 |
150 | 0.29 | 0.30 | 0.155 | 0.34 | 0.26 | 0.130 | 0.29 |
185 | 0.23 | 0.28 | 0.150 | 0.29 | 0.21 | 0.130 | 0.25 |
240 | 0.180 | 0.190 | 0.150 | 0.24 | 0.165 | 0.130 | 0.21 |
300 | 0.145 | 0.155 | 0.145 | 0.21 | 0.136 | 0.130 | 0.185 |
400 | 0.105 | 0.115 | 0.145 | 0.185 | 0.100 | 0.125 | 0.160 |
VOLTAGE DROP PER AMPERE PER METRE (mV). Conductor operating temperature: 70ºc
Conductor Cross-Sectional Area | Two Core Cable D.C. | TWo Core Cable Single Phase A.C. | Three or Four Core Cable Three Phase A.C. | ||||
1 | 2 | 3 | 4 | ||||
Mm | Mv | MV | MV | ||||
16 | 4.5 | 45 | 3.9 | ||||
25 | 2.9 | 29 | 0.175 | 2.9 | 2.5 | 0.150 | 2.5 |
35 | 2.1 | 2.1 | 0.170 | 2.1 | 1.80 | 0.150 | 1.80 |
50 | 1.55 | 1.55 | 0.170 | 1.55 | 1.35 | 0.145 | 1.35 |
70 | 1.05 | 1.05 | 0.165 | 1.05 | 0.90 | 0.140 | 0.92 |
95 | 0.77 | 0.77 | 0.160 | 0.79 | 0.67 | 0.140 | 0.68 |
120 | – | – | 0.53 | 0.135 | 0.55 | ||
150 | – | – | 0.42 | 0.135 | 0.44 | ||
185 | – | – | 0.34 | 0.135 | 0.37 | ||
240 | – | – | 0.26 | 0.130 | 0.30 | ||
300 | – | – | 0.21 | 0.130 | 0.25 |
Tables derive from IEE copyright information
PVC INSULATED 600/1000 VOLT CABLES WITH COPPER CONDUCTORS SUSTAINED CURRENT RATING (AMP) (50Hz) PARAMETERS
Normal Conductor Area | 600/100 VOLT THREE-PHASE SINGLE CORE CABLES IN TREFOIL ARRANGEMENT | |||
mm | Direct Armoured | Duct Armoured | Air Unarmoured | Air Armoured |
50 | 203 | 199 | 184 | 193 |
70 | 248 | 241 | 233 | 249 |
95 | 297 | 282 | 290 | 298 |
120 | 337 | 311 | 338 | 347 |
150 | 376 | 342 | 338 | 395 |
185 | 423 | 375 | 450 | 452 |
240 | 485 | 419 | 537 | 532 |
300 | 542 | 459 | 620 | 607 |
700 | 600 | 489 | 722 | 690 |
500 | 660 | 523 | 832 | 776 |
630 | 721 | 563 | 957 | 869 |
800 | 758 | 587 | 1083 | 937 |
1000 | 797 | 621 | 1260 | 1010 |
APPROXIMATE CURRENT PER LINE OR PHASE TAKEN AT FULL RATED HP BY MOTORS OF AVERAGE EFFICIENCY AND POWER FACTOR
Motor Rating | Direct Current | Alternating Current | |||||
110V | 220V | 550V | 240V | 380V | 415V | 550V | |
HP | amp | amp | amp | amp | amp | amp | amp |
0.5 | 5.7 | 2.8 | 1.1 | 3 | |||
1 | 10 | 5 | 2 | 6 | 1.9 | 1.7 | 1.3 |
2 | 18 | 9 | 3.6 | 10 | 3.6 | 3.3 | 2.5 |
3 | 26 | 13 | 5.2 | 15 | 5.1 | 4.6 | 3.5 |
5 | 42 | 21 | 8.4 | 24 | 8 | 7.3 | 5.5 |
7.5 | 60 | 30 | 12 | 35 | 11.6 | 10.6 | 8 |
10 | 80 | 40 | 16 | 46 | 15.1 | 13.8 | 10.4 |
15 | 117 | 59 | 23 | 67 | 22 | 20 | 16 |
20 | 154 | 77 | 31 | 88 | 29 | 27 | 21 |
25 | 190 | 95 | 38 | 110 | 37 | 34 | 26 |
30 | 227 | 114 | 46 | 130 | 43 | 40 | 30 |
40 | 300 | 150 | 60 | 180 | 59 | 54 | 41 |
50 | 375 | 187 | 75 | 210 | 73 | 67 | 50 |
50 | 445 | 223 | 89 | 253 | 87 | 80 | 60 |
60 | 520 | 260 | 104 | 291 | 102 | 94 | 70 |
80 | 600 | 300 | 120 | 332 | 117 | 107 | 81 |
100 | 740 | 370 | 148 | 412 | 145 | 133 | 100 |
125 | 460 | 184 | 515 | 181 | 166 | 125 | |
150 | 220 | 217 | 199 | 150 | |||
175 | 256 | 253 | 232 | 175 | |||
200 | 292 | 288 | 264 | 199 | |||
250 | 353 | 323 | 244 | ||||
300 | 421 | 385 | 291 |
Useful three phase formulae:
1. kW = kVA x power factor
2. kW = | Line amps x Line volts x 1.73 x p.f. |
1000 |
3. kVA = | kW |
p.f. |
4. Line amps = | kW x 1000 |
Line volts x 1.73 x p.f. |
5. Line amps = | kVA x 1000 |
Line volts x 1.73 |
6. Line amps = | h.p. x 746 |
Line volts x 1.73 x Efficiency x p.f. |
7. kVA = | Line amps x Line volts x 1.73 |
1000 |
8. kW = | h.p. x 746 |
1000 x Efficiency |
9. kVA = | Line amps x Line volts x 1.73 x Efficiency x p.f. |
746 |
10. h.p. = | kW x 1000 x Efficiency |
746 |
11. h.p. = | kVA x 1000 x Efficiency |
746 |
CURRENT RATINGS OF CABLES CLIPPED DIRECT TO SURFACE OR TRAY BUNCHED AND UNENCLOSED
Conductor Size | 2 ONe-Core D.C. | 3 One-Core 4 One-Core | 1 Two Core DV | 1 Three Core 1 Four Core | ||||
One Phase A.C. | Three Phase A.C. | One-Phase A.C. | Three Phase A.C. | |||||
R | P | R | P | R | P | R | P | |
mm2 | amp | amp | amp | amp | amp | amp | amp | amp |
1 | 16 | 13 | 15 | 12 | 14 | 12 | 12 | 10 |
1.5 | 21 | 16 | 19 | 15 | 18 | 15 | 15 | 13 |
2.5 | 29 | 23 | 26 | 20 | 24 | 21 | 21 | 18 |
4 | 38 | 30 | 34 | 27 | 31 | 27 | 27 | 24 |
6 | 49 | 38 | 45 | 34 | 40 | 35 | 35 | 30 |
10 | 67 | 51 | 60 | 46 | 56 | 48 | 48 | 41 |
16 | 90 | 38 | 81 | 61 | 72 | 64 | 64 | 54 |
25 | 115 | 89 | 105 | 80 | 96 | 71 | 84 | 62 |
35 | 145 | 109 | 130 | 98 | 115 | 87 | 100 | 72 |
50 | 205 | 175 | 185 | 160 | 170 | 140 | 150 | 125 |
70 | 260 | 220 | 235 | 200 | 210 | 175 | 185 | 155 |
95 | 320 | 270 | 285 | 240 | 255 | 215 | 225 | 190 |
120 | 370 | 310 | 335 | 280 | 300 | 250 | 260 | 215 |
150 | 420 | 355 | 380 | 320 | 335 | 285 | 300 | 250 |
185 | 480 | 405 | 435 | 365 | 385 | 325 | 345 | 280 |
240 | 570 | 480 | 520 | 430 | 450 | 385 | 400 | 335 |
300 | 660 | 560 | 600 | 500 | 520 | 445 | 460 | 390 |
400 | 770 | 680 | 700 | 610 | ||||
500 | 890 | 800 | 800 | 710 | ||||
630 | 1050 | 910 | 950 | 820 |
CURRENT RATINGS OF CABLES IN CONDUIT OR TRUNKING BUNCHED AND ENCLOSED
Conductor Size | 2 One Core D.C. | 4 One Core | D.C. | Three Phase A.C. | ||||
One Phase AC | Three Phase AC | One Phase AC | ||||||
R | P | R | P | R | P | R | P | |
mm2 | amp | amp | amp | amp | amp | amp | amp | amp |
1 | 14 | 11 | 11 | 9 | 12 | 11 | 10 | 9 |
1.5 | 17 | 13 | 14 | 11 | 15 | 13 | 13 | 12 |
2.5 | 24 | 18 | 20 | 16 | 20 | 18 | 17 | 16 |
4 | 31 | 24 | 27 | 22 | 27 | 24 | 23 | 22 |
6 | 40 | 31 | 35 | 28 | 34 | 30 | 30 | 27 |
10 | 55 | 42 | 49 | 39 | 47 | 40 | 41 | 37 |
16 | 73 | 56 | 66 | 53 | 61 | 53 | 54 | 47 |
25 | 94 | 73 | 89 | 71 | 80 | 60 | 70 | 53 |
35 | 115 | 90 | 110 | 88 | 97 | 74 | 86 | 65 |
50 | 170 | 145 | 145 | 125 | ||||
70 | 215 | 185 | 185 | 160 | ||||
95 | 265 | 230 | 225 | 195 | ||||
120 | 310 | 260 | 260 | 220 | ||||
150 | 350 | 300 |
R = Heat-resisting rubber insulation
P = PVC insulation
MINIMUM SIZE OF EARTH CONDUCTOR (IF NOT CONTAINED IN CABLE)
Size of largest associated copper circuit conductor | Size of Earthing Conductor | Size of Earthing Continuity Conductor | Size of Bonding Lead |
1 | 6 | 1* | 1#* |
1.5 | 6 | 1* | 1#* |
2.5 | 6 | 1* | 1#* |
4 | 6 | 2.5 | 1#* |
6 | 6 | 2.5 | 1#* |
10 | 6 | 6 | 2.5 |
16 | 6 | 6 | 2.5 |
25 | 16 | 16 | 6 |
35 | 16 | 16 | 6 |
50 | 16 | 16 | 6 |
70 | 50 | 50 | 16 |
95 | 50 | 50 | 16 |
120 | 50 | 50 | 16 |
150 | 50 | 50 | 16 |
185 | 70 | 70 | 50 |
240 | 70 | 70 | 50 |
300 | 70 | 70 | 50 |
400 | 70 | 70 | 50 |
500 | 70 | 70 | 50 |
630 | 70 | 70 | 50 |
* 1.5 sq mm where earth conductor in unenclosed
# 2.5 sq mm for bonding other services at entry to premises.
DIAMETERS AND GLAND SIZES OF ARMOURED PVC INSULATED CABLES
Conductor Size | Max. Diameter of Core | No. of Cores | Approximate Diameters | Wire | Recommended Gland Size# | ||
Bedding Sheath | Armour | Oversheath | |||||
Sq. mm | mm | No. of Cores | mm | mm | mm | mm | BS4121 |
14/8 | 26/8 | 2 | 7 | 9 | 11 6/8 | 7/8 | 5/8 |
3 | 73/8 | 9 3/8 | 12 2/8 | 7/8 | 5/8 | ||
4 | 8.1 | 10.1 | 13 | 0.9 | 3/4 S* | ||
5 | 8.9 | 10.9 | 13.8 | 0.9 | 3/4 S | ||
7 | 9.7 | 11.7 | 14.5 | 0.9 | 3/4 S | ||
10 | 12 2/4 | 15 | 18 | 1 1/4 | 3/4 | ||
12 | 12 3/4 | 15 2/4 | 18 2/4 | 1 1/4 | 3/4 | ||
19 | 15.1 | 17.8 | 21.1 | 1.25 | 1 | ||
27 | 18.5 | 22 | 25.4 | 1.6 | 1 | ||
37 | 21 | 24 2/4 | 17 3/4 | 1 2/4 | 1 3/4 | ||
48 | 23 3/4 | 27 1/4 | 30 3/4 | 1 2/4 | 1 3/4 | ||
2.5 | 3.3 | 2 | 8.2 | 10.2 | 13.1 | 0.9 | 3 3/4 S* |
3 | 8.7 | 10.7 | 13.6 | 0.9 | 3 3/4 S | ||
4 | 9.6 | 11.6 | 14.5 | 0.9 | 3 3/4 S | ||
5 | 10.5 | 12.5 | 15.4 | 0.9 | 3 3/4 | ||
7 | 11 2/4 | 12 2/4 | 16 2/4 | 1 | 3/4 | ||
10 | 14.8 | 17.5 | 20.9 | 1.25 | 1 | ||
12 | 15.3 | 18 | 21.4 | 1.25 | 1 | ||
19 | 18.5 | 22 | 25.4 | 1.6 | 1 | ||
27 | 22 | 25 2/4 | 29 1/4 | 1 2/4 | 1 3/4 | ||
37 | 25 | 28 2/4 | 32 2/4 | 1 2/4 | 1 3/4 | ||
48 | 29 | 33 1/2 | 37 1/2 | 2 | 1 1/2 | ||
4 | 4.3 | 2 | 10.2 | 12.2 | 15.1 | 0.9 | 3 3/4 S |
3 | 11 | 13 | 16 | 1 | 3/4 | ||
4 | 12 | 14 3/4 | 17 3/4 | 1 1/4 | 3/4 | ||
5 | 12 1/4 | 16 | 19 | 1 1/4 | 3/4 | ||
7 | 14 2/4 | 17 1/4 | 20 2/4 | 1 1/4 | 1 | ||
10 | 19 1/4 | 22 3/4 | 26 | 1 2/4 | 1 | ||
12 | 19.8 | 23.3 | 26.8 | 1.6 | 1 3/4 | ||
19 | 12 2/4 | 27 | 30 2/4 | 1 2/4 | 1 1/4 | ||
27 | 28 1/2 | 33 | 37 | 2 | 1 1/2 | ||
6 | 5 | 2 | 11 2/4 | 13 2/4 | 16 2/4 | 1 | 3/4 |
3 | 12 1/4 | 12 1/4 | 18 | 1 1/4 | 3/4 | ||
4 | 13 2/4 | 13 2/4 | 19 1/4 | 1 1/4 | 3/4 | ||
10 | 61/4 | 2 | 14 | 16 3/4 | 20 | 1 1/4 | 3/4 |
3 | 15 | 17 3/4 | 21 1/4 | 1 1/4 | 1 | ||
4 | 16 2/4 | 19 1/4 | 22 3/4 | 1 1/4 | 1 | ||
16 | Shaped Conductors | 2 | 13 | 15 2/4 | 19 | 1 1/4 | 3/4 |
3 | 14 2/4 | 14 2/4 | 20 2/4 | 1 1/4 | 1 | ||
4 | 19 3/4 | 16 3/4 | 24 | 1 1/4 | 1 |
#Glands Type BW, CW, D1W, D2W, E1W, E2W.
• A cable made to minimum tolerance may be accommodated in a gland one size smaller.
GLAND SIZING CHART PVC/SWA/PVC CABLES
Size MM Sq | Cores 1 | 2 | 3 | 4 | 5 | 7 | 10 | 12 | 19 | 27 | 37 | 48 |
1.5 | 16/20 | 16/20 | 20S | 20S | 20S | 20L | 20L | 25S | 25L | 32 | 32 | |
2.5 | 20S | 20S | 20S | 20S | 20L | 25S | 25S | 25L | 32 | 32 | 40S | |
4.0 | 20S | 20L | 20L | 20L | 20L | 25L | 32 | 32 | 40S | |||
6.0 | 20L | 20L | 20L | |||||||||
10.0 | 25S | 25S | 25S | |||||||||
16.0 | 25S | 25L | 25L | |||||||||
25.0 | 25S | 32 | 32 | |||||||||
35.0 | 25L | 32 | 32 | |||||||||
50.0 | 32 | 32 | 40S | |||||||||
70.0 | 32 | 40S | 40L | |||||||||
95.0 | 25S | 40S | 40S | 50S | ||||||||
120.0 | 25L | 40S | 40L | 50S | ||||||||
150.0 | 32 | 40L | 50S | 63S | ||||||||
185.0 | 32 | 50S | 50L | 63S | ||||||||
240.0 | 40S | 50L | 63S | 63S | ||||||||
300.0 | 40L | 63S | 63L | 75L | ||||||||
400.0 | 50S | 63L | 75S | 75L | ||||||||
500.0 | 50S | |||||||||||
630.0 | 50L |
The gland sizes tabulated are intended as a guide only and are based on the approximate under armour and
overall diameters.
Cables with aluminium wire must have aluminium glands.
DERATING FACTORS
GROUND TEMPERATURE DERATING FACTORS
AIR TEMPERATURE DERATING FACTOR
Air Temperature oC | 25 | 30 | 35 | 40 | 45 | 50 | 55 |
PVC cables rated at 70oC | 1.22 | 1.15 | 1.08 | 1.00 | 0.95 | 0.82 | 0.71 |
Burial Depth Derating Factor
Ground Temperature oC | 25 | 30 | 35 | 40 | 45 | 50 | 55 |
PVC cables rated 70oC | 1.13 | 1.07 | 1.00 | 0.93 | 0.85 | 0.76 | 0.65 |
Cables Cross Section | |||
Depth of laying mt | up to 70 mm sq | 95mm sq – 240 mm sq | 300 mm sq and above |
0.5 | 1.00 | 1.00 | 1.00 |
0.60 | 0.99 | 0.98 | 0.97 |
0.80 | 0.97 | 0.96 | 0.94 |
1.00 | 0.95 | 0.93 | 0.92 |
1.25 | 0.94 | 0.92 | 0.89 |
1.5 | 0.93 | 0.90 | 0.87 |
1.75 | 0.92 | 0.89 | 0.86 |
2.00 | 0.91 | 0.88 | 0.85 |
SOIL THERMAL RESISTIVITY DERATING FACTOR
Soil thermal resistivity in °C cm / watt | 80 | 90 | 100 | 120 | 150 | 200 | 250 |
Rating factor | 1.17 | 1.12 | 1.07 | 1.0 | 0.91 | 0.80 | 0.73 |
PVC Rated Temperature Derating Factor
Type of PVC rated temperature oC | 70 | 85 | 95 | 105 |
Rating Factor | 1.000 | 1.195 | 1.309 | 1.414 |