Choice of electric cable by calculation
For dimensioning the phase cross section area for the submersible motor need the following information:
• V: Rated voltage (V)
• I: Motor current (A)
• L: Length of cable (km)
• cos φ: power factor
• Ambient temperature (°C)
The choice of the minimum cross section area of the phase conductor is determined by the rated motor current and the values reported in Table 1.
Table 1
Type of cable*
four-wires cable
four-wires cable
four-wires cable
four-wires cable
four-wires cable
four-wires cable
four-wires cable
four-wires cable
single-wire cable
single-wire cable
single-wire cable
single-wire cable
single-wire cable
single-wire cable
single-wire cable
Cable cross
section
mm2
1.5
2.5
4
6
10
16
25
35
50
70
95
120
150
185
240
Maximum cable current
1 Ader
A
1)
A
2)
18
24
32
41
57
76
96
119
167
216
264
308
356
409
485
2 Ader
A
3)
15
20
27
35
48
65
82
101
142
184
224
262
303
348
412
Resistance
R at 80°C
ohm/km
4)
15.1
9.08
5.63
3.73
2.27
1.43
0.91
0.65
0.473
0.328
0.236
0.188
0.153
0.123
0.094
Reactance
X at 60Hz
ohm/km
4)
0,170
0,157
0,145
0,138
0,124
0,118
0,116
0,113
0,145
0,139
0,142
0,136
0,134
0,131
0,132
1)
IEC 60364-5-52:2009 Tab.B52.4 / C
2)
IEC 60364-5-52:2009 Tab.B52.6
3)
1)x0,85 IEC 60364-5-52:2009 Tab.B52.17 ITEM2
4)
UNEL 35023-70
* Up to 35 mm
2
sections four-wire cable are used, from 50 mm
2
single core cables are recommended as well.Tab.1
The maximum current of the cables listed in Table 1 are for ambient temperature of 30 ° C.
When the temperature is different, the maximum current of the cables should be corrected by a factor given in Table 2.
The cross section area of the phase conductor is choosen by checking the voltage drop along the line , through the following equation:
DU% = 1,73*I*L*(R*cos φ+X*sen φ)/(V*1000)
DU% the voltage drop should not be greater than 3%
R, X = cable resistance and reactance in ohms/km (indicated in Table 1)
senφ = √ 1-(cosφ)2
In case of star / delta starting the rated current of the motor should be divided by 1.73.
Determination of minimal sections of the protective conductor PE.
Table 2 (IEC 60364-5-52:2009 Tab.B.52.14)
Ambient Temperature °C
Correction factor
10
1,22
15
1,17
20
1,12
25
1,06
30
1
35
0,94
40
0,87
45
0,79
50
0,71
55
0,61
60
0,5
Table 3 (CEI 64-8:2007 Tab.54F)
Phase cross section area
S
mm2
PE cross section area
SPE
mm2
S ≤ 16
S
16 < S ≤ 25
16
S > 25
S/2
399