Appendix F

Appendix F DESCRIPTION Fig. F.1 presents a widely used correlation to calculate the voltage drop in usual electrical submersible pump cables.

EXAMPLE PROBLEM Find the three-phase voltage drop in a 5,000-ft-long AWG #2 size submersible cable with copper conductors if the motor current is 80 A and the average cable temperature is 200
F.

SOLUTION At a current of 80 A and AWG #2 cable size the specific voltage drop is read from the chart as DV=1;000 ft ¼ 23 V=1;000 ft. The total voltage drop at 77
F is found next: DV ¼ 23  5;000=1;000 ¼ 115 V. The correction factor for the actual cable temperature of 200
F is found from the table on the chart as Correction ¼ 1:27: The total voltage drop across the cable at the operating temperature is calculated as DVcorr ¼ 1:27  115 ¼ 146 V.

Electrical Submersible Pumps Manual. http://dx.doi.org/10.1016/B978-0-12-814570-8.15006-8 Copyright © 2018 Elsevier Inc. All rights reserved.

495

50

No. 4 Cu

496 Appendix F

No. 6 Cu

No. 2 Cu

45

No. 1 Cu

Voltage Drop in Cable, V/1,000 ft

40

35

30 V / 1,000 ft Recommended Voltage Drop Limit

30

25

Temperature Correction Factors

20

Temp, F 131 149 167 185 203 221 239 257 275 293 302

15

10

Three Phase Voltage Drop in ESP Cables Cable Temp = 77 F Correct Values for Other Cable Temperatures

5

Factor 1.12 1.15 1.19 1.23 1.27 1.31 1.35 1.39 1.42 1.46 1.48

0 0

10

20

30

40

50

60

70

80

90

100

110

120

130

140

150

160

170

180

190

200

210

Current, Amps FIGURE F.1 Typical values of voltage drops in copper conductors. ESP, electrical submersible pump.

220

230

240

250