A solid cylindrical aluminum conductor with length in the range of 10km~25 km has a cross sectional area of 10cm2. Determine the conductor resistance at 20 °C.
A solid cylindrical aluminum conductor with length in the range of 10km~25 km has a cross sectional area of 10cm2. Determine the conductor resistance at 20 °C.
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.1P: The Aluminum Electrical Conductor Handbook lists a dc resistance of 0.01558 ohm per 1000 ft at 20C...
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Transcribed Image Text:APPENDIX
Electrical characteristics of bare aluminum conductors steel-reinforced (ACSR)*
Resistance
Ac, 60 Hz
Reactance per conductor 1-ft
spacing, 60 Hz
Aluminum area, Stranding Layers of Outside diameter,
aluminum
Code word
Dc, 20°C, 20°C, Q/mi 50°C, Q/mi GMR D, ft | Inductive X, Capacitive X
cmil
A/St
in
0/1,000t
Q/mi
ΜΩ.mi
Waxwing
Partridge
Ostrich
Merlin
Linnet
Oriole
Chickadee
Ibis
Pelican
Flicker
Hawk
Hen
Osprey
Parakeet
18/1
0,3488
0,3452
0,3831
0,3792
0,3372
266.800
0,609
0,0646
0,0198
0,476
0,1090
266.800
26/7
0,642
0,0640
0,0217
0,465
0,1074
300.000
26/7
0,680
0,0569
0,3070
0,0229
0,458
0,1057
336.400
336.400
0,684
0,721
0,2767
0,2737
0,3037
0,3006
0,462
0,451
18/1
2
0,0512
0,0222
0,1055
26/7
2
0,0507
0,0243
0,1040
336.400
30/7
0,741
0,0504
0,2719
0,2987
0,0255
0,445
0,1032
18/1
0,0433
397.500
397.500
0,1031
0,1015
2
0,743
0,2342
0,2572
0,0241
0,452
26/7
2
0,783
0,0430
0,2323
0,2551
0,0264
0,441
477.000
18/1
2
0,814
0,0361
0,1957
0,2148
0.0264
0,441
0,1004
0,0359
0,0357
477.000
0,0284
0,432
24/7
26/7
2
0,846
0,1943
0,2134
0,0992
477.000
2
0,858
0,1931
0,2120
0,0289
0,430
0,0988
477.000
30/7
0,883
0,0355
0,1919
0,2107
0.0304
0,424
0,0980
18/1
24/7
556.500
0,0284
0,0306
0,879
0,0309
0,1679
0,1843
0,432
0,0981
556.500
0,914
0,0308
0,1669
0,1832
0,423
0,0969
Dove
Rook
Grosbeak
Drake
Tern
Rail
556.500
26/7
0,927
0,0307
0,1663
0,1826
0,0314
0,420
0,0965
0,415
0,412
636.000
24/7
2
0,977
0,0269
0,0268
0,1461
0,1603
0,0327
0,0335
0,0950
0,990
1,108
0,1596
0,1284
0,1302
636.000
26/7
0,1454
0,0946
795.000
26/7
0,0215
0.1172
0,0373
0,399
0,0912
795.000
954.000
0,0217
0,0181
45/7
3
1,063
0,1188
0,0352
0,406
0,0925
45/7
3
1,165
0,0997
0,1092
0,0386
0,395
0,0897
Cardinal
Ortolan
Bluejay
Finch
Bittern
Pheasant
Bobolink
Plover
Lapwing
Falcon
Bluebird
54/7
45/7
45/7
954.000
3
1,196
0,0180
0,0988
0,1082
0,0402
0,390
0,0800
1.033.500
1,213
0,0167
0,0924
0,1011
0,390
0,0885
0,0402
0,0415
1.113.000
3
1,259
0,0155
0,0861
0,0941
0,386
0,0874
1.113.000
54/19
0,0856
0,0436
0,380
0,0866
0,0855
1,293
0,0155
0.0937
1.272.000
45/7
1,345
0,0136
0,0762
0,0832
0,0444
0,378
1.272.000
54/19
3
1,382
0,0135
0,0751
0,0821
0,0466
0,372
0,0847
45/7
0,0684
0,371
0,365
1.431.000
1,427
0,0121
0,0746
0,0470
0,0837
1.431.000
54/19
3
1,465
0,0120
0,0673
0,0735
0,0494
0,0829
1.590.000
45/7
3
1,502
0,0109
0,0623
0,0678
0,0498
0,364
0,0822
54/19
84/19
1.590.000
3
1,545
0,358
0,0814
0,0108
0,0080
0,0612
0,0667
0,0523
2.156.000
4
1,762
0,0476
0,0515
0,0586
0,344
0,0776
Figure 8: Electrical Characteristics of ASCR
Transcribed Image Text:Question 2
a) A solid cylindrical aluminum conductor with length in the range of 10km~25 km has
a cross sectional area of 10cm2. Determine the conductor resistance at 20 °C.
b) Two transmission line circuits (circuit A and circuit B) that run parallel to each other
is shown in per Figure 3. Circuit A consists of three conductors with the radius in
the range of 0.70~0.90 cm. Circuit B consists of two conductors with the radius in
the range of 0.20~0.50 cm. Determine the GMD, GMR for each circuit, inductance
for each circuit, and total inductance per meter.
-15cm
a
a'
10cm
10cm
b'
Circuit B
Circuit A
Figure 3: Transmission line conductor configuration for Question 2(b)
c) A three phase transmission line operated at 60HZ is arranged as shown in Figure
4. The conductors are the ASCR Pheasant. By using the conductor's characteristic
in the Appendix section, determine the total inductive reactance per mile of the
transmission line. Assume the length of the transmission line is in the range of
15-35 km.
10m
10m
15m-
Figure 4: Transmission line conductor configuration for Question 2(c)
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