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.

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 4.46P
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Use ACSR Pheasant from table above and required assumption 

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)
Transcribed Image Text: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)
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: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
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