Given a three-phase load of 125 MW at power factor of 0.8 lagging, operating at 69kV, with a transmission line efficiency of 97% and voltage regulation of 95%, and the line length of 50 km, design a transmission line system and determine the best conductor configuration, conductor resistance and inductance, and conductor radius values to achieve the efficiency and voltage regulation set. Assume a two-bundled conductor configuration with GMR of 0.0496 m and bundle spacing of 30 cm.

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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Given a three-phase load of 125 MW at power factor of 0.8 lagging, operating at 69kV, with a transmission line efficiency of 97% and voltage regulation of 95%, and the line length of 50 km, design a transmission line system and determine the best conductor configuration,
conductor resistance and inductance, and conductor radius values to achieve the efficiency
and voltage regulation set. Assume a two-bundled conductor configuration with GMR of 0.0496 m and bundle spacing of 30 cm.

TABLE A.3
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
Dc, 20"C, 20°C, a/mi 50*c, Q/mi GMR D, ft Inductive Xa, Capacitive x
10ם
Code word
cmil
in
MO.mi
2/mi
0,476
Al/St
Waxwing
Partridge
Ostrich
Merlin
266.800
266.800
18/1
0,609
0,642
0,680
0,684
0,721
0,741
0,743
0,783
0,814
0,0646
0,0640
0,0569
0,0512
0,0507
0,0504
0,0433
0,0430
0,0361
0,0359
0,0357
0,0355
0,0309
0,0308
0,0307
0,0269
0,0268
0,3488
0,3452
0,3070
0,2767
0,2737
0,2719
0,2342
0,2323
0,1957
0,1943
0,1931
0,1919
0,1679
0,1669
0,1663
0,1461
0,1454
0,1172
0,1188
0,0997
0,0988
0,0924
0,0861
0,0856
0,0762
0,0751
0,0684
0,0673
0,0623
0,0612
0,0476
0,3831
0,3792
0,3372
으3037
0,3006
0,2987
0,2572
0,2551
0,2148
0,2134
0,2120
0,2107
0,1843
0,1832
0,1826
0,1603
0,1596
0,1284
0,1302
0,1092
으1082.
0,1011
0,0941
으,0937
으0832
0,0821
0,0746
으0735
0,0678
으,0667
0,0515
0,0198
0,0217
0,0229
0,0222
0,0243
0,0255
0,0241
0,0264
0,0264
0,1090
으1074
0,1057
0,1055
0,1040
0,1032
0,1031
0,1015
0,1004
0,0992
0,0988
0,0980
0,0981
으,0969
0,0965
0,0950
0,0946
0,0912
0,0925
0,0897
0,0800
0,0885
26/7
0,465
300.000
336.400
26/7
18/1
26/7
30/7
18/1
26/7
18/1
24/7
26/7
30/7
18/1
24/7
25/7
24/7
26/7
0,458
0,462
0,451
0,445
0,452
0,441
0,441
0,432
0,430
0,424
0,432
0,423
Linnet
336.400
Oriole
Chickadee
Ibis
Pelican
Flicker
Hawk
Hen
Osprey
Parakeet
Dove
336.400
397 500
397.500
477.000
477.000
0,846
0,0284
477.000
0,858
0,883
0,879
0,914
0,927
0,977
0,0289
0,0304
0,0284
0,0306
0,0314
0,0327
0,0335
0,0373
0,0352
0,0386
0,0402
0,0402
0,0415
0,0436
0,0444
0,0466
0,0470
으,0494
0,0498
0,0523
0,0586
477.000
2
556.500
556.500
556.500
636.000
636.000
795.000
795.000
954.000
0,420
Rook
Grosbeak
Drake
0,415
0,412
0,399
0,406
0,395
0,390
0,390
0,386
0,380
0,378
0,372
0,371
0,365
0,364
0,358
0,344
0,990
26/7
45/7
45/7
54/7
45/7
45/7
54/19
45/7
54/19
45/7
54/19
45/7
54/19
84/19
1,108
1,063
1,165
1,196
1,213
0,0215
0,0217
0,0181
0,0180
0,0167
0,0155
0,0155
0,0136
0,0135
0,0121
Tern
Rail
Cardinal
Ortolan
Bluejay
Finch
954.000
1.033.500
0,0874
0,0866
0,0855
0,0847
0,0837
0,0829
0,0822
0,0814
0,0776
L113.000
1,259
1.113.000
1,293
1,345
1,382
1,427
1,465
1,502
1,545
1,762
Bittern
1.272.000
3.
Pheasant
Bobolink
Plover
Lapwing
Falcon
Bluebird
1.272.000
1.431.000
1.431.000
0,0120
1.590.000
0,0109
0,0108
0,0080
1.590.000
2,156.000
* Most used multilayer sizes.
** Data, by permission, trom Aluminum Association, Aluminum Electrical Conductor Handbook, 2d ed., Washington, D.C., 1982.
opiado de: 1 Grainger, W.D. Stevensan, Power System Analysis, MeGraw-Hill, 199.
-1/5
Transcribed Image Text:TABLE A.3 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 Dc, 20"C, 20°C, a/mi 50*c, Q/mi GMR D, ft Inductive Xa, Capacitive x 10ם Code word cmil in MO.mi 2/mi 0,476 Al/St Waxwing Partridge Ostrich Merlin 266.800 266.800 18/1 0,609 0,642 0,680 0,684 0,721 0,741 0,743 0,783 0,814 0,0646 0,0640 0,0569 0,0512 0,0507 0,0504 0,0433 0,0430 0,0361 0,0359 0,0357 0,0355 0,0309 0,0308 0,0307 0,0269 0,0268 0,3488 0,3452 0,3070 0,2767 0,2737 0,2719 0,2342 0,2323 0,1957 0,1943 0,1931 0,1919 0,1679 0,1669 0,1663 0,1461 0,1454 0,1172 0,1188 0,0997 0,0988 0,0924 0,0861 0,0856 0,0762 0,0751 0,0684 0,0673 0,0623 0,0612 0,0476 0,3831 0,3792 0,3372 으3037 0,3006 0,2987 0,2572 0,2551 0,2148 0,2134 0,2120 0,2107 0,1843 0,1832 0,1826 0,1603 0,1596 0,1284 0,1302 0,1092 으1082. 0,1011 0,0941 으,0937 으0832 0,0821 0,0746 으0735 0,0678 으,0667 0,0515 0,0198 0,0217 0,0229 0,0222 0,0243 0,0255 0,0241 0,0264 0,0264 0,1090 으1074 0,1057 0,1055 0,1040 0,1032 0,1031 0,1015 0,1004 0,0992 0,0988 0,0980 0,0981 으,0969 0,0965 0,0950 0,0946 0,0912 0,0925 0,0897 0,0800 0,0885 26/7 0,465 300.000 336.400 26/7 18/1 26/7 30/7 18/1 26/7 18/1 24/7 26/7 30/7 18/1 24/7 25/7 24/7 26/7 0,458 0,462 0,451 0,445 0,452 0,441 0,441 0,432 0,430 0,424 0,432 0,423 Linnet 336.400 Oriole Chickadee Ibis Pelican Flicker Hawk Hen Osprey Parakeet Dove 336.400 397 500 397.500 477.000 477.000 0,846 0,0284 477.000 0,858 0,883 0,879 0,914 0,927 0,977 0,0289 0,0304 0,0284 0,0306 0,0314 0,0327 0,0335 0,0373 0,0352 0,0386 0,0402 0,0402 0,0415 0,0436 0,0444 0,0466 0,0470 으,0494 0,0498 0,0523 0,0586 477.000 2 556.500 556.500 556.500 636.000 636.000 795.000 795.000 954.000 0,420 Rook Grosbeak Drake 0,415 0,412 0,399 0,406 0,395 0,390 0,390 0,386 0,380 0,378 0,372 0,371 0,365 0,364 0,358 0,344 0,990 26/7 45/7 45/7 54/7 45/7 45/7 54/19 45/7 54/19 45/7 54/19 45/7 54/19 84/19 1,108 1,063 1,165 1,196 1,213 0,0215 0,0217 0,0181 0,0180 0,0167 0,0155 0,0155 0,0136 0,0135 0,0121 Tern Rail Cardinal Ortolan Bluejay Finch 954.000 1.033.500 0,0874 0,0866 0,0855 0,0847 0,0837 0,0829 0,0822 0,0814 0,0776 L113.000 1,259 1.113.000 1,293 1,345 1,382 1,427 1,465 1,502 1,545 1,762 Bittern 1.272.000 3. Pheasant Bobolink Plover Lapwing Falcon Bluebird 1.272.000 1.431.000 1.431.000 0,0120 1.590.000 0,0109 0,0108 0,0080 1.590.000 2,156.000 * Most used multilayer sizes. ** Data, by permission, trom Aluminum Association, Aluminum Electrical Conductor Handbook, 2d ed., Washington, D.C., 1982. opiado de: 1 Grainger, W.D. Stevensan, Power System Analysis, MeGraw-Hill, 199. -1/5
TABLE AJ
Electrical characteristics of bare aluminum conductors steel-reinforced (ACSR)t
Reistance
Reaetanse per eenduetor
1-ft apesinE 6o la
Ar. 60 He
Caperitive
Layer of outaide
aluminum dinmeter, in o00 n
soc.
Aluminum
Sartine
20C.
OMR
Iaduetive
emil
Wawine
Farteide
Oatrie
Marlin
Limaet
O.
0.042
0.064
0.0040
0.3831
0.372
0.476
0.465
0.438
0.402
0.4
0.443
0.432
0.441
0.441
0,42
0.430
0.34
0.1000
200. H00
300.000
30.400
3M. 400
a. 400
39. 0
397,300
477.000
477.000
477.000
477.000
0.342
0.0217
o.1074
0.3070
0.3372
a.0229
0.1057
a.na12
0.0307
0.0222
0.0243
0.2767
0.273
0.371
0.2342
0.3323
0.721
0.300
0.1040
Oriale
Chickadee
Thie
Feliean
Fieker
30/7
0.741
0.743
0.783
0.2987
0.2372
0.0433
0.02
0.1031
0.0430
24/7
26/7
20/7
0.1943
D. 1931
O.1919
0.1619
0.169
0.0064
0.02
0.029
0.1004
0.0992
0.098
0.516
Haw
0.0339
0.0357
0.2120
Hen
0.424
0.000
Ovpy
Parskeet
0.030s
0.1843
0.432
0.0ORI
0.009
a36, 300
24/7
26/7
24/7
26/7
26/7
45/7
45/7
0.423
6. S00
Deve
0.0314
0.0027
0.0335
0.0373
0.0352
0.420
Rak
Granbeak
Deake
0.977
0.0
D. 160a
0.1596
O. 124
a.14
0.000
0.0946
0.0912
0.0925
G36.000
0.0209
0.0208
0.021s
0.0217
0.143
755.000
763,000
954.000
54.000
0.412
0.399
0.405
0.295
0.390
0.a00
a.1172
0.11M
0.0957
Tern
Hall
Candinal
Ortalan
ilutjay
Finch
1.O3
1.165
1.196
1.213
1.20
1.293
1345
1.382
1.427
0.1302
0.1092
0.0402
0.0402
0.0180
0.0690
45/7
0.0155
0.01ss
0.0024
0.061
0.0830
0.094
0.0937
1.113.000
1.212.000
S4/19
o.a0
istern
Plat
0.0
1.72.000
0.075
0.00
0.0821
0.0746
0372
0.371
0.365
45/7
Babulina
Piover
Lapwine
Falcue
Husbirt
1.431.000
1.431.000
1,390.000
1.290.000
2.156.000
0.0837
0.0820
0.0822
0.0470
a.0120
0.0073
0.063
0.0G12
0.04
43/7
1.302
0.34
0.0067
0.0513
6.03
0.358
0.0814
/19
0.05
0.344
'Most used muitilayer sizes
ata, by pennitsion, trom Amin Aasialiu 4umi ieical Condecto tato 2i si
Washinn DC 12
Transcribed Image Text:TABLE AJ Electrical characteristics of bare aluminum conductors steel-reinforced (ACSR)t Reistance Reaetanse per eenduetor 1-ft apesinE 6o la Ar. 60 He Caperitive Layer of outaide aluminum dinmeter, in o00 n soc. Aluminum Sartine 20C. OMR Iaduetive emil Wawine Farteide Oatrie Marlin Limaet O. 0.042 0.064 0.0040 0.3831 0.372 0.476 0.465 0.438 0.402 0.4 0.443 0.432 0.441 0.441 0,42 0.430 0.34 0.1000 200. H00 300.000 30.400 3M. 400 a. 400 39. 0 397,300 477.000 477.000 477.000 477.000 0.342 0.0217 o.1074 0.3070 0.3372 a.0229 0.1057 a.na12 0.0307 0.0222 0.0243 0.2767 0.273 0.371 0.2342 0.3323 0.721 0.300 0.1040 Oriale Chickadee Thie Feliean Fieker 30/7 0.741 0.743 0.783 0.2987 0.2372 0.0433 0.02 0.1031 0.0430 24/7 26/7 20/7 0.1943 D. 1931 O.1919 0.1619 0.169 0.0064 0.02 0.029 0.1004 0.0992 0.098 0.516 Haw 0.0339 0.0357 0.2120 Hen 0.424 0.000 Ovpy Parskeet 0.030s 0.1843 0.432 0.0ORI 0.009 a36, 300 24/7 26/7 24/7 26/7 26/7 45/7 45/7 0.423 6. S00 Deve 0.0314 0.0027 0.0335 0.0373 0.0352 0.420 Rak Granbeak Deake 0.977 0.0 D. 160a 0.1596 O. 124 a.14 0.000 0.0946 0.0912 0.0925 G36.000 0.0209 0.0208 0.021s 0.0217 0.143 755.000 763,000 954.000 54.000 0.412 0.399 0.405 0.295 0.390 0.a00 a.1172 0.11M 0.0957 Tern Hall Candinal Ortalan ilutjay Finch 1.O3 1.165 1.196 1.213 1.20 1.293 1345 1.382 1.427 0.1302 0.1092 0.0402 0.0402 0.0180 0.0690 45/7 0.0155 0.01ss 0.0024 0.061 0.0830 0.094 0.0937 1.113.000 1.212.000 S4/19 o.a0 istern Plat 0.0 1.72.000 0.075 0.00 0.0821 0.0746 0372 0.371 0.365 45/7 Babulina Piover Lapwine Falcue Husbirt 1.431.000 1.431.000 1,390.000 1.290.000 2.156.000 0.0837 0.0820 0.0822 0.0470 a.0120 0.0073 0.063 0.0G12 0.04 43/7 1.302 0.34 0.0067 0.0513 6.03 0.358 0.0814 /19 0.05 0.344 'Most used muitilayer sizes ata, by pennitsion, trom Amin Aasialiu 4umi ieical Condecto tato 2i si Washinn DC 12
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