Equivalent circuits and parameters of power system plant
Chapter 5 Equivalent circuits and parameters of power system plant
5.24 OVERHEAD LINE AND CABLE DATA
The following tables show typical data on overhead lines and cables that can be used with the equations in this text. The data shown is only a guide and where the results of calculations are important, data should be sourced directly from a manufacturer or supplier.
Number of Strands GMR
7 0.726r
Table 5.13: GMR for stranded copper, aluminium and aluminium alloy conductors (r = conductor radius)
Number of Layers Number of Al Strands GMR
1 6 0.5r*
Number of Layers Number of Al Strands GMR
4 76 0.793r
4 84 0.801r
* - Indicative values only, since GMR for single layer conductors is affected by cyclic magnetic flux, which depends on various factors.
Table 5.14: GMR for aluminium conductor steel reinforced (ACSR) (r = conductor radius) Table 5.15: Overhead line conductor - hard drawn copper ASTM Standards
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Chapter 5 Equivalent circuits and parameters of power system plant
Table 5.16: Overhead line conductor - hard drawn copper BS StandardsStranding and wire diameter (mm)
Table 5.17: Overhead line conductor data - aluminium conductors steel reinforced (ACSR), to ASTM B232
Stranding and wire diameter (mm)
Table 5.18: Overhead line conductor data - aluminium conductors steel reinforced (ACSR), to BS215.2
Stranding and wire diameter (mm)
Table 5.19: Overhead line conductor data - aluminium conductors steel reinforced (ACSR), to DIN48204
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Stranding and wire diameter (mm)
Table 5.20: Overhead line conductor data - aluminium conductors steel reinforced (ACSR), to NF C34-120
Standard Designation No. of Al
Table 5.21: Overhead line conductor data - aluminium alloy (ASTM)
Standard Designation No. of Al
Table 5.22: Overhead line conductor data - aluminium alloy (BS)
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Chapter 5 Equivalent circuits and parameters of power system plant
Table 5.23: Overhead line conductor data - aluminium alloy (CSA)
Standard Designation No. of Al
Table 5.24: Overhead line conductor data - aluminium alloy (DIN)
Standard Designation No. of Al
Table 5.25: Overhead line conductor data - aluminium alloy (NF)
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Stranding and wire diameter (mm)
Table 5.26: Overhead line conductor data – aluminium alloy conductors, steel re-inforced (AACSR) ASTM
Stranding and wire diameter (mm)
Table 5.27: Overhead line conductor data – aluminium alloy conductors, steel re-inforced (AACSR) DIN
Stranding and wire diameter (mm)
Table 5.28: Overhead line conductor data – aluminium alloy conductors, steel re-inforced (AACSR) NF
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Chapter 5 Equivalent circuits and parameters of power system plant
Cables are solid type 3 core except for those marked *. Impedances are at 50HzTable 5.29: Characteristics of paper insulated cables, conductor size 10 to 150 mm2
Conductor Size (mm2) Cables are solid type 3 core except for those marked *. Impedances are at 50Hz
Table 5.30: Characteristics of paper insulated cables, conductor size 185 to 1000 mm2
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3.3kV Conductor size (mm2)
R /km X /km
16 1.380 0.106
25 0.870 0.100
35 0.627 0.094
50 0.463 0.091
70 0.321 0.086
95 0.232 0.084
120 0.184 0.081
150 0.150 0.079
185 0.121 0.077
240 0.093 0.076
300 0.075 0.075
400 0.060 0.075
*500 0.049 0.089
*630 0.041 0.086
*800 0.035 0.086
*1000 0.030 0.084
3 core copper conductors, 50Hz values.
* - single core cables in trefoil
Table 5.31: 3.3 kV PVC insulated cables
At the conceptual design stage, initial selection of overhead line conductor size is determined by four factors:
x maximum load to be carried in MVA x length of line
x conductor material and hence maximum temperature x cost of losses
gives indicative details of the capability of various sizes of overhead lines using the above factors, for AAAC and ACSR conductor materials. It is based on commonly used standards for voltage drop and ambient temperature. Since these factors may not be appropriate for any particular project, the Table should only be used as a guide for initial sizing, with appropriately detailed calculations carried out to arrive at a final proposal.
Voltage Level
Surge Imped-ance Loading
Voltage Drop Loading
Indicative Thermal Loading
Un kV
Um kV
Cross Sectional Area mm2
Conductors per phase
MVA MWkm MVA A
30 1 0.3 11 2.9 151
50 1 0.3 17 3.9 204
90 1 0.4 23 5.1 268
120 1 0.5 27 6.2 328
11 12
150 1 0.5 30 7.3 383
30 1 1.2 44 5.8 151
50 1 1.2 66 7.8 204
90 1 1.2 92 10.2 268
120 1 1.4 106 12.5 328
22 24
150 1 1.5 119 14.6 383
50 1 2.7 149 11.7 204
90 1 2.7 207 15.3 268
120 1 3.1 239 18.7 328
33 36
150 1 3.5 267 21.9 383
90 1 11 827 41 268
150 1 11 1068 59 383
250 1 11 1240 77 502
66 72.5
250 2 15 1790 153 1004
150 1 44 4070 85 370
250 1 44 4960 115 502
250 2 58 7160 230 1004
400 1 56 6274 160 698
132 145
400 2 73 9057 320 1395
400 1 130 15600 247 648
400 2 184 22062 494 1296
220 245
400 4 260 31200 988 2592
400 2 410 58100 850 1296
400 4 582 82200 1700 2590
550 2 482 68200 1085 1650
380 420
550 3 540 81200 1630 2475
Table 5.32: OHL capabilities
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Chapter 5 Equivalent circuits and parameters of power system plant
5-31 Table 5.33: Overhead line feeder circuit data, ACSR Conductors, 50Hz
X C X C X C X C X C X C X C
mm² /km /km /km /km /km /km nF/km /km nF/km /km nF/km /km nF/km /km nF/km /km nF/km /km nF/km 13.3 2.1586 0.395 0.409 0.420 0.434 0.445 8.7 0.503 7.6 0.513 7.4 0.520 7.3 0.541 7.0 0.528 7.2 0.556 6.8 15.3 1.8771 0.391 0.405 0.415 0.429 0.441 8.8 0.499 7.7 0.508 7.5 0.515 7.4 0.537 7.1 0.523 7.3 0.552 6.9 21.2 1.3557 0.381 0.395 0.405 0.419 0.430 9.0 0.488 7.8 0.498 7.7 0.505 7.6 0.527 7.2 0.513 7.4 0.542 7.0 23.9 1.2013 0.376 0.390 0.401 0.415 0.426 9.1 0.484 7.9 0.494 7.8 0.501 7.6 0.522 7.3 0.509 7.5 0.537 7.1 26.2 1.0930 0.374 0.388 0.398 0.412 0.424 9.2 0.482 8.0 0.491 7.8 0.498 7.7 0.520 7.3 0.506 7.5 0.535 7.1 28.3 1.0246 0.352 0.366 0.377 0.391 0.402 9.4 0.460 8.2 0.470 8.0 0.477 7.8 0.498 7.5 0.485 7.7 0.513 7.3 33.6 0.8535 0.366 0.380 0.390 0.404 0.416 9.4 0.474 8.1 0.484 7.9 0.491 7.8 0.512 7.5 0.499 7.7 0.527 7.2 37.7 0.7647 0.327 0.341 0.351 0.365 0.376 9.7 0.435 8.4 0.444 8.2 0.451 8.1 0.473 7.7 0.459 7.9 0.488 7.4 42.4 0.6768 0.359 0.373 0.383 0.397 0.409 9.6 0.467 8.3 0.476 8.1 0.483 7.9 0.505 7.6 0.491 7.8 0.520 7.3 44.0 0.6516 0.320 0.334 0.344 0.358 0.369 9.9 0.427 8.5 0.437 8.3 0.444 8.2 0.465 7.8 0.452 8.0 0.481 7.5 47.7 0.6042 0.319 0.333 0.344 0.358 0.369 9.9 0.427 8.5 0.437 8.3 0.444 8.2 0.465 7.8 0.452 8.1 0.480 7.6 51.2 0.5634 0.317 0.331 0.341 0.355 0.367 10.0 0.425 8.6 0.434 8.4 0.441 8.2 0.463 7.9 0.449 8.1 0.478 7.6 58.9 0.4894 0.313 0.327 0.337 0.351 0.362 10.1 0.421 8.7 0.430 8.5 0.437 8.3 0.459 7.9 0.445 8.2 0.474 7.7 63.1 0.4545 0.346 0.360 0.371 0.385 0.396 9.9 0.454 8.5 0.464 8.3 0.471 8.2 0.492 7.8 0.479 8.0 0.507 7.5 67.4 0.4255 0.344 0.358 0.369 0.383 0.394 10.0 0.452 8.5 0.462 8.3 0.469 8.2 0.490 7.8 0.477 8.1 0.505 7.6 73.4 0.3930 0.306 0.320 0.330 0.344 0.356 10.3 0.414 8.8 0.423 8.6 0.430 8.5 0.452 8.1 0.438 8.3 0.467 7.8 79.2 0.3622 0.339 0.353 0.363 0.377 0.389 10.1 0.447 8.7 0.457 8.4 0.464 8.3 0.485 7.9 0.472 8.2 0.500 7.6 85.0 0.3374 0.337 0.351 0.361 0.375 0.387 10.2 0.445 8.7 0.454 8.5 0.461 8.4 0.483 7.9 0.469 8.2 0.498 7.7 94.4 0.3054 0.302 0.316 0.327 0.341 0.352 10.3 0.410 8.8 0.420 8.6 0.427 8.4 0.448 8.0 0.435 8.3 0.463 7.8 105.0 0.2733 0.330 0.344 0.355 0.369 0.380 10.4 0.438 8.8 0.448 8.6 0.455 8.5 0.476 8.1 0.463 8.3 0.491 7.8 121.6 0.2371 0.294 0.308 0.318 0.332 0.344 10.6 0.402 9.0 0.412 8.8 0.419 8.6 0.440 8.2 0.427 8.4 0.455 7.9 127.9 0.2254 0.290 0.304 0.314 0.328 0.340 10.7 0.398 9.0 0.407 8.8 0.414 8.7 0.436 8.2 0.422 8.5 0.451 8.0 131.2 0.2197 0.289 0.303 0.313 0.327 0.339 10.7 0.397 9.1 0.407 8.8 0.414 8.7 0.435 8.3 0.421 8.5 0.450 8.0 135.2 0.2133 0.297 0.311 0.322 0.336 0.347 10.5 0.405 9.0 0.415 8.8 0.422 8.6 0.443 8.2 0.430 8.4 0.458 7.9 148.9 0.1937 0.288 0.302 0.312 0.326 0.338 10.8 0.396 9.1 0.406 8.9 0.413 8.7 0.434 8.3 0.420 8.6 0.449 8.0 158.7 0.1814 0.292 0.306 0.316 0.330 0.342 10.7 0.400 9.1 0.410 8.9 0.417 8.7 0.438 8.3 0.425 8.5 0.453 8.0 170.5 0.1691 0.290 0.304 0.314 0.328 0.340 10.8 0.398 9.1 0.407 8.9 0.414 8.8 0.436 8.3 0.422 8.6 0.451 8.0 184.2 0.1565 0.287 0.302 0.312 0.326 0.337 10.9 0.395 9.2 0.405 9.0 0.412 8.8 0.433 8.4 0.420 8.6 0.449 8.1 201.4 0.1438 0.280 0.294 0.304 0.318 0.330 11.0 0.388 9.3 0.398 9.1 0.405 8.9 0.426 8.5 0.412 8.8 0.441 8.2 210.6 0.1366 0.283 0.297 0.308 0.322 0.333 11.0 0.391 9.3 0.401 9.1 0.408 8.9 0.429 8.4 0.416 8.7 0.444 8.1 221.7 0.1307 0.274 0.288 0.298 0.312 0.323 11.3 0.381 9.5 0.391 9.3 0.398 9.1 0.419 8.6 0.406 8.9 0.435 8.3 230.9 0.1249 0.276 0.290 0.300 0.314 0.326 11.2 0.384 9.4 0.393 9.2 0.400 9.0 0.422 8.6 0.408 8.9 0.437 8.3 241.7 0.1193 0.279 0.293 0.303 0.317 0.329 11.2 0.387 9.4 0.396 9.2 0.403 9.0 0.425 8.5 0.411 8.8 0.440 8.2 263.7 0.1093 0.272 0.286 0.296 0.310 0.321 11.3 0.380 9.5 0.389 9.3 0.396 9.1 0.418 8.6 0.404 8.9 0.433 8.3 282.0 0.1022 0.274 0.288 0.298 0.312 0.324 11.3 0.382 9.5 0.392 9.3 0.399 9.1 0.420 8.6 0.406 8.9 0.435 8.3 306.6 0.0945 0.267 0.281 0.291 0.305 0.317 11.5 0.375 9.7 0.384 9.4 0.391 9.2 0.413 8.7 0.399 9.1 0.428 8.4 322.3 0.0895 0.270 0.284 0.294 0.308 0.320 11.5 0.378 9.6 0.387 9.4 0.394 9.2 0.416 8.7 0.402 9.0 0.431 8.4 339.3 0.0850 0.265 0.279 0.289 0.303 0.315 11.6 0.373 9.7 0.383 9.5 0.390 9.3 0.411 8.8 0.398 9.1 0.426 8.5 362.6 0.0799 0.262 0.276 0.286 0.300 0.311 11.7 0.369 9.8 0.379 9.6 0.386 9.4 0.408 8.9 0.394 9.2 0.423 8.5 386.0 0.0747 0.261 0.275 0.285 0.299 0.311 11.8 0.369 9.8 0.379 9.6 0.386 9.4 0.407 8.9 0.393 9.2 0.422 8.6 402.8 0.0719 0.261 0.275 0.285 0.299 0.310 11.8 0.368 9.9 0.378 9.6 0.385 9.4 0.407 8.9 0.393 9.2 0.422 8.6 428.9 0.0671 0.267 0.281 0.291 0.305 0.316 11.5 0.374 9.7 0.384 9.4 0.391 9.2 0.413 8.7 0.399 9.0 0.428 8.4 448.7 0.0642 0.257 0.271 0.281 0.295 0.306 11.9 0.364 10.0 0.374 9.7 0.381 9.5 0.402 9.0 0.389 9.3 0.418 8.7 456.1 0.0635 0.257 0.271 0.281 0.295 0.307 12.0 0.365 10.0 0.374 9.7 0.381 9.5 0.403 9.0 0.389 9.3 0.418 8.7 483.4 0.0599 0.255 0.269 0.279 0.293 0.305 12.0 0.363 10.0 0.372 9.8 0.379 9.6 0.401 9.0 0.387 9.4 0.416 8.7 494.4 0.0583 0.254 0.268 0.279 0.293 0.304 12.1 0.362 10.0 0.372 9.8 0.379 9.6 0.400 9.0 0.387 9.4 0.415 8.7 510.5 0.0565 0.252 0.266 0.277 0.291 0.302 12.1 0.360 10.1 0.370 9.8 0.377 9.6 0.398 9.1 0.385 9.4 0.413 8.7 523.7 0.0553 0.252 0.266 0.277 0.291 0.302 12.1 0.360 10.1 0.370 9.8 0.377 9.6 0.398 9.1 0.385 9.4 0.413 8.7 Double triangle Flat circuit
132kV 66kV
Flat circuit Double vertical Triangle Double vertical Sectional area
of Al RDC (20°C)
XAC at 50 Hz
3.3kV 6.6kV 11kV 22kV
XAC at 50 Hz and shunt capacitance
33kV
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Table 5.34: Overhead line feeder circuit data, ACSR Conductors, 60Hz
X X X X X C X C X C X C X C X C X C
mm² /km /km /km /km /km /km /km nF/km /km nF/km /km nF/km /km nF/km /km nF/km /km nF/km /km nF/km 13.3 2.1586 2.159 0.474 0.491 0.503 0.520 0.534 8.7 0.604 7.6 0.615 7.4 0.624 7.3 0.649 7.0 0.633 7.2 0.668 6.8 15.3 1.8771 1.877 0.469 0.486 0.498 0.515 0.529 8.8 0.598 7.7 0.610 7.5 0.619 7.4 0.644 7.1 0.628 7.3 0.662 6.9 21.2 1.3557 1.356 0.457 0.474 0.486 0.503 0.516 9.0 0.586 7.8 0.598 7.7 0.606 7.6 0.632 7.2 0.616 7.4 0.650 7.0 23.9 1.2013 1.201 0.452 0.469 0.481 0.498 0.511 9.1 0.581 7.9 0.593 7.8 0.601 7.6 0.627 7.3 0.611 7.5 0.645 7.1 26.2 1.0930 1.093 0.449 0.466 0.478 0.495 0.508 9.2 0.578 8.0 0.590 7.8 0.598 7.7 0.624 7.3 0.608 7.5 0.642 7.1 28.3 1.0246 1.025 0.423 0.440 0.452 0.469 0.483 9.4 0.552 8.2 0.564 8.0 0.572 7.8 0.598 7.5 0.582 7.7 0.616 7.3 33.6 0.8535 0.854 0.439 0.456 0.468 0.485 0.499 9.4 0.569 8.1 0.580 7.9 0.589 7.8 0.614 7.5 0.598 7.7 0.633 7.2 37.7 0.7647 0.765 0.392 0.409 0.421 0.438 0.452 9.7 0.521 8.4 0.533 8.2 0.541 8.1 0.567 7.7 0.551 7.9 0.585 7.4 42.4 0.6768 0.677 0.431 0.447 0.460 0.477 0.490 9.6 0.560 8.3 0.572 8.1 0.580 7.9 0.606 7.6 0.589 7.8 0.624 7.3 44.0 0.6516 0.652 0.384 0.400 0.413 0.429 0.443 9.9 0.513 8.5 0.525 8.3 0.533 8.2 0.559 7.8 0.542 8.0 0.577 7.5 47.7 0.6042 0.604 0.383 0.400 0.412 0.429 0.443 9.9 0.513 8.5 0.524 8.3 0.533 8.2 0.558 7.8 0.542 8.1 0.576 7.6 51.2 0.5634 0.564 0.380 0.397 0.409 0.426 0.440 10.0 0.510 8.6 0.521 8.4 0.530 8.2 0.555 7.9 0.539 8.1 0.573 7.6 58.9 0.4894 0.490 0.375 0.392 0.404 0.421 0.435 10.1 0.505 8.7 0.516 8.5 0.525 8.3 0.550 7.9 0.534 8.2 0.568 7.7 63.1 0.4545 0.455 0.416 0.432 0.445 0.462 0.475 9.9 0.545 8.5 0.557 8.3 0.565 8.2 0.591 7.8 0.574 8.0 0.609 7.5 67.4 0.4255 0.426 0.413 0.430 0.442 0.459 0.473 10.0 0.543 8.5 0.554 8.3 0.563 8.2 0.588 7.8 0.572 8.1 0.606 7.6 73.4 0.3930 0.393 0.367 0.384 0.396 0.413 0.427 10.3 0.496 8.8 0.508 8.6 0.516 8.5 0.542 8.1 0.526 8.3 0.560 7.8 79.2 0.3622 0.362 0.407 0.424 0.436 0.453 0.467 10.1 0.536 8.7 0.548 8.4 0.556 8.3 0.582 7.9 0.566 8.2 0.600 7.6 85.0 0.3374 0.338 0.404 0.421 0.433 0.450 0.464 10.2 0.534 8.7 0.545 8.5 0.554 8.4 0.579 7.9 0.563 8.2 0.598 7.7 94.4 0.3054 0.306 0.363 0.380 0.392 0.409 0.423 10.3 0.492 8.8 0.504 8.6 0.512 8.4 0.538 8.0 0.522 8.3 0.556 7.8 105.0 0.2733 0.274 0.396 0.413 0.426 0.442 0.456 10.4 0.526 8.8 0.537 8.6 0.546 8.5 0.572 8.1 0.555 8.3 0.590 7.8 121.6 0.2371 0.238 0.353 0.370 0.382 0.399 0.413 10.6 0.482 9.0 0.494 8.8 0.502 8.6 0.528 8.2 0.512 8.4 0.546 7.9 127.9 0.2254 0.226 0.348 0.365 0.377 0.394 0.408 10.7 0.477 9.0 0.489 8.8 0.497 8.7 0.523 8.2 0.507 8.5 0.541 8.0 131.2 0.2197 0.220 0.347 0.364 0.376 0.393 0.407 10.7 0.476 9.1 0.488 8.8 0.496 8.7 0.522 8.3 0.506 8.5 0.540 8.0 135.2 0.2133 0.214 0.357 0.374 0.386 0.403 0.416 10.5 0.486 9.0 0.498 8.8 0.506 8.6 0.532 8.2 0.516 8.4 0.550 7.9 148.9 0.1937 0.194 0.346 0.362 0.375 0.392 0.405 10.8 0.475 9.1 0.487 8.9 0.495 8.7 0.521 8.3 0.504 8.6 0.539 8.0 158.7 0.1814 0.182 0.351 0.367 0.380 0.397 0.410 10.7 0.480 9.1 0.492 8.9 0.500 8.7 0.526 8.3 0.509 8.5 0.544 8.0 170.5 0.1691 0.170 0.348 0.365 0.377 0.394 0.408 10.8 0.477 9.1 0.489 8.9 0.497 8.8 0.523 8.3 0.507 8.6 0.541 8.0 184.2 0.1565 0.157 0.345 0.362 0.374 0.391 0.405 10.9 0.474 9.2 0.486 9.0 0.494 8.8 0.520 8.4 0.504 8.6 0.538 8.1 201.4 0.1438 0.145 0.336 0.353 0.365 0.382 0.396 11.0 0.466 9.3 0.477 9.1 0.486 8.9 0.511 8.5 0.495 8.8 0.529 8.2 210.6 0.1366 0.137 0.340 0.357 0.369 0.386 0.400 11.0 0.469 9.3 0.481 9.1 0.489 8.9 0.515 8.4 0.499 8.7 0.533 8.1 221.7 0.1307 0.132 0.328 0.345 0.357 0.374 0.388 11.3 0.458 9.5 0.469 9.3 0.478 9.1 0.503 8.6 0.487 8.9 0.522 8.3 230.9 0.1249 0.126 0.331 0.348 0.360 0.377 0.391 11.2 0.460 9.4 0.472 9.2 0.480 9.0 0.506 8.6 0.490 8.9 0.524 8.3 241.7 0.1193 0.120 0.335 0.351 0.364 0.381 0.394 11.2 0.464 9.4 0.476 9.2 0.484 9.0 0.510 8.5 0.493 8.8 0.528 8.2 263.7 0.1093 0.110 0.326 0.343 0.355 0.372 0.386 11.3 0.455 9.5 0.467 9.3 0.476 9.1 0.501 8.6 0.485 8.9 0.519 8.3 282.0 0.1022 0.103 0.329 0.346 0.358 0.375 0.389 11.3 0.458 9.5 0.470 9.3 0.478 9.1 0.504 8.6 0.488 8.9 0.522 8.3 306.6 0.0945 0.096 0.320 0.337 0.349 0.366 0.380 11.5 0.450 9.7 0.461 9.4 0.470 9.2 0.495 8.7 0.479 9.1 0.514 8.4 322.3 0.0895 0.091 0.324 0.341 0.353 0.370 0.384 11.5 0.453 9.6 0.465 9.4 0.473 9.2 0.499 8.7 0.483 9.0 0.517 8.4 339.3 0.0850 0.086 0.318 0.335 0.347 0.364 0.378 11.6 0.448 9.7 0.459 9.5 0.468 9.3 0.493 8.8 0.477 9.1 0.511 8.5 362.6 0.0799 0.081 0.314 0.331 0.343 0.360 0.374 11.7 0.443 9.8 0.455 9.6 0.463 9.4 0.489 8.9 0.473 9.2 0.507 8.5 386.0 0.0747 0.076 0.313 0.330 0.342 0.359 0.373 11.8 0.443 9.8 0.454 9.6 0.463 9.4 0.488 8.9 0.472 9.2 0.506 8.6 402.8 0.0719 0.074 0.313 0.330 0.342 0.359 0.372 11.8 0.442 9.9 0.454 9.6 0.462 9.4 0.488 8.9 0.472 9.2 0.506 8.6 428.9 0.0671 0.069 0.320 0.337 0.349 0.366 0.380 11.5 0.449 9.7 0.461 9.4 0.469 9.2 0.495 8.7 0.479 9.0 0.513 8.4 448.7 0.0642 0.066 0.308 0.325 0.337 0.354 0.367 11.9 0.437 10.0 0.449 9.7 0.457 9.5 0.483 9.0 0.467 9.3 0.501 8.7 456.1 0.0635 0.065 0.305 0.322 0.334 0.351 0.364 12.0 0.434 10.0 0.446 9.7 0.454 9.6 0.480 9.0 0.463 9.4 0.498 8.7 483.4 0.0599 0.062 0.306 0.323 0.335 0.352 0.366 12.0 0.435 10.0 0.447 9.8 0.455 9.6 0.481 9.0 0.465 9.4 0.499 8.7 494.4 0.0583 0.060 0.305 0.322 0.334 0.351 0.365 12.1 0.435 10.0 0.446 9.8 0.455 9.6 0.480 9.0 0.464 9.4 0.498 8.7 510.5 0.0565 0.059 0.303 0.320 0.332 0.349 0.362 12.1 0.432 10.1 0.444 9.8 0.452 9.6 0.478 9.1 0.462 9.4 0.496 8.7 523.7 0.0553 0.057 0.303 0.320 0.332 0.349 0.363 12.1 0.432 10.1 0.444 9.8 0.452 9.6 0.478 9.1 0.462 9.4 0.496 8.7 Sectional 66kV
area of Al
RDC (20°C) RAC at 60Hz
& 20° C
XAC at 60 Hz .
3.3kV 6.6kV 11kV 22kV
XAC at 60 Hz and shunt capacitance
33kV Flat circuit Double vertical Triangle Double vertical Double triangle Flat circuit 132kV
© 2011 Alstom Grid. Single copies of this document may be filed or printed for personal non-commercial use and must include this copyright notice but may not be copied or displayed for commercial purposes without the prior written permission of Alstom Grid.
Chapter 5 Equivalent circuits and parameters of power system plant
5-33 Table 5.35: Characteristics of polyethylene insulated cables (XLPE),
copper conductors (50Hz)
5.25 REFERENCES
[5.1] Physical significance of sub-subtransient quantities in dynamic behaviour of synchronous machines. I.M.
Canay. Proc. IEE, Vol. 135, Pt. B, November 1988.
[5.2] IEC 60034-4. Methods for determining synchronous machine quantities from tests.
[5.3] IEEE Standards 115/115A. IEEE Test Procedures for Synchronous Machines.
[5.4] Power System Analysis. J.R. Mortlock and M.W.
Humphrey Davies. Chapman & Hall, London.
25 35 50 70 95 120 150 185 240 300 400 *500 *630 *800 *1000 *1200 *1600
Series Resistance R (/km) 0.927 0.669 0.494 0.342 0.247 0.196 0.158 0.127 0.098 0.08 0.064 0.051 0.042 Series Reactance X (/km) 0.097 0.092 0.089 0.083 0.08 0.078 0.076 0.075 0.073 0.072 0.071 0.088 0.086 Susceptance C (mS/km) 0.059 0.067 0.079 0.09 0.104 0.111 0.122 0.133 0.146 0.16 0.179 0.19 0.202 Series Resistance R (/km) 0.927 0.669 0.494 0.342 0.247 0.196 0.158 0.127 0.098 0.08 0.064 0.057 0.042 Series Reactance X (/km) 0.121 0.113 0.108 0.102 0.096 0.093 0.091 0.088 0.086 0.085 0.083 0.088 0.086 Susceptance C (mS/km) 0.085 0.095 0.104 0.12 0.136 0.149 0.16 0.177 0.189 0.195 0.204 0.205 0.228 Series Resistance R (/km) 0.927 0.669 0.494 0.342 0.247 0.196 0.158 0.127 0.098 0.08 0.064 0.051 0.042 Series Reactance X (/km) 0.128 0.119 0.114 0.107 0.101 0.098 0.095 0.092 0.089 0.087 0.084 0.089 0.086 Susceptance C (mS/km) 0.068 0.074 0.082 0.094 0.105 0.115 0.123 0.135 0.15 0.165 0.182 0.194 0.216 Series Resistance R (/km) - 0.669 0.494 0.348 0.247 0.196 0.158 0.127 0.098 0.08 0.064 0.051 0.042 Series Reactance X (/km) - 0.136 0.129 0.121 0.114 0.11 0.107 0.103 0.1 0.094 0.091 0.096 0.093 Susceptance C (mS/km) 0.053 0.057 0.065 0.072 0.078 0.084 0.091 0.1 0.109 0.12 0.128 0.141 Series Resistance R (/km) - 0.669 0.494 0.348 0.247 0.196 0.158 0.127 0.098 0.08 0.064 0.051 0.042 Series Reactance X (/km) - 0.15 0.143 0.134 0.127 0.122 0.118 0.114 0.109 0.105 0.102 0.103 0.1
Susceptance C (mS/km) 0.042 0.045 0.05 0.055 0.059 0.063 0.068 0.075 0.081 0.089 0.094 0.103
Series Resistance R (/km) - - - - - - - - - - - 0.0387 0.031 0.0254 0.0215
Series Reactance X (/km) - - - - - - - - - - - 0.117 0.113 0.109 0.102
Susceptance C (mS/km) 0.079 0.082 0.088 0.11
Series Resistance R (/km) - - - - - - - - - - - 0.0387 0.031 0.0254 0.0215
Series Reactance X (/km) - - - - - - - - - - - 0.13 0.125 0.12 0.115
Susceptance C (mS/km) 0.053 0.06 0.063 0.072
Series Resistance R (/km) 0.0487 0.0387 0.0310 0.0254 0.0215 0.0161 0.0126
Series Reactance X (/km) 0.145 0.137 0.134 0.128 0.123 0.119 0.113
Susceptance C (mS/km) 0.044 0.047 0.05 0.057 0.057 0.063 0.072
Series Resistance R (/km) 0.0310 0.0254 0.0215 0.0161 0.0126
Series Reactance X (/km) 0.172 0.162 0.156 0.151 0.144
Susceptance C (mS/km) 0.04 0.047 0.05 0.057 0.063
Conductor size mm2
22kV
245kV*
3.3kV
6.6kV
11kV
420kV*
33kV
66kV*
145kV*
© 2011 Alstom Grid. Single copies of this document may be filed or printed for personal non-commercial use and must include this copyright notice but may not be copied or displayed for commercial purposes without the prior written permission of Alstom Grid.
© 2011 Alstom Grid. Single copies of this document may be filed or printed for personal non-commercial use and must include this copyright notice but may not be copied or displayed for commercial purposes without the prior written permission of Alstom Grid.
Alstom Grid 6-1