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  • Simulate a phase-to-phase fault in a synchronous machine. The fault happens between the neutral point of phase A and mid-point of phase B.
  • The standard parameters of the machine are given below. The machine is rated at 370 MVA, 13.8 kV and has a neutral resistance of 500 Ω. Use the .m file provided immediately after the table.
  • Check the effect of varying the fault location.

Standard machine parameters to be used

S. No.QuantityValue
1Type of rotorSalient Pole
2Frequency (Hz)60
3Number of poles48
6Armature resistance Rs (pu)0.002636
7Armature leakage resistance Xls (pu)0.015
8Direct axis synchronous resistance Xd (pu)0.985
9Quadrature axis synchronous resistance Xq (pu)0.609
10Direct axis transient resistance Xd' (pu)0.340
11Quadrature axis transient reactance Xq' (pu)0.60
12Direct axis sub-transient reactance Xd" (pu)0.249
13Quadrature axis sub-transient reactance Xq" (pu)0.272
14Direct axis transient time constant Tdo' (s)7.348
15Quadrature axis transient time constant Tqo' (s)N/A
16Direct axis sub-transient time constant Tdo"0.075
17Quadrature axis sub-transient time constant Tqo" (s)0.14


MATLAB program file (.m file) giving the winding information of the machine.

48-pole generic hydraulic generator
a = 6;
slot = 540;
conductor = 2;
polarity = 0;
currentConvention = 1;
WO_A1 = [289 279 288 278 287 277 286 276 265 275 266 276 267 277 266 256 265 255 264 254 263 253 242 252 243 253 244 254 245 255 244 234 243 233 242 232 241 231 220 230 221 231 222 232 221 211 220 210 219 209 218 208 197 207 198 208 199 209 200 210];
WO_A2 = [379 369 378 368 377 367 376 366 355 365 356 366 357 367 356 346 355 345 354 344 353 343 332 342 333 343 334 344 335 345 334 324 333 323 332 322 331 321 310 320 311 321 312 322 311 301 310 300 309 299 308 298 287 297 288 298 289 299 290 300];
WO_A3 = [469 459 468 458 467 457 466 456 445 455 446 456 447 457 446 436 445 435 444 434 443 433 422 432 423 433 424 434 425 435 424 414 423 413 422 412 421 411 400 410 401 411 402 412 401 391 400 390 399 389 398 388 377 387 378 388 379 389 380 390];
WO_A4 = [ 19 9 18 8 17 7 16 6 535 5 536 6 537 7 536 526 535 525 534 524 533 523 512 522 513 523 514 524 515 525 514 504 513 503 512 502 511 501 490 500 491 501 492 502 491 481 490 480 489 479 488 478 467 477 468 478 469 479 470 480];
WO_A5 = [109 99 108 98 107 97 106 96 85 95 86 96 87 97 86 76 85 75 84 74 83 73 62 72 63 73 64 74 65 75 64 54 63 53 62 52 61 51 40 50 41 51 42 52 41 31 40 30 39 29 38 28 17 27 18 28 19 29 20 30];
WO_A6 = [199 189 198 188 197 187 196 186 175 185 176 186 177 187 176 166 175 165 174 164 173 163 152 162 153 163 154 164 155 165 154 144 153 143 152 142 151 141 130 140 131 141 132 142 131 121 130 120 129 119 128 118 107 117 108 118 109 119 110 120];
WO_B1 = [296 286 295 285 294 284 293 283 272 282 273 283 274 284 275 285 274 264 273 263 272 262 271 261 250 260 251 261 252 262 251 241 250 240 249 239 248 238 227 237 228 238 229 239 230 240 229 219 228 218 227 217 226 216 205 215 206 216 207 217];
WO_B2 = [386 376 385 375 384 374 383 373 362 372 363 373 364 374 365 375 364 354 363 353 362 352 361 351 340 350 341 351 342 352 341 331 340 330 339 329 338 328 317 327 318 328 319 329 320 330 319 309 318 308 317 307 316 306 295 305 296 306 297 307];
WO_B3 = [476 466 475 465 474 464 473 463 452 462 453 463 454 464 455 465 454 444 453 443 452 442 451 441 430 440 431 441 432 442 431 421 430 420 429 419 428 418 407 417 408 418 409 419 410 420 409 399 408 398 407 397 406 396 385 395 386 396 387 397];
WO_B4 = [ 26 16 25 15 24 14 23 13 2 12 3 13 4 14 5 15 4 534 3 533 2 532 1 531 520 530 521 531 522 532 521 511 520 510 519 509 518 508 497 507 498 508 499 509 500 510 499 489 498 488 497 487 496 486 475 485 476 486 477 487];
WO_B5 = [116 106 115 105 114 104 113 103 92 102 93 103 94 104 95 105 94 84 93 83 92 82 91 81 70 80 71 81 72 82 71 61 70 60 69 59 68 58 47 57 48 58 49 59 50 60 49 39 48 38 47 37 46 36 25 35 26 36 27 37];
WO_B6 = [206 196 205 195 204 194 203 193 182 192 183 193 184 194 185 195 184 174 183 173 182 172 181 171 160 170 161 171 162 172 161 151 160 150 159 149 158 148 137 147 138 148 139 149 140 150 139 129 138 128 137 127 136 126 115 125 116 126 117 127];
WO_C1 = [304 294 303 293 302 292 301 291 280 290 281 291 282 292 281 271 280 270 279 269 278 268 257 267 258 268 259 269 260 270 259 249 258 248 257 247 256 246 235 245 236 246 237 247 236 226 235 225 234 224 233 223 212 222 213 223 214 224 215 225];
WO_C2 = [394 384 393 383 392 382 391 381 370 380 371 381 372 382 371 361 370 360 369 359 368 358 347 357 348 358 349 359 350 360 349 339 348 338 347 337 346 336 325 335 326 336 327 337 326 316 325 315 324 314 323 313 302 312 303 313 304 314 305 315];
WO_C3 = [484 474 483 473 482 472 481 471 460 470 461 471 462 472 461 451 460 450 459 449 458 448 437 447 438 448 439 449 440 450 439 429 438 428 437 427 436 426 415 425 416 426 417 427 416 406 415 405 414 404 413 403 392 402 393 403 394 404 395 405];
WO_C4 = [ 34 24 33 23 32 22 31 21 10 20 11 21 12 22 11 1 10 540 9 539 8 538 527 537 528 538 529 539 530 540 529 519 528 518 527 517 526 516 505 515 506 516 507 517 506 496 505 495 504 494 503 493 482 492 483 493 484 494 485 495];
WO_C5 = [124 114 123 113 122 112 121 111 100 110 101 111 102 112 101 91 100 90 99 89 98 88 77 87 78 88 79 89 80 90 79 69 78 68 77 67 76 66 55 65 56 66 57 67 56 46 55 45 54 44 53 43 32 42 33 43 34 44 35 45];
WO_C6 = [214 204 213 203 212 202 211 201 190 200 191 201 192 202 191 181 190 180 189 179 188 178 167 177 168 178 169 179 170 180 169 159 168 158 167 157 166 156 145 155 146 156 147 157 146 136 145 135 144 134 143 133 122 132 123 133 124 134 125 135];


SOLUTION

  • Open HyperView and HYPERSIM.
  • In the HyperView window, click the SyncMac tab.
  • Enter the standard parameters.
  • Calculate the fundamental parameters in the HyperView tab.
  • Load the .m file in the winding information section.
  • Click the Compute icon.
  • The required results should be in the synchronous machine data report.
  • Finally, apply the parameters to the synchronous machine model in the simulation network.
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