A. Network Parameters Network parameters and general data for the IEEE 118-bus test system are described as follows. Fig. 1. IEEE 118-Bus Test System One-Line Diagram U Bus No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 12 25 26 31 46 49 54 59 61 65 66 69 80 87 92 100 103 111 Pg (MW) 450 85 220 314 7 19 204 48 155 160 391 392 513.48 477 4 607 252 40 36 Qg (MVar) -5 91.27 49.72 9.89 31.57 -5.25 115.63 3.9 76.83 -40.39 80.76 -1.95 -82.39 104.9 11.02 0.49 108.87 41.69 -1.84 TABLE I GENERATOR DATA Marginal Cost Pmax ($/MWh) (MW) 0.217 550 1.052 185 0.434 320 0.308 414 5.882 107 3.448 119 0.467 304 1.724 148 0.606 255 0.588 260 0.2493 491 0.2487 492 0.1897 805.2 0.205 577 7.142 104 10 1100 0.381 352 2 140 2.173 136 Pmin (MW) 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Qmax (MVar) 200 120 140 1000 300 100 210 300 180 300 200 200 300 280 1000 9 155 40 1000 Qmin (MVar) -147 -35 -47 -1000 -300 -100 -85 -300 -60 -100 -67 -67 -300 -165 -100 -3 -50 -15 -100 TABLE II BUS DATA Bus No. 1 2 3 4 5 6 7 8 9 10 11 12 Conductance (G) (mhos) 0 0 0 0 0 0 0 0 0 0 0 0 Susceptance (B) (mhos) 0 0 0 0 -40 0 0 0 0 0 0 0 Base Voltage (kV) Voltage-Max (pu) Voltage-Min (pu) 138 138 138 138 138 138 138 345 345 345 138 138 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 0 0 -25 0 0 0 0 0 0 10 10 10 0 15 0 0 0 0 0 138 138 138 138 138 138 138 138 138 138 138 138 138 345 138 138 138 345 138 138 138 138 138 138 138 345 138 138 138 138 138 138 138 138 138 138 138 138 138 138 138 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 0 0 0 0 20 0 0 20 10 0 0 0 0 0 0 0 0 0 0 0 138 138 138 138 138 138 138 138 138 345 345 345 138 138 345 138 138 138 138 138 138 138 138 138 138 138 138 345 138 138 138 138 138 161 138 138 138 138 138 138 138 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20 0 6 0 0 6 0 0 0 0 0 0 0 0 138 138 138 138 138 138 138 138 138 138 138 138 138 138 138 138 138 138 138 138 138 138 138 138 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 1.06 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 0.94 TABLE III TRANSMISSION LINE DATA Line No. From Bus To Bus R (pu) X (pu) β (pu) 1 2 3 4 5 6 7 8 9 10 11 12 1 1 2 3 3 4 4 5 5 6 7 8 2 3 12 5 12 5 11 6 11 7 12 9 0.0303 0.0129 0.0187 0.0241 0.0484 0.0017 0.0209 0.0119 0.0203 0.0045 0.0086 0.0024 0.0999 0.0424 0.0616 0.108 0.16 0.00798 0.0688 0.054 0.0682 0.0208 0.034 0.0305 10.01001001 23.58490566 16.23376623 9.259259259 62.5 125.3132832 14.53488372 18.51851852 14.6627566 48.07692308 29.41176471 32.78688525 Flow Limit (MW) 270 270 270 270 270 490 270 270 270 270 270 1150 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 8 9 11 11 12 12 12 13 14 15 15 15 16 17 17 17 18 19 19 20 21 22 23 23 23 24 24 25 26 26 27 27 27 28 29 30 30 31 32 32 5 30 10 12 13 15 17 117 15 15 17 19 33 17 19 31 113 19 20 34 21 22 23 24 25 32 70 72 27 25 30 28 32 115 31 31 17 38 32 113 114 0 0.0043 0.0025 0.0059 0.0222 0.0215 0.0212 0.0329 0.0744 0.0595 0.0132 0.012 0.038 0.0454 0.0123 0.0474 0.0091 0.0111 0.0252 0.0752 0.0183 0.0209 0.0342 0.0135 0.0156 0.0317 0.0022 0.0488 0.0318 0 0.0079 0.0191 0.0229 0.0164 0.0237 0.0108 0 0.0046 0.0298 0.0615 0.0135 0.0267 0.0504 0.0322 0.0196 0.0731 0.0707 0.0834 0.14 0.2444 0.195 0.0437 0.0394 0.1244 0.1801 0.0505 0.1563 0.0301 0.0493 0.117 0.247 0.0849 0.097 0.159 0.0492 0.080 0.1153 0.4115 0.196 0.163 0.0382 0.086 0.0855 0.0755 0.0741 0.0943 0.0331 0.0388 0.054 0.0985 0.203 0.0612 37.45318352 19.84126984 31.05590062 51.02040816 13.67989056 14.14427157 11.99040767 7.142857143 4.091653028 5.128205128 22.88329519 25.38071066 8.038585209 5.55247085 19.8019802 6.397952655 33.22259136 20.28397566 8.547008547 4.048582996 11.77856302 10.30927835 6.289308176 20.32520325 12.5 8.673026886 2.430133657 5.102040816 6.134969325 26.17801047 11.62790698 11.69590643 13.24503311 13.49527665 10.60445387 30.21148036 25.77319588 18.51851852 10.15228426 4.926108374 16.33986928 930 270 1150 270 270 270 270 270 270 270 490 270 270 270 270 270 270 270 270 270 270 270 270 270 490 270 270 270 490 370 710 270 270 270 270 270 710 270 270 270 270 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 33 34 34 34 35 35 37 37 38 38 39 40 40 41 42 42 43 44 45 45 46 46 47 47 48 49 49 49 49 49 49 49 50 51 51 52 53 54 54 54 55 37 36 37 43 36 37 39 40 37 65 40 41 42 42 49 49 44 45 46 49 47 48 49 69 49 50 51 54 54 66 66 69 57 52 58 53 54 55 56 59 56 0.0415 0.0087 0.0025 0.0413 0.0022 0.011 0.0321 0.0593 0 0.009 0.0184 0.0145 0.0555 0.041 0.0715 0.0715 0.0608 0.0224 0.04 0.0684 0.038 0.0601 0.0191 0.0844 0.0179 0.0267 0.0486 0.073 0.0869 0.018 0.018 0.0985 0.0474 0.0203 0.0255 0.0405 0.0263 0.0169 0.0027 0.0503 0.0048 0.142 0.0268 0.00940 0.1681 0.0102 0.0497 0.106 0.168 0.0375 0.0986 0.0605 0.0487 0.183 0.135 0.323 0.323 0.2454 0.0901 0.1356 0.186 0.127 0.189 0.0625 0.2778 0.0505 0.0752 0.137 0.289 0.291 0.0919 0.0919 0.324 0.134 0.0588 0.0719 0.1635 0.122 0.0707 0.00955 0.2293 0.0151 7.042253521 37.31343284 106.3829787 5.948839976 98.03921569 20.12072435 9.433962264 5.952380952 26.66666667 10.14198783 16.52892562 20.5338809 5.464480874 7.407407407 3.095975232 3.095975232 4.074979625 11.09877913 7.374631268 5.376344086 7.874015748 5.291005291 16 3.599712023 19.8019802 13.29787234 7.299270073 3.460207612 3.436426117 10.88139282 10.88139282 3.086419753 7.462686567 17.00680272 13.90820584 6.116207951 8.196721311 14.14427157 104.7120419 4.361098997 66.22516556 270 270 490 270 270 270 270 270 710 490 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 270 490 490 270 270 270 270 270 270 270 270 270 270 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 55 56 56 56 56 59 59 60 60 61 62 62 63 63 64 64 65 65 66 68 68 68 69 69 69 70 70 70 71 71 74 75 75 76 76 77 77 77 77 78 79 59 57 58 59 59 60 61 61 62 62 66 67 59 64 61 65 66 68 67 69 81 116 70 75 77 71 74 75 72 73 75 77 118 77 118 78 80 80 82 79 80 0.0473 0.0343 0.0343 0.0825 0.0803 0.0317 0.0328 0.00260 0.0123 0.0082 0.0482 0.0258 0 0.0017 0 0.0026 0 0.0013 0.0224 0 0.0017 0.0003 0.03 0.0405 0.0309 0.0088 0.0401 0.0428 0.0446 0.0086 0.0123 0.0601 0.0145 0.0444 0.0164 0.0037 0.017 0.0294 0.0298 0.0054 0.0156 0.2158 0.0966 0.0966 0.251 0.239 0.145 0.150 0.0135 0.0561 0.0376 0.218 0.117 0.0386 0.0200 0.0268 0.0302 0.0370 0.016 0.1015 0.0370 0.0202 0.00405 0.127 0.122 0.101 0.0355 0.1323 0.141 0.180 0.0454 0.0406 0.1999 0.0481 0.148 0.0544 0.0124 0.0485 0.105 0.0853 0.0244 0.0704 4.633920297 10.35196687 10.35196687 3.984063745 4.184100418 6.896551724 6.666666667 74.07407407 17.82531194 26.59574468 4.587155963 8.547008547 25.90673575 50 37.31343284 33.11258278 27.02702703 62.5 9.852216749 27.02702703 49.5049505 246.9135802 7.874015748 8.196721311 9.900990099 28.16901408 7.558578987 7.092198582 5.555555556 22.02643172 24.63054187 5.002501251 20.79002079 6.756756757 18.38235294 80.64516129 20.6185567 9.523809524 11.72332943 40.98360656 14.20454545 270 270 270 270 270 270 270 490 270 270 270 270 490 490 270 490 270 270 270 490 270 490 490 490 270 270 270 270 270 270 270 270 270 270 270 270 490 270 370 270 270 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 80 80 80 80 81 82 82 83 83 84 85 85 85 86 88 89 89 89 90 91 92 92 92 92 93 94 94 94 95 96 98 99 100 100 100 100 101 103 103 103 104 96 97 98 99 80 83 96 84 85 85 86 88 89 87 89 90 91 92 91 92 93 94 100 102 94 95 96 100 96 97 100 100 101 103 104 106 102 104 105 110 105 0.0356 0.0183 0.0238 0.0454 0 0.0112 0.0162 0.0625 0.0430 0.0302 0.0350 0.0200 0.0239 0.0282 0.0139 0.0518 0.00990 0.00990 0.0254 0.0387 0.0258 0.0481 0.0648 0.0123 0.0223 0.0132 0.0269 0.0178 0.0171 0.0173 0.0397 0.0180 0.0277 0.0160 0.0451 0.0605 0.0246 0.0466 0.0535 0.0390 0.00990 0.182 0.0934 0.108 0.206 0.0370 0.03665 0.0530 0.132 0.148 0.0641 0.123 0.102 0.173 0.2074 0.0712 0.0320 0.0320 0.0505 0.0505 0.1272 0.0320 0.158 0.295 0.0559 0.0732 0.0434 0.0869 0.0580 0.0547 0.0885 0.179 0.0813 0.1262 0.0525 0.204 0.229 0.112 0.1584 0.1625 0.1813 0.0378 5.494505495 10.70663812 9.259259259 4.854368932 27.02702703 27.2851296 18.86792453 7.575757576 6.756756757 15.60062402 8.130081301 9.803921569 5.780346821 4.821600771 14.04494382 31.25 31.25 19.8019802 6.325110689 19.8019802 7.86163522 31.25 6.329113924 3.389830508 17.88908766 13.66120219 23.04147465 11.50747986 17.24137931 18.28153565 11.29943503 5.586592179 12.300123 7.923930269 19.04761905 4.901960784 4.366812227 8.928571429 6.313131313 6.153846154 5.515719801 270 270 270 270 270 370 270 270 270 270 270 270 270 270 490 810 270 370 710 470 270 810 270 270 270 270 370 270 270 570 270 270 270 490 270 270 270 270 270 270 270 177 178 179 180 181 182 183 184 185 Transformer No. 1 2 3 4 5 6 7 8 9 105 105 105 106 108 109 110 110 114 From Bus 8 26 30 38 63 64 65 68 81 106 107 108 107 109 110 111 112 115 0.0140 0.0530 0.0261 0.0530 0.0105 0.0278 0.0220 0.0247 0.0023 0.0547 0.183 0.0703 0.183 0.0288 0.0762 0.0755 0.0640 0.0104 26.45502646 18.28153565 5.464480874 14.22475107 5.464480874 34.72222222 13.12335958 13.24503311 15.625 TABLE IV TAP CHANGING TRANSFORMER DATA To Circuit Tap Tap Tap Bus ID Initial Max Min 5 1 0.985 0 0 25 1 0.96 0 0 17 1 0.96 0 0 37 1 0.935 0 0 59 1 0.96 0 0 61 1 0.985 0 0 66 1 0.935 0 0 69 1 0.935 0 0 80 1 0.935 0 0 Bus No. 1 2 3 4 6 7 8 11 12 13 14 TABLE V LOAD DATA Pd Qd (MW) (MVar) 51 27 20 9 39 10 39 12 52 22 19 2 28 0 70 23 47 10 34 16 14 1 VOLL ($/MWh) 4822.6 5600.331 3144.692 5017.304 4691.259 3715.387 4239.845 4705.575 6647.038 6161.662 3690.068 Angle Initial 0 0 0 0 0 0 0 0 3.57 270 270 270 270 270 270 370 270 270 Angle Max 0 0 0 0 0 0 0 0 -15 Angle Min 0 0 0 0 0 0 0 0 15 15 16 17 18 19 20 21 22 23 24 27 28 29 31 32 33 34 35 36 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 90 25 11 60 45 18 14 10 7 13 71 17 24 43 59 23 59 33 31 27 66 37 96 18 16 53 28 34 20 87 17 17 18 23 113 63 84 12 12 277 78 30 10 3 34 25 3 8 5 3 0 13 7 4 27 23 9 26 9 17 11 23 10 23 7 8 22 10 0 11 30 4 8 5 11 32 22 18 3 3 113 3 6320.954 4935.243 4462.167 4928.846 4377.02 4425.513 5393.819 5345.421 5350.315 4902.898 3775.508 4930.343 2478.141 4793.336 5120.816 4936.131 4317.935 4676.323 4027.63 5033.037 3811.758 3858.678 4014.301 2733.43 2363.028 4695.114 4047.043 5322.179 3473.09 4438.655 4355.132 4691.524 4687.715 3981.072 4481.969 4401.073 4876.624 5155.959 5165.564 3981.808 4546.415 62 66 67 70 72 73 74 75 76 77 78 79 80 82 83 84 85 86 88 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 112 77 39 28 66 12 6 68 47 68 61 71 39 130 54 20 11 24 21 48 440 10 65 12 30 42 38 15 34 42 37 22 5 23 38 31 43 50 2 8 39 68 14 18 7 20 0 0 27 11 36 28 26 32 26 27 10 7 15 10 10 42 0 10 7 16 31 15 9 8 0 18 15 3 16 25 26 16 12 1 3 30 13 3771.53 3831.9 4495.89 5419.578 4038.2 4722.827 2364.649 5170.414 3846.561 2519.534 3831.516 5160.366 5426.527 4551.559 3605.046 4054.619 3863.051 5910.274 4130.639 4948.846 4384.549 5033.166 4041.09 3658.639 3646.574 3792.916 4393.575 4382.368 5351.586 4674.951 4618.687 5452.619 2017.32 4917.975 5001.053 4353.771 2629.402 3800.494 3811.228 4562.925 4933.352 113 114 115 116 117 118 6 8 22 184 20 33 0 3 7 0 8 15 5051.295 4099.866 4612.399 3450.503 1340.186 4236.62 B. Dynamic Data The generator stability and ramping data employed is presented in Table VI. Parameter X d (p.u.) TABLE VI GENERATOR PARAMETERS USED IN THE ANALYSIS OF THE IEEE 118-BUS TEST SYSTEM [2] Value Parameter X q (p.u.) 1.8 Value 1.7 X d (p.u.) 0.3 X q (p.u.) 0.55 X d (p.u.) 0.25 X q (p.u.) 0.25 Tdo (p.u.) 8 Tdo (p.u.) H (sec.) Tqo (p.u.) 0.4 Tqo (p.u.) 0.03 0.05 3.4 for all the generators except for generators at bus#69 and bus#89. 5 & 4 for generators at bus#69 and bus#89, respectively. Generator # 1 2 3 4 5 6 7 8 9 10 11 12 Bus # 10 12 25 26 31 46 49 54 59 61 65 66 MVA Ratings (MW) 591 300 300 591 192 192 300 155 300 300 591 591 Minutes to Fully Ramp Generator Type 30 12 20 30 12 12 20 12 20 20 30 30 S* G** CC*** S G G CC G CC CC S S 13 14 15 16 17 18 19 69 80 87 89 100 103 111 800 591 155 620 400 155 155 60 30 12 12 20 12 12 S S G G CC G G * S: Steam Turbine ** G: Gas Turbine *** CC: Combined-Cycle [1] [2] H. B. Plittgen, “Computational Cycle Time Evaluation for Steady State Power Flow Calculations,” Report Prepared for Thomson-CSF, Division Simulateurs, School of Electrical Engineering, Georgia Institute of Technology, Dec. 1985, [Online]. Available: https://smartech.gatech.edu/jspui/bitstream/1853/35556/2/e-21-675_302129_fr.pdf. P. Kundur, Power System Stability and Control, McGraw-Hill, 1994. C. Reliability Data TABLE VII GENERATING UNIT RELIABILITY DATA U FOR (%) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0.10 0.10 0.02 0.02 0.10 0.10 0.02 0.02 0.04 0.04 0.04 0.05 0.05 0.05 0.02 0.02 0.02 0.02 0.04 TABLE VIII TRANSMISSION LINE RELIABILITY DATA Line No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 From Bus 1 1 2 3 3 4 4 5 5 6 7 8 8 8 9 11 11 12 12 12 13 14 15 15 15 16 17 17 17 18 19 19 20 21 22 23 To Bus 2 3 12 5 12 5 11 6 11 7 12 9 5 30 10 12 13 15 17 117 15 15 17 19 33 17 19 31 113 19 20 34 21 22 23 24 FOR (%) 0.000438 0.000582 0.000376 0.000445 0.000548 0.000434 0.00175 0.00041 0.000388 0.001317 0.000342 0.000502 0.000502 0.00175 0.00175 0.00175 0.00175 0.000502 0.000489 0.000502 0.000652 0.000615 0.000477 0.000414 0.000514 0.000514 0.000514 0.000439 0.000427 0.000402 0.000678 0.000439 0.000439 0.000477 0.000477 0.000427 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 23 23 24 24 25 26 26 27 27 27 28 29 30 30 31 32 32 33 34 34 34 35 35 37 37 38 38 39 40 40 41 42 42 43 44 45 45 46 46 47 47 25 32 70 72 27 25 30 28 32 115 31 31 17 38 32 113 114 37 36 37 43 36 37 39 40 37 65 40 41 42 42 49 49 44 45 46 49 47 48 49 69 0.000427 0.000565 0.000438 0.000582 0.000376 0.000445 0.000548 0.000434 0.00175 0.00041 0.000388 0.001317 0.000342 0.000502 0.000502 0.00175 0.00175 0.00175 0.00175 0.000502 0.000489 0.000502 0.000652 0.000615 0.000477 0.000414 0.000514 0.000514 0.000514 0.000439 0.000427 0.000402 0.000678 0.000439 0.000439 0.000477 0.000477 0.000427 0.000427 0.000565 0.000438 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 48 49 49 49 49 49 49 49 50 51 51 52 53 54 54 54 55 55 56 56 56 56 59 59 60 60 61 62 62 63 63 64 64 65 65 66 68 68 68 69 69 49 50 51 54 54 66 66 69 57 52 58 53 54 55 56 59 56 59 57 58 59 59 60 61 61 62 62 66 67 59 64 61 65 66 68 67 69 81 116 70 75 0.000438 0.000582 0.000376 0.000445 0.000548 0.000434 0.00175 0.00041 0.000388 0.001317 0.000342 0.000502 0.000502 0.00175 0.00175 0.00175 0.00175 0.000502 0.000489 0.000502 0.000652 0.000615 0.000477 0.000414 0.000514 0.000514 0.000514 0.000439 0.000427 0.000402 0.000678 0.000439 0.000439 0.000477 0.000477 0.000427 0.000427 0.000565 0.000438 0.000438 0.000582 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 69 70 70 70 71 71 74 75 75 76 76 77 77 77 77 78 79 80 80 80 80 81 82 82 83 83 84 85 85 85 86 88 89 89 89 90 91 92 92 92 92 77 71 74 75 72 73 75 77 118 77 118 78 80 80 82 79 80 96 97 98 99 80 83 96 84 85 85 86 88 89 87 89 90 91 92 91 92 93 94 100 102 0.000376 0.000445 0.000548 0.000434 0.00175 0.00041 0.000388 0.001317 0.000342 0.000502 0.000502 0.00175 0.00175 0.00175 0.00175 0.000502 0.000489 0.000502 0.000652 0.000615 0.000477 0.000414 0.000514 0.000514 0.000514 0.000439 0.000427 0.000402 0.000678 0.000439 0.000439 0.000477 0.000477 0.000427 0.000427 0.000565 0.000438 0.000438 0.000582 0.000376 0.000445 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 93 94 94 94 95 96 98 99 100 100 100 100 101 103 103 103 104 105 105 105 106 108 109 110 110 114 94 95 96 100 96 97 100 100 101 103 104 106 102 104 105 110 105 106 107 108 107 109 110 111 112 115 0.000548 0.000434 0.00175 0.00041 0.000388 0.001317 0.000342 0.000502 0.000502 0.00175 0.00175 0.00175 0.00175 0.000502 0.000489 0.000502 0.000652 0.000615 0.000477 0.000414 0.000514 0.000514 0.000514 0.000439 0.000427 0.000402 D. Wind Data TABLE IX WIND FARMS AND WIND POWER FORECAST Wind Farm # 1 2 3 4 Host Bus 57 78 97 111 Wind Power Forecast (μ) (MW) 225.95 225.95 225.95 225.95 Wind Power Standard Deviation (MW) 22.8 22.8 22.8 22.8