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Result_LosslessDCOPF.dat
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ampl: model LosslessDCOPF.mod;
Presolve eliminates 339 constraints and 3 variables.
Adjusted problem:
289 variables, all linear
193 constraints, all linear; 696 nonzeros
193 equality constraints
1 linear objective; 78 nonzeros.
Gurobi 9.1.1: mipgap = 0.0
Gurobi 9.1.1: optimal solution; objective 183198.78
60 simplex iterations
_solve_system_time = 0.015625
_solve_user_time = 0
_total_solve_time = 0.015625
Cost = 183199
bus_angle [*] :=
1 -0.322178 16 0.074179 31 -0.854252 46 0.194497 61 -0.528881
2 -0.324692 17 0.132895 32 -0.778002 47 -0.0526262 62 -0.377823
3 -0.261051 18 0.146573 33 -0.512863 48 -0.19562 63 -0.102745
4 -0.360559 19 0.066354 34 -0.554741 49 -0.642683 64 -0.123808
5 -0.368937 20 0.0745696 35 -0.375209 50 -0.646629 65 -0.0420822
6 -0.410549 21 0.150563 36 -0.366678 51 -0.536682 66 -0.0179904
7 -0.563259 22 0.267434 37 -0.331087 52 -0.686613 67 -0.138226
8 -0.525739 23 0.0849292 38 -0.255222 53 -0.698828 68 -0.135744
9 -0.312971 24 -0.0488662 39 -0.0313141 54 -0.745897 69 0
10 -0.354867 25 -0.522086 40 -0.0392333 55 -0.988885 70 0.107274
11 -0.190684 26 -0.524598 41 0.0500065 56 -0.912635 71 -0.128538
12 -0.178152 27 -0.461038 42 0.0721863 57 -0.642395 72 -0.268662
13 -0.130318 28 -0.560458 43 -0.0573415 58 -0.694475 73 -0.104841
14 -0.100269 29 -0.568829 44 -0.0580677 59 -0.524879
15 0.0824861 30 -0.610431 45 0.0840718 60 -0.51424
;
gen_supply [*] :=
1 0 14 1.97 27 0.5 40 0.76 53 0 66 3.5 79 0.49 92 0.5
2 0 15 0 28 0.5 41 0.76 54 1.55 67 0 80 1.97 93 0.5
3 0.76 16 0 29 0.5 42 0 55 1.55 68 0 81 0 94 0.5
4 0.76 17 0 30 0.5 43 0 56 4 69 0.76 82 0 95 0.5
5 0 18 0 31 1.55 44 0 57 4 70 0.76 83 0 96 0.5
6 0 19 0 32 1.55 45 1.97 58 0.5 71 0 84 0 97 1.55
7 0.76 20 0 33 3.5 46 1.97 59 0.5 72 0 85 0 98 1.55
8 0.76 21 1.55 34 0 47 1.97 60 0.5 73 0.76 86 0 99 3.5
9 0 22 1.55 35 0 48 0 61 0.5 74 0.76 87 1.55
10 0 23 4 36 0.76 49 0 62 0.5 75 0 88 1.55
11 0 24 4 37 0.76 50 0 63 0.5 76 0 89 4
12 1.97 25 0.5 38 0 51 0 64 1.55 77 0 90 4
13 1.97 26 0.5 39 0 52 0 65 1.55 78 0 91 0.5
;
line_flow [*] :=
1 0.179592 31 0.340218 61 -0.741489 91 -1.63782
2 -0.289702 32 -0.976982 62 -3.23765 92 -1.32218
3 0.55011 33 -1.28132 63 -3.2007 93 -1.39899
4 0.282419 34 -0.153491 64 -3.66083 94 -1.52565
5 0.447173 35 -0.153491 65 0.465837 95 -2.01899
6 0.436304 36 -0.205391 66 -2.35481 96 -2.14565
7 -2.52601 37 -0.205391 67 -2.35481 97 0.0833585
8 -0.457581 38 -0.470891 68 3.15974 98 -3.50134
9 -0.15989 39 -0.470891 69 -3.4323 99 0.305008
10 -0.912827 40 -1.71868 70 0.787312 100 -3.97631
11 -0.615089 41 0.471929 71 -1.58427 101 -4.60163
12 -0.634911 42 0.17941 72 -1.3761 102 -4.30534
13 -1.2895 43 -0.289325 73 -0.457136 103 1.23897
14 -1.03559 44 0.549914 74 -0.457136 104 -2.09684
15 -1.4558 45 0.282361 75 0.0181558 105 -2.09684
16 -1.60498 46 0.447049 76 0.0181558 106 3.19071
17 -1.95456 47 0.435502 77 -0.247344 107 -3.14328
18 -2.10374 48 -3.15974 78 -0.247344 108 0.626905
19 -1.25762 49 -0.457639 79 -1.6239 109 -1.72084
20 -2.15274 50 -0.160086 80 0.281847 110 -1.42244
21 -0.996545 51 -0.912951 81 -0.502374 111 -0.691939
22 -2.71218 52 -1.25 82 0.660527 112 -0.691939
23 -2.47411 53 -1.6069 83 0.31483 113 -0.0620476
24 -1.32005 54 -1.3531 84 0.517017 114 -0.0620476
25 -2.95674 55 -1.63874 85 0.888341 115 -0.327548
26 0.488656 56 -1.7403 86 -3.19071 116 -0.327548
27 -1.38933 57 -2.13729 87 -0.42517 117 -1.57756
28 -1.38933 58 -2.23884 88 -0.0494728 118 -2.63304
29 2.52601 59 -0.919208 89 -0.842983 119 0.333036
30 -2.2583 60 -2.85683 90 -1.25 120 -2.63304
;
Presolve eliminates 339 constraints and 316 variables.
Adjusted problem:
289 variables, all linear
193 constraints, all linear; 696 nonzeros
193 equality constraints
1 linear objective; 78 nonzeros.
PowerBal.dual [*] :=
1 7475 11 7475 21 7475 31 7475 41 7475 51 7475 61 7475 71 7475
2 7475 12 7475 22 7475 32 7475 42 7475 52 7475 62 7475 72 7475
3 7475 13 7475 23 7475 33 7475 43 7475 53 7475 63 7475 73 7475
4 7475 14 7475 24 7475 34 7475 44 7475 54 7475 64 7475
5 7475 15 7475 25 7475 35 7475 45 7475 55 7475 65 7475
6 7475 16 7475 26 7475 36 7475 46 7475 56 7475 66 7475
7 7475 17 7475 27 7475 37 7475 47 7475 57 7475 67 7475
8 7475 18 7475 28 7475 38 7475 48 7475 58 7475 68 7475
9 7475 19 7475 29 7475 39 7475 49 7475 59 7475 69 7475
10 7475 20 7475 30 7475 40 7475 50 7475 60 7475 70 7475
;
sum{i in BUS} PlossBus[i] = 2.65487
sum{j in BRANCH} PlossLine[j] = 2.65487
PlossBus [*] :=
1 0.00432097 20 0.00130613 39 0.0654861 58 0.017306
2 9.25116e-05 21 0.0260973 40 0.0352827 59 0.0603316
3 0.0127064 22 0 41 0.033109 60 0.184567
4 0.00776066 23 0 42 0.00123735 61 0.226805
5 0.00678892 24 0.0438069 43 0.00182842 62 0.0915254
6 0.0204364 25 0.00430973 44 0.000363619 63 0.0519358
7 0.0215012 26 9.23249e-05 45 0.0233012 64 0.032263
8 0.109779 27 0.0198397 46 0 65 0.0335841
9 0.0148972 28 0.00776098 47 0.00141954 66 0.00283486
10 0.0164426 29 0.00678583 48 0.0684894 67 0.00119719
11 0.0321729 30 0.0204342 49 0.0129856 68 0.00063197
12 0.0923061 31 0.0233794 50 0.00022785 69 0.0219915
13 0.0831254 32 0.176778 51 0.0202283 70 0
14 0.0432899 33 0.0169071 52 0.00763545 71 0
15 0.0228119 34 0.019096 53 0.00904622 72 0.0698358
16 0.0155655 35 0.0451796 54 0.021955 73 0.081496
17 0.0244202 36 0.126125 55 0.0233794
18 0.000139499 37 0.110201 56 0.177466
19 0.000756796 38 0.0662722 57 0.0314415
;
line_PlossTest [*] :=
1 0 13 0 25 0 37 0 49 0 61 0 73 0 85 0 97 0 109 0
2 0 14 0 26 0 38 0 50 0 62 0 74 0 86 0 98 0 110 0
3 0 15 0 27 0 39 0 51 0 63 0 75 0 87 0 99 0 111 0
4 0 16 0 28 0 40 0 52 0 64 0 76 0 88 0 100 0 112 0
5 0 17 0 29 0 41 0 53 0 65 0 77 0 89 0 101 0 113 0
6 0 18 0 30 0 42 0 54 0 66 0 78 0 90 0 102 0 114 0
7 0 19 0 31 0 43 0 55 0 67 0 79 0 91 0 103 0 115 0
8 0 20 0 32 0 44 0 56 0 68 0 80 0 92 0 104 0 116 0
9 0 21 0 33 0 45 0 57 0 69 0 81 0 93 0 105 0 117 0
10 0 22 0 34 0 46 0 58 0 70 0 82 0 94 0 106 0 118 0
11 0 23 0 35 0 47 0 59 0 71 0 83 0 95 0 107 0 119 0
12 0 24 0 36 0 48 0 60 0 72 0 84 0 96 0 108 0 120 0
;