## ams_version=1.0 Model Main_powerflow0014r { Variable x1; Variable x2; Variable x3; Variable x4; Variable x5; Variable x6; Variable x7; Variable x8; Variable x9; Variable x10; Variable x11; Variable x12; Variable x13; Variable x14; Variable x15; Variable x16; Variable x17; Variable x18; Variable x19; Variable x20; Variable x21; Variable x22; Variable x23; Variable x24; Variable x25; Variable x26; Variable x27; Variable x28; Variable x29; Variable x30; Variable x31; Variable x32; Variable x33; Variable x34; Variable x35; Variable x36; Variable x37; Variable x38; Variable x39; Variable x40; Variable x41; Variable x42; Variable x43; Variable x44; Variable x45; Variable x46; Variable x47; Variable x48; Variable x49; Variable x50; Variable x51; Variable x52; Variable x53; Variable x54; Variable x55; Variable x56; Variable x57; Variable x58; Variable x59; Variable x60; Variable x61; Variable x62; Variable x63; Variable x64; Variable x65; Variable x66; Variable x67; Variable x68; Variable x69; Variable x70; Variable x71; Variable x72; Variable x73; Variable x74; Variable x75; Variable x76; Variable x77; Variable x78; Variable x79; Variable x80; Variable x81; Variable x82; Variable x83; Variable x84; Variable x85; Variable x86; Variable x87; Variable x88; Variable x89; Variable x90; Variable x91; Variable x92; Variable x93; Variable x94; Variable x95; Variable x96; Variable x97; Variable x98; Variable x99; Variable x100; Variable x101; Variable x102; Variable x103; Variable x104; Variable x105; Variable x106; Variable x107; Variable x108; Variable x109; Variable x110; Variable x111; Variable x112; Variable x113; Variable x114; Variable x115; Variable x116; Variable x117; Variable x118; Variable objvar; Constraint e1 { Definition: { 430.293*sqr(x109) + 2000*x109 + 2500*sqr(x110) + 2000*x110 + 100*sqr(x111) + 4000*x111 + 100*sqr(x112) + 4000*x112 + 100*sqr(x113) + 4000*x113 - objvar = 0 } } Constraint e2 { Definition: { 0.567509596153698*x82*x83 - 1.1350191923074*sqr(x82) - 2.39093157587886* x82*x97 + 0.567509596153698*x83*x82 + 2.39093157587886*x83*x96 + 2.39093157587886*x96*x83 - 1.1350191923074*sqr(x96) + 0.567509596153698* x96*x97 - 2.39093157587886*x97*x82 + 0.567509596153698*x97*x96 + x1 = 0 } } Constraint e3 { Definition: { 0.567509596153698*x82*x83 + 2.39093157587886*x82*x97 + 0.567509596153698* x83*x82 - 1.1350191923074*sqr(x83) - 2.39093157587886*x83*x96 - 2.39093157587886*x96*x83 + 0.567509596153698*x96*x97 + 2.39093157587886* x97*x82 + 0.567509596153698*x97*x96 - 1.1350191923074*sqr(x97) + x2 = 0 } } Constraint e4 { Definition: { 4.54504135987637*x89*x101 - 4.54504135987637*x87*x103 + 4.54504135987637* x101*x89 - 4.54504135987637*x103*x87 + x3 = 0 } } Constraint e5 { Definition: { 4.54504135987637*x87*x103 - 4.54504135987637*x89*x101 - 4.54504135987637* x101*x89 + 4.54504135987637*x103*x87 + x4 = 0 } } Constraint e6 { Definition: { 0.9404423768502*x90*x91 - 1.8808847537004*sqr(x90) - 2.20147187473026*x90* x105 + 0.9404423768502*x91*x90 + 2.20147187473026*x91*x104 + 2.20147187473026*x104*x91 - 1.8808847537004*sqr(x104) + 0.9404423768502* x104*x105 - 2.20147187473026*x105*x90 + 0.9404423768502*x105*x104 + x5 = 0 } } Constraint e7 { Definition: { 0.9404423768502*x90*x91 + 2.20147187473026*x90*x105 + 0.9404423768502*x91* x90 - 1.8808847537004*sqr(x91) - 2.20147187473026*x91*x104 - 2.20147187473026*x104*x91 + 0.9404423768502*x104*x105 + 2.20147187473026* x105*x90 + 0.9404423768502*x105*x104 - 1.8808847537004*sqr(x105) + x6 = 0 } } Constraint e8 { Definition: { 2.39097169089518*x87*x98 - 2.39097169089518*x84*x101 + 2.39097169089518* x98*x87 - 2.39097169089518*x101*x84 + x7 = 0 } } Constraint e9 { Definition: { 2.39097169089518*x84*x101 - 2.39097169089518*x87*x98 - 2.39097169089518* x98*x87 + 2.39097169089518*x101*x84 + x8 = 0 } } Constraint e10 { Definition: { 1.98396952622808*x86*x99 - 1.98396952622808*x85*x100 + 1.98396952622808* x99*x86 - 1.98396952622808*x100*x85 + x9 = 0 } } Constraint e11 { Definition: { 1.98396952622808*x85*x100 - 1.98396952622808*x86*x99 - 1.98396952622808* x99*x86 + 1.98396952622808*x100*x85 + x10 = 0 } } Constraint e12 { Definition: { 0.712002743509966*x89*x94 - 1.42400548701993*sqr(x89) - 1.5145252284653* x89*x108 + 0.712002743509966*x94*x89 + 1.5145252284653*x94*x103 + 1.5145252284653*x103*x94 - 1.42400548701993*sqr(x103) + 0.712002743509966 *x103*x108 - 1.5145252284653*x108*x89 + 0.712002743509966*x108*x103 + x11 = 0 } } Constraint e13 { Definition: { 0.712002743509966*x89*x94 + 1.5145252284653*x89*x108 + 0.712002743509966* x94*x89 - 1.42400548701993*sqr(x94) - 1.5145252284653*x94*x103 - 1.5145252284653*x103*x94 + 0.712002743509966*x103*x108 + 1.5145252284653* x108*x89 + 0.712002743509966*x108*x103 - 1.42400548701993*sqr(x108) + x12 = 0 } } Constraint e14 { Definition: { 3.42049033074784*x84*x85 - 6.84098066149567*sqr(x84) - 10.7892769908458* x84*x99 + 3.42049033074784*x85*x84 + 10.7892769908458*x85*x98 + 10.7892769908458*x98*x85 - 6.84098066149567*sqr(x98) + 3.42049033074784* x98*x99 - 10.7892769908458*x99*x84 + 3.42049033074784*x99*x98 + x13 = 0 } } Constraint e15 { Definition: { 3.42049033074784*x84*x85 + 10.7892769908458*x84*x99 + 3.42049033074784* x85*x84 - 6.84098066149567*sqr(x85) - 10.7892769908458*x85*x98 - 10.7892769908458*x98*x85 + 3.42049033074784*x98*x99 + 10.7892769908458* x99*x84 + 3.42049033074784*x99*x98 - 6.84098066149567*sqr(x99) + x14 = 0 } } Constraint e16 { Definition: { 1.54946370191899*x86*x93 - 3.09892740383799*sqr(x86) - 3.05137772409656* x86*x107 + 1.54946370191899*x93*x86 + 3.05137772409656*x93*x100 + 3.05137772409656*x100*x93 - 3.09892740383799*sqr(x100) + 1.54946370191899 *x100*x107 - 3.05137772409656*x107*x86 + 1.54946370191899*x107*x100 + x15 = 0 } } Constraint e17 { Definition: { 1.54946370191899*x86*x93 + 3.05137772409656*x86*x107 + 1.54946370191899* x93*x86 - 3.09892740383799*sqr(x93) - 3.05137772409656*x93*x100 - 3.05137772409656*x100*x93 + 1.54946370191899*x100*x107 + 3.05137772409656 *x107*x86 + 1.54946370191899*x107*x100 - 3.09892740383799*sqr(x107) + x16 = 0 } } Constraint e18 { Definition: { 2.83848992336077*x88*x101 - 2.83848992336077*x87*x102 + 2.83848992336077* x101*x88 - 2.83848992336077*x102*x87 + x17 = 0 } } Constraint e19 { Definition: { 2.83848992336077*x87*x102 - 2.83848992336077*x88*x101 - 2.83848992336077* x101*x88 + 2.83848992336077*x102*x87 + x18 = 0 } } Constraint e20 { Definition: { 0.568497078903163*x93*x94 - 1.13699415780633*sqr(x93) - 1.15748173755268* x93*x108 + 0.568497078903163*x94*x93 + 1.15748173755268*x94*x107 + 1.15748173755268*x107*x94 - 1.13699415780633*sqr(x107) + 0.568497078903163*x107*x108 - 1.15748173755268*x108*x93 + 0.568497078903163*x108*x107 + x19 = 0 } } Constraint e21 { Definition: { 0.568497078903163*x93*x94 + 1.15748173755268*x93*x108 + 0.568497078903163 *x94*x93 - 1.13699415780633*sqr(x94) - 1.15748173755268*x94*x107 - 1.15748173755268*x107*x94 + 0.568497078903163*x107*x108 + 1.15748173755268*x108*x93 + 0.568497078903163*x108*x107 - 1.13699415780633*sqr(x108) + x20 = 0 } } Constraint e22 { Definition: { 0.762983720225487*x86*x92 - 1.52596744045097*sqr(x86) - 1.5879819825147* x86*x106 + 0.762983720225487*x92*x86 + 1.5879819825147*x92*x100 + 1.5879819825147*x100*x92 - 1.52596744045097*sqr(x100) + 0.762983720225487 *x100*x106 - 1.5879819825147*x106*x86 + 0.762983720225487*x106*x100 + x21 = 0 } } Constraint e23 { Definition: { 0.762983720225487*x86*x92 + 1.5879819825147*x86*x106 + 0.762983720225487* x92*x86 - 1.52596744045097*sqr(x92) - 1.5879819825147*x92*x100 - 1.5879819825147*x100*x92 + 0.762983720225487*x100*x106 + 1.5879819825147* x106*x86 + 0.762983720225487*x106*x100 - 1.52596744045097*sqr(x106) + x22 = 0 } } Constraint e24 { Definition: { 0.97751428158863*x86*x91 - 1.95502856317726*sqr(x86) - 2.04703717212022* x86*x105 + 0.97751428158863*x91*x86 + 2.04703717212022*x91*x100 + 2.04703717212022*x100*x91 - 1.95502856317726*sqr(x100) + 0.97751428158863 *x100*x105 - 2.04703717212022*x105*x86 + 0.97751428158863*x105*x100 + x23 = 0 } } Constraint e25 { Definition: { 0.97751428158863*x86*x91 + 2.04703717212022*x86*x105 + 0.97751428158863* x91*x86 - 1.95502856317726*sqr(x91) - 2.04703717212022*x91*x100 - 2.04703717212022*x100*x91 + 0.97751428158863*x100*x105 + 2.04703717212022 *x105*x86 + 0.97751428158863*x105*x100 - 1.95502856317726*sqr(x105) + x24 = 0 } } Constraint e26 { Definition: { 1.24451229341096*x92*x93 - 2.48902458682192*sqr(x92) - 1.12598731308611* x92*x107 + 1.24451229341096*x93*x92 + 1.12598731308611*x93*x106 + 1.12598731308611*x106*x93 - 2.48902458682192*sqr(x106) + 1.24451229341096 *x106*x107 - 1.12598731308611*x107*x92 + 1.24451229341096*x107*x106 + x25 = 0 } } Constraint e27 { Definition: { 1.24451229341096*x92*x93 + 1.12598731308611*x92*x107 + 1.24451229341096* x93*x92 - 2.48902458682192*sqr(x93) - 1.12598731308611*x93*x106 - 1.12598731308611*x106*x93 + 1.24451229341096*x106*x107 + 1.12598731308611 *x107*x92 + 1.24451229341096*x107*x106 - 2.48902458682192*sqr(x107) + x26 = 0 } } Constraint e28 { Definition: { 0.512948727485094*x81*x85 - 1.02589745497019*sqr(x81) - 2.11749184116742* x81*x99 + 0.512948727485094*x85*x81 + 2.11749184116742*x85*x95 + 2.11749184116742*x95*x85 - 1.02589745497019*sqr(x95) + 0.512948727485094* x95*x99 - 2.11749184116742*x99*x81 + 0.512948727485094*x99*x95 + x27 = 0 } } Constraint e29 { Definition: { 0.512948727485094*x81*x85 + 2.11749184116742*x81*x99 + 0.512948727485094* x85*x81 - 1.02589745497019*sqr(x85) - 2.11749184116742*x85*x95 - 2.11749184116742*x95*x85 + 0.512948727485094*x95*x99 + 2.11749184116742* x99*x81 + 0.512948727485094*x99*x95 - 1.02589745497019*sqr(x99) + x28 = 0 } } Constraint e30 { Definition: { 1.95102477622371*x89*x90 - 3.90204955244743*sqr(x89) - 5.18269706353046* x89*x104 + 1.95102477622371*x90*x89 + 5.18269706353046*x90*x103 + 5.18269706353046*x103*x90 - 3.90204955244743*sqr(x103) + 1.95102477622371 *x103*x104 - 5.18269706353046*x104*x89 + 1.95102477622371*x104*x103 + x29 = 0 } } Constraint e31 { Definition: { 1.95102477622371*x89*x90 + 5.18269706353046*x89*x104 + 1.95102477622371* x90*x89 - 3.90204955244743*sqr(x90) - 5.18269706353046*x90*x103 - 5.18269706353046*x103*x90 + 1.95102477622371*x103*x104 + 5.18269706353046 *x104*x89 + 1.95102477622371*x104*x103 - 3.90204955244743*sqr(x104) + x30 = 0 } } Constraint e32 { Definition: { 2.49956580039902*x81*x82 - 4.99913160079803*sqr(x81) - 7.63154326158978* x81*x96 + 2.49956580039902*x82*x81 + 7.63154326158978*x82*x95 + 7.63154326158978*x95*x82 - 4.99913160079803*sqr(x95) + 2.49956580039902* x95*x96 - 7.63154326158978*x96*x81 + 2.49956580039902*x96*x95 + x31 = 0 } } Constraint e33 { Definition: { 2.49956580039902*x81*x82 + 7.63154326158978*x81*x96 + 2.49956580039902* x82*x81 - 4.99913160079803*sqr(x82) - 7.63154326158978*x82*x95 - 7.63154326158978*x95*x82 + 2.49956580039902*x95*x96 + 7.63154326158978* x96*x81 + 2.49956580039902*x96*x95 - 4.99913160079803*sqr(x96) + x32 = 0 } } Constraint e34 { Definition: { 0.850569833547202*x82*x85 - 1.7011396670944*sqr(x82) - 2.59696369898486* x82*x99 + 0.850569833547202*x85*x82 + 2.59696369898486*x85*x96 + 2.59696369898486*x96*x85 - 1.7011396670944*sqr(x96) + 0.850569833547202* x96*x99 - 2.59696369898486*x99*x82 + 0.850569833547202*x99*x96 + x33 = 0 } } Constraint e35 { Definition: { 0.850569833547202*x82*x85 + 2.59696369898486*x82*x99 + 0.850569833547202* x85*x82 - 1.7011396670944*sqr(x85) - 2.59696369898486*x85*x96 - 2.59696369898486*x96*x85 + 0.850569833547202*x96*x99 + 2.59696369898486* x99*x82 + 0.850569833547202*x99*x96 - 1.7011396670944*sqr(x99) + x34 = 0 } } Constraint e36 { Definition: { 0.99298785496278*x83*x84 - 1.98597570992556*sqr(x83) - 2.53440848879696* x83*x98 + 0.99298785496278*x84*x83 + 2.53440848879696*x84*x97 + 2.53440848879696*x97*x84 - 1.98597570992556*sqr(x97) + 0.99298785496278* x97*x98 - 2.53440848879696*x98*x83 + 0.99298785496278*x98*x97 + x35 = 0 } } Constraint e37 { Definition: { 0.99298785496278*x83*x84 + 2.53440848879696*x83*x98 + 0.99298785496278* x84*x83 - 1.98597570992556*sqr(x84) - 2.53440848879696*x84*x97 - 2.53440848879696*x97*x84 + 0.99298785496278*x97*x98 + 2.53440848879696* x98*x83 + 0.99298785496278*x98*x97 - 1.98597570992556*sqr(x98) + x36 = 0 } } Constraint e38 { Definition: { 0.898989535761804*x89*x98 - 0.898989535761804*x84*x103 + 0.898989535761804*x98*x89 - 0.898989535761804*x103*x84 + x37 = 0 } } Constraint e39 { Definition: { 0.898989535761804*x84*x103 - 0.898989535761804*x89*x98 - 0.898989535761804*x98*x89 + 0.898989535761804*x103*x84 + x38 = 0 } } Constraint e40 { Definition: { 0.843016575307471*x82*x84 - 1.68603315061494*sqr(x82) - 2.55791916293604* x82*x98 + 0.843016575307471*x84*x82 + 2.55791916293604*x84*x96 + 2.55791916293604*x96*x84 - 1.68603315061494*sqr(x96) + 0.843016575307471* x96*x98 - 2.55791916293604*x98*x82 + 0.843016575307471*x98*x96 + x39 = 0 } } Constraint e41 { Definition: { 0.843016575307471*x82*x84 + 2.55791916293604*x82*x98 + 0.843016575307471* x84*x82 - 1.68603315061494*sqr(x84) - 2.55791916293604*x84*x96 - 2.55791916293604*x96*x84 + 0.843016575307471*x96*x98 + 2.55791916293604* x98*x82 + 0.843016575307471*x98*x96 - 1.68603315061494*sqr(x98) + x40 = 0 } } Constraint e42 { Definition: { 2.39093157587886*x82*x83 - 4.75996315175772*sqr(x82) + 0.567509596153698* x82*x97 + 2.39093157587886*x83*x82 - 0.567509596153698*x83*x96 - 0.567509596153698*x96*x83 - 4.75996315175772*sqr(x96) + 2.39093157587886* x96*x97 + 0.567509596153698*x97*x82 + 2.39093157587886*x97*x96 + x41 = 0 } } Constraint e43 { Definition: { 2.39093157587886*x82*x83 - 0.567509596153698*x82*x97 + 2.39093157587886* x83*x82 - 4.75996315175772*sqr(x83) + 0.567509596153698*x83*x96 + 0.567509596153698*x96*x83 + 2.39093157587886*x96*x97 - 0.567509596153698* x97*x82 + 2.39093157587886*x97*x96 - 4.75996315175772*sqr(x97) + x42 = 0 } } Constraint e44 { Definition: { 4.54504135987637*x87*x89 - 9.09008271975275*sqr(x87) + 4.54504135987637* x89*x87 - 9.09008271975275*sqr(x101) + 4.54504135987637*x101*x103 + 4.54504135987637*x103*x101 + x43 = 0 } } Constraint e45 { Definition: { 4.54504135987637*x87*x89 + 4.54504135987637*x89*x87 - 9.09008271975275* sqr(x89) + 4.54504135987637*x101*x103 + 4.54504135987637*x103*x101 - 9.09008271975275*sqr(x103) + x44 = 0 } } Constraint e46 { Definition: { 2.20147187473026*x90*x91 - 4.40294374946052*sqr(x90) + 0.9404423768502* x90*x105 + 2.20147187473026*x91*x90 - 0.9404423768502*x91*x104 - 0.9404423768502*x104*x91 - 4.40294374946052*sqr(x104) + 2.20147187473026* x104*x105 + 0.9404423768502*x105*x90 + 2.20147187473026*x105*x104 + x45 = 0 } } Constraint e47 { Definition: { 2.20147187473026*x90*x91 - 0.9404423768502*x90*x105 + 2.20147187473026* x91*x90 - 4.40294374946052*sqr(x91) + 0.9404423768502*x91*x104 + 0.9404423768502*x104*x91 + 2.20147187473026*x104*x105 - 0.9404423768502* x105*x90 + 2.20147187473026*x105*x104 - 4.40294374946052*sqr(x105) + x46 = 0 } } Constraint e48 { Definition: { 2.39097169089518*x84*x87 - 4.78194338179036*sqr(x84) + 2.39097169089518* x87*x84 - 4.78194338179036*sqr(x98) + 2.39097169089518*x98*x101 + 2.39097169089518*x101*x98 + x47 = 0 } } Constraint e49 { Definition: { 2.39097169089518*x84*x87 + 2.39097169089518*x87*x84 - 4.78194338179036* sqr(x87) + 2.39097169089518*x98*x101 + 2.39097169089518*x101*x98 - 4.78194338179036*sqr(x101) + x48 = 0 } } Constraint e50 { Definition: { 1.98396952622808*x85*x86 - 3.96793905245615*sqr(x85) + 1.98396952622808* x86*x85 - 3.96793905245615*sqr(x99) + 1.98396952622808*x99*x100 + 1.98396952622808*x100*x99 + x49 = 0 } } Constraint e51 { Definition: { 1.98396952622808*x85*x86 + 1.98396952622808*x86*x85 - 3.96793905245615* sqr(x86) + 1.98396952622808*x99*x100 + 1.98396952622808*x100*x99 - 3.96793905245615*sqr(x100) + x50 = 0 } } Constraint e52 { Definition: { 1.5145252284653*x89*x94 - 3.0290504569306*sqr(x89) + 0.712002743509966* x89*x108 + 1.5145252284653*x94*x89 - 0.712002743509966*x94*x103 - 0.712002743509966*x103*x94 - 3.0290504569306*sqr(x103) + 1.5145252284653* x103*x108 + 0.712002743509966*x108*x89 + 1.5145252284653*x108*x103 + x51 = 0 } } Constraint e53 { Definition: { 1.5145252284653*x89*x94 - 0.712002743509966*x89*x108 + 1.5145252284653* x94*x89 - 3.0290504569306*sqr(x94) + 0.712002743509966*x94*x103 + 0.712002743509966*x103*x94 + 1.5145252284653*x103*x108 - 0.712002743509966*x108*x89 + 1.5145252284653*x108*x103 - 3.0290504569306* sqr(x108) + x52 = 0 } } Constraint e54 { Definition: { 10.7892769908458*x84*x85 - 21.5785539816916*sqr(x84) + 3.42049033074784* x84*x99 + 10.7892769908458*x85*x84 - 3.42049033074784*x85*x98 - 3.42049033074784*x98*x85 - 21.5785539816916*sqr(x98) + 10.7892769908458* x98*x99 + 3.42049033074784*x99*x84 + 10.7892769908458*x99*x98 + x53 = 0 } } Constraint e55 { Definition: { 10.7892769908458*x84*x85 - 3.42049033074784*x84*x99 + 10.7892769908458* x85*x84 - 21.5785539816916*sqr(x85) + 3.42049033074784*x85*x98 + 3.42049033074784*x98*x85 + 10.7892769908458*x98*x99 - 3.42049033074784* x99*x84 + 10.7892769908458*x99*x98 - 21.5785539816916*sqr(x99) + x54 = 0 } } Constraint e56 { Definition: { 3.05137772409656*x86*x93 - 6.10275544819311*sqr(x86) + 1.54946370191899* x86*x107 + 3.05137772409656*x93*x86 - 1.54946370191899*x93*x100 - 1.54946370191899*x100*x93 - 6.10275544819311*sqr(x100) + 3.05137772409656 *x100*x107 + 1.54946370191899*x107*x86 + 3.05137772409656*x107*x100 + x55 = 0 } } Constraint e57 { Definition: { 3.05137772409656*x86*x93 - 1.54946370191899*x86*x107 + 3.05137772409656* x93*x86 - 6.10275544819311*sqr(x93) + 1.54946370191899*x93*x100 + 1.54946370191899*x100*x93 + 3.05137772409656*x100*x107 - 1.54946370191899 *x107*x86 + 3.05137772409656*x107*x100 - 6.10275544819311*sqr(x107) + x56 = 0 } } Constraint e58 { Definition: { 2.83848992336077*x87*x88 - 5.67697984672154*sqr(x87) + 2.83848992336077* x88*x87 - 5.67697984672154*sqr(x101) + 2.83848992336077*x101*x102 + 2.83848992336077*x102*x101 + x57 = 0 } } Constraint e59 { Definition: { 2.83848992336077*x87*x88 + 2.83848992336077*x88*x87 - 5.67697984672154* sqr(x88) + 2.83848992336077*x101*x102 + 2.83848992336077*x102*x101 - 5.67697984672154*sqr(x102) + x58 = 0 } } Constraint e60 { Definition: { 1.15748173755268*x93*x94 - 2.31496347510535*sqr(x93) + 0.568497078903163* x93*x108 + 1.15748173755268*x94*x93 - 0.568497078903163*x94*x107 - 0.568497078903163*x107*x94 - 2.31496347510535*sqr(x107) + 1.15748173755268*x107*x108 + 0.568497078903163*x108*x93 + 1.15748173755268*x108*x107 + x59 = 0 } } Constraint e61 { Definition: { 1.15748173755268*x93*x94 - 0.568497078903163*x93*x108 + 1.15748173755268* x94*x93 - 2.31496347510535*sqr(x94) + 0.568497078903163*x94*x107 + 0.568497078903163*x107*x94 + 1.15748173755268*x107*x108 - 0.568497078903163*x108*x93 + 1.15748173755268*x108*x107 - 2.31496347510535*sqr(x108) + x60 = 0 } } Constraint e62 { Definition: { 1.5879819825147*x86*x92 - 3.1759639650294*sqr(x86) + 0.762983720225487* x86*x106 + 1.5879819825147*x92*x86 - 0.762983720225487*x92*x100 - 0.762983720225487*x100*x92 - 3.1759639650294*sqr(x100) + 1.5879819825147* x100*x106 + 0.762983720225487*x106*x86 + 1.5879819825147*x106*x100 + x61 = 0 } } Constraint e63 { Definition: { 1.5879819825147*x86*x92 - 0.762983720225487*x86*x106 + 1.5879819825147* x92*x86 - 3.1759639650294*sqr(x92) + 0.762983720225487*x92*x100 + 0.762983720225487*x100*x92 + 1.5879819825147*x100*x106 - 0.762983720225487*x106*x86 + 1.5879819825147*x106*x100 - 3.1759639650294* sqr(x106) + x62 = 0 } } Constraint e64 { Definition: { 2.04703717212022*x86*x91 - 4.09407434424044*sqr(x86) + 0.97751428158863* x86*x105 + 2.04703717212022*x91*x86 - 0.97751428158863*x91*x100 - 0.97751428158863*x100*x91 - 4.09407434424044*sqr(x100) + 2.04703717212022 *x100*x105 + 0.97751428158863*x105*x86 + 2.04703717212022*x105*x100 + x63 = 0 } } Constraint e65 { Definition: { 2.04703717212022*x86*x91 - 0.97751428158863*x86*x105 + 2.04703717212022* x91*x86 - 4.09407434424044*sqr(x91) + 0.97751428158863*x91*x100 + 0.97751428158863*x100*x91 + 2.04703717212022*x100*x105 - 0.97751428158863 *x105*x86 + 2.04703717212022*x105*x100 - 4.09407434424044*sqr(x105) + x64 = 0 } } Constraint e66 { Definition: { 1.12598731308611*x92*x93 - 2.25197462617221*sqr(x92) + 1.24451229341096* x92*x107 + 1.12598731308611*x93*x92 - 1.24451229341096*x93*x106 - 1.24451229341096*x106*x93 - 2.25197462617221*sqr(x106) + 1.12598731308611 *x106*x107 + 1.24451229341096*x107*x92 + 1.12598731308611*x107*x106 + x65 = 0 } } Constraint e67 { Definition: { 1.12598731308611*x92*x93 - 1.24451229341096*x92*x107 + 1.12598731308611* x93*x92 - 2.25197462617221*sqr(x93) + 1.24451229341096*x93*x106 + 1.24451229341096*x106*x93 + 1.12598731308611*x106*x107 - 1.24451229341096 *x107*x92 + 1.12598731308611*x107*x106 - 2.25197462617221*sqr(x107) + x66 = 0 } } Constraint e68 { Definition: { 2.11749184116742*x81*x85 - 4.21038368233483*sqr(x81) + 0.512948727485094* x81*x99 + 2.11749184116742*x85*x81 - 0.512948727485094*x85*x95 - 0.512948727485094*x95*x85 - 4.21038368233483*sqr(x95) + 2.11749184116742* x95*x99 + 0.512948727485094*x99*x81 + 2.11749184116742*x99*x95 + x67 = 0 } } Constraint e69 { Definition: { 2.11749184116742*x81*x85 - 0.512948727485094*x81*x99 + 2.11749184116742* x85*x81 - 4.21038368233483*sqr(x85) + 0.512948727485094*x85*x95 + 0.512948727485094*x95*x85 + 2.11749184116742*x95*x99 - 0.512948727485094* x99*x81 + 2.11749184116742*x99*x95 - 4.21038368233483*sqr(x99) + x68 = 0 } } Constraint e70 { Definition: { 5.18269706353046*x89*x90 - 10.3653941270609*sqr(x89) + 1.95102477622371* x89*x104 + 5.18269706353046*x90*x89 - 1.95102477622371*x90*x103 - 1.95102477622371*x103*x90 - 10.3653941270609*sqr(x103) + 5.18269706353046 *x103*x104 + 1.95102477622371*x104*x89 + 5.18269706353046*x104*x103 + x69 = 0 } } Constraint e71 { Definition: { 5.18269706353046*x89*x90 - 1.95102477622371*x89*x104 + 5.18269706353046* x90*x89 - 10.3653941270609*sqr(x90) + 1.95102477622371*x90*x103 + 1.95102477622371*x103*x90 + 5.18269706353046*x103*x104 - 1.95102477622371 *x104*x89 + 5.18269706353046*x104*x103 - 10.3653941270609*sqr(x104) + x70 = 0 } } Constraint e72 { Definition: { 7.63154326158978*x81*x82 - 15.2366865231796*sqr(x81) + 2.49956580039902* x81*x96 + 7.63154326158978*x82*x81 - 2.49956580039902*x82*x95 - 2.49956580039902*x95*x82 - 15.2366865231796*sqr(x95) + 7.63154326158978* x95*x96 + 2.49956580039902*x96*x81 + 7.63154326158978*x96*x95 + x71 = 0 } } Constraint e73 { Definition: { 7.63154326158978*x81*x82 - 2.49956580039902*x81*x96 + 7.63154326158978* x82*x81 - 15.2366865231796*sqr(x82) + 2.49956580039902*x82*x95 + 2.49956580039902*x95*x82 + 7.63154326158978*x95*x96 - 2.49956580039902* x96*x81 + 7.63154326158978*x96*x95 - 15.2366865231796*sqr(x96) + x72 = 0 } } Constraint e74 { Definition: { 2.59696369898486*x82*x85 - 5.17662739796971*sqr(x82) + 0.850569833547202* x82*x99 + 2.59696369898486*x85*x82 - 0.850569833547202*x85*x96 - 0.850569833547202*x96*x85 - 5.17662739796971*sqr(x96) + 2.59696369898486* x96*x99 + 0.850569833547202*x99*x82 + 2.59696369898486*x99*x96 + x73 = 0 } } Constraint e75 { Definition: { 2.59696369898486*x82*x85 - 0.850569833547202*x82*x99 + 2.59696369898486* x85*x82 - 5.17662739796971*sqr(x85) + 0.850569833547202*x85*x96 + 0.850569833547202*x96*x85 + 2.59696369898486*x96*x99 - 0.850569833547202* x99*x82 + 2.59696369898486*x99*x96 - 5.17662739796971*sqr(x99) + x74 = 0 } } Constraint e76 { Definition: { 2.53440848879696*x83*x84 - 5.06241697759392*sqr(x83) + 0.99298785496278* x83*x98 + 2.53440848879696*x84*x83 - 0.99298785496278*x84*x97 - 0.99298785496278*x97*x84 - 5.06241697759392*sqr(x97) + 2.53440848879696* x97*x98 + 0.99298785496278*x98*x83 + 2.53440848879696*x98*x97 + x75 = 0 } } Constraint e77 { Definition: { 2.53440848879696*x83*x84 - 0.99298785496278*x83*x98 + 2.53440848879696* x84*x83 - 5.06241697759392*sqr(x84) + 0.99298785496278*x84*x97 + 0.99298785496278*x97*x84 + 2.53440848879696*x97*x98 - 0.99298785496278* x98*x83 + 2.53440848879696*x98*x97 - 5.06241697759392*sqr(x98) + x76 = 0 } } Constraint e78 { Definition: { 0.898989535761804*x84*x89 - 1.79797907152361*sqr(x84) + 0.898989535761804 *x89*x84 - 1.79797907152361*sqr(x98) + 0.898989535761804*x98*x103 + 0.898989535761804*x103*x98 + x77 = 0 } } Constraint e79 { Definition: { 0.898989535761804*x84*x89 + 0.898989535761804*x89*x84 - 1.79797907152361* sqr(x89) + 0.898989535761804*x98*x103 + 0.898989535761804*x103*x98 - 1.79797907152361*sqr(x103) + x78 = 0 } } Constraint e80 { Definition: { 2.55791916293604*x82*x84 - 5.09883832587208*sqr(x82) + 0.843016575307471* x82*x98 + 2.55791916293604*x84*x82 - 0.843016575307471*x84*x96 - 0.843016575307471*x96*x84 - 5.09883832587208*sqr(x96) + 2.55791916293604* x96*x98 + 0.843016575307471*x98*x82 + 2.55791916293604*x98*x96 + x79 = 0 } } Constraint e81 { Definition: { 2.55791916293604*x82*x84 - 0.843016575307471*x82*x98 + 2.55791916293604* x84*x82 - 5.09883832587208*sqr(x84) + 0.843016575307471*x84*x96 + 0.843016575307471*x96*x84 + 2.55791916293604*x96*x98 - 0.843016575307471* x98*x82 + 2.55791916293604*x98*x96 - 5.09883832587208*sqr(x98) + x80 = 0 } } Constraint e82 { Definition: sqr(x1) + sqr(x41) <= 9801; } Constraint e83 { Definition: sqr(x2) + sqr(x42) <= 9801; } Constraint e84 { Definition: sqr(x3) + sqr(x43) <= 9801; } Constraint e85 { Definition: sqr(x4) + sqr(x44) <= 9801; } Constraint e86 { Definition: sqr(x5) + sqr(x45) <= 9801; } Constraint e87 { Definition: sqr(x6) + sqr(x46) <= 9801; } Constraint e88 { Definition: sqr(x7) + sqr(x47) <= 9801; } Constraint e89 { Definition: sqr(x8) + sqr(x48) <= 9801; } Constraint e90 { Definition: sqr(x9) + sqr(x49) <= 9801; } Constraint e91 { Definition: sqr(x10) + sqr(x50) <= 9801; } Constraint e92 { Definition: sqr(x11) + sqr(x51) <= 9801; } Constraint e93 { Definition: sqr(x12) + sqr(x52) <= 9801; } Constraint e94 { Definition: sqr(x13) + sqr(x53) <= 9801; } Constraint e95 { Definition: sqr(x14) + sqr(x54) <= 9801; } Constraint e96 { Definition: sqr(x15) + sqr(x55) <= 9801; } Constraint e97 { Definition: sqr(x16) + sqr(x56) <= 9801; } Constraint e98 { Definition: sqr(x17) + sqr(x57) <= 9801; } Constraint e99 { Definition: sqr(x18) + sqr(x58) <= 9801; } Constraint e100 { Definition: sqr(x19) + sqr(x59) <= 9801; } Constraint e101 { Definition: sqr(x20) + sqr(x60) <= 9801; } Constraint e102 { Definition: sqr(x21) + sqr(x61) <= 9801; } Constraint e103 { Definition: sqr(x22) + sqr(x62) <= 9801; } Constraint e104 { Definition: sqr(x23) + sqr(x63) <= 9801; } Constraint e105 { Definition: sqr(x24) + sqr(x64) <= 9801; } Constraint e106 { Definition: sqr(x25) + sqr(x65) <= 9801; } Constraint e107 { Definition: sqr(x26) + sqr(x66) <= 9801; } Constraint e108 { Definition: sqr(x27) + sqr(x67) <= 9801; } Constraint e109 { Definition: sqr(x28) + sqr(x68) <= 9801; } Constraint e110 { Definition: sqr(x29) + sqr(x69) <= 9801; } Constraint e111 { Definition: sqr(x30) + sqr(x70) <= 9801; } Constraint e112 { Definition: sqr(x31) + sqr(x71) <= 9801; } Constraint e113 { Definition: sqr(x32) + sqr(x72) <= 9801; } Constraint e114 { Definition: sqr(x33) + sqr(x73) <= 9801; } Constraint e115 { Definition: sqr(x34) + sqr(x74) <= 9801; } Constraint e116 { Definition: sqr(x35) + sqr(x75) <= 9801; } Constraint e117 { Definition: sqr(x36) + sqr(x76) <= 9801; } Constraint e118 { Definition: sqr(x37) + sqr(x77) <= 9801; } Constraint e119 { Definition: sqr(x38) + sqr(x78) <= 9801; } Constraint e120 { Definition: sqr(x39) + sqr(x79) <= 9801; } Constraint e121 { Definition: sqr(x40) + sqr(x80) <= 9801; } Constraint e122 { Definition: sqr(x81) + sqr(x95) <= 1.1236; } Constraint e123 { Definition: sqr(x82) + sqr(x96) <= 1.1236; } Constraint e124 { Definition: sqr(x83) + sqr(x97) <= 1.1236; } Constraint e125 { Definition: sqr(x84) + sqr(x98) <= 1.1236; } Constraint e126 { Definition: sqr(x85) + sqr(x99) <= 1.1236; } Constraint e127 { Definition: sqr(x86) + sqr(x100) <= 1.1236; } Constraint e128 { Definition: sqr(x87) + sqr(x101) <= 1.1236; } Constraint e129 { Definition: sqr(x88) + sqr(x102) <= 1.1236; } Constraint e130 { Definition: sqr(x89) + sqr(x103) <= 1.1236; } Constraint e131 { Definition: sqr(x90) + sqr(x104) <= 1.1236; } Constraint e132 { Definition: sqr(x91) + sqr(x105) <= 1.1236; } Constraint e133 { Definition: sqr(x92) + sqr(x106) <= 1.1236; } Constraint e134 { Definition: sqr(x93) + sqr(x107) <= 1.1236; } Constraint e135 { Definition: sqr(x94) + sqr(x108) <= 1.1236; } Constraint e136 { Definition: sqr(x81) + sqr(x95) >= 0.8836; } Constraint e137 { Definition: sqr(x82) + sqr(x96) >= 0.8836; } Constraint e138 { Definition: sqr(x83) + sqr(x97) >= 0.8836; } Constraint e139 { Definition: sqr(x84) + sqr(x98) >= 0.8836; } Constraint e140 { Definition: sqr(x85) + sqr(x99) >= 0.8836; } Constraint e141 { Definition: sqr(x86) + sqr(x100) >= 0.8836; } Constraint e142 { Definition: sqr(x87) + sqr(x101) >= 0.8836; } Constraint e143 { Definition: sqr(x88) + sqr(x102) >= 0.8836; } Constraint e144 { Definition: sqr(x89) + sqr(x103) >= 0.8836; } Constraint e145 { Definition: sqr(x90) + sqr(x104) >= 0.8836; } Constraint e146 { Definition: sqr(x91) + sqr(x105) >= 0.8836; } Constraint e147 { Definition: sqr(x92) + sqr(x106) >= 0.8836; } Constraint e148 { Definition: sqr(x93) + sqr(x107) >= 0.8836; } Constraint e149 { Definition: sqr(x94) + sqr(x108) >= 0.8836; } Constraint e150 { Definition: x109 <= 3.324; } Constraint e151 { Definition: x110 <= 1.4; } Constraint e152 { Definition: x111 <= 1; } Constraint e153 { Definition: x112 <= 1; } Constraint e154 { Definition: x113 <= 1; } Constraint e155 { Definition: x109 >= 0; } Constraint e156 { Definition: x110 >= 0; } Constraint e157 { Definition: x111 >= 0; } Constraint e158 { Definition: x112 >= 0; } Constraint e159 { Definition: x113 >= 0; } Constraint e160 { Definition: x114 <= 0.1; } Constraint e161 { Definition: x115 <= 0.5; } Constraint e162 { Definition: x116 <= 0.4; } Constraint e163 { Definition: x117 <= 0.24; } Constraint e164 { Definition: x118 <= 0.24; } Constraint e165 { Definition: x114 >= 0; } Constraint e166 { Definition: x115 >= -0.4; } Constraint e167 { Definition: x116 >= 0; } Constraint e168 { Definition: x117 >= -0.06; } Constraint e169 { Definition: x118 >= -0.06; } Constraint e170 { Definition: x95 = 0; } Constraint e171 { Definition: x27 + x31 - x109 = 0; } Constraint e172 { Definition: x1 + x32 + x33 + x39 - x110 = -0.217; } Constraint e173 { Definition: x2 + x35 - x111 = -0.942; } Constraint e174 { Definition: x10 + x15 + x21 + x23 - x112 = -0.112; } Constraint e175 { Definition: x18 - x113 = 0; } Constraint e176 { Definition: x67 + x71 - x114 = 0; } Constraint e177 { Definition: x41 + x72 + x73 + x79 - x115 = -0.127; } Constraint e178 { Definition: x42 + x75 - x116 = -0.19; } Constraint e179 { Definition: x50 + x55 + x61 + x63 - x117 = -0.075; } Constraint e180 { Definition: x58 - x118 = 0; } Constraint e181 { Definition: x7 + x13 + x36 + x37 + x40 = -0.478; } Constraint e182 { Definition: x9 + x14 + x28 + x34 = -0.076; } Constraint e183 { Definition: x3 + x8 + x17 = 0; } Constraint e184 { Definition: x4 + x11 + x29 + x38 = -0.295; } Constraint e185 { Definition: x5 + x30 = -0.09; } Constraint e186 { Definition: x6 + x24 = -0.035; } Constraint e187 { Definition: x22 + x25 = -0.061; } Constraint e188 { Definition: x16 + x19 + x26 = -0.135; } Constraint e189 { Definition: x12 + x20 = -0.149; } Constraint e190 { Definition: x47 + x53 + x76 + x77 + x80 = 0.039; } Constraint e191 { Definition: x49 + x54 + x68 + x74 = -0.016; } Constraint e192 { Definition: x43 + x48 + x57 = 0; } Constraint e193 { Definition: x44 + x51 + x69 + x78 = -0.166; } Constraint e194 { Definition: x45 + x70 = -0.058; } Constraint e195 { Definition: x46 + x64 = -0.018; } Constraint e196 { Definition: x62 + x65 = -0.016; } Constraint e197 { Definition: x56 + x59 + x66 = -0.058; } Constraint e198 { Definition: x52 + x60 = -0.05; } Procedure MainInitialization; MathematicalProgram powerflow0014r { Objective: objvar; Direction: minimize; Constraints: AllConstraints; Variables: AllVariables; Type: NLP; } Procedure MainExecution { Body: { solve powerflow0014r; } } Procedure MainTermination { Body: { return 1; } } }