## ams_version=1.0 Model Main_powerflow0009p { 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 objvar; Constraint e1 { Definition: { 1100*sqr(x55) + 500*x55 + 850*sqr(x56) + 120*x56 + 1225*sqr(x57) + 100*x57 - objvar = -1085 } } Constraint e2 { Definition: -17.0648464163823*x3*x6*sin(x48 - x51) + x10 = 0; } Constraint e3 { Definition: -17.0648464163823*x6*x3*sin(x51 - x48) + x11 = 0; } Constraint e4 { Definition: { 1.61712247324614*x7*x8*cos(x52 - x53) - 1.61712247324614*sqr(x7) - 13.6979785969084*x7*x8*sin(x52 - x53) + x12 = 0 } } Constraint e5 { Definition: { 1.61712247324614*x8*x7*cos(x53 - x52) - 1.61712247324614*sqr(x8) - 13.6979785969084*x8*x7*sin(x53 - x52) + x13 = 0 } } Constraint e6 { Definition: { 1.28200913842411*x5*x6*cos(x50 - x51) - 1.28200913842411*sqr(x5) - 5.58824496236153*x5*x6*sin(x50 - x51) + x14 = 0 } } Constraint e7 { Definition: { 1.28200913842411*x6*x5*cos(x51 - x50) - 1.28200913842411*sqr(x6) - 5.58824496236153*x6*x5*sin(x51 - x50) + x15 = 0 } } Constraint e8 { Definition: { 1.1550874808901*x6*x7*cos(x51 - x52) - 1.1550874808901*sqr(x6) - 9.78427042636317*x6*x7*sin(x51 - x52) + x16 = 0 } } Constraint e9 { Definition: { 1.1550874808901*x7*x6*cos(x52 - x51) - 1.1550874808901*sqr(x7) - 9.78427042636317*x7*x6*sin(x52 - x51) + x17 = 0 } } Constraint e10 { Definition: -16*x8*x2*sin(x53 - x47) + x18 = 0; } Constraint e11 { Definition: -16*x2*x8*sin(x47 - x53) + x19 = 0; } Constraint e12 { Definition: { 1.94219124871473*x4*x5*cos(x49 - x50) - 1.94219124871473*sqr(x4) - 10.5106820518679*x4*x5*sin(x49 - x50) + x20 = 0 } } Constraint e13 { Definition: { 1.94219124871473*x5*x4*cos(x50 - x49) - 1.94219124871473*sqr(x5) - 10.5106820518679*x5*x4*sin(x50 - x49) + x21 = 0 } } Constraint e14 { Definition: -17.3611111111111*x1*x4*sin(x46 - x49) + x22 = 0; } Constraint e15 { Definition: -17.3611111111111*x4*x1*sin(x49 - x46) + x23 = 0; } Constraint e16 { Definition: { 1.36518771331058*x9*x4*cos(x54 - x49) - 1.36518771331058*sqr(x9) - 11.6040955631399*x9*x4*sin(x54 - x49) + x24 = 0 } } Constraint e17 { Definition: { 1.36518771331058*x4*x9*cos(x49 - x54) - 1.36518771331058*sqr(x4) - 11.6040955631399*x4*x9*sin(x49 - x54) + x25 = 0 } } Constraint e18 { Definition: { 1.18760437929115*x8*x9*cos(x53 - x54) - 1.18760437929115*sqr(x8) - 5.97513453330859*x8*x9*sin(x53 - x54) + x26 = 0 } } Constraint e19 { Definition: { 1.18760437929115*x9*x8*cos(x54 - x53) - 1.18760437929115*sqr(x9) - 5.97513453330859*x9*x8*sin(x54 - x53) + x27 = 0 } } Constraint e20 { Definition: { 17.0648464163823*x3*x6*cos(x48 - x51) - 17.0648464163823*sqr(x3) + x28 = 0 } } Constraint e21 { Definition: { 17.0648464163823*x6*x3*cos(x51 - x48) - 17.0648464163823*sqr(x6) + x29 = 0 } } Constraint e22 { Definition: { 13.6979785969084*x7*x8*cos(x52 - x53) - 13.6234785969084*sqr(x7) + 1.61712247324614*x7*x8*sin(x52 - x53) + x30 = 0 } } Constraint e23 { Definition: { 13.6979785969084*x8*x7*cos(x53 - x52) - 13.6234785969084*sqr(x8) + 1.61712247324614*x8*x7*sin(x53 - x52) + x31 = 0 } } Constraint e24 { Definition: { 5.58824496236153*x5*x6*cos(x50 - x51) - 5.40924496236153*sqr(x5) + 1.28200913842411*x5*x6*sin(x50 - x51) + x32 = 0 } } Constraint e25 { Definition: { 5.58824496236153*x6*x5*cos(x51 - x50) - 5.40924496236153*sqr(x6) + 1.28200913842411*x6*x5*sin(x51 - x50) + x33 = 0 } } Constraint e26 { Definition: { 9.78427042636317*x6*x7*cos(x51 - x52) - 9.67977042636317*sqr(x6) + 1.1550874808901*x6*x7*sin(x51 - x52) + x34 = 0 } } Constraint e27 { Definition: { 9.78427042636317*x7*x6*cos(x52 - x51) - 9.67977042636317*sqr(x7) + 1.1550874808901*x7*x6*sin(x52 - x51) + x35 = 0 } } Constraint e28 { Definition: 16*x8*x2*cos(x53 - x47) - 16*sqr(x8) + x36 = 0; } Constraint e29 { Definition: 16*x2*x8*cos(x47 - x53) - 16*sqr(x2) + x37 = 0; } Constraint e30 { Definition: { 10.5106820518679*x4*x5*cos(x49 - x50) - 10.4316820518679*sqr(x4) + 1.94219124871473*x4*x5*sin(x49 - x50) + x38 = 0 } } Constraint e31 { Definition: { 10.5106820518679*x5*x4*cos(x50 - x49) - 10.4316820518679*sqr(x5) + 1.94219124871473*x5*x4*sin(x50 - x49) + x39 = 0 } } Constraint e32 { Definition: { 17.3611111111111*x1*x4*cos(x46 - x49) - 17.3611111111111*sqr(x1) + x40 = 0 } } Constraint e33 { Definition: { 17.3611111111111*x4*x1*cos(x49 - x46) - 17.3611111111111*sqr(x4) + x41 = 0 } } Constraint e34 { Definition: { 11.6040955631399*x9*x4*cos(x54 - x49) - 11.5160955631399*sqr(x9) + 1.36518771331058*x9*x4*sin(x54 - x49) + x42 = 0 } } Constraint e35 { Definition: { 11.6040955631399*x4*x9*cos(x49 - x54) - 11.5160955631399*sqr(x4) + 1.36518771331058*x4*x9*sin(x49 - x54) + x43 = 0 } } Constraint e36 { Definition: { 5.97513453330859*x8*x9*cos(x53 - x54) - 5.82213453330859*sqr(x8) + 1.18760437929115*x8*x9*sin(x53 - x54) + x44 = 0 } } Constraint e37 { Definition: { 5.97513453330859*x9*x8*cos(x54 - x53) - 5.82213453330859*sqr(x9) + 1.18760437929115*x9*x8*sin(x54 - x53) + x45 = 0 } } Constraint e38 { Definition: sqr(x10) + sqr(x28) <= 9; } Constraint e39 { Definition: sqr(x11) + sqr(x29) <= 9; } Constraint e40 { Definition: sqr(x12) + sqr(x30) <= 6.25; } Constraint e41 { Definition: sqr(x13) + sqr(x31) <= 6.25; } Constraint e42 { Definition: sqr(x14) + sqr(x32) <= 2.25; } Constraint e43 { Definition: sqr(x15) + sqr(x33) <= 2.25; } Constraint e44 { Definition: sqr(x16) + sqr(x34) <= 2.25; } Constraint e45 { Definition: sqr(x17) + sqr(x35) <= 2.25; } Constraint e46 { Definition: sqr(x18) + sqr(x36) <= 6.25; } Constraint e47 { Definition: sqr(x19) + sqr(x37) <= 6.25; } Constraint e48 { Definition: sqr(x20) + sqr(x38) <= 6.25; } Constraint e49 { Definition: sqr(x21) + sqr(x39) <= 6.25; } Constraint e50 { Definition: sqr(x22) + sqr(x40) <= 6.25; } Constraint e51 { Definition: sqr(x23) + sqr(x41) <= 6.25; } Constraint e52 { Definition: sqr(x24) + sqr(x42) <= 6.25; } Constraint e53 { Definition: sqr(x25) + sqr(x43) <= 6.25; } Constraint e54 { Definition: sqr(x26) + sqr(x44) <= 6.25; } Constraint e55 { Definition: sqr(x27) + sqr(x45) <= 6.25; } Constraint e56 { Definition: x55 <= 2.5; } Constraint e57 { Definition: x56 <= 3; } Constraint e58 { Definition: x57 <= 2.7; } Constraint e59 { Definition: x55 >= 0.1; } Constraint e60 { Definition: x56 >= 0.1; } Constraint e61 { Definition: x57 >= 0.1; } Constraint e62 { Definition: x58 <= 3; } Constraint e63 { Definition: x59 <= 3; } Constraint e64 { Definition: x60 <= 3; } Constraint e65 { Definition: x58 >= -3; } Constraint e66 { Definition: x59 >= -3; } Constraint e67 { Definition: x60 >= -3; } Constraint e68 { Definition: x1 <= 1.1; } Constraint e69 { Definition: x2 <= 1.1; } Constraint e70 { Definition: x3 <= 1.1; } Constraint e71 { Definition: x4 <= 1.1; } Constraint e72 { Definition: x5 <= 1.1; } Constraint e73 { Definition: x6 <= 1.1; } Constraint e74 { Definition: x7 <= 1.1; } Constraint e75 { Definition: x8 <= 1.1; } Constraint e76 { Definition: x9 <= 1.1; } Constraint e77 { Definition: x1 >= 0.9; } Constraint e78 { Definition: x2 >= 0.9; } Constraint e79 { Definition: x3 >= 0.9; } Constraint e80 { Definition: x4 >= 0.9; } Constraint e81 { Definition: x5 >= 0.9; } Constraint e82 { Definition: x6 >= 0.9; } Constraint e83 { Definition: x7 >= 0.9; } Constraint e84 { Definition: x8 >= 0.9; } Constraint e85 { Definition: x9 >= 0.9; } Constraint e86 { Definition: x48 - x51 >= -0.26; } Constraint e87 { Definition: - x48 + x51 >= -0.26; } Constraint e88 { Definition: x52 - x53 >= -0.26; } Constraint e89 { Definition: - x52 + x53 >= -0.26; } Constraint e90 { Definition: x50 - x51 >= -0.26; } Constraint e91 { Definition: - x50 + x51 >= -0.26; } Constraint e92 { Definition: x51 - x52 >= -0.26; } Constraint e93 { Definition: - x51 + x52 >= -0.26; } Constraint e94 { Definition: - x47 + x53 >= -0.26; } Constraint e95 { Definition: x47 - x53 >= -0.26; } Constraint e96 { Definition: x49 - x50 >= -0.26; } Constraint e97 { Definition: - x49 + x50 >= -0.26; } Constraint e98 { Definition: x46 - x49 >= -0.26; } Constraint e99 { Definition: - x46 + x49 >= -0.26; } Constraint e100 { Definition: - x49 + x54 >= -0.26; } Constraint e101 { Definition: x49 - x54 >= -0.26; } Constraint e102 { Definition: x53 - x54 >= -0.26; } Constraint e103 { Definition: - x53 + x54 >= -0.26; } Constraint e104 { Definition: x48 - x51 <= 0.26; } Constraint e105 { Definition: - x48 + x51 <= 0.26; } Constraint e106 { Definition: x52 - x53 <= 0.26; } Constraint e107 { Definition: - x52 + x53 <= 0.26; } Constraint e108 { Definition: x50 - x51 <= 0.26; } Constraint e109 { Definition: - x50 + x51 <= 0.26; } Constraint e110 { Definition: x51 - x52 <= 0.26; } Constraint e111 { Definition: - x51 + x52 <= 0.26; } Constraint e112 { Definition: - x47 + x53 <= 0.26; } Constraint e113 { Definition: x47 - x53 <= 0.26; } Constraint e114 { Definition: x49 - x50 <= 0.26; } Constraint e115 { Definition: - x49 + x50 <= 0.26; } Constraint e116 { Definition: x46 - x49 <= 0.26; } Constraint e117 { Definition: - x46 + x49 <= 0.26; } Constraint e118 { Definition: - x49 + x54 <= 0.26; } Constraint e119 { Definition: x49 - x54 <= 0.26; } Constraint e120 { Definition: x53 - x54 <= 0.26; } Constraint e121 { Definition: - x53 + x54 <= 0.26; } Constraint e122 { Definition: x46 = 0; } Constraint e123 { Definition: x22 - x55 = 0; } Constraint e124 { Definition: x19 - x56 = 0; } Constraint e125 { Definition: x10 - x57 = 0; } Constraint e126 { Definition: x40 - x58 = 0; } Constraint e127 { Definition: x37 - x59 = 0; } Constraint e128 { Definition: x28 - x60 = 0; } Constraint e129 { Definition: x20 + x23 + x25 = 0; } Constraint e130 { Definition: x14 + x21 = -0.9; } Constraint e131 { Definition: x11 + x15 + x16 = 0; } Constraint e132 { Definition: x12 + x17 = -1; } Constraint e133 { Definition: x13 + x18 + x26 = 0; } Constraint e134 { Definition: x24 + x27 = -1.25; } Constraint e135 { Definition: x38 + x41 + x43 = 0; } Constraint e136 { Definition: x32 + x39 = -0.3; } Constraint e137 { Definition: x29 + x33 + x34 = 0; } Constraint e138 { Definition: x30 + x35 = -0.35; } Constraint e139 { Definition: x31 + x36 + x44 = 0; } Constraint e140 { Definition: x42 + x45 = -0.5; } Procedure MainInitialization; MathematicalProgram powerflow0009p { Objective: objvar; Direction: minimize; Constraints: AllConstraints; Variables: AllVariables; Type: NLP; } Procedure MainExecution { Body: { solve powerflow0009p; } } Procedure MainTermination { Body: { return 1; } } }