$title Optimal power flow for a three-bus system $onText For more details please refer to Chapter 6 (Gcode6.2), of the following book: Soroudi, Alireza. Power System Optimization Modeling in GAMS. Springer, 2017. -------------------------------------------------------------------------------- Model type: LP -------------------------------------------------------------------------------- Contributed by Dr. Alireza Soroudi IEEE Senior Member email: alireza.soroudi@gmail.com We do request that publications derived from the use of the developed GAMS code explicitly acknowledge that fact by citing Soroudi, Alireza. Power System Optimization Modeling in GAMS. Springer, 2017. DOI: doi.org/10.1007/978-3-319-62350-4 $offText Set bus / 1*3 / slack(bus) / 3 / Gen / g1*g3 /; Scalar Sbase / 100 /; Alias (bus,node); Table GenData(Gen,*) 'generating units characteristics' b pmin pmax g1 10 0 65 g2 11 0 100; * ----------------------------------------------------- Set GBconect(bus,Gen) 'connectivity index of each generating unit to each bus' / 1.g1, 3.g2 /; Table BusData(bus,*) 'demands of each bus in MW' Pd 2 100; Set conex 'bus connectivity matrix' / 1.2, 2.3, 1.3 /; conex(bus,node)$(conex(node,bus)) = 1; Table branch(bus,node,*) 'network technical characteristics' x Limit 1.2 0.2 50 2.3 0.25 100 1.3 0.4 100 ; branch(bus,node,'x')$(branch(bus,node,'x')=0) = branch(node,bus,'x'); branch(bus,node,'Limit')$(branch(bus,node,'Limit')=0) = branch(node,bus,'Limit'); branch(bus,node,'bij')$conex(bus,node) = 1/branch(bus,node,'x'); ***************************************************** Variable OF, Pij(bus,node), Pg(Gen), delta(bus); Equation const1, const2, const3; *********************************************************************** const1(bus,node)$(conex(bus,node)).. Pij(bus,node) =e= branch(bus,node,'bij')*(delta(bus) - delta(node)); const2(bus).. sum(Gen$GBconect(bus,Gen), Pg(Gen)) - BusData(bus,'pd')/Sbase =e= sum(node$conex(node,bus), Pij(bus,node)); const3.. OF =g= sum(Gen,Pg(Gen)*GenData(Gen,'b')*Sbase); Model loadflow / const1, const2, const3 /; Pg.lo(Gen) = GenData(Gen,'Pmin')/Sbase; Pg.up(Gen) = GenData(Gen,'Pmax')/Sbase; delta.up(bus) = pi; delta.lo(bus) =-pi; delta.fx(slack) = 0; Pij.up(bus,node)$((conex(bus,node))) = 1*branch(bus,node,'Limit')/Sbase; Pij.lo(bus,node)$((conex(bus,node))) =-1*branch(bus,node,'Limit')/Sbase; solve loadflow minimizing OF using lp; Parameter report(bus,*), Congestioncost; report(bus,'Gen(MW)') = sum(Gen$GBconect(bus,Gen), Pg.l(Gen))*sbase; report(bus,'Angle') = delta.l(bus); report(bus,'load(MW)') = BusData(bus,'pd'); report(bus,'LMP($/MWh)') = const2.m(bus)/sbase; Congestioncost = sum((bus,node), Pij.l(bus,node)*(-const2.m(bus) + const2.m(node)))/2; display report, Pij.l, Congestioncost;