Capacitor placement and real time control in large-scale unbalanceddistribution systems: loss reduction formula, problem formulation,solution methodology and mathematical justification

摘要

A comprehensive study of capacitor placements and real-timecontrol in general unbalanced distribution systems is undertaken. Newdevelopments in a loss reduction formula, problem formulations, solutionmethodology and mathematical justification are presented. The problem isdecoupled into two subproblems: the capacitor placement subproblem andthe real-time control subproblem. An effective solution algorithm forplacing capacitors and determining their real-time control schemes forgeneral unbalanced distribution systems is proposed. To meet the needfor efficient implementation in real-time environments, a fast pseudogradient type mechanism for deriving capacitor control settings isincorporated into the solution algorithms. A quadratic integerprogramming based approach is proposed to determine the number,locations and sizing of capacitors to be placed in the distributionsystems. The subproblem of determining capacitor control settings undervarying loading conditions is formulated as another quadratic integerprogramming problem. Mathematical justification is provided to show thatthe proposed algorithms are guaranteed to yield local optimal solutions