An MISOCP-Based Solution Approach to the Reactive Optimal Power Flow Problem
Sezen Ece Kayack, Burak Kocuk
Abstract
In this letter, we present an alternative mixed-integer non-linear programming formulation of the reactive optimal power flow (ROPF) problem. We utilize a mixed-integer second-order cone programming (MISOCP) based approach to find global optimal solutions of the proposed ROPF problem formulation. We strengthen the MISOCP relaxation via the addition of convex envelopes and cutting planes. Computational experiments on challenging test cases show that the MISOCP-based approach yields promising results compared to a semidefinite programming based approach from the literature.
Topics & Concepts
Mathematical optimizationInteger programmingSemidefinite programmingSecond-order cone programmingAC powerPower flowCutting-plane methodRelaxation (psychology)Regular polygonInteger (computer science)Stochastic programmingFlow (mathematics)Convex optimizationMathematicsComputer scienceElectric power systemPower (physics)PhysicsQuantum mechanicsProgramming languagePsychologySocial psychologyGeometryOptimal Power Flow DistributionElectric Power System OptimizationPower System Optimization and Stability