USING SECOND-ORDER CONE PROGRAMMING FOR POWER FLOW ANALYSIS CONSIDERING ZIP LOAD MODEL IN POWER DISTRIBUTION SYSTEMS

Abstract

This paper presents a second-order cone programming (SOCP) model aiming at power flow analysis in radial power distribution systems. Calculation results obtained from this SOCP formulation are almost identical compared to the solutions using the Newton-Raphson method. In addition, the proposed SOCP model facilitates the incorporation of the system of nonlinear and non-convex power flow equations into optimization problems in the radial electrical distribution grid. The optimization problems based on the second-order conic model of the power flow equations are convex; therefore, the solutions to be found are globally optimal. At the same time, the proposed SOCP model considers the variation in power consumption of loads according to the voltage (ZIP load model) using the Newton binomial approximation approach. The developed SOCP model is validated on an IEEE 33-node distribution network using the programming language GAMS and the commercial solver CPLEX.