The Dnalysis of Three Phase Power Flow Calculation Based on Differential Evolution-Newton Raphson

• 1、Northeastern University，College of Information Science and Engineering，ShenYang,110819

Abstract：In this paper, how to choose the initial value is the main focus for the Newton-like power flow algorithm. So we has put forword the new convergence theorem of Newton-like power flow algorithm based on affine invariants and given the detailed proof. At the same time we have got a necessary condition for the convergence of Newton's method which is easily used for judge the suitability of the selected initial value. The correctness and validity of the convergence theorem of Newton-like power flow algorithm was proved by the simulation of IEEE node system. At last, according to the advantage of a strong global convergence of differential evolution algorithm and lettting the Newton method as the core, we have put forword Newton power flow calculation method based on differential evolution and affine invariants. We also call it DE-NR algorithm. This DE-NR algorithm can provide reasonable initial value to Newton method, so Newton method will get a inevitable convergence result when it is used to calculate three-phase power flow.

Keywords： Three-phase flow convergence domain DE-NR algorithm Newton method