Population based Newton Raphson in search of all multiple power flow solutions

In this paper, we prove that conventional method, Netwon Raphson is able to find multiple load flow solutions when the initial search point is initialized randomly within a certain range. Numerical experiments on two example systems (5-bus and 7-bus) show that the proposed algorithm can be used as efficient guide for simultaneously and globally searching multiple solutions regions. The simplicity of the concept based on incorporating a population consisting of candidate solutions with random initial search space.