Multiple solutions of nonlinear probabilistic load flow equations

Abstract

In this paper, the probabilistic load flow equations have been proved to belong to quatric equations. TRhe given variables are the expected values and the moments of the second order of bus powers. The searched values are the expected values and the moments of the second order of the rectangular component of bus voltage. The probabilistic solutions have many values and according to the starting point the iterative process converges to different solutions. Because of the dimension of the problem the analysis of multiple solutions has been carried for 2-bus system.