Existence and stability conditions of nonlinear probabilistic load flow solutions

Abstract

The paper presents a new method of nonlinear probabilistic load flow calculations forPU-bus. The probabilistic load flow equations have been led out from the quadratic load flow equations. The analysis of load flow equations is performed for 2-bus power system consisting ofPU-bus and slack bus. The nonlinear probabilistic load flow equations may have multiple or no solutions. Some of the solutions are steady state stable and some-unstable.