Linear Probabilistic Power Flow for Islanded Microgrids

Abstract

The problem of power flow in islanded operation of microgrids is more complex than in interconnected mode due to the absence of a slack bus. In addition, the power flow must consider uncertainties in a probabilistic framework. Probabilistic power flow has a high computational cost due to the need to assess a large number of states and the use of iterative methods for nonlinear systems. Consequently, it is interesting to develop linear power flow algorithms for islanded microgrids. The main aim of this paper is to propose a linear power flow algorithm based on the Gauss Zbus method for islanded microgrids. This algorithm was used to evaluate voltages and angular frequency in a probabilistic power flow method based on Monte Carlo Simulation. The test results with the proposed method demonstrated that it achieves high accuracy and significant computational cost savings (about of 99%) over the Newton-Raphson Method.