Stochastic power flow analysis of electrical distributed generation systems

A Monte Carlo based power flow algorithm that integrates the deterministic and the stochastic natures of the new structured, electrical distributed generation systems is proposed. The uncertainties in both the locations and the states (on or off) of the distributed generation (DG) units constitute the random parameters of the studied systems. A novel algorithm to incorporate these parameters into the Newton-Raphson solution of the power flow equations is carefully designed and implemented in this paper. Monte Carlo simulation is employed to perform the analysis of all the possible operation scenarios of the system under study and thus ensure the validity of the results. The proposed algorithm is employed to obtain the power flow solution for a typical distributed generation system involving several DG units and the results obtained are presented and discussed.