Probabilistic Approach for Optimal Power Flow Using Cornish Fisher and Gram Charlier Series Expansion

This paper describes the probabilistic approach for the optimal power flow (PA-OPF) analysis to determine system state, power flow, power loss, and generation cost in the electrical power system subjected to specific constraints under uncertain loading conditions. The purpose of this paper is to analyze the benefits of PA-OPF with their relative importance and applications in power system planning. The proposed PA-OPF has been tested on IEEE 14 bus system. Comparative performance analysis of PA-OPF using Cornish Fisher(CF) expansion, Gram Charlier series (GCS) expansion, and Monte Carlo simulation (MCS) have been presented.