Impact of wind correlation and load correlation on probabilistic load flow of radial distribution systems

This paper presents a probabilistic analysis of radial distribution systems considering correlated nodal load demands and correlated wind power sources. The loads and wind power sources are modeled as probability distribution functions. Cholesky factorization method is used to generate correlated nodal power samples and correlated wind power injection samples. Monte Carlo Simulation (MCS) is used for the Probabilistic Load Flow (PLF) procedure. A comparison is carried out for various scenarios of correlations. The power loss variation and voltage profile variation for the various scenarios are observed for the various scenarios. The results are analyzed for an IEEE 33 bus radial distribution system.