Stochastic optimal power flow approach considering correlated probabilistic load and wind farm generation

This study presents a heuristic approach to solve the chance- constrained stochastic optimal power problem, considering Gaussian loads, non-Gaussian wind generations, as well as the correlation among these power injections. Such a heuristic approach starts from the result of a deterministic optimal power flow problem, then converts all the chance constraints into equivalent deterministic constraints through probabilistic power flow calculations, and further verifies the satisfaction of these equivalent constraints. If some violation happens, the corresponding constraint bounds are modified according to a heuristic strategy and an updated deterministic optimal power flow problem is solved again. This process is repetitively run until no violation of constraints exists. Case studies on a modified IEEE 118-bus system are presented and the results verify the effectiveness of the proposed heuristic stochastic optimal power flow approach.