Optimal reactive power dispatch with fuzzy variables

The authors present a consistent treatment of the optimal reactive power dispatch problem taking into account the uncertainty associated with load values. Linguistic declarations of loads are translated into possibility distribution functions via fuzzy sets. The problem is decomposed into four subproblems via Dantzig-Wolfe decomposition for reducing the problem dimensions. Voltage constraints within each subproblem are modeled via fuzzy sets to bias the final solution toward the static security region. A numerical example is presented to demonstrate the applicability of the method