Unit commitment with wind generation accounting for transmission congestion

This paper proposes and efficient solution to the unit commitment (UC) schedule of a power system with wind generation including transmission limits. It does this by characterizing the residual demand feasibility set (loadability set) through a set of explicit linear inequalities. This set contains the residual demands that can be served by the available generation resources while also accounting for transmission limits. The UC is then solved by imposing an upper bound condition on the probability of the residual demand not being within the loadability set. This approach differs from the traditional one in that it does not model the numerous UC variables associated with the various wind power realizations as is the case in stochastic or deterministic security analysis.