Chacko K., Alizadeh M.I., Capitanescu F., Li P.
IEEE Transactions on Industry Applications, vol. 62, n° 4, pp. 5886-5896, 2026
The increasing penetration of renewable generation in power systems poses a significant challenge due to its strong uncertainty. Satisfying security under any realization of the uncertainty may be cost prohibitive. Accordingly, we propose a chance-constrained approach to AC security-constrained optimal power flow (AC-SCOPF) under uncertainty. This chance constrained optimization (CCOPT) problem aims to simultaneously satisfy the operation constraints for all N-1 contingencies with a user-defined confidence level (e.g. 95%). The large-scale nonlinear CCOPT problem is solved by the recently developed inner-outer approximation algorithm which iterates between the solution of two nonlinear programming (NLP) problems, the inner and the outer approximations of the original problem. The algorithm guarantees tractability for solving nonlinear CCOPT problems under non-Gaussian distributed uncertainties. A 5-bus power system and the 60-bus Nordic system with uncertain wind power penetration are used to illustrate the efficacy of the proposed approach.
