Two-stage adaptive robust model for AC network-constrained unit commitment in power systems with uncertain wind power

With wind power being extensively integrated into power systems, its inherent uncertainty and variability pose significant challenges to the power system operational security. Traditional robust optimization methods capture the worst-case scenario, which results in overly conservative decisions, with insufficient considerations on AC network constraints in power systems. To overcome this issue, this paper proposes a novel adaptive robust AC network-constrained unit commitment (AC-NCUC) model that considers both the AC network security and the uncertainty of wind power output in power systems. More specifically, a convex polyhedral uncertainty set is constructed to characterize the uncertain wind power output. Here, the conservativeness of UC dispatch decisions can be adjusted by modifying the size of the convex polyhedral uncertainty set. Then, we combine Benders' decomposition and Newton-Raphson methods to solve the AC-NCUC model for the optimal dispatch decisions. Simulation results on the modified IEEE 6-bus and IEEE RTS 79 systems validate the rationality and validity of our proposed approach. The proposed AC-NCUC model effectively maintains the system security while ensuring economic effectiveness.