Modeling and analysis of stochastic AC-OPF based on SDP relaxation technique

Optimal power flow (OPF) is the foundation for many power system optimization problems, of which the modeling and solution methodology has always been a hot topic in this research area. Recently, convex relaxation technique to solve AC constrained OPF (AC-OPF) has attracted wide attention as its ability to find global optima and polynomial-time computation complexity. However, existing models in this research area are mostly formulated as deterministic problem without considering wind power generation uncertainty which has brought great challenges to power systems' operation, especially scheduling. Based on the semidefinite (SDP) relaxation technique to solve AC-OPF problem, we built a stochastic AC-OPF model and proposed its solution methodology to cope with wind power generation uncertainty in this paper. The case study based on the modified IEEE 14 bus system showed the proposed method's rationality and effectiveness to improve the system's security, reliability and capability to integrate wind power generation.