An iterative two‐stage PSCOPF method considering line fault uncertainty under typhoon influence

Abstract

AbstractTyphoon weather poses a significant threat to the security and stability of the power system, as it can potentially lead to the disconnection of transmission lines. Concurrently, there exists substantial uncertainty regarding which specific lines may become disconnected under such weather conditions. The preventive security constrained optimal power flow (PSCOPF) is one of the main methods to address this issue. However, the current PSCOPF exhibits low computational efficiency due to the requirement of analysing all line faults through the N‐1 check. Therefore, this paper proposes a PSCOPF method based on two‐stage optimization. Firstly, the concentric relaxation method is employed to screen and obtain the critical line faults, thereby reducing the total quantity of security constraints associated with N‐1 line fault scenarios. Secondly, the incorporation of scenario transition constraints is introduced to decompose the PSCOPF model into OPF (optimal power flow) models under N‐0 scenarios and N‐1 critical line fault scenarios, then solve iteratively to achieve multi‐scenario decoupling. Finally, the proposed method was validated on the IEEE30 test system to demonstrate its capability to ensure economics in the N‐0 scenario and security in N‐1 scenarios.