This paper describes a methodology for the N-k contingency analysis of bulk power systems. The method encompasses the evaluation of contingencies’ effects on the power system over a range of system demand levels. The proposed model is inherently a multi-period bilevel optimization problem. Unlike the conventional bilevel optimization problems for the N-k contingency analysis, the proposed model considers the effects of reactive power dispatch, losses, and voltage profile. In doing so, the problem is formulated as a multi-period AC-based bilevel mixed-integer nonlinear programming (MINLP) problem. To guarantee the global optimality of the solution, this paper linearizes and then transforms it into a one-level mixed-integer linear programming (MILP) problem using different linearization techniques and the duality theory. The simulation results on the annual load profile of the IEEE Reliability Test System (RTS) verify the effectiveness of the proposed model.

本文介绍了大功率系统Nk权变分析的方法。该方法包括在系统需求水平范围内评估突发事件对电力系统的影响。所提出的模型本质上是一个多周期的双层优化问题。不同于传统的Nk双层优化问题权变分析，提出的模型考虑了无功功率分配，损耗和电压曲线的影响。这样做时，该问题被公式化为基于AC的多周期双级混合整数非线性规划（MINLP）问题。为了保证解的全局最优性，本文使用不同的线性化技术和对偶理论将其线性化，然后将其转换为一个一级混合整数线性规划（MILP）问题。IEEE可靠性测试系统（RTS）的年度负载曲线的仿真结果证明了该模型的有效性。