An Efficient Homotopy Method for Solving the Post-Contingency Optimal Power Flow to Global Optimality
An Efficient Homotopy Method for Solving the Post-Contingency Optimal Power Flow to Global Optimality
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DOI：
10.1109/access.2022.3224162
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发表时间：
2022
期刊：
影响因子：
3.9
通讯作者：
Sangwoo Park;Elizabeth Glista;J. Lavaei;S. Sojoudi
中科院分区：
文献类型：
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作者：
Sangwoo Park;Elizabeth Glista;J. Lavaei;S. Sojoudi
最优潮流（OPF）是电力系统分析中的一个基本问题，其目的是确定使发电成本最小的电网稳态运行点。在预测组件故障，如输电线路或发电机停机，它也是重要的是要找到最佳的校正行动的功率流分布在网络上。由于潮流方程的非凸性和实际中大量的事故情况，寻找这些事故后的最优潮流问题的解决方案是具有挑战性的。在本文中，我们介绍了同伦方法来解决后意外事件行动，这涉及到一系列的中间优化问题，逐步转化为原来的OPF问题，每个意外事件-OPF问题。我们表明，给定一个整体的解决方案，原来的OPF问题，一个整体的解决方案的应急问题，可以得到使用这种同伦方法，在一定的条件下。波兰和其他欧洲网络上的模拟，我们证明了所提出的同伦方法的有效性是依赖于同伦路径的选择和同伦产生一个改进的解决方案，在许多情况下。对于至少5%的测试用例，坏的局部极小值被确定，同伦方法产生了一个解决方案，显着优于国家的最先进的内点方法，在灾难性的应急情况下，降低违规成本。
Optimal power flow (OPF) is a fundamental problem in power systems analysis for determining the steady-state operating point of a power network that minimizes the generation cost. In anticipation of component failures, such as transmission line or generator outages, it is also important to find optimal corrective actions for the power flow distribution over the network. The problem of finding these post-contingency solutions to the OPF problem is challenging due to the nonconvexity of the power flow equations and the large number of contingency cases in practice. In this paper, we introduce a homotopy method to solve for the post-contingency actions, which involves a series of intermediate optimization problems that gradually transform the original OPF problem into each contingency-OPF problem. We show that given a global solution to the original OPF problem, a global solution to the contingency problem can be obtained using this homotopy method, under some conditions. With simulations on Polish and other European networks, we demonstrate that the effectiveness of the proposed homotopy method is dependent on the choice of the homotopy path and that homotopy yields an improved solution in many cases. For at least 5% of the test cases, bad local minima were identified, and the homotopy method yielded a solution that was significantly better than state-of-the-art interior point methods in terms of reducing the violation cost during a catastrophic contingency scenario.