Local Solutions of the Optimal Power Flow Problem
Local Solutions of the Optimal Power Flow Problem
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DOI：
10.1109/tpwrs.2013.2274577
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发表时间：
2013-08
影响因子：
6.6
通讯作者：
W. Bukhsh;A. Grothey;K. McKinnon;Paul A. Trodden
中科院分区：
文献类型：
--
作者：
W. Bukhsh;A. Grothey;K. McKinnon;Paul A. Trodden
交流最优潮流问题的局部最优解的存在性问题一直是人们感兴趣的问题。本文介绍了局部最优的各种测试网络，包括修改版本的常见网络的例子。我们表明，局部最优可能会发生，因为可行域是断开和/或因为在约束的非线性。标准的局部优化技术收敛到这些局部最优。本文中所有示例的电压界限均在偏离标称值±5%和±10%之间。具有局部最优解的示例可以在在线存档（http：//www.maths.ed.ac.uk/optenergy/LocalOpt/）中获得，并且可以用于测试OPF的局部或全局优化技术。最后，我们用我们的测试例子来说明最近的半定规划方法，旨在找到全局解决方案的OPF的行为。
The existence of locally optimal solutions to the AC optimal power flow problem (OPF) has been a question of interest for decades. This paper presents examples of local optima on a variety of test networks including modified versions of common networks. We show that local optima can occur because the feasible region is disconnected and/or because of nonlinearities in the constraints. Standard local optimization techniques are shown to converge to these local optima. The voltage bounds of all the examples in this paper are between ±5% and ±10% off-nominal. The examples with local optima are available in an online archive (http://www.maths.ed.ac.uk/optenergy/LocalOpt/) and can be used to test local or global optimization techniques for OPF. Finally we use our test examples to illustrate the behavior of a recent semi-definite programming approach that aims to find the global solution of OPF.