Solving the Power Flow Equations: A Monotone Operator Approach
Solving the Power Flow Equations: A Monotone Operator Approach
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求解潮流方程：单调算子方法
DOI：
10.2172/1210207
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
M. Chertkov
中科院分区：
文献类型：
--
作者：
Krishnamurthy Dvijotham;S. Low;M. Chertkov
交流潮流方程是电力系统所有运行方面的基础。在操作实践中，通常使用牛顿-拉夫逊方法及其变体来解决这些问题。这些方法在给定解的良好初始“猜测”的情况下工作良好，这在正常系统操作中总是可用的。然而，随着间歇性发电水平的增加，一个好的初始猜测总是可用的假设不再有效。在本文中，我们解决了这个问题的单调算子的理论。我们表明，它是可能的计算（使用离线优化）的“单调域”的电压相量的空间。给定这个域，有一个简单有效的算法，将找到一个解决方案的域中，或可证明证明，没有解决方案存在于it. We验证的方法在几个IEEE测试用例，并证明离线优化可以进行跟踪和计算的“单调域”包括所有实际相关的潮流解决方案。
The AC power flow equations underlie all operational aspects of power systems. They are solved routinely in operational practice using the Newton-Raphson method and its variants. These methods work well given a good initial “guess” for the solution, which is always available in normal system operations. However, with the increase in levels of intermittent generation, the assumption of a good initial guess always being available is no longer valid. In this paper, we solve this problem using the theory of monotone operators. We show that it is possible to compute (using an offline optimization) a “monotonicity domain” in the space of voltage phasors. Given this domain, there is a simple efficient algorithm that will either find a solution in the domain, or provably certify that no solutions exist in it. We validate the approach on several IEEE test cases and demonstrate that the offline optimization can be performed tractably and the computed “monotonicity domain” includes all practically relevant power flow solutions.