The power flow problem is an indispensable tool to solve many of the operation and planning problems in the electric grid and has been studied for the last half-century. Currently, popular algorithms require second-order methods, which may lead to poor performance when the initialization points are poor or when the system is stressed. These conditions are becoming more common as both the generation and load profiles changes in the grid. In this paper, we present a hybrid first-order and second-order method that effectively escapes local minima that may trap existing algorithms. We demonstrate the performance of our algorithm on standard IEEE benchmarks.

中文翻译：

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结合 Newton-Raphson 和随机梯度下降进行潮流分析

潮流问题是解决电网中许多运行和规划问题不可或缺的工具，并且已经研究了半个世纪。目前流行的算法需要二阶方法，当初始化点较差或系统压力大时，可能会导致性能不佳。随着电网中发电和负荷曲线的变化，这些情况变得越来越普遍。在本文中，我们提出了一种混合一阶和二阶方法，可以有效地避开可能捕获现有算法的局部最小值。我们在标准 IEEE 基准测试中展示了我们的算法的性能。