Applications of Homotopy for solving AC Power Flow and AC Optimal Power Flow
Applications of Homotopy for solving AC Power Flow and AC Optimal Power Flow
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同伦在求解交流潮流和交流最优潮流中的应用
DOI：
10.1109/pesgm.2012.6345453
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
M. Hie
中科院分区：
文献类型：
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作者：
S. Cvijic;P. Feldmann;M. Hie
介绍了一种新的求解交流潮流（ACPF）和交流最优潮流（ACOPF）的方法，该方法具有较好的收敛鲁棒性。这种方法利用了连续方法的全局收敛性。延拓方法通过生成一系列非线性问题，并反复和一致地为局部收敛的非线性求解器（如Newton-Raphson）提供良好的初始猜测来实现鲁棒性。同伦在本文中实现，（简称为电力流同伦，PFH），制定了一种方式，逐步转换为“困难”的交流电力流的“容易”的直流。同伦参数的连续变化将方程组从完全线性和凸DC修改为非线性和非凸AC（最优）潮流。结果，获得具有增加的鲁棒性的AC解，并且还可以检测多个AC功率流解。同样地，最优潮流同伦（OPFH）被定义为求解交流最优潮流，通过逐步变换凸直流最优潮流问题。仿真结果提供了一个简单的牛顿-拉夫逊方法和PFH的性能和质量的检测解决方案之间的比较。还进行了内点法和OPFH法之间的比较。
This paper introduces a new paradigm for solving AC Power Flow (ACPF) and AC Optimal Power Flow (ACOPF) with improved convergence robustness. This approach exploits the globally convergent properties of continuation methods. Continuation methods achieve robustness by generating a sequence of nonlinear problems and repeatedly and consistently providing good initial guesses for locally convergent nonlinear solvers such as Newton-Raphson. The Homotopy implemented in this paper, (referred to as Power Flow Homotopy, PFH), is formulated in a way that gradually transforms the “easy” DC into the “difficult” AC Power Flow. Successive changes of the homotopy parameter modify the system of equations from fully linear and convex DC into non-linear and non-convex AC (optimal) power flow. As a result, the AC solution is obtained with increased robustness and multiple AC power flow solutions can also be detected. Similarly, Optimal Power Flow Homotopy (OPFH) is defined for solving AC Optimal Power Flow, by gradually transforming the convex DC OPF problem. Simulation results provide a comparison between the simple Newton-Raphson method and PFH in terms of performance and quality of detected solution. Comparisons are also performed between the Interior-Point method and OPFH.