On Extending and Comparing Newton–Raphson Variants for Solving Power-Flow Equations

On Extending and Comparing Newton–Raphson Variants for Solving Power-Flow Equations
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关于求解潮流方程的牛顿-拉夫逊变体的扩展和比较

DOI:
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发表时间:
2019
影响因子:
6.6
通讯作者:
F. Giandomenico
F. Giandomenico
中科院分区:
工程技术1区
文献类型:
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作者:
Simone Dutto;Giulio Masetti;S. Chiaradonna;F. Giandomenico

文献摘要

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本文主要研究基于牛顿-拉夫森方法的潮流方程解。有两个主要贡献。首先,尝试利用Wirtinger演算来定义新的解变体。所获得的发展,虽然在其公式中是原创的,但导致了已知的变体。尽管所获得的解决方案的原创性受到损害,但从这种努力中吸取了重要的教训。第二个主要贡献包括对现有的基于复杂变量和真实变量的解决方案策略和基于Wirtinger的解决方案进行深入的比较分析,所有这些解决方案都经过适当的重新制定,以便相互之间进行直接比较。我们的目标是在计算工作量和收敛速度方面研究所述技术的优缺点,这是在选择解决特定电力系统功率流方程的方法时需要考虑的最相关的方面。
This paper focuses on power-flow equations solutions, based on the Newton–Raphson method. Two major contributions are offered. First, the definition of novel solution variants, resorting to Wirtinger calculus, is attempted. The obtained developments, although original in their formulation, led to already known variants. Despite the impaired originality of the obtained solution, there are significant lessons learned from such an effort. The second major contribution consists of a deep comparison analysis of existing solution strategies, based on complex and real variables, and the Wirtinger based ones, all properly reformulated to allow direct comparison with each other. The goal is to investigate strengths and weaknesses of the addressed techniques in terms of computational effort and convergence rate, which are the most relevant aspects to consider while choosing the approach to employ to solve power-flow equations for a specific power system under study.