Tensor power flow formulations for multidimensional analyses in distribution systems

IF 5 2区工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

International Journal of Electrical Power & Energy Systems Pub Date : 2024-10-19 DOI:10.1016/j.ijepes.2024.110275

Edgar Mauricio Salazar Duque , Juan S. Giraldo , Pedro P. Vergara , Phuong H. Nguyen , Han (J.G.) Slootweg

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引用次数: 0

Abstract

In this paper, we present two multidimensional power flow formulations based on a fixed-point iteration (FPI) algorithm to efficiently solve hundreds of thousands of Power flows (PFs) in distribution systems. The presented algorithms are the base for a new TensorPowerFlow (TPF) tool and shine for their simplicity, benefiting from multicore Central processing unit (CPU) and Graphics processing unit (GPU) parallelization. We also focus on the mathematical convergence properties of the algorithm, showing that its unique solution is at the practical operational point. The proof is validated using numerical simulations showing the robustness of the FPI algorithm compared to the classical Newton–Raphson (NR) approach. In the case study, a benchmark with different PF solution methods is performed, showing that for applications requiring a yearly simulation at 1-minute resolution, the computation time is decreased by a factor of 164, compared to the NR in its sparse formulation. Finally, a set of applications is described, highlighting the potential of the proposed formulations over a wide range of analyses in distribution systems.

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用于配电系统多维分析的张量功率流公式

在本文中，我们介绍了基于定点迭代（FPI）算法的两种多维电力流公式，可有效解决配电系统中成千上万的电力流（PF）问题。所提出的算法是新的 TensorPowerFlow（TPF）工具的基础，因其简便性而大放异彩，并受益于多核中央处理器（CPU）和图形处理器（GPU）并行化。我们还重点研究了该算法的数学收敛特性，表明其唯一解处于实际操作点。通过数值模拟验证了这一证明，与经典的牛顿-拉斐森（NR）方法相比，FPI 算法具有很强的鲁棒性。在案例研究中，使用不同的 PF 求解方法进行了基准测试，结果表明，对于需要每年以 1 分钟分辨率进行模拟的应用，计算时间比稀疏表述的 NR 缩短了 164 倍。最后，介绍了一系列应用，突出了所提公式在配电系统各种分析中的潜力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Electrical Power & Energy Systems 工程技术-工程：电子与电气

CiteScore

12.10

自引率

17.30%

发文量

1022

审稿时长

51 days

期刊介绍： The journal covers theoretical developments in electrical power and energy systems and their applications. The coverage embraces: generation and network planning; reliability; long and short term operation; expert systems; neural networks; object oriented systems; system control centres; database and information systems; stock and parameter estimation; system security and adequacy; network theory, modelling and computation; small and large system dynamics; dynamic model identification; on-line control including load and switching control; protection; distribution systems; energy economics; impact of non-conventional systems; and man-machine interfaces. As well as original research papers, the journal publishes short contributions, book reviews and conference reports. All papers are peer-reviewed by at least two referees.