A scalable method with synchronous parallelization for computing selected eigenvalues of large-scale power system model

IF 3.3 3区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

Electric Power Systems Research Pub Date : 2024-09-23 DOI:10.1016/j.epsr.2024.111085

{"title":"A scalable method with synchronous parallelization for computing selected eigenvalues of large-scale power system model","authors":"","doi":"10.1016/j.epsr.2024.111085","DOIUrl":null,"url":null,"abstract":"<div><div>For small signal stability analysis of power systems, computing eigenvalues of the state space model is a widely used method, but still worthy of study due to computational issues in practical application. For large-scale power systems, high dimension of state space model, unknown distribution of eigenvalues and requirement on computing speed make computation of eigenvalues a challenging task. A computationally efficient method is proposed with utilizing synchronous parallelization for finding eigenvalues of concern in a flexibly specified area on the <em>s</em>-plane. The designed parallel framework achieves exact workload balance among computing units, which is attributed to the kernel eigenvalue solver implemented by Krylov–Schur factorization with fixing subspace dimension and discarding restart process. Satisfactory parallel speedup and numerical stability are obtained. Reliability for finding all target eigenvalues and parallel scalability of the parallelization are validated by numerical experiments on three power systems with different scales.</div></div>","PeriodicalId":50547,"journal":{"name":"Electric Power Systems Research","volume":null,"pages":null},"PeriodicalIF":3.3000,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0378779624009702/pdfft?md5=e12b3f4b95b930fa256bae5c91bff938&pid=1-s2.0-S0378779624009702-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electric Power Systems Research","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0378779624009702","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}

引用次数: 0

Abstract

For small signal stability analysis of power systems, computing eigenvalues of the state space model is a widely used method, but still worthy of study due to computational issues in practical application. For large-scale power systems, high dimension of state space model, unknown distribution of eigenvalues and requirement on computing speed make computation of eigenvalues a challenging task. A computationally efficient method is proposed with utilizing synchronous parallelization for finding eigenvalues of concern in a flexibly specified area on the s-plane. The designed parallel framework achieves exact workload balance among computing units, which is attributed to the kernel eigenvalue solver implemented by Krylov–Schur factorization with fixing subspace dimension and discarding restart process. Satisfactory parallel speedup and numerical stability are obtained. Reliability for finding all target eigenvalues and parallel scalability of the parallelization are validated by numerical experiments on three power systems with different scales.

查看原文本刊更多论文

计算大规模电力系统模型选定特征值的同步并行化可扩展方法

在电力系统的小信号稳定性分析中，计算状态空间模型的特征值是一种广泛使用的方法，但由于实际应用中的计算问题，这种方法仍然值得研究。对于大规模电力系统，状态空间模型的高维度、特征值的未知分布以及对计算速度的要求使得特征值的计算成为一项具有挑战性的任务。本文提出了一种计算高效的方法，利用同步并行化在 s 平面上灵活指定的区域内查找相关特征值。所设计的并行框架在计算单元之间实现了精确的工作量平衡，这归功于通过固定子空间维度和摒弃重启过程的 Krylov-Schur 因式分解实现的内核特征值求解器。并行速度和数值稳定性都令人满意。在三个不同规模的电力系统上进行的数值实验验证了找到所有目标特征值的可靠性和并行化的可扩展性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Electric Power Systems Research 工程技术-工程：电子与电气

CiteScore

7.50

自引率

17.90%

发文量

963

审稿时长

3.8 months

期刊介绍： Electric Power Systems Research is an international medium for the publication of original papers concerned with the generation, transmission, distribution and utilization of electrical energy. The journal aims at presenting important results of work in this field, whether in the form of applied research, development of new procedures or components, orginal application of existing knowledge or new designapproaches. The scope of Electric Power Systems Research is broad, encompassing all aspects of electric power systems. The following list of topics is not intended to be exhaustive, but rather to indicate topics that fall within the journal purview. • Generation techniques ranging from advances in conventional electromechanical methods, through nuclear power generation, to renewable energy generation. • Transmission, spanning the broad area from UHV (ac and dc) to network operation and protection, line routing and design. • Substation work: equipment design, protection and control systems. • Distribution techniques, equipment development, and smart grids. • The utilization area from energy efficiency to distributed load levelling techniques. • Systems studies including control techniques, planning, optimization methods, stability, security assessment and insulation coordination.