Semi-Implicit Continuous Newton Method for Power Flow Analysis

IF 5.9 2区 工程技术 Q2 ENERGY & FUELS
Ruizhi Yu;Wei Gu;Yijun Xu;Shuai Lu;Suhan Zhang
{"title":"Semi-Implicit Continuous Newton Method for Power Flow Analysis","authors":"Ruizhi Yu;Wei Gu;Yijun Xu;Shuai Lu;Suhan Zhang","doi":"10.17775/CSEEJPES.2024.05770","DOIUrl":null,"url":null,"abstract":"As an effective emulator of ill-conditioned power flow, continuous Newton methods (CNMs) have been extensively investigated using explicit and implicit numerical integration algorithms. However, explicit CNMs often suffer from non-convergence due to their limited stability region, while implicit CNMs require additional iterative loops to solve nonlinear equations. To address this, we propose a semi-implicit version of CNM. We formulate the power flow equations as a set of differential algebraic equations (DAEs), and solve the DAEs with the stiffly accurate Rosenbrock type method (SARM). The proposed method succeeds the numerical robustness from the implicit CNM framework while prevents the iterative solution of nonlinear systems, hence revealing higher convergence speed and computation efficiency. We develop a novel 4-stage, 3rd-order hyper-stable SARM with an embedded 2nd-order formula for adaptive step size control. This design enhances convergence through damping adjustment. Case studies on ill-conditioned systems verify the alleged performance. An algorithm extension for MATPOWER is made available on Github for benchmarking.","PeriodicalId":10729,"journal":{"name":"CSEE Journal of Power and Energy Systems","volume":"11 4","pages":"1957-1961"},"PeriodicalIF":5.9000,"publicationDate":"2025-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=11006441","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"CSEE Journal of Power and Energy Systems","FirstCategoryId":"5","ListUrlMain":"https://ieeexplore.ieee.org/document/11006441/","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENERGY & FUELS","Score":null,"Total":0}
引用次数: 0

Abstract

As an effective emulator of ill-conditioned power flow, continuous Newton methods (CNMs) have been extensively investigated using explicit and implicit numerical integration algorithms. However, explicit CNMs often suffer from non-convergence due to their limited stability region, while implicit CNMs require additional iterative loops to solve nonlinear equations. To address this, we propose a semi-implicit version of CNM. We formulate the power flow equations as a set of differential algebraic equations (DAEs), and solve the DAEs with the stiffly accurate Rosenbrock type method (SARM). The proposed method succeeds the numerical robustness from the implicit CNM framework while prevents the iterative solution of nonlinear systems, hence revealing higher convergence speed and computation efficiency. We develop a novel 4-stage, 3rd-order hyper-stable SARM with an embedded 2nd-order formula for adaptive step size control. This design enhances convergence through damping adjustment. Case studies on ill-conditioned systems verify the alleged performance. An algorithm extension for MATPOWER is made available on Github for benchmarking.
潮流分析的半隐式连续牛顿法
连续牛顿法作为一种有效的病态潮流仿真方法,利用显式和隐式数值积分算法得到了广泛的研究。然而,显式cnm由于其稳定区域有限,往往存在不收敛的问题,而隐式cnm需要额外的迭代循环来求解非线性方程。为了解决这个问题,我们提出了CNM的半隐式版本。我们将潮流方程表示为微分代数方程(DAEs),并使用刚性精确Rosenbrock型方法(SARM)求解DAEs。该方法继承了隐式CNM框架的数值鲁棒性,同时避免了非线性系统的迭代求解,具有较高的收敛速度和计算效率。我们开发了一种新颖的四阶三阶超稳定SARM,该SARM具有自适应步长控制的嵌入二阶公式。本设计通过阻尼调节增强收敛性。对病态系统的案例研究验证了所谓的性能。在Github上提供了MATPOWER的算法扩展,用于基准测试。
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
CiteScore
11.80
自引率
12.70%
发文量
389
审稿时长
26 weeks
期刊介绍: The CSEE Journal of Power and Energy Systems (JPES) is an international bimonthly journal published by the Chinese Society for Electrical Engineering (CSEE) in collaboration with CEPRI (China Electric Power Research Institute) and IEEE (The Institute of Electrical and Electronics Engineers) Inc. Indexed by SCI, Scopus, INSPEC, CSAD (Chinese Science Abstracts Database), DOAJ, and ProQuest, it serves as a platform for reporting cutting-edge theories, methods, technologies, and applications shaping the development of power systems in energy transition. The journal offers authors an international platform to enhance the reach and impact of their contributions.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信