Complex-Frequency Synchronization of Converter-Based Power Systems

IF 4 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

IEEE Transactions on Control of Network Systems Pub Date : 2024-07-01 DOI:10.1109/TCNS.2024.3420983

Xiuqiang He;Verena Häberle;Florian Dörfler

{"title":"Complex-Frequency Synchronization of Converter-Based Power Systems","authors":"Xiuqiang He;Verena Häberle;Florian Dörfler","doi":"10.1109/TCNS.2024.3420983","DOIUrl":null,"url":null,"abstract":"In this article, we study phase–amplitude multivariable dynamics in converter-based power systems from a complex-frequency perspective. Complex frequency represents the rate of change of voltage amplitude and phase angle by its real and imaginary parts, respectively. This emerging notion is of significance as it accommodates the multivariable characteristics of power networks, where active power and reactive power are inherently coupled with both voltage amplitude and phase. We propose the notion of complex-frequency synchronization to study the phase–amplitude multivariable stability issue in a power system with dispatchable virtual oscillator-controlled converters. To achieve this, we separate the system into linear fast dynamics and approximately linear slow dynamics. The linearity property makes it tractable to analyze fast complex-frequency synchronization and slower voltage stabilization. From the perspective of complex frequency and complex-frequency synchronization, we provide novel insights into the equivalence of dispatchable virtual oscillator control and complex-power–frequency droop control, stability analysis methods, and stability criteria. Our study offers a practical solution to address challenging stability issues in converter-based power systems.","PeriodicalId":56023,"journal":{"name":"IEEE Transactions on Control of Network Systems","volume":"12 1","pages":"787-799"},"PeriodicalIF":4.0000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Control of Network Systems","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10578001/","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}

引用次数: 0

Abstract

In this article, we study phase–amplitude multivariable dynamics in converter-based power systems from a complex-frequency perspective. Complex frequency represents the rate of change of voltage amplitude and phase angle by its real and imaginary parts, respectively. This emerging notion is of significance as it accommodates the multivariable characteristics of power networks, where active power and reactive power are inherently coupled with both voltage amplitude and phase. We propose the notion of complex-frequency synchronization to study the phase–amplitude multivariable stability issue in a power system with dispatchable virtual oscillator-controlled converters. To achieve this, we separate the system into linear fast dynamics and approximately linear slow dynamics. The linearity property makes it tractable to analyze fast complex-frequency synchronization and slower voltage stabilization. From the perspective of complex frequency and complex-frequency synchronization, we provide novel insights into the equivalence of dispatchable virtual oscillator control and complex-power–frequency droop control, stability analysis methods, and stability criteria. Our study offers a practical solution to address challenging stability issues in converter-based power systems.

查看原文本刊更多论文

基于变流器的电力系统的复频同步

本文从复频率的角度研究了基于变换器的电力系统的相幅多变量动力学。复频率分别用实部和虚部表示电压幅值和相角的变化率。这一新兴概念具有重要意义，因为它适应了电网的多变量特性，其中有功功率和无功功率固有地与电压幅值和相位耦合。本文提出复频同步的概念来研究具有可调度虚振控制变流器的电力系统的相幅多变量稳定性问题。为了实现这一点，我们将系统分为线性快速动力学和近似线性慢动力学。线性特性使其易于分析快速复频同步和慢速稳压。从复频率和复频率同步的角度，我们对可调度虚拟振荡器控制与复工频下垂控制的等价性、稳定性分析方法和稳定性准则提供了新的见解。我们的研究为解决基于变流器的电力系统中具有挑战性的稳定性问题提供了一个实用的解决方案。

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

IEEE Transactions on Control of Network Systems Mathematics-Control and Optimization

CiteScore

7.80

自引率

7.10%

发文量

169

期刊介绍： The IEEE Transactions on Control of Network Systems is committed to the timely publication of high-impact papers at the intersection of control systems and network science. In particular, the journal addresses research on the analysis, design and implementation of networked control systems, as well as control over networks. Relevant work includes the full spectrum from basic research on control systems to the design of engineering solutions for automatic control of, and over, networks. The topics covered by this journal include: Coordinated control and estimation over networks, Control and computation over sensor networks, Control under communication constraints, Control and performance analysis issues that arise in the dynamics of networks used in application areas such as communications, computers, transportation, manufacturing, Web ranking and aggregation, social networks, biology, power systems, economics, Synchronization of activities across a controlled network, Stability analysis of controlled networks, Analysis of networks as hybrid dynamical systems.