Impedance modeling and quantitative stability analysis of grid-connected voltage source converters under complex unbalanced conditions

IF 3.3 3区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Electric Power Systems Research Pub Date : 2024-09-27 DOI:10.1016/j.epsr.2024.111084

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Abstract

The stability issues caused by voltage source converters (VSCs), which are commonly used in renewable energy systems, are investigated in this paper. Much literature has investigated the impedance models and quantitative stability analysis for converters under the weak and unbalanced grid. However, on the one hand, harmonic-transfer-function (HTF)-based modeling methods are complex, and the established infinite-order models may suffer from unreasonable truncation. On the other hand, these existing impedance models without considering all unbalance factors are inaccurate. Both of these may bring wrong stability analysis results. Therefore, this paper proposes a simple impedance extension method and considers all unbalance factors to derive the impedance model of the converter. However, due to the established higher-order impedance model, the traditional impedance-ratio based stability analysis method is not applicable to multi-input multi-output (MIMO) systems. The commonly used eigenvalue-based GNC and diagonalization-based methods applicable to MIMO systems are cumbersome and not suitable for quantitative analysis. Therefore, in this paper, a quantitative analysis tool of system stability based on the phase-frequency characteristics of determinants is developed. Then, stability regions in the multi-parameter space are obtained. Finally, the established impedance model and the quantitative analysis results are validated via both simulations and hardware experiments.

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复杂不平衡条件下并网电压源转换器的阻抗建模和定量稳定性分析

本文研究了可再生能源系统中常用的电压源变流器（VSC）引起的稳定性问题。许多文献研究了弱电网和不平衡电网下变流器的阻抗模型和定量稳定性分析。然而，一方面，基于谐波传递函数（HTF）的建模方法比较复杂，而且已有的无穷阶模型可能存在不合理截断的问题。另一方面，这些现有的阻抗模型没有考虑所有的不平衡因素，是不准确的。这两种情况都可能带来错误的稳定性分析结果。因此，本文提出了一种简单的阻抗扩展方法，并考虑所有不平衡因素来推导变流器的阻抗模型。然而，由于已经建立了高阶阻抗模型，传统的基于阻抗比的稳定性分析方法不适用于多输入多输出 (MIMO) 系统。常用的基于特征值的 GNC 和基于对角线化的方法适用于 MIMO 系统，但这些方法比较繁琐，不适合定量分析。因此，本文开发了一种基于行列式相频特性的系统稳定性定量分析工具。然后，得到多参数空间中的稳定区域。最后，通过模拟和硬件实验验证了所建立的阻抗模型和定量分析结果。保留所有权利。

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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.