A Simplified Stability Analysis Method for Multi-Converter System Based on Complex-Valued Node Admittance Model

IF 3.8 2区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Transactions on Power Delivery Pub Date : 2025-03-21 DOI:10.1109/TPWRD.2025.3553679

Peng Wang;Junpeng Ma;Shunliang Wang;Weitao Wang;Rui Zhang;Tianqi Liu

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Abstract

The zero points of the determinant of the node admittance model (NAM) have been applied to address the stability issues in power systems with high-penetration converters. Yet, the NAM generally relies on the rotations, i.e., the dynamic phase of each converter, moreover, the frequency coupling effect is neglected via NAM. To fill this gap, this paper presents the concept of a unified αβ-frame complex-valued NAM, with which different converters as well as the passive components can be incorporated to form an s-domain model for a complex system. Additionally, the intrinsic relationship among the αβ-frame complex-valued NAM, the dq-frame NAM, and the sequence-domain NAM is revealed from a physical perspective. The proposed model merely relies on the initial phase of the voltage at each node and accurately reflects the frequency coupling effect. Furthermore, considering the frequency coupling, the consistency between the zero points of the determinant of αβ-frame complex-valued NAM and the eigenvalues derived from the state-space model is demonstrated. Finally, the effectiveness of the modeling approach and stability criterion is validated by applying them to the 3-machine system with different types of converters. Besides, the effect of the placement and capacity of converters based on grid-forming control on the stability performance in the multi-converter system is revealed.

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基于复值节点导纳模型的多变流器系统简化稳定性分析方法

节点导纳模型（NAM）的行列式零点已被应用于求解高穿通变流器电力系统的稳定性问题。然而，非线性非线性通常依赖于旋转，即每个变换器的动态相位，并且通过非线性非线性忽略了频率耦合效应。为了填补这一空白，本文提出了统一αβ-框架复值NAM的概念，利用该概念，可以将不同的变换器和无源元件合并到复杂系统的s域模型中。此外，从物理角度揭示了αβ-框架络合值NAM、dq-框架NAM和序列域NAM之间的内在关系。该模型仅依赖于各节点电压的初始相位，能准确地反映频率耦合效应。进一步，在考虑频率耦合的情况下，证明了αβ-框架复值NAM的行列式零点与状态空间模型的特征值的一致性。最后，将建模方法和稳定性判据应用于具有不同类型变流器的三机系统，验证了其有效性。此外，还揭示了基于成网控制的变流器位置和容量对多变流器系统稳定性能的影响。

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

IEEE Transactions on Power Delivery 工程技术-工程：电子与电气

CiteScore

9.00

自引率

13.60%

发文量

513

审稿时长

6 months

期刊介绍： The scope of the Society embraces planning, research, development, design, application, construction, installation and operation of apparatus, equipment, structures, materials and systems for the safe, reliable and economic generation, transmission, distribution, conversion, measurement and control of electric energy. It includes the developing of engineering standards, the providing of information and instruction to the public and to legislators, as well as technical scientific, literary, educational and other activities that contribute to the electric power discipline or utilize the techniques or products within this discipline.