基于阻抗聚合和s域节点导纳矩阵的电力系统谐振稳定性分析方法

何冰鑫 , 李探 , 李志闯 , 郭勇帆 , 张哲任 , 徐政 , 宾子君

南方电网技术 ›› 2026, Vol. 20 ›› Issue (4) : 75 -86.

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南方电网技术 ›› 2026, Vol. 20 ›› Issue (4) : 75 -86. DOI: 10.13648/j.cnki.issn1674-0629.2026.04.007

基于阻抗聚合和s域节点导纳矩阵的电力系统谐振稳定性分析方法

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Resonance Stability Analysis Method for Power Systems Based on Impedance Aggregation and s-Domain Node Admittance Matrix

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摘要

由于电力电子设备的负电阻效应,高比例新能源电力系统面临突出的谐振稳定性问题。受限于大量高阶行列式计算,传统s域节点导纳矩阵法在处理大型系统时效率较低。针对上述问题,通过阻抗聚合对s域节点导纳矩阵法进行优化,实现高比例新能源电力系统谐振稳定性的快速分析。首先,介绍了高比例新能源电力系统中典型元件的s域阻抗模型和传统s域节点导纳矩阵法的流程。其次,提出了不依赖聚合系统内部拓扑和规模的通用阻抗聚合方法,揭示了阻抗聚合系统谐振模态和节点电压振型的部分继承性,并引入区域可观度和区域耦合度指标以区分全局模态和局部模态。然后,提出了优化方法的节点编号规则和分析步骤,将全系统谐振稳定性分析转换为各子系统结果的集合,并从渐近时间复杂度角度验证了效率提升。最后,以浙江省某海上风电系统为例对其进行谐振稳定性分析,验证了所提方法的有效性。

Abstract

Due to the negative resistance characteristics of power electronic devices, high-penetration renewable energy power systems face significant resonance stability issues. Limited by heavy high-order determinant computations, the conventional s-domain node admittance matrix method becomes inefficient for large systems. To address this problem, the s-domain node admittance matrix method is optimized by impedance aggregation, enabling fast resonance stability analysis for high-penetration renewable energy power systems. Firstly, the s-domain impedance models of typical components in high-penetration renewable energy power systems are presented, together with the procedures of the conventional s-domain node admittance matrix method. Next, a general impedance aggregation method independent of system topology and scale is proposed. The partial inheritance of resonance modes and node voltage mode shapes in impedance-aggregated systems is revealed, and regional observability and regional linkage are introduced to distinguish global modes and local modes. Then, node numbering rules and analysis procedures for the optimized method are developed, transforming the resonance stability analysis for the complete system into a collection of subsystem analyses, and the efficiency improvement is verified in terms of asymptotic computational complexity. Finally, resonance stability analysis is conducted on an offshore wind power system in Zhejiang Province, validating the effectiveness of the proposed method.

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关键词

谐振稳定性 / 区域耦合度 / 区域可观度 / 节点电压振型 / 谐振模态 / 阻抗聚合 / s域节点导纳矩阵

Key words

resonance stability / regional linkage / regional observability / node voltage mode shape / resonance mode / impedance aggregation / s-domain node admittance matrix

Author summay

何冰鑫(2001),男,硕士研究生,研究方向为新型电力系统谐振稳定性,

李探(1989),男,高级工程师,博士,研究方向为直流输电与柔性直流输电工程设计,

张哲任(1988),男,通信作者,研究员,博士,研究方向为直流输电与柔性交流输电,

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何冰鑫,李探,李志闯,郭勇帆,张哲任,徐政,宾子君. 基于阻抗聚合和s域节点导纳矩阵的电力系统谐振稳定性分析方法[J]. 南方电网技术, 2026, 20(4): 75-86 DOI:10.13648/j.cnki.issn1674-0629.2026.04.007

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国家电网有限公司科技项目(5200⁃202356483A⁃3⁃2⁃ZN)

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