基于小信号模型的虚拟同步机稳定性分析及参数优化

何婷 ,  乔俊强 ,  吴国栋

科学技术与工程 ›› 2025, Vol. 25 ›› Issue (5) :1927-1935

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科学技术与工程 ›› 2025, Vol. 25 ›› Issue (5) :1927-1935 DOI: 10.12404/j.issn.1671-1815.2401713
能源与动力工程

基于小信号模型的虚拟同步机稳定性分析及参数优化

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Stability Analysis and Parameter Optimization of Virtual Synchronous Machine Based on Small Signal Model

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摘要

为提高虚拟同步机并网稳定性,提出了一种虚拟同步机控制参数的全局优化设计方法。首先,建立具有虚拟励磁机和调速器的虚拟同步发电机小信号模型,通过求解状态矩阵得到系统的特征值。其次,研究特征值位置对控制器参数的敏感性,并利用遗传算法在主特征值位置的基础上对参数进行大范围优化。最后,将模型的解析计算解和MATLAB/Simulink仿真数据进行对比分析,结果表明,通过优化大范围的虚拟同步机(virtual synchronous generator, VSG)参数,可以显著提高频率稳定性,参数优化后系统响应瞬态稳定时间为0.25 s,仅为一般参数时系统响应瞬态稳定时间的5%,当负载变化时,频率稳定性有明显提高。

Abstract

To enhance the grid connection stability of virtual synchronous machines, a global optimization design method for virtual synchronous machine control parameters was proposed. Firstly, a small-signal model of the virtual synchronous generator with virtual exciter and governor was established, and the system eigenvalues were obtained by solving the state matrix. Secondly, the sensitivity of the controller parameters to the position of eigenvalues was studied, and a wide range of parameter optimization was conducted using genetic algorithms based on the main eigenvalue positions. Finally, analytical solutions of the model and MATLAB/Simulink simulation data were compared. The results show that significant improvements in frequency stability can be achieved by optimizing a wide range of virtual synchronous machine parameters. After optimization, the system response transient stability time is 0.25 s, only 5% of the transient stability time with general parameters, and the frequency stability improves noticeably with load changes.

关键词

微电网 / 虚拟同步发电机 / 小信号分析 / 灵敏度分析 / 参数优化

Key words

microgrid / virtual synchronous generator / small signal analysis / sensitivity analysis / parameter optimization

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何婷, 乔俊强, 吴国栋. 基于小信号模型的虚拟同步机稳定性分析及参数优化[J]. 科学技术与工程, 2025, 25(5): 1927-1935 DOI:10.12404/j.issn.1671-1815.2401713
HE Ting, QIAO Jun-qiang, WU Guo-dong. Stability Analysis and Parameter Optimization of Virtual Synchronous Machine Based on Small Signal Model[J]. Science Technology and Engineering, 2025, 25(5): 1927-1935 DOI:10.12404/j.issn.1671-1815.2401713

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基金资助

甘肃省青年科技基金计划(22JR11RA216)

兰州市人才创新创业项目(2021-RC-78)

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