| 引用本文: | 费思媛,高晨祥,汪可友,等.多换流器系统离散状态空间模型的模态分析法[J].电力系统保护与控制,2025,53(14):59-68.[点击复制] |
| FEI Siyuan,GAO Chenxiang,WANG Keyou,et al.Modal analysis method for discrete state-space model of multi-converter systems[J].Power System Protection and Control,2025,53(14):59-68[点击复制] |
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| 摘要: |
| 基于连续频域的模态分析可定位影响系统弱阻尼模态的主导节点。随着换流器数量的增加，待研究系统呈现出高阶动态特性，给系统模态辨识及其定量分析带来挑战。为此，提出了一种基于离散状态空间模型的稳定性量化评估方法。首先，参考电磁暂态仿真建模思想，建立系统离散域等效电路模型，利用计算机进行数值计算建模分析，规避了连续频域分析因涉及符号变量运算而产生的计算负担。其次，由等效电路得到离散时域模型求解系统模态，并根据离散节点导纳频域模型进行节点参与因子分析，定位系统薄弱点。最后，进一步结合链式法则，量化系统模态对换流器参数的灵敏度，从而实现针对性参数优化调整以提升系统性能。研究表明，该分析流程为复杂系统的稳定性评估提供了一种高效可靠的解决途径。 |
| 关键词: 模态灵敏度 节点导纳矩阵 离散域 小信号稳定 多换流器系统 |
| DOI：10.19783/j.cnki.pspc.241336 |
| 投稿时间：2024-10-10修订日期：2024-12-30 |
| 基金项目:国家重点研发计划项目资助(2022YFB2402800) |
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| Modal analysis method for discrete state-space model of multi-converter systems |
| FEI Siyuan1,GAO Chenxiang1,WANG Keyou1,XU Jin1,QIN Shiyao2 |
| (1. Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education (Shanghai Jiao Tong
University), Shanghai 200240, China; 2. National Key Laboratory of Renewable Energy Grid-Integration
(China Electric Power Research Institute), Beijing 100192, China) |
| Abstract: |
| Modal analysis conducted in the continuous frequency domain can identify the dominant nodes that influence the weakly damped modes in a system. However, as the number of converters increases, the system exhibits high-order dynamic characteristics, posing significant challenges to modal identification and quantitative analysis. To address this, a stability quantitative evaluation method based on a discrete state-space model is proposed. First, referring to the electromagnetic transient simulation modeling principles, an equivalent circuit model in the discrete domain is established. Numerical computation and modeling analysis are then carried out by computers, effectively avoiding the computational burden associated with symbolic variable operations in continuous frequency domain analysis. Second, the system modes are solved from the discrete-time model derived from the equivalent circuit. Node participation factor analysis is performed according to the frequency domain model of the discrete node admittance to identify the weak points of the system. Finally, combined with the chain rule, the sensitivity of system modes to converter parameters is quantified, enabling targeted parameter optimization to improve system performance. The study demonstrates that this analysis framework provides an efficient and reliable approach for stability evaluation of complex systems. |
| Key words: modal sensitivity nodal admittance matrix discrete domain small-signal stability multi-converter system |
