电机与控制应用2026，Vol.53Issue(1)：12-23,12.DOI:10.12177/emca.2026.108
基于状态矩阵的构网型多变流器系统高精度建模方法
High-Precision Modeling Method for Grid-Forming Multi-Converter Systems Based on State Matrix
摘要
Abstract
[Objective]In the simulation of grid-forming multi-converter systems,traditional LC equivalent model exhibits insufficient accuracy and significant transient response errors,rendering them struggle to accommodate high-frequency switching characteristics,particularly failing to accurately represent switching transient processes at sub-microsecond simulation time step.To resolve the above challenges,a high-precision modeling method for grid-forming multi-converter system based on state matrix is proposed.[Methods]Firstly,a discretized model for converter switching components under grid-forming virtual synchronous generator control was established,where undetermined parameters were determined by combining discrete circuit with ideal switching characteristic,thereby constructing a generalized fixed-admittance switching(FAS)model based on LC equivalent circuits.Secondly,based on the coupling characteristics of grid-forming multi-converter,an extension method from the single converter state matrix to the multi-converter system was derived,and system-level state-space equations were formulated to efficiently characterize dynamic interactions among converters.Finally,a grid-forming multi-converter system simulation model was established based on the PSCAD/EMTDC platform,and compared the proposed FAS model with the PSCAD ideal model and traditional LC equivalent model.[Results]The simulation results showed that the simulation results of proposed FAS model were closer to the PSCAD ideal model,which effectively reduced the power loss under the sub-microsecond simulation time step and improved the system simulation accuracy and efficiency while maintaining the system stability.[Conclusion]The proposed FAS model exhibits excellent applicability and stability under sub-microsecond simulation time step.关键词
多变流器/构网型/虚拟同步/广义恒导纳/亚微秒级Key words
multi-converter/grid-forming/virtual synchronous/generalized fixed-admittance/sub-microsecond分类
信息技术与安全科学引用本文复制引用
赵艺琳,柳伟,袁晓冬,韩华春..基于状态矩阵的构网型多变流器系统高精度建模方法[J].电机与控制应用,2026,53(1):12-23,12.基金项目
国家电网有限公司总部科技项目(5400-202318547A-3-2-ZN)State Grid Corporation of China Headquarters Science and Technology Project(5400-202318547A-3-2-ZN) （5400-202318547A-3-2-ZN）
