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Xi'an High Voltage Apparatus Research Institute Co.，Ltd. Xi'an 710077，China
School of Electrical Engineering，Xi'an Jiaotong University，Xi'an 710049，China
Received：05 November 2024，
Published：25 December 2025
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FAN Weiqiang, CHENG Tingting, WANG Zhigao, et al. Research on Control Strategy of Three-phase Grid-connected Inverter Based on Complex Domain Model[J]. Power Capacitor & Reactive Power Compensation, 2025, 46(6): 89-96.
FAN Weiqiang, CHENG Tingting, WANG Zhigao, et al. Research on Control Strategy of Three-phase Grid-connected Inverter Based on Complex Domain Model[J]. Power Capacitor & Reactive Power Compensation, 2025, 46(6): 89-96. DOI： 10.14044/j.1674-1757.pcrpc.2025.06.011.
本文采用复域平均建模方法对三相LCL型并网逆变器进行建模，将复杂的三相多输入多输出MIMO系统简化为单输入单输出SISO系统，在此基础上，推导出复域下三相LCL型并网逆变器系统的状态方程，并基于复域模型设计了并网电流的控制策略。其次，利用复Hurwitz判据分析了三相LCL型并网逆变器控制系统的稳定性，得出了系统稳定运行的控制器参数范围，仿真与样机实验结果验证了该方法的有效性与正确性。
In this paper，the complex domain averaging modeling method is adopted to model the threephase LCL grid-connected inverter，simplifying the complex three-phase multi-input and multi-output（MIMO）system into a single-input and single-output（SISO）system. On this basis，the state equation of the three-phase LCL grid-connected inverter system in the complex domain is derived，and the control strategy for the grid-connected current based on the complex domain model is designed. Secondly，the stability of the control system of the three-phase LCL grid-connected inverter is analyzed by using the complex Hurwitz criterion and the control parameter range for stable operation of the system is obtained. The effectiveness and correctness of the method are verified by both simulation and experimental results.
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