This article proposes a power sharing control method based on the linear quadratic regulator with optimal reference tracking (LQR-ORT) for three-phase inverter-based generators using inductor-capacitor-inductor (LCL) filters islanded mode. Compared to single-input single-output (SISO)-based controllers, the LQR-ORT controller increases robustness margins and reduces the quadratic value of the power error and control inputs during transient response. Supplementary loops are used to reduce frequency and voltage deviations in the ac bus without communications. The supplementary loop for voltage regulation is based on the droop controller by reducing direct and quadrature output voltages according to the active and reactive power demand. A model in a synchronous reference frame that integrates power sharing and voltage-current dynamics is also proposed. In addition, a methodology to develop an islanded microgrid model in a synchronous reference frame is proposed. Robustness analysis demonstrates stability of the LQR-ORT controller under variations in the frequency and the LCL filter components. Experimental results demonstrate accuracy of the proposed model and the effectiveness of the LQR-ORT controller on improving transient response and robustness in islanded mode.

中文翻译：

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用于基于三相逆变器的孤岛微电网的具有最佳参考跟踪的线性二次调节器


本文提出了一种基于具有最佳参考跟踪的线性二次调节器 (LQR-ORT) 的功率共享控制方法，适用于使用电感器-电容器-电感器 (LCL) 滤波器孤岛模式的三相逆变器发电机。与基于单输入单输出 (SISO) 的控制器相比，LQR-ORT 控制器提高了鲁棒性裕度，并降低了瞬态响应期间功率误差和控制输入的二次值。补充回路用于在无通信的情况下减少交流总线中的频率和电压偏差。电压调节的辅助回路基于下垂控制器，根据有功功率和无功功率需求降低直接和正交输出电压。还提出了同步参考系中集成功率共享和电压电流动态的模型。此外，还提出了一种在同步参考系中开发孤岛微电网模型的方法。鲁棒性分析证明了 LQR-ORT 控制器在频率和 LCL 滤波器组件变化的情况下的稳定性。实验结果证明了所提出模型的准确性以及 LQR-ORT 控制器在改善孤岛模式下的瞬态响应和鲁棒性方面的有效性。