Microgrids (MGs) operate under harmonic conditions due to the integration of nonlinear loads. The autonomous harmonic compensation control of inverter-interfaced DG has been proposed to successfully mitigate the harmonics. However, the small-signal analysis of harmonic compensation controls has not been investigated in the microgrid with multiple inverters. This paper develops the modeling and analysis of the inverter-based MGs under harmonic conditions. The concept of dynamic phasor (DP) is used to describe the fundamental and harmonic components of an ac waveform via dc variables. The developed model consists of droop-controlled distributed generators (DGs), diodes rectifiers (working as nonlinear load) and resistance loads. Virtual impedance control is considered in the droop-controlled DGs for the autonomous harmonic compensation. Based on the developed DP model, the dynamic behavior of the microgrid is investigated via small-signal analysis. It is observed that the virtual impedance for harmonic compensation brings inter-inverter oscillations on harmonic domain. Participation and eigenlocus analysis are performed to investigate the influence of parameter tuning of harmonic compensation on microgrid stability. Numerical simulations are carried out to validate the effectiveness of the proposed modeling method and the analysis results.

中文翻译：

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谐波条件下基于逆变器的微电网建模与稳定性分析

由于集成了非线性负载，微电网（MGs）在谐波条件下运行。已经提出了逆变器接口DG的自主谐波补偿控制，以成功减轻谐波。但是，尚未在具有多个逆变器的微电网中研究谐波补偿控制的小信号分析。本文开发了谐波条件下基于逆变器的MG的建模和分析。动态相量（DP）的概念用于通过直流变量描述交流波形的基波和谐波分量。开发的模型包括下垂控制的分布式发电机（DG），二极管整流器（作为非线性负载）和电阻负载。在下垂控制的DG中考虑了虚拟阻抗控制，以实现自主谐波补偿。基于已开发的DP模型，通过小信号分析研究了微电网的动态行为。可以看出，用于谐波补偿的虚拟阻抗使逆变器之间在谐波域产生振荡。进行了参与和本征分析，以研究谐波补偿的参数调整对微电网稳定性的影响。进行了数值模拟，以验证所提出的建模方法和分析结果的有效性。进行了参与和本征分析，以研究谐波补偿的参数调整对微电网稳定性的影响。进行了数值模拟，以验证所提出的建模方法和分析结果的有效性。进行了参与和本征分析，以研究谐波补偿的参数调整对微电网稳定性的影响。进行了数值模拟，以验证所提出的建模方法和分析结果的有效性。