Owing to a lack of systematic mathematical models to represent the parameters related to micro‐source disconnection, the stability of interaction between a grid and a micro‐grid with series micro‐source inverters (SMSI‐MG) is difficult to analyze. In this study, the average ratio and the degree of imbalance of three‐phase micro‐source disconnection, denoted respectively by δ and ϵ, are defined, and the positive‐ and negative‐sequence impedances of the SMSI‐MG containing the two parameters are established using a combination of the harmonic linearization and the symmetrical component methods. Moreover, rules of the behavior of the SMSI‐MG after micro‐source disconnection as well as its mechanism of interaction with the grid are revealed by the impedance models. The results of analysis show that high‐frequency harmonic resonance was generated around the carrier frequency when δ ≠ 0, and both high‐ and low‐frequency harmonic resonances were generated when both δ and ϵ increased in the interactive system. Furthermore, three SMSI‐MGs containing five, 10, and 20 micro‐sources in a single phase were simulated, and the results verified the correctness, feasibility, and advantages of the simplified analysis of the impedance models. These insights can be used to apply the corresponding control strategies in a timely manner according to the given conditions of micro‐source disconnection to reduce the harmonic resonance and increase the stability of the SMSI‐MG and the grid. The results of simulations verified the effectiveness of such a control strategy. © 2021 Institute of Electrical Engineers of Japan. Published by Wiley Periodicals LLC.

中文翻译：

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分析微源断开对串联逆变器对电网和微电网交互稳定性的影响

由于缺乏系统的数学模型来表示与微源断开相关的参数，因此很难分析使用串联微源逆变器（SMSI-MG）的电网和微电网之间相互作用的稳定性。在这项研究中，三相微源断开的平均比率和不平衡程度分别用δ和denoted表示定义，然后使用谐波线性化和对称分量方法相结合，建立包含两个参数的SMSI-MG的正序和负序阻抗。此外，阻抗模型揭示了微源断开后SMSI-MG的行为规则及其与电网的相互作用机制。的分析结果表明，高频谐波共振产生载波频率附近的当δ  ≠0，以及产生这两种高和低频率谐波共振两者时δ和ε在互动系统中增加了。此外，仿真了三个在单相中包含五个，十个和二十个微源的SMSI-MG，结果验证了简化阻抗模型分析的正确性，可行性和优势。这些见解可用于根据给定的微源断开条件及时应用相应的控制策略，以减少谐波谐振并提高SMSI-MG和电网的稳定性。仿真结果验证了这种控制策略的有效性。©2021日本电气工程师学会。由Wiley Periodicals LLC发布。