一种改进的序列域阻抗定义及其与dq域阻抗定义在交流电力电子系统稳定性分析中的等价性
A modified sequence domain impedance definition and its equivalence to the dq-domain impedance definition for the stability analysis of AC power electronic systems
AI总结：
本文提出改进的序列域阻抗定义，证明其与dq域阻抗的等价性，并定义了镜像频率解耦系统以简化分析。
摘要：
交流电力系统通过频率依赖的阻抗等效进行动态分析是一种新兴技术，已在直流系统中应用数十年，近期也应用于交流系统。大多数交流系统的研究可分为两种方法：一种是在dq域进行分析，另一种是通过对称分量在相域中应用谐波线性化。基于分析计算、数值模拟和实验研究的阻抗模型已在两个领域独立开发并验证。先前的研究讨论了每个领域的优缺点，但没有进行严谨的比较或尝试连接它们。本文试图通过推导数学公式来证明dq域和序列域阻抗的等价性。提出了一种改进的序列域阻抗矩阵形式，利用此定义，通过广义尼奎斯特判据（GNC）获得的稳定性估计在两个领域中是等价的。本文的第二个贡献是定义了镜像频率解耦（MFD）系统。MFD系统的分析比非MFD系统更简单，因为正序和负序被解耦。本文表明，如果系统错误地假设为MFD，则会导致等效阻抗的错误或模糊估计。
英文摘要：
Representations of AC power systems by frequency dependent impedance equivalents is an emerging technique in the dynamic analysis of power systems including power electronic converters. The technique has been applied for decades in DC-power systems, and it was recently adopted to map the impedances in AC systems. Most of the work on AC systems can be categorized in two approaches. One is the analysis of the system in the \textit{dq}-domain, whereas the other applies harmonic linearization in the phase domain through symmetric components. Impedance models based on analytical calculations, numerical simulation and experimental studies have been previously developed and verified in both domains independently. The authors of previous studies discuss the advantages and disadvantages of each domain separately, but neither a rigorous comparison nor an attempt to bridge them has been conducted. The present paper attempts to close this gap by deriving the mathematical formulation that shows the equivalence between the \textit{dq}-domain and the sequence domain impedances. A modified form of the sequence domain impedance matrix is proposed, and with this definition the stability estimates obtained with the Generalized Nyquist Criterion (GNC) become equivalent in both domains. The second contribution of the paper is the definition of a \textit{Mirror Frequency Decoupled} (MFD) system. The analysis of MFD systems is less complex than that of non-MFD systems because the positive and negative sequences are decoupled. This paper shows that if a system is incorrectly assumed to be MFD, this will lead to an erroneous or ambiguous estimation of the equivalent impedance.
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