逆变器网络的奇异扰动与小干扰稳定性
Singular Perturbation and Small-signal Stability for Inverter Networks
摘要：
研究了以三相并网逆变器为主的电网的小信号稳定性。我们表明，仅仅存在一个高电压潮流的解决方案并不一定意味着小信号稳定性，这促使我们开发一个框架，系统地承认逆变器动态的稳定性分析。我们确定了一个合适的时间尺度分解的逆变器动态，并利用奇异扰动理论，得到了一个解析的充分条件，以验证小信号稳定性。与对全阶网络动态特性进行特征值分析的方法相比，我们的解析充分条件降低了计算复杂性，并深入分析了网络拓扑结构和构造以及逆变器滤波器和控制参数对小信号稳定性的影响。径向网络的数值模拟验证的方法，并说明我们的分析条件的效率，设计和监测并网逆变器网络。
英文摘要：
This paper examines small-signal stability of electrical networks composed dominantly of three-phase grid-following inverters. We show that the mere existence of a high-voltage power flow solution does not necessarily imply small-signal stability; this motivates us to develop a framework for stability analysis that systematically acknowledges inverter dynamics. We identify a suitable time-scale decomposition for the inverter dynamics, and using singular perturbation theory, obtain an analytic sufficient condition to verify small-signal stability. Compared to the alternative of performing an eigenvalue analysis of the full-order network dynamics, our analytic sufficient condition reduces computational complexity and yields insights on the role of network topology and constitution as well as inverter-filter and control parameters on small-signal stability. Numerical simulations for a radial network validate the approach and illustrate the efficiency of our analytic conditions for designing and monitoring grid-tied inverter networks.
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