基于自稳/致稳性的路径级数展开方法及其在含多样化电力电子装备电力系统稳定性分析中的应用

Path Series Expansion Method Based on Self-/En-Stabilizing Properties and Its Application in the Stability Analysis of Power Systems With Diversified Power Electronic Devices

基于自稳/致稳性概念,该文提出一种适用于含多电力电子装备电力系统的相互作用分析方法,称之为路径级数展开方法。基于该方法,可清晰刻画多装备本身及它们之间相互作用路径与系统稳定性的直观关系,有助于更好地理解系统不稳定现象背后的物理机理。同时,该方法能够定量衡量每个装备本身以及它们之间相互作用路径等多个子系统对系统稳定性的贡献,这弥补了当前频域分析方法只适用于衡量划分两个子系统特定场景的缺陷。基于含3类不同装备的典型系统和IEEE 16机系统,通过理论推导、定量分析和时域仿真验证了该方法的可行性。

This paper established an alternative interaction analysis method, i.e. the path series expansion method, for power systems with multiple devices. Based on this interaction analysis method, an intuitive relationship between each device itself as well as the interaction paths among them and the system stability was explicitly depicted. It also helps to understand the physical mechanism behind the system stable/unstable phenomena. Further, the path series expansion method quantifies the contribution of multiple subsystems(i.e., each device itself as well as the interaction paths among them) on the system stability, which remedies the deficiency of frequency domain analysis methods that were tailored for only two subsystems. Finally, based on a scenario with three kinds of typical devices, and the IEEE power system with 16 machines, the detail derivations, theoretical analysis and time-domain simulation on case studies were presented. Their results validate the effectiveness of this method.