基于非光滑分岔的单机水电系统超低频频率振荡机理分析  

Mechanism Analysis of Ultra-Low Frequency Oscillation of Single Hydropower System Based on Non-Smooth Bifurcation

作　　者：薛安成 王嘉伟 Xue Ancheng;Wang Jiawei(State Key Laboratory of Alternate Electrical Power System with Renewable Energy Source North China Electric Power University,Beijing 102206 China)

机构地区：[1]新能源电力系统国家重点实验室(华北电力大学),北京102206

出　　处：《电工技术学报》2020年第7期1489-1497,共9页Transactions of China Electrotechnical Society

基　　金：国家重点研发计划项目(2017YFB0902000);国家自然科学基金项目(51477050,50707035)资助。

摘　　要：针对单水电机组的电力系统,结合相图法分析水电机组调速系统限幅对超低频频率振荡的影响,揭示其发生超低频频率振荡的数学机理之一是非光滑分岔。首先,介绍限幅环节饱和导致的非光滑系统的振荡现象,说明了一般动力系统振荡的原因之一是限幅环节饱和相关的非光滑分岔;其次,给出含限幅环节的单水电机组电力系统的简单数学模型、状态方程及其平衡点特性;再次,分析不同初始条件、有/无限幅时,系统相图有/无极限环的动力学特性,说明了调速系统限幅环节作用和足够大的初值是系统发生超低频频率振荡的原因之一,揭示了系统对初值的非光滑分岔特性;最后,分析了不同系统参数对系统有/无极限环的动力学性质影响,揭示了在一定初值下的单水电机组电力系统的参数非光滑分岔特性。To the power system of single hydropower unit, this paper analyses the influence of limit of governor system on ultra-low frequency oscillations(ULFO) by the phase portrait method, and reveals that one of the mathematical mechanisms of ULFO is n on-smooth bifurcation. In detail, firstly, the oscillation phenomenon of non-smooth system caused by the saturation of limit is analyzed, illustrating that one of the reasons for the oscillation of general dynamic systems is the non-smooth bifurcation associated with the saturation of limit. Secondly, a simple mathematical model, state equation and balance point characteristics of the power system of single hydropower unit with limiting link are given. And then, the dynamic characteristics of the system pha se portrait with/without limit cycle under different initial conditions and with/without limit are analyzed, which show that the saturation of the limit of governor system and the large enough initial value are one of the reasons for the system ULFO and reveal the non-smooth bifurcation characteristics of the system for initial values. Finally, the influence of different system parameters on the dynamic characteristics of the system with/without limit cycle is analyzed, and the non-smooth bifurcation characteristics of system parameters under certain initial values are revealed.

关 键 词：非光滑分岔 超低频频率振荡 极限环 限幅 调速系统 

分 类 号：TM712[电气工程—电力系统及自动化]