含增强型死区的单机系统频率振荡的轨线滑动及其分岔特性分析  

Sliding and Bifurcation Characteristics for the Trajectory of Frequency Oscillations in a Single Hydro-machine Power System With Enhanced Dead Zone

作　　者：薛安成 刘晓博 王嘉伟 庄文彬 郭鹏程 李业成 XUE Ancheng;LIU Xiaobo;WANG Jiawei;ZHUANG Wenbin;GUO Pengcheng;LI Yecheng(State Key Laboratory of Alternate Electrical Power System with Renewable Energy Source(North China Electric Power University),Changping District,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),北京市昌平区102206

出　　处：《中国电机工程学报》2022年第20期7475-7484,共10页Proceedings of the CSEE

基　　金：国网浙江省电力公司科技项目(5211DS200086)。

摘　　要：针对含增强型死区单机水电系统中的切换型超低频频率振荡,结合Filippov非光滑系统的轨线滑动/穿越分析方法,分析对应类Hopf分岔的振荡轨线的滑动及其分岔特性,发现一种新的分岔。首先,介绍Filippov系统的滑动分岔理论以及轨线滑动/穿越的判定方法;其次,介绍含增强型死区单机系统的简化模型,并说明其在发生类Hopf分岔时,系统出现的类滑动现象;再次,理论推导获得了死区切换边界上的滑动区域;最后,通过仿真,从扰动后负荷参数角度分析振荡对应的轨线与滑动区域的关系,以及轨线的滑动/穿越特性。结果表明:含增强型死区的单机系统(Filippov系统)存在滑动区域;系统随负荷参数变化出现的超低频频率振荡现象对应的类Hopf分岔,是一种新型Filippov系统分岔,命名为临界滑动分岔。For the non-smooth switching-type ultra-low frequency oscillation(ST-ULFO),in the single-hydro-machine power system(SHM-PS)with enhanced dead zone,the method of sliding/crossing trajectory analysis for Filippov system was used to analyze the sliding and bifurcation characteristics of the ST-ULFO trajectory accompanied by the Hopf-like bifurcation,and a new kind of bifurcation was found.Firstly,the sliding bifurcation theory of Filippov system and the method for determining the sliding or crossing characteristic for trajectories were introduced.Secondly,the simplified model of the SHM-PS with enhanced dead zone was presented.The corresponding simulation shows that the system trajectory may slide on the switching boundary when the Hopf-like bifurcation occurs.Then,the possible sliding area of the switching boundary was obtained by theoretical derivation.Finally,the relationship between the oscillation trajectory and the sliding area,and the trajectory sliding/crossing characteristics were analyzed from the perspective of sudden load disturbance.The results show that the sliding area exists in the Filippov system of SHM-PS with enhanced dead zone,and in the viewpoint of varying load,the Hopf-like bifurcation experienced by the non-smooth ST-ULFOs corresponds to a new sliding bifurcation of Filippov system,which is named critical sliding bifurcation in this paper.

关 键 词：增强型死区 超低频频率振荡 Filippov系统 滑动分岔 

分 类 号：TM712[电气工程—电力系统及自动化]