基于相图法的水电二阶切换系统动力学特性与振荡分析  

Dynamic characteristics and oscillation analysis of hydropower second-order switching system based on phase diagram method

作　　者：薛安成[1] 庄文彬 熊鸿韬 王嘉伟 杨滢 刘晓博[1] XUE Ancheng;ZHUANG Wenbin;XIONG Hongtao;WANG Jiawei;YANG Ying;LIU Xiaobo(State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources,North China Electric Power University,Beijing 102206,China;Electric Power Research Institute of State Grid Zhejiang Electric Power Co.,Ltd.,Hangzhou 310014,China;Dispatching and Control Center of State Grid Zhejiang Electric Power Co.,Ltd.,Hangzhou 310007,China)

机构地区：[1]华北电力大学新能源电力系统国家重点实验室,北京102206 [2]国网浙江省电力有限公司电力科学研究院,浙江杭州310014 [3]国网浙江省电力有限公司调度控制中心,浙江杭州310007

出　　处：《电力自动化设备》2023年第4期78-83,113,共7页Electric Power Automation Equipment

基　　金：国网浙江省电力有限公司科技项目(5211DS200086)。

摘　　要：高比例水电系统在大扰动下出现了死区、限幅作用的超低频频率振荡,其所对应的切换系统仍缺乏动力学特性分析。鉴于此,基于二阶切换系统动力学特性,结合相图法分析系统参数对其动力学特性的影响,揭示系统在不同扰动、阻尼下发生频率振荡的动力学机理。首先给出水电二阶切换系统描述,分析了系统的平衡点存在性。其次结合相图法分析不同运行条件下系统的动力学特性,证明了相关极限环的存在性。最后分析了系统的非光滑分岔特性。结果表明:当平衡点正阻尼、系统调节区域负阻尼时存在1个稳定极限环,对应严重大扰动下的频率振荡;当平衡点负阻尼、系统有限幅时存在2个稳定极限环,分别对应一般、严重大扰动下的频率振荡,且二者振荡频率较为接近。High-proportion hydropower systems have experienced ultra-low frequency oscillations with dead zones and amplitude limiting functions under large disturbances,and the corresponding switching system still lacks dynamic characteristics analysis.In view of this,based on the dynamic characteristics of the secondorder switching system,combining with the phase diagram method,the influence of the system parameters on its dynamic characteristics is analyzed,and the dynamic mechanism of the frequency oscillation of the system under different disturbance and damping is revealed.Firstly,the description of the hydropower secondorder switching system is given,and the existence of the system equilibrium point is analyzed.Secondly,combining with the phase diagram method,the dynamic characteristics of the system under different operating conditions are analyzed,and the existence of related limit-cycles is proved.Finally,the non-smooth bifurca⁃tion characteristics of the system are analyzed.The results show that there is a stable limit-cycle when the equilibrium point is positively damped and the regulating region is negatively damped,which corresponds to the frequency oscillations under severe large disturbances.While the equilibrium point is negatively damped and the system amplitude is limited,the switching system exists two stable limit-cycles,which correspond to the frequency oscillations under general large disturbance and severe large disturbance respectively,and the oscillation frequencies of them are close.

关 键 词：切换系统 相图法 频率振荡 极限环 非光滑分岔 

分 类 号：TM712[电气工程—电力系统及自动化] TV737[水利工程—水利水电工程]