Hopf分岔控制理论在单机无穷大电力系统中的应用  

Application of Hopf bifurcation control theory in one-machine infinite-bus power system

作　　者：张中华[1] 李鹏松[1] 付景超[1] 邓冠男[1] 

机构地区：[1]东北电力大学理学院,吉林吉林市132012

出　　处：《扬州大学学报（自然科学版）》2016年第1期37-41,62,共6页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11201057);博士科研启动基金资助项目(BSJXM-201427);林省科技发展计划资助项目(20130101065JC)

摘　　要：针对一类单机无穷大电力系统,采用Matcont软件搜寻到系统的Hopf分岔点,利用中心流形定理和分岔稳定性指标判定方法确定系统的分岔类型,基于wash-out滤波器原理设计了非线性反馈控制器,通过调节影响系统稳定性的励磁系统等值放大倍数,探讨了控制参数对Hopf分岔类型的影响,并利用Matlab软件对理论结果进行数值模拟.结果表明,当控制参数满足给定条件时,可使原系统的亚临界Hopf分岔变为超临界Hopf分岔,使电力系统结构更稳定.Aiming at one-machine infinite-bus power system,Hopf bifurcation point of system is found by Matcont software,and bifurcation type of system at bifurcation point is analyzed by center manifold theory and bifurcation stability index.The cubic nonlinear controller is designed based on wash-out filter theory to control the equivalent magnification of excitation system,and the effects of control parameter to Hopf bifurcation type are discussed.The results show that when control parameter satisfies certain condition,the potential threat subcritical Hopf bifurcation will be changed to supercritical Hopf bifurcation,and thus the stability of power system is guaranteed.

关 键 词：电力系统 HOPF分岔 Hopf分岔控制 中心流形定理 wash-out滤波器 

分 类 号：TM712[电气工程—电力系统及自动化] O193[理学—数学]