一类含时滞项的电力系统分岔分析  

Analysis of Static Bifurcation in Electric Power System Involving Time Delays

作　　者：张冬梅[1] 徐涵[1] 

机构地区：[1]临沂师范学院数学系,山东临沂276005

出　　处：《河南师范大学学报（自然科学版）》2009年第6期63-65,共3页Journal of Henan Normal University(Natural Science Edition)

基　　金：山东省自然科学基金(Y2007A17)

摘　　要：研究周期性负荷扰动下的电力系统,在含有线性增益系数和时滞项情况下的分岔情况.首先利用多尺度法推导出该时滞动力系统在主共振下的分岔响应方程,进而利用奇异性理论分析系统发生余维一分岔和余维二分岔的条件.可以发现两个时滞参数对系统分岔的控制作用.The research deals with the problems of bifurcation in electric power system under periodical disturbance of nonlinear systems involving time delays for primary parametric resonance.The bifurcation equation with time delays by using the method of multiple scales is obtained and the bifurcation equation by means of singularity theory is discussed.So the effect of time delays on the steady response can.be found.

关 键 词：多尺度法 分岔 时滞动力系统 

分 类 号：O175[理学—数学]