电力系统及其自动化学报2011，Vol.23Issue(5)：35-38,58,5.
应用数值积分法计算电力系统混沌阈值
Computtion of Chaotic Threshhold in Power System by Numerical Integral Method
摘要
Abstract
Melnikov function is the most effective method for homoclinic (heteroclinic) orbits,and a numerical method of the function is applied to compute the chaotic threshold in a single machine infinite bus system dis turbed by a periodical load. The relationship between time and power angle is formulated based on the Hamil ton function of the undisturbed system and an integral of time variable is changed into one of power angle in the function. Finally, the threshold is reached by the compound Simpson rule. The presented method can avoid the parametric formulation of homoclinic orbit of an undisturbed system, and doesn't need set the mechanical input of the system to be a small quantity. Although the analytical Melnikov function cannot be obtained, a possible chaotic area is shown by a chaotic threshold curve.关键词
电力系统/混沌阈值/同宿轨道/数值积分法Key words
power system/ chaotic threshold/ homoclinic orbit/ numerical integral method分类
信息技术与安全科学引用本文复制引用
张强,黄宵宁..应用数值积分法计算电力系统混沌阈值[J].电力系统及其自动化学报,2011,23(5):35-38,58,5.基金项目
江苏省高校自然科学基金资助项目(09KJB470002) （09KJB470002）
