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论文摘要

求解电力系统Bogdanov-Takens分岔的改进直接法

An Improved Direct Method for Solving Power Systems Bogdanov-Takens Bifurcation

作者:方勇(四川大学 电气信息学院);杨洪耕(四川大学 电气信息学院);李兰芳(四川大学 电气信息学院)

Author:Fang Yong(School of Electrical Eng. and Info.,Sichuan Univ.);Yang Honggeng(School of Electrical Eng. and Info.,Sichuan Univ.);Li Lanfang(School of Electrical Eng. and Info.,Sichuan Univ.)

收稿日期:2012-02-03          年卷(期)页码:2012,44(4):158-161

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:Bogdanov-Takens分岔;改进直接法;拓展方程

Key words:Bogdanov-Takens bifurcation; improved direct method; expansion equation

基金项目:

中文摘要

电力系统中往往采用延拓法搜索Bogdanov-Takens分岔点,计算量较大;传统直接法由于特征向量规范具有不确定性,导致算法对初值要求较高。针对以上问题,提出了改进直接法。利用特征向量及其转置的自约束特点,改进拓展方程组中特征向量约束条件。使得改进直接法能够在初值的较大范围内收敛,改善了算法的有效性。通过电力系统模型仿真验证该方法的正确性。

英文摘要

There are large amount of calculation using continuation method to search the Bogdanov-Takens bifurcation point in power systems, and the traditional direct method requires accurate initial value, as its feature vector norm has uncertainty. In view of this problems, a improved direct method was put forward. This method used the constraint features of vector and it’s transposed, improved expansion equations feature vector constraint. The method could converge to the Bogdanov-Takens bifurcation point in the larger range of initial values, improved the effectiveness of the proposed algorithm. Simulation of power system through the model verified its correctness.

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