一种求解小扰动电压稳定Hopf分岔点的改进连续性方法

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摘要提出了一种用于求解小扰动电压稳定Hopf分岔点的连续性方法。该方法利用特征值实部关于负荷增长的一阶和二阶灵敏度系数来自动调整预测步长的大小,在初始点附近利用较大步长来追踪平衡解流形,到运行点靠近Hopf分岔点时,则自动减小预测步长,以避免由于预测步长过大而发生“跳过”Hopf分岔点的情况。

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	李宏仲
	游大宁
	高云辉
	盛利
	王震学

关键词 ：电压稳定, Hopf分岔, 连续性方法, 特征值, 灵敏度系数

Abstract：A continuous method to calculate the Hopf bifurcation in small disturbance is presented. The second-order sensitivities of the selected eigenvalues with respect to loads variation which have more perfect linear behavior are computed and used to determine the step size of the continuation method. For lightly loaded conditions, it is expected that a small variation in the load would result in a small variation in the operation point which is far away from the HB point. Therefore, the step size could be larger. On the other hand, when the operation point is close to the HB point, a smaller step should be defined otherwise the HB point may be overleaped.

Key words： keywords：Voltage stability Hopf bifurcation continuous method eigenvalue sensitivity coefficient

收稿日期: 2012-09-21 出版日期: 2013-12-12

PACS:

TM712

基金资助:国家自然科学基金 (50907039) 和上海高校选拔培养优秀青年教师科研专项基金 (sdl10019) 资助项目。

作者简介: 李宏仲男，1977年生，博士，讲师，研究方向为电力系统电压稳定、电力系统无功优化、分布式能源、配电自动化。游大宁男，1977年生，硕士，工程师，研究方向电力系统无功优化、配电自动化。

引用本文:

李宏仲, 游大宁, 高云辉, 盛利, 王震学. 一种求解小扰动电压稳定Hopf分岔点的改进连续性方法[J]. 电工技术学报, 2013, 28(1增): 224-230. Li Hongzhong, You Daning, Gao Yunhui, Shen Li, Wang Zhenxue. An Improved Continuous Method to Calculate the Hopf Bifurcation Point in Small Disturbance Voltage Stability. Transactions of China Electrotechnical Society, 2013, 28(1增): 224-230.

链接本文:

http://dgjsxb.ces-transaction.com/CN/Y2013/V28/I1增/224

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