摘要
将同伦延拓思想应用于电力系统Hopf分岔点的求解中,提出一种新的基于割线预测-校正的同伦延拓法来追踪Hopf分岔点。该算法为同伦延拓法提供了简单有效的实现方法,利用割线法进行方向预测跟踪Hopf分岔同伦路径,与常用的切线法相比,由于未涉及矩阵求逆运算,计算量大大减小;同时运用自动步长控制策略,既保证计算的精确度,又兼顾到计算速度,确保校正步的有效执行。最后,通过WSCC3机9节点系统验证了该方法的实用性、可靠性以及优越性。
A power system Hopf bifurcation homotopy continuation method is proposed. point tracking based on the secant prediction- correction It uses the secant prediction method to track the Hopf bifurcation homotopy path. Compared with the tangent prediction method,the computation load is much less because it is not related to the matrix inversion computation. The automatic step- size control strategy ensures the calculation accuracy and speed to effectively implement the step- by- step＇ correction. Its practicability,reliability and superiority are verified on WSCC 3-machine 9-bus system.
出处
《电力自动化设备》
EI
CSCD
北大核心
2009年第9期65-69,共5页
Electric Power Automation Equipment
关键词
电力系统
HOPF分岔
同伦延拓法
割线预测
预测-校正
power system
Hopf bifurcation
homotopy continuation method
secant prediction
prediction - correction
