摘要
许多非线性动力系统存在数个吸引子共存的现象。随着系统参数的变化,吸引子所在的吸引盆彼此缠绕,使系统的安全盆呈现分形特征,可能导致系统失稳。电力系统是典型的非线性动力系统,同样存在上述现象。作者研究了在周期性负荷扰动下电力系统安全盆的分形侵蚀,通过数值仿真给出了不同的扰动值对安全盆的侵蚀程度。应用Melnikov函数得出了安全盆边界分形的条件,在此基础上应用延迟反馈技术提高了安全盆边界分形的阈值,最终使安全盆的边界变得光滑,说明了控制策略的可行性。
Many nonlinear dynamical systems are characterized by the coexistence of several attractors.With the variances of system parameters,basins of attraction,where the attractors are located,are tangled one another,and the safe basins of the systems become fractal and the stability may be lost.Power system is a typical nonlinear dynamical system and also has the phenomena above.The fractal erosion of safe basin in a power system disturbed by a periodical load is studied,and the erosion extent induced by differen...
出处
《电网技术》
EI
CSCD
北大核心
2005年第24期63-67,共5页
Power System Technology
基金
江苏省高校自然科学研究计划项目(03KJB470035)
关键词
电力系统
非线性动力系统
电压稳定性
安全盆
分形侵蚀
延迟反馈控制
Power system
Nonlinear dynamical system
Voltage stability
Safe basin
Fractal erosion
Time-delayed feedback control
