摘要
切分叉现象是非线性动态系统中的一个特别的分叉。文章从非线性动态系统理论的角度来研究这个问题。根据迭代映射切分叉定理,对CCM BOOST变换器中一维迭代映射及切分叉条件用数学方法进行了论证,并用离散迭代映射、分叉图和李雅普诺夫指数图谱对切分叉条件进行了分析,仿真结果符合理论分析,验证了理论的正确性。本方法同样适合于分析其他变换器电路中的切分叉和混沌现象。
Tangent bifurcation is a special bifurcation in nonlinear dynamic system.The paper analyzes the problem in the light of the theories of nonlinear dynamic system.Based on the theorem of tangent bifurcation,the conditions leading to the tangent bifurcation in the discrete iterative model of the CCM boost converter are demonstrated mathematically.Discrete iterative maps,bifurcation diagram,Liyapunov exponent are done to analyze the mechanism and evolution of leading to the tangent bifurcation.The simulation results are in agreement with the theoretical analysis.The methods proposed in the paper can also be suitable to analysis of the tangent bifurcation and chaos of other converter circuits.
出处
《中国农机化学报》
北大核心
2013年第2期180-184,共5页
Journal of Chinese Agricultural Mechanization
