Hopf bifurcation and chaos in a free-running current-controlled Cuk switching regulator
Hopf bifurcation and chaos in a free-running current-controlled Cuk switching regulator
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DOI：
10.1109/81.841847
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发表时间：
2000-04
影响因子：
5.1
通讯作者：
C. Tse;Y. Lai;H. Iu
中科院分区：
文献类型：
--
作者：
C. Tse;Y. Lai;H. Iu
本文研究了一种自主自由运行的Cuk变换器。对描述非线性状态方程的分析表明，系统通过一个超临界Hopf分岔失去稳定性。导出了稳定边界，研究了局部运动轨迹。实际系统的循环模拟揭示了从稳定平衡状态到混沌的典型分岔，通过极限环和准周期轨道。实验测量证实了分岔情景。在电力电子学中，这种分岔现象在自主dc/dc变换器中很少发生。
An autonomous free-running Cuk converter is studied in this paper. Analysis of the describing nonlinear state equations shows that the system loses stability via a supercritical Hopf bifurcation. The boundary of stability is derived and local trajectories of motion studied. Cycle-by-cycle simulations of the actual system reveal the typical bifurcation from a stable equilibrium state to chaos, via limit cycles, and quasi-periodic orbits. Experimental measurements confirm the bifurcation scenarios. The occurrence of such kinds of bifurcation in autonomous dc/dc converters has been rarely known in power electronics.