电流模式SEPIC变换器倍周期分岔现象研究
Study on period doubling bifurcation in current-mode SEPIC converter
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摘要: 以SEPIC变换器中前置电感电流为控制对象,建立了SEPIC变换器断续电流模式下的离散时间模型,并分析了不动点的稳定性.通过相轨图、功率谱图以及分岔图,发现电路中存在一种特殊的倍周期分岔现象——电路的运行状态经历了1倍周期、2倍周期、4倍周期再到2倍周期、4倍周期,最终进入混沌状态.实验结果与仿真结果相一致,证实了SEPIC变换器在断续电流模式下存在这种倍周期分岔现象.Abstract: Choosing the current of the front inductor as control object, the discrete time model of single-ended primary-inductor converter (SEPIC) converter working in the discontinuous conduction mode (DCM) is established in this paper, and the stability of the fixed point is analyzed. By studying the phase portrait, power spectrum and bifurcation diagram of the circuitry, a special period-doubling bifurcation phenomenon is found in this circuitry. The circuit experiences period, double period, quadruple period and then double period, quadruple period, finally enters into chaotic condition. The experimental results accord with the simulation results, which confirms that the special period-doubling bifurcation exists in the SEPIC converter working in the DCM.
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