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电子学报  2013 

基于安匝和的隔离式开关变换器霍普夫分岔与准周期现象研究

DOI: 10.3969/j.issn.0372-2112.2013.09.017, PP. 1778-1783

Keywords: 安匝和,反激式变换器,霍普夫分岔,准周期,锁频,法里原理,魔梯,连分数

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Abstract:

本文以电压模式控制反激式变换器为例,研究了隔离式开关变换器的霍普夫分岔与准周期现象.基于安匝和建立系统的离散映射,运用频闪采样得到以控制周期为分岔参数的分岔图.在电流连续模式下,运用特征值法判断平衡点的稳定性及其失稳过程中的霍普夫分岔.提出变压器存在时系统自然周期的正确表达,并解释分岔时系统自然周期和控制周期与特征值的关系.分析了准周期和锁频现象的演化过程并运用转数加以区别.数论理论中的法里原理、魔梯现象和准周期转数的连分数表达在反激式变换器分岔过程中的体现也得到研究.最后,实验验证了理论分析的正确性.

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