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Non-linear modelling and stability analysis of resonant DC–DC converters

机译：谐振DC-DC转换器的非线性建模和稳定性分析

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摘要

Resonant dc–dc converters have found increasing application in industry in recent times. Yet, the methods of dynamical analysis and parameter design for this kind of system are not well developed. The averaging method cannot be used in such converters as the small-ripple assumption does not hold. The sampled-data model, which seeks to obtain a closed form expression of the state at a clock instant in terms of that at the previous clock instant, also becomes unwieldy for converters with many topological modes – a condition prevailing in all resonant converters. In this study the authors show that the Filippov method can be effectively applied for accurate s-domain small signal analysis as well as time domain stability analysis by locating the stability boundaries in the paramater space for such systems. The authors apply this method to three classes of resonant converters – the switch resonant converter, the resonant transition converter and the load resonant converter – and present the mechanisms by which these converters may lose stability as the parameters are varied. The theoretical results corresponding to the resonant transition converter are validated experimentally.
机译：近年来，谐振DC-DC转换器已在工业中得到越来越多的应用。然而，这种系统的动力学分析和参数设计方法还没有得到很好的发展。由于小纹波假设不成立，因此无法在此类转换器中使用平均方法。采样数据模型试图获得一个时钟时刻的状态的闭合形式（相对于前一个时钟时刻的状态），它对于具有许多拓扑模式的转换器也变得难以处理，这是所有谐振转换器中普遍存在的条件。在这项研究中，作者表明，通过在此类系统的参数空间中定位稳定边界，Filippov方法可以有效地应用于准确的s域小信号分析以及时域稳定性分析。作者将此方法应用于三类谐振转换器（开关谐振转换器，谐振过渡转换器和负载谐振转换器），并介绍了随着参数变化这些转换器可能失去稳定性的机制。实验验证了与谐振跃迁转换器相对应的理论结果。

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