基于离散演化映射的DC/DC变换器混合逻辑动态建模

针对传统DC/DC变换器模型存在计算量大、进行了大量近似、不能反映电流纹波特性等不足,有机结合哈密顿原理和混杂系统理论,提出基于离散演化映射的DC/DC变换器混合逻辑动态建模方法。以Buck变换器为例,首先采用变分积分器对其进行离散化得到离散演化映射模型,然后基于混杂系统理论将CCM和DCM模式进行统一,进而得到混合逻辑动态模型。结果表明,所建立模型计算量小、精确度高,能完整描述系统的各个工作状态且能反映电感电流纹波等动态特性,为DC/DC变换器建模方法提供了新的思路。

Mixed logical dynamical modeling of DC/DC converter based on discrete evolution mapping

A novel dynamical modeling method, namely, the mixed logical dynamical model ( MLD) based on dis-crete evolution mapping theory by integrating the Hamilton′s principle and hybrid system theory, for DC/DC converter has been proposed.In this paper, without loss of generality, the mixed logical dynamical ( MLD) modeling of Buck converter is achieved by unifying the discrete evolution mapping model, which is obtained by variational integrators, in continuous current mode ( CCM) and discontinuous current mode ( DCM) under the hybrid system theory frame-work.The simulation result shows that the new model has many advantages, such as less calculation needed, high precision and it can completely describe the various working states of the system and reflects dynamical characteristics of inductor current ripple etc, over those conventional ways, which means this novel model could be more useful for a-nalysis and controller designing of DC/DC converters.