新建自激反激变换器方程及其解析解

本文的目的是寻找自激反激变换器运行状态特征参量 (运行频率、磁通密度等 )与设计这种变换器所用的基本物理参量之间的函数关系。所用方法与传统方法不同 ,不用电磁学中定义的电气特征参量L ,而基于磁路参量及磁能密度表征变换器输入能量 ,建立了自激反激变换器运行状态特征参量应满足的方程并得到所需的解析解。这个新的结果不仅使设计这种变换器十分简便 ,而且揭示了这种变换器的许多运行特性 ,其中有些是前所未知、意外且十分重要的

Newly Established Equation of Flyback Converter and Its Analytical Solution

The object of the paper is to find the functional relations between the characteristic parameters (operating frequency, magnetic flux density, etc.) of operating state of flyback converter and its fundamental physical parameters used in designing the converter. The method used here differs from tradition. Instead of using the electrical characteristic parameter L defined in electromagnetism, representing the input energy into the converter based on the fundamental physical parameters of the magnetic circuit and its magnetic energy density, we established the equation which the characteristic parameters should satisfy, and got its analytical solutions. The new results not only make designing the converter very easy, but also discover the operating properties of the converter, in which some properties are unknown before, suprised and important.