基于Z变换的PWM Boost变换器离散建模与混沌仿真

Z变换在表示和分析离散时间系统中具有十分重要的作用。很多情况下采用变换域下的系统理论，分析时域下的连续时间系统具有很多优点。因此，该文建立了电流控制模式PWM Boost变换器不连续模态下系统运行的差分方程，基于Z变换获得了离散系统函数，根据Z变换下离散系统运行的稳定性判据，确定了系统稳定运行的准确参数范围，并模拟仿真证实了该文研究方法的正确性，为进一步利用变换域分析方法研究DC／DC变换器的稳定运行规律打下了基础。

Discrete Model of PWM Boost Converter Based on Z-Transform and Its Chaos Simulation

The Z-transform plays a particularly important role in the analysis and expresentation of discrete-time system. The using of system analysis theory in transform-domain brings much convenience in studying a time-domain series-time s ystem under many circumstance. So the difference equation of voltage-feed PWM bo ost converter working in discontinuous current mode(DCM)is setup in this artic le. The discrete-time system function based on Z-transform is available, then th e accuracy parameter scope is decided according to stability criterion under Z-t ransform. The research gives the preliminary work for studying DC/DC power conve rter using transform-domain analysis method.