用符号法分析PWM DC-DC变换器闭环系统的瞬态

为了更好地指导电路分析与设计,提出了一种求解连续导通模式(CCM)下脉宽调制(PWM)DC-DC变换器闭环系统瞬态解析解及稳态纹波解析解的方法,并结合多尺度法,将等效小参量法推广到PWM DC-DC变换器闭环系统的瞬态分析中.仿真结果表明,符号分析法得到的仿真波形与基于电路原理的数值仿真波形相近,从而验证了文中提出方法的有效性.所得结果均为符号表达式,可为工程设计提供理论指导,并可进一步用于系统的非线性特性及稳定性分析.

Transient-State Analysis of Closed-Loop PWM DC-DC Converter System via Symbolic Method

In order to more efficiently guide the analysis and design of a circuit,this paper presents a method to obtain the analytical solutions to transient-state responses and steady-state ripples of closed-loop Pulse-Width Modulation(PWM) DC-DC converter systems in CCM mode(Continuous Conduction Mode),and extends the equivalent small parameter(ESP) method in combination with the multiple-scale method to the transient-state analysis of the closed-loop PWM DC-DC converter systems.According to the simulated results,the method of symbolic analysis may result in a simulation waveform similar to that obtained by the method based on the circuit principle,which verifies the effectiveness of the proposed method.Moreover,all the results in symbolic form can provide theoretical guidance for the circuit design and the analysis of nonlinear stability.