基于频域法的DC/DC变换器传递函数设计方法研究

doi:10.16182/j.issn1004731x.joss.20-0725

摘要/Abstract

摘要：

目前常用解析法建立DC/DC变换器的小信号模型，频域法来验证其准确性，现采用一种新的思想是：直接利用频域法进行变换器的小信号建模。设计流程包括：分析频域法的原理和建模机制，介绍运用Matlab建模的实现流程，以典型移相全桥变换器为设计对象，利用Simulink搭建仿真模型，分别基于频域法和状态空间平均法（解析法）得到传递函数，采用PID Tuner设计控制参数，对比2种方法的波特图和输出电压。结果表明：频域法建模的波特图更精确，输出电压动态性能更好。

关键词: 小信号模型, 频域法, Matlab, 移相全桥变换器, PID Tuner

Abstract:

The small-signal model of a DC/DC converter is usually built by the analytic method, and its accuracy is verified by the frequency domain method. A new idea is developed to model the small signal of the converter, i.e., directly using the frequency domain method.The design process is as follows: The principle and modeling mechanism of the frequency domain method are analyzed, and the realization flow of Matlab modeling is introduced. A typical phase-shifted full-bridge converter is taken as the design object, and a simulation model is built by Simulink. The transfer function is obtained on the basis of the frequency domain method and state-space averaging method (analytic method) separately, and PID Tuner is employed to design the control parameters.The Bode plot and output voltage of the two methods are compared. The results show that the Bode plotmodeled by the frequency domain method is more accurate, and the dynamic performance of its output voltage is better.

Key words: small-signal modeling, frequency domain method, Matlab, phase-shifted full-bridge converter, PID Tuner

中图分类号:

TP391.9

高嵩, 尹雪, 胥剑涛, 苗雨豪. 基于频域法的DC/DC变换器传递函数设计方法研究[J]. 系统仿真学报, 2022, 34(2): 334-341.

Song Gao, Xue Yin, Jiantao Xu, Yuhao Miao. Research on Design Method for Transfer Function of DC/DC Converter System Based on Frequency Domain Method[J]. Journal of System Simulation, 2022, 34(2): 334-341.

图/表 11

表1

图1

图2

图3

图4

图5

图6

图7

图8

图9

表2

输出电压动态性能指标

电压

上升时间（t_r1，t_r2）/μs

调节时间

（t_s₁，t_s₂）/μs

超调量

（ $σ 1$ ， $σ 2$ ）/%

Vg1

334

15.5

Vg2

341

表2

参考文献 19

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对比类型	状态空间平均法	开关网络平均模型法	时间平均等效电路法
优点	物理概念清晰、模型简单	灵活简单、保留信息多	物理意义明确
缺点	纯粹基于数学、计算推导过程繁琐	需预知开关变换器的直流稳态特性	适用范围局限
应用场景	小信号分析	稳态分析、暂态分析	DC稳态分析、AC小信号分析

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