基于DC-DC变换器的分数阶PID控制仿真设计  

Design and Verification of Fractional Order Control for DC-DC Converters

作　　者：廖慧惠[1] LIAO Hui-hui(School of Electrical Engineering,Anhui Polytechnic of Industrial Economics,Hefei 230051,China)

机构地区：[1]安徽工业经济职业技术学院电气工程学院,安徽合肥230051

出　　处：《兰州文理学院学报(自然科学版)》2025年第2期79-83,90,共6页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：2023年度安徽省高校自然科学研究重点项目(2023AH052679)。

摘　　要：为了验证分数阶建模的精确性,进行了数值仿真研究.基于分数阶PID对数值仿真模型进行控制,并依据分抗逼近电路的基本原理,搭建了电感和电容的分抗逼近电路,通过观察输出电压波形,验证电感和电容分数阶物理模型的正确性.结果表明,在保持K_p、K_i、K_d参数不变的情况下,分数阶PID控制响应更快、控制效果更优.基于Charef-I型分抗逼近电路的分数阶电感和电容的分抗逼近模型能有效反映整数阶模型的特点.In order to verify the accuracy of fractional order modeling,numerical simulation research is conducted.Based on fractional order PID,the numerical simulation model is controlled,and according to the basic principle of fractional impedance approximation circuit,a fractional impedance approximation circuit for inductance and capacitance is constructed.By observing the output voltage waveform,the correctness of the fractional order physical model for inductance and capacitance is verified.The results show that fractional-order PID control has faster response and better control effect than traditional PID control under the condition that K p.K i.K d parameter remains unchanged.The fractional order inductance and capacitance impedance approximation model based on Charef-I type impedance approximation circuit can better reflect the characteristics of integer order models.

关 键 词：分数阶微积分 分抗逼近电路 BOOST升压变换器 分数阶PID控制器 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]