基于特征值灵敏度的共模-差模电压控制SIDO Buck变换器稳定性分析  

Stability analysis of common-mode voltage and differential-mode voltage controlled SIDO Buck converter based on eigenvalue sensitivity

作　　者：皇金锋[1] 谢锋 李慧慧 HUANG Jin-feng;XIE Feng;LI Hui-hui(School of Electrical Engineering,Shaanxi University of Technology,Hanzhong 723001,China)

机构地区：[1]陕西理工大学电气工程学院,汉中723001

出　　处：《电机与控制学报》2021年第11期114-121,共8页Electric Machines and Control

基　　金：国家自然科学基金(51777167)。

摘　　要：针对单电感双输出(SIDO)Buck变换器控制参数设计困难的问题,对共模-差模电压控制SIDO Buck变换器的稳定性进行深入分析。建立了变换器的状态空间平均模型,结合雅克比矩阵和劳斯-赫尔维茨判据得到了共模-差模电压控制器控制参数的稳定范围。指出支路a比例系数(k_(pa_))具有稳定下界,积分系数(k_(ia))具有稳定上界和下界;同时支路b比例系数(k_(pb))和积分系数(k_(ib))均具有稳定的上界和下界。通过对控制器参数的特征值灵敏度进行研究,发现增大k_(pa)、减小k_(ia)、减小k_(pb)以及减小k_(ib)有利于提高系统的稳定性。实验结果验证了理论分析的正确性。Aiming at the difficulty in designing the control parameters of the single-inductor dual-output(SIDO)Buck converter,the stability of the common-mode differential-mode voltage control SIDO Buck converter was analyzed.The state-space average model of the converter was established,combined with the Jacobian matrix and the Routh-Hurwitz criterion,and the stable range of the control parameters of the common-mode voltage and differential-mode voltage controller was obtained.It is pointed out that the proportional coefficient(k_(pa))of branch a has stable lower bounds,and the integral coefficient(k_(ia))has stable upper and lower bounds;meanwhile,the proportional coefficient(k_(pb))and integral coefficient(k_(ib))of branch b have stable upper and lower bounds.Through the research on the eigenvalue sensitivity of the controller parameters,it is found that increasing k_(pa),decreasing k_(ia),decreasing k_(pb),and decreasing k_(ib) are beneficial to improve the stability of the system.Correctness of the theoretical analysis is verified by the experimental results.

关 键 词：单电感双输出 共模-差模电压 稳定性分析 状态空间平均模型 雅可比矩阵 特征值灵敏度 

分 类 号：TM46[电气工程—电器]