永磁同步电机双率残差增广最小二乘参数辨识

第18卷一第4期2014年4月一电一机一与一控一制一学一报Electri c 一Machines 一and 一Control 一Vol．18No．4Apr.2014

一一一一一一永磁同步电机双率残差增广最小二乘参数辨识

徐鹏1,2,一肖建1,一杨奕2,一李山2

(1.西南交通大学电气工程学院,四川成都610031;2.重庆理工大学电子信息与自动化学院,重庆400054)摘一要:针对永磁同步电机系统输入输出的本质多采样率特性,结合多项式变化技术,构建模型转换矩阵,推导出基于电流和电压的永磁同步电机双率采样数学模型,获得其扩展参数向量,并构建其回归模型,针对输入输出量中不可测干扰量采用残差估计,进而建立永磁同步电机双率残差增广最小二乘算法(DR -RELS ),对其算法收敛性进行分析三仿真实验结果表明,DR -RELS 算法对变换后的永磁同步电机双率采样数据模型参数估计一致收敛,同时噪声方差的大小影响该算法收敛效果三

关键词:永磁同步电机;多采样率;多项式变换技术;残差;增广最小二乘算法;一致收敛

中图分类号:TM 351文献标志码:A 文章编号:1007-449X(2014)04-0045-07

Residual based extended least squares identification method of permanent magnet synchronous motor dual-rate sampling data system

XU Peng 1,2,一XIAO Jian 1,一YANG Yi 2,一LI Shan 2

(1.School of Electrical Engineering,Southwest Jiaotong University,Chengdu 610031,China;2.School of Electronic and Automation,Chongqing University of Technology,Chongqing 400054,China)

Abstract :Permanent magnet synchronous motors(PMSM)control system has multi-rate sampling charac-teristic in itself on the system input and output.The model transformation matrix was proposed based on polynomial transformation technique and the dual-rate mathematical model of PMSM was induced under the current and voltage,and the extended parameters vector and regressive model of dual-rate sampled system was acquired.The residual was used to estimate the unmeasurable noise,and then the residual based extended least squares (DR-RELS)was proposed and used to the parameters identification,and the convergence properties of the algorithm was analyzed.Simulation results show that DR-RELS is uni-formly convergence for the parameters of PMSM dual-rate sampling system,and meanwhile noise variance affects the convergence performance of this proposed algorithm.

Key words :permanent magnet synchronous motors;multi-rate sampling;polynomial transformation tech-nique;residual;extended least squares;uniformly convergence 收稿日期:2013-04-22

基金项目:国家自然科学基金(51177137);重庆市科委自然科学基金(cstc2012jjA40066);重庆市教委科学技术项目(KJ130807)作者简介:徐一鹏(1978 ),男,博士研究生,研究方向为永磁同步电机控制技术;

肖一建(1950 ),男,博士,教授,博士生导师,研究方向为智能控制二计算机控制;

杨一奕(1970 ),男,教授,研究方向为电气系统控制技术;

李一山(1965 ),男,博士,教授,研究方向为电力传动技术三

通讯作者:徐一鹏