最小二乘法在电路实验中的应用  

Application of Least Square Method in Circuit Experiment

作　　者：王慧娟[1] 崔桂彦[1] 范海红 冯文宏[1] WANG Huijuan;CUI Guiyan;FAN Haihong;FENG Wenhong(School of Electrical and Electronic Engineering,North China Electric Power University,Baoding 071003,China)

机构地区：[1]华北电力大学电气与电子工程学院,保定071003

出　　处：《电气电子教学学报》2022年第6期152-155,共4页Journal of Electrical and Electronic Education

基　　金：华北电力大学2019年校级教育教学改革专项项目(2019-ZXSZ12);河北省新工科研究与实践项目-迈向能源互联网的电气工程专业课程体系改造(2020GJXGK066)。

摘　　要：利用最小二乘法线性拟合原理,对功率因数提高实验和RLC串联电路谐振实验进行理论分析,得到相应自变量和因变量的线性方程,然后对测量数据运用最小二乘法进行线性回归,得到线性方程的系数,进而计算得到实验中待求的参量。这种方法能够比较精确地找到待求参量,减少了实验中反复测量的工作量,可直接与理论值进行对比,减少了测量值与理论值的误差。In this paper,the power factor improvement experiment and RLC series circuit resonance experiment are theoretically analyzed by using the least square method linear fitting principle,and the linear equations of the corresponding independent variables and dependent variables are obtained.Then,the measured data are linearly regressed with the least square method to obtain the coefficient of the linear equation,and the parameters to be determined in the experiment are calculated.This method can find the parameters accurately,reduce the workload of repeated measurement in the experiment,directly compare with the theoretical value,and reduce the error between the measured value and the theoretical value.

关 键 词：电路实验 最小二乘法 功率因数 串联谐振 

分 类 号：O4-33[理学—物理]