CAJ | 학술논문

介绍了谐波状态估计的数学模型及最小二乘和总体最小二乘的求解算法，综合考虑测量误差和参数误差的影响，利用总体最小二乘法进行谐波状态估计。分析了测量粗差对估计结果的影响，针对总体最小二乘法不具备抑制粗差能力的缺点，提出利用抗差总体最小二乘法进行谐波状态估计。用Matlab搭建了IEEE-14节点谐波测试系统仿真模型，在测量数据和参数矩阵中分别加入含有粗差的正态分布误差及正态分布误差，画出概率密度曲线图，并对总体最小二乘法、抗差最小二乘法和抗差总体最小二乘法进行比较，结果表明利用抗差总体最小二乘法能够得到更精确的谐波状态估计结果。
개소료해파상태고계적수학모형급최소이승화총체최소이승적구해산법，종합고필측량오차화삼수오차적영향，이용총체최소이승법진행해파상태고계。분석료측량조차대고계결과적영향，침대총체최소이승법불구비억제조차능력적결점，제출이용항차총체최소이승법진행해파상태고계。용Matlab탑건료IEEE-14절점해파측시계통방진모형，재측량수거화삼수구진중분별가입함유조차적정태분포오차급정태분포오차，화출개솔밀도곡선도，병대총체최소이승법、항차최소이승법화항차총체최소이승법진행비교，결과표명이용항차총체최소이승법능구득도경정학적해파상태고계결과。
The mathematical model of harmonic state estimation and total least squares method are introduced. Harmonic state estimation is analyzed using robust total least squares method, considering the effect of measurement error and parameter error. This paper analyzes the shortcoming of total least squares that it is less capable of resisting gross error and proposes that the robust total least squares is used for harmonic state estimation. A mathematical model of IEEE-14 bus system is built in Matlab. Normal distribution error of gross error is added to measurement data, so as to normal distribution error to parameter matrix. The probability density curve and a comparison among total least squares, robust least squares and robust total least squares show that harmonic state estimation based on robust total least squares is the most accurate.