最小二乘法在距离保护中的应用初探  

Primary research of implementing least squares in digital distance relaying

作　　者：黄彦全[1] 肖建[1] 李晋 唐磊[1] 

机构地区：[1]西南交通大学电气工程学院,四川成都610031 [2]铁道第一勘测设计院电化处,甘肃兰州730000

出　　处：《继电器》2004年第7期17-20,共4页Relay

基　　金：国家自然科学基金资助项目(69774024)

摘　　要：电压和电流信号中存在的非周期分量和高次谐波分量会影响到距离保护测量阻抗的真实性。通过滤除非工频信号而获得的基波阻抗值,可以确保距离保护动作的正确性。基于最小二乘原理的参数估计是应用相当普及的方法,将最小二乘法应用于距离保护中,构建了基于微分方程的系统模型,提出通过测量电感参数获得测量电抗,为解决基于微分方程测量电阻参数估计模型误差大的问题,提出基于有功功率概念构建的测量电阻参数估计模型,并就所提出方法进行了仿真验证,表明通过最小二乘法进行的测量阻抗参数估计是可以应用于距离保护的。Sensed impedance of distance relay may be distorted by the non-periodic and harmonic value of the sensed voltage and current. To ensure the operating correctness of distance relay, the fundamental voltage and current for impedance calculation must be abtained. The popular principle of parametrical estimation is the least squares algorithm. The least squares algorithm is applied to the distance relay in this paper. The system model based on the differential equation is constructed. Since the MSE(Mean Square Error) of estimating resistance based on the model of differential equation is unacceptable, a new model of instant power consumption for estimating resistance is suggested. Both the model based on the differential equation and that based on the instant power consumption are validated by simulation. The result of analysis and simulation shows that the sensed impedance for distance relay can be gotten by individually estimating inductance and resistance.

关 键 词：距离保护 最小二乘法 测量电感 测量电阻 

分 类 号：TM773[电气工程—电力系统及自动化]