输电线路故障定位的最小二乘法实现

当输电线路发生故障时，要求尽快查找到故障并进行处理后恢复供电。这就要求定位装置有尽可能高的精度。故障定位精度的高低除了受所采用的算法原理影响外，还受对所采集的数据的处理方法的影响。文中输电线路故障定位采用R-L模型的微分方程算法。由最小二乘法获得的估计在高斯白噪声条件下具有最佳的统计特性，辅助变量法在噪声系统模型未知情况下具有一致性的估计，故用最小二乘法进行估计后，再运用辅助变量法进行修正。经过数字仿真和静模试验，结果比较稳定。说明该算法抗干扰能力较强，精度满足工程要求。

LEAST SQUARE REALIZATION IN FAULT LOCATION OF TRANSMISSION LINE

The differential equation is taken the R- L m odel as the algorithm of transmission line fault location.Two kinds of estimations have been explained:the leastsquare method having the optimum statistic character under some certain conditions while the auxiliary variable m ethod having the character of consistency estim ation under the unknown m odel of a noise system . So the parameter is estimated by the former and the latter introduced to rectify it. The digital simulation and static experim ent confirm the validity of data process and the result is steady.It indicates that the method works well in reducing the influence of noise and the precision can satisfy the requirem ent in engineering.