Transmission line parameters measurement algorithm based on step-by-step weighted least square method in complex field

摘要

Ordinary least square method in complex field has the hypothesis of homoscedasticity, but the least square value will deviate from the true value if the measurement samples exhibit heteroscedasticity. In this paper, an improved step-by-step weighted least square method in complex field is proposed, by introducing weight coefficient into ordinary least square method, then changing weight coefficient step by step until the error between adjacent least squares value doesn't reduce anymore. The accuracy of measurement results can be improved by using this algorithm in transmission line parameters measurement, simulation and field experiment results demonstrate the effectiveness of the proposed approach.