The invention relates to a single-end
ranging method for an arc light high-resistance earth fault of a
power transmission line. Sampling is carried out continuously on a fault phase current I phi, a zero-sequence current i0 and a fault phase
voltage u phi(n) of a
power transmission line, steady-state fault
data sequences i phi (n), i0 (n), and u phi (n) after the fault are obtained, and a1(n) is calculated; a group of initial parameter solutions (1, UT, IS, and RF)<0> are given and a convergence error r(n) is calculated based on a formula; for a kth iterative solution (1, UT, IS, and RF) <k>, a steepest descent method is used and the solution to a fitting error minimal value is determined in a negative
gradient direction as a searching direction; repeated iterative calculation is carried out continuously until an iterative solution (1, UT, IS, and RF)<k+1> of the (k+1)th times meets a given iterative termination principle:|(1, UT, IS, and RF)<k+1>-(1, UT, IS, and RF)<k>| < e, and an optimal solution (1, UT, IS, and RF)<*> is obtained, wherein the corresponding 1 expresses a fault distance. According to the method, on the basis of the characteristics of the fault arc dynamic nonlinearity and
high resistance, a logarithm expression of an arc is provided according to the fault arc air
discharge essence described by the Thompson principle. A defect that traditional arc
differential equation calculation can not be used by the fault
ranging algorithm directly can be overcome; and the practical flexibility is high.