Abstarct: Identifying the fault location in the transmission lines and fixing the problem in the shortest possible time is of particular importance in order to reduce blackouts and increase the reliability of the network. One of these fault location methods is the impedance-baxsed method. The precise values of transmission line parameters and the Thevenin impedance of the network are unknown due to various issues such as temperature change and network structure, which can affect the accuracy of this method in locating the fault in both uncompensated and compensated transmission lines. Therefore, in this article, the proposed method is an intelligent impedance-baxsed method using the variable neighborhood search algorithm, taking into account the uncertainty in the line parameters and the Thevenin impedance of the network in locating single-phase-to-ground faults. In the proposed method, only one-end-current data is used to estimate the location of the fault, which does not require a telecommunication platform and results in increasing the reliability of the location method. The simulation results show that the method has high accuracy in fault location in transmission lines even though the line parameters and Thevenin impedance of the network are unknown. Examining the sensitivity of the algorithm to the change of source angle, sampling frequency, fault resistance, fault starting angle, line compensation level, untransposition lines, noise and transformer measurement error, shows that the proposed method has proper accuracy under different conditions. Also, the accuracy of the proposed method is testedon IEeE 39-bus test system under different conditions, and the obtained results indicate the proper performance of this method.