This paper presents a location algorithm for series arc fault in a low-voltage indoor power line in an AC 230 V 50 Hz home network. At both ends of the line, currents and voltages are recorded for each arc fault generation at different distances. Previously a fault map trace is created by using stored signature coefficients obtained from Kirchhoff equations which allow a virtual decoupling of the line's mutual capacitance. Then, the calculation of signature coefficients using Kirchhoff equations is done by considering hypothetical fault distances where the fault can appear. This procedure allows to obtain a curve with a linear trend. Finally the unknown fault distance is estimated at the intersection of this curve with the fault map trace. In the process of validation of distance estimations, many series arc fault Data (real currents data) that belong to carbonized paths or opening contacts (using copper electrodes) are inserted in the power line. Also, the performance of the algorithm is validated for different line lengths and considering different inductive loads. Locating series arc faults can be very helpful in the health monitoring of low-voltage power systems in order to efficiently locate the position of damaged cables to avoid electrical fires and save time in restoration of power supply.