System and method for determining a position of a single phase fault to ground in a feeder line

A system for determining a position of a single phase fault to ground in a feeder line, the feeder line electrically connected to an electrical substation via a substation bus, the system comprising:

• a first sensor electrically coupled to a transformer in the electrical substation, the first sensor measuring an amplitude and a phase angle of an electrical current being output by the transformer to the substation bus electrically connected to the feeder line;
• a second sensor electrically coupled to the transformer in the electrical substation, the second sensor measuring an amplitude and a phase angle of a voltage being output by the transformer to the substation bus electrically connected to the feeder line;
• and
• a processor operably communicating with the first and second sensors, the processor configured to determine a reactance value based on the amplitude of the electrical current, the amplitude of the voltage, a phase angle between the electrical current and the voltage, and a predetermined constant, the processor further configured to access a table having a plurality of position identifiers associated with positions on the feeder line, and a plurality of reactance component values corresponding to reactance components of Thevenin impedances at the positions on the feeder line relative to the substation bus, the processor further configured to select a first reactance component value from the plurality of reactance component values in the table that substantially corresponds to the reactance value, the processor further configured to select a first position identifier from the plurality of position identifiers that is associated with the first reactance component value, the first position identifier indicating a first estimated position of the single phase fault to ground in the feeder line, the processor further configured to display the first position identifier on a display device.