In a three phase power system the highest frequency is of single line-to-ground fault due to ionization of air or physical touching of transmission lines. Second most occurring fault is short-circuit fault occurring in line-to-line due to lightning strikes or physical contact. Third kind of short-circuit fault occur in double-line-to-ground fault due to dust storm or flood coming. At last short-circuit fault occur in balanced three-phase faults due to all three lines being shorted to ground.
Therefore, theorder of frequency of occurrence of short-circuits faults in three-phase power systems is Single line-to-ground, line-to-line, double line-to-ground, balanced three-phase faults.