I. Introduction
Nearly, 70% to 90% of faults in high voltage Power Transmission Lines (PTLs) are intrinsically transient. The most prevalent potentials of transient faults are lightning and jiff contact of PTL with external objects. A Single Line to Ground (SLG) fault in one phase of PTL and subsequently opening of faulted phase can cause overvoltage in this phase [1]–[5]. This transient overvoltage results in a high amplitude current named secondary arc current when breaker is open [6]. This current causes longer presence of arc and prevents its rapid quenching. The voltage created in opened phase is depended on [7]:
Capacitive and inductive coupling between line's phases which depend on line geometry, length and distance between phases,
Operational conditions in prefault including line load current, line's voltage and etc,
Short Circuit Capacity (SCC) from viewpoint of buses and
Location of SLG fault (experimental tests show that the secondary arc current is minimum in the middle of transmission line).