Determining optimal neutral reactor to limit overvoltages and duration of secondary arc of transmission lines

Even though shunt compensation of transmission lines (TLs) is a common practice to limit the overvoltages stemming from Ferranti effect, it may cause transient and steady-state resonant when one phase left open due single-pole-open condition following temporary phase-to-ground (Ph-g) fault. Furthermore, existing reactors potentially increase duration secondary arc current at fault point hence prevent offering fast single-pole reclosing. To exploit mentioned issues, in recent studies, neutral reactor introduced, which installed reactors; nonetheless, obtaining appropriate amount remarkably challenging. In this paper, an optimal (ONR) determined based on optimization problem, minimizes cost subject limiting both current. modelling, Laplace domain employed rather than phasor consider conditions since technique allows having better control over as well arc.