Calculation of induced voltages on overhead lines caused by inclined lightning studies

Mitigation of the produced voltages in AC overhead power-lines/pipelines parallelism during power frequency and lightning conditions

“…Figure 10 illustrates the effect of v on both U i and U p for all strokes. The decrease in U i and U p with v is attributed to the fact that the inducing scalar potential produced by the return stroke is inversely proportional to v [23]. On the other hand, the negative subsequent stroke has the highest time derivative of the electric and magnetic fields, hence the effect of both the horizontal and vertical electric field components is dominant, which linearly increase with v [23].…”

Theoretical Comparison of Agrawal's and Rusck's Field-to-Line Coupling Models for Calculation of Lightning-Induced Voltage on An Overhead Wire

“…Judging from the equivalent circuits for the calculation of the in duced voltage shown in [2,4] and [10], the conclusion in this letter might be surprising due to their apparent differences. Therefore, one should not make too much of the equivalent circuit in compar ing the calculated results, although it is very helpful in under standing the phenomena.…”

“…The equations formulated by Rusck[l] and modified by Sakakibara [4], as opposed to the Agrawal's, are analytically solved as follows: (9) V(x)=Vr(x)+em(x)•c (10) Vr (1) potential, respectively; and Vr(x) is a kind of scattered voltage but different from VS(x).…”

“…This model is applied to the calculation of the induced voltage over perfectly conducting ground associated with a vertical return-stroke channel in most of the cases [2,3]. Sakakibara modified the Rusck's model to be applicable to the calculation of the induced voltage over per fectly conducting ground associated with an inclined return-stroke channel [4] by adding a part of the horizontal electric field as inducing sources. The term "Rusck's model" implies Sakakibara's method which was developed from the Rusck's original model.…”

Electromagnetic Fields Produced by Inclined Return Stroke Channel

“…He assumed that the charge density distribution along the leader channel is uniform and the current waveform is triangular. His method has been later extended to a channel with arbitrary configuration by Wu and Hsiao [7].…”