Currents and Voltages Induced by Electric Field in Two Converging Single-wire Overhead Transmission Lines

Three methods for specifying the function of partial mutual capacitance between converging single-wire overhead transmission lines (OTL) i and k depending on the distance along the line are considered: in graphic, analytical and interpolation modes. The practical coincidence of the mutual capacitance values along the converging lines calculation results for the considered methods is shown. Schemes and algorithms for current and voltage distribution along i and k converging single-wire OTL calculation are developed using Carson's equation for line self-inductance, taking into account the ground finite conductivity, and with the replacement of partial mutual conductance and phase' electromotive force (EMF) to elementary current source function. Calculations of the induced current and voltage distribution along i disconnected line under its grounding at near and far from k line end were carried out. It is shown that induced voltage at the ungrounded end of disconnected line is higher than at the grounded one. It is noted that when i line is grounded at far end from k line, the induced voltage at the ungrounded end is higher than when i line is grounded at near from k line end. Current voltage values induced by electric field in i line grounded an no grounded ends depending on the line convergence “p” section length, minimum “a0” distance between the converging lines and “Θ” angle of the line convergence are carried out. Boundary p, a
₀
and Θ values, one of which violation allows us to neglect the converging OTL electric effect.