Pulse propagation along multi wire electric fences

A semi-analytical technique to study the propagation characteristics of high voltage (HV) transient pulses along multi wire electric fences is presented in this paper. The technique models the multi-line fence as a frequency domain function, composed of matrices and vectors, to facilitate an analytical solution for propagation of HV pulses along the fence. The modal transformation is used to decouple the frequency domain function, which is then solved and transformed into time domain through a numerical Laplace inversion algorithm to determine the propagation characteristics of the fence at a given location and time. For various line conditions, the propagation of HV pulses is investigated, and the results are presented with comparisons to simulations by power systems computer aided design (PSCAD) to show the validity of theoretical analysis. The technique provides an accurate insight into the propagation characteristics of HV pulses along multi wire fence lines and thus is an invaluable tool at the design phase of electric fence energizers.