Practical implementation of a transmission line model for transient analysis considering corona and skin effects

Abstract

This paper presents a single phase line model for simulating transient wave propagation including both, frequency dependence and corona effects. The Telegrapher equations modified by Radulet, et al., for including frequency dependence, are adopted here as the model basis. The non linear version of these equations resulting from including corona are solved by a finite differences method in characteristic coordinates. The convolution term in the Radulet equations is handled numerically, first through the Leibnitz rule for differentiating an integral and, then, by synchronizing a recursive convolution scheme with the finite differences mesh prescribed by the characteristic coordinates. The recursive convolution parameters are obtained using vector fitting. The application examples provided here demonstrate the numerical efficiency and stability of the implemented line model.