Computation of transmission line transients including corona effects

An efficient algorithm for computation of transients in parallel multi-conductor transmission systems including corona effects is developed using the finite difference method. A hybrid scheme consisting of both forward and backward differences is used to discretize the telegraphers' equations. This results in a tridiagonal difference equation and turns out to have a regressive solution with good stability and high efficiency. Good agreement is shown between computed and measured results for many cases. The corona model proposed in Ref. [1] is extended to multi-phase cases to match with the algorithm. The two aspects of the corona effect, power loss and change in capacitance, are combined by simply simulating a nonlinear capacitor having the same charge-voltage characteristics as the line in corona.