Iteration Methods for Determination of Impulse expressed by Double Exponential Functions

Abstract

We have studied two methods to compute parameters for the impulse voltage expressed by the double exponential functions under given front time and tail time. The first method is based on the Newton method and shows good convergence in several iterations over wide ratio of front time and tail time. The second method uses an acceleration factor to decrease the differences of time parameters which are given by the iteration process. We can determine a double exponential function under a millisecond by both methods. However, a short tail impulse needs more number of iterations than standard lightning impulse.