Fast and accurate switching transient calculations on transmission lines with ground return using recursive convolutions

TLDR

The paper introduces a new method for calculating transients on frequency‑dependent transmission lines, aiming to reduce computation time by eliminating convolutions. The method approximates line and ground distortions and time‑varying characteristic admittances with exponential functions, yielding a simple Norton‑type line equivalent that can be integrated into existing transient analysis programs such as B.P.A. Testing on systems of varying complexity shows the program is faster and more accurate than other advanced methods.

Abstract

The paper presents a new approach to the calculation of transients on transmission lines with frequency-dependent parameters. Its purpose is to obtain significant computer-time savings by avoiding convolutions. This is achieved by approximating all line and ground distortions and also time variable characteristic admittances by exponential functions, i.e. solutions of linear differential equations. The method produces a simple Norton-type line equivalent which permits its incorporation into an existing system representation like the B.P.A. program for the calculation of transients. The program has been tested on systems of different degrees of complexity and proved to be superior, in terms of speed and accuracy, to other advanced methods.