Theoretical Evaluation of Multiphase Propagation

The theoretical transient solution of multiphase transmission line propagation is reviewed by comparison of the Fourier and Laplace transform techniques applicable to this problem. The results show that the Fourier transform technique is more general, because it can include consideration of frequency dependent transmission line parameters and frequency dependent eigenvectors. The Laplace transform technique is applied to a lossy, completely transposed, transmission line using a new shorthand matrix notation for balanced matrices in the analysis. These results show that modal analysis canbe used in the balanced transmission line analysis. A discussion of possible simulation techniques are discussed and it is concluded that further work is required in this area to adequately incorporate attenuation and distortion on long duration switching surges.