A method to analyze communication bandwidth and pulse response of power lines with branches using backward impedance transform technique

In this research, a method to analyze frequency response and rectangular pulse response of branched power line is proposed. Many existing methods analyze the power line response by modelling the signal reflection paths from the branches. Those methods need to specifications of the paths, hence, more or less suffer from over-simplified reflection paths, especially when used on complicated network configurations. Unlike the existing methods, the proposed method requires no propagation path modelling. It first shrinks the branched network to a simple one-source-one-load network by using microwave theories to backward transform the impedances terminated at the power line branches to voltage source. Then, the voltage at the terminated loads can be determined by the expansion. The rectangular pulse response can be found by using invert fast Fourier transform of the series of frequency response. Comparison of the pulse response to widely known methods is provided.