| Summary: | 博士 === 國立臺灣大學 === 電信工程學研究所 === 90 === Two matrix approaches, the Haar wavelet scale domain (HWSD) method and the staircase-approximation time-domain (SATD) method, for transient analysis of transmission line circuits are proposed in this dissertation. By basis expansion in the time domain, the transmission line equations, dispersive or not, are converted into matrix differential equations. Transient response is obtained by matrix operations. Both methods are essentially suitable for lossy and dispersive transmission lines with nonlinear terminations. Problems of nonuniform lines can easily be extended by cascaded uniform transmission line sections. Based on the two matrix approaches, hybrid or overall transient analysis considering loss, dispersion, nonuniformity, nonlinearity, excited waveforms and circuit topologies can also be carried out without combining other different analysis techniques. These two methods can be regarded as duals of the conventional time-harmonic approach because they result in transient response while the time-harmonic approach leads to steady states. The SATD is a special case of the HWSD, but the former is more efficient than the latter because of its compact matrix form. Numerical examples of different and mixed types of transmission lines, with linear and nonlinear terminations, are compared with other methods inclusive of PSPICE, FDTD, and inverse Fourier transform to show the capability and versatility of our proposed methods. Moreover, computation times are also tabulated to show the efficiency.
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