Transient numerical solutions of nonuniform MTL equations with nonlinear loads by wavelet expansion in time or space domain

This paper deals with the numerical solution of nonuniform transmission lines (TLs) with nonlinear loads. The method presented here is based on the wavelet expansion; a weak formulation of the TL equations is obtained by expanding voltages, currents, and operators by means of wavelet functions. The TL equations are transformed into algebraic equations where the differential operator is represented by a matrix and the unknowns are the coefficients of the wavelet expansion of voltages and currents. The numerical efficiency of the method is tested analyzing uniform, nonuniform lines and nonlinear loads. The results are compared with results obtained by means of different methods.