Wavelet transform solution of multiconductor transmission line transients

In this paper a wavelet transform approach is used to solve multiconductor transmission line equations. By using wavelets on the interval, differential and integral operators are represented by sparse matrices. Then the time domain differential equations of multiconductor transmission lines are reduced to algebraic ones. The unknowns of the algebraic system are the coefficients of the wavelet basis functions. Therefore a Fourier-type approach is obtained for transient analysis of transmission lines. The procedure reduces the CPU times with respect to the usual transient analysis obtained by time stepping methods. An initial analysis of the numerical characteristics and performances of the method is carried out considering constant RLCG multiconductor lines.