VALIDATION OF NUMERICAL INVERSION METHOD FOR LAPLACE TRANSFORM
Andreea Soimu, Dorin Popa, Andrei Marinescu · 2010
Currently there are several numerical methods for inverting the Laplace transform (ILT) but not all of them are used in electrical engineering. The main difficulty regarding the electric circuits is, among others, to find the transfer function poles represented by high degree polynomials. In this paper, we propose a numerical method based on Fourier series for inverting Laplace transforms in the case of transient analysis. To accelerate the convergence of Fourier series were used acceleration algorithms. This method has been verified and validated on a program implemented in Matlab. Two methods are used for the verification and validation of the numerical calculation results. The first method uses a comparison with exact solution, if it has an analytical form and the second method compares the performance of the software developed by the authors with the results published by other authors who have used techniques more or less different.