Real-time simulation of power converters using Adomian decomposition method on mini-FSS

Abstract

Approximate analytical solution of linear or nonlinear ordinary differential equations (ODE) can be obtained by Adomian decomposition (ADM) method. The nonlinearities in the ODEs are approximated by Adomian polynomials and a rapidly convergent sequence of approximate functions will be obtained as a solution. The ADM is widely used for numerical simulations of real-world systems in the applied sciences and engineering including nonlinear ODE and DAE problems. Multi-stage Adomian decomposition method (MADM) extends the region of convergence of ADM by integrating over multiple overlapping time intervals. In this paper applicability of the MADM for real-time simulation has been investigated for the first time. 3-term approximation of MADM is used for the solution of a series RL circuit, buck converter and boost converter. Mini-FSS, an indigenous real-time simulator developed under National Mission on Power Electronics Technology (NaMPET) Phase II, government of India, has been used in this paper. The results of the MADM simulation are compared with the Backward Euler method on mini-FSS. The MADM accuracy and the execution times are found to be comparable to the Backward Euler method.