Multirate Partial Differential Equations for the Efficient Simulation of Low-Frequency Problems with Pulsed Excitations
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This paper proposes the use of Multirate Partial Differential Equations (MPDEs) for the efficient solution of low-frequency applications with pulsed excitation. The system of differential equations describing the application is reformulated as MPDEs which are solved by a Galerkin approach and time discretization. For the solution expansion two types of basis functions are proposed, namely classical Finite Element (FE) nodal functions and the recently introduced pulse width modulated (PWM) basis functions. The method is applied to the example of a simplified buck converter. Convergence, accuracy of the solution and computational efficiency of the method are numerically analyzed.
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