Modelling and simulation strategy for parametric transient electromagnetic simulations
by Mohammad Abid Bazaz; Mashuq un Nabi; S. Janardhanan
International Journal of Modelling, Identification and Control (IJMIC), Vol. 18, No. 3, 2013

Abstract: This paper presents an efficient two-step reduction strategy for parametric transient electromagnetic simulations. The first step involves the conversion of a large system of parametrised differential algebraic equations (PDAEs), obtained after finite element (FE) discretisation into a significantly smaller system of ordinary differential equations, while symbolically preserving the parameters. The parametric ODE (PODE) model so obtained, having an affine parametric dependence can be further reduced using system theoretic parametric model order reduction strategies. In this work, two techniques of achieving such reductions are presented: aggregate projection matrix approach and multi-dimensional moment matching. Both these methods result in symbolic retention of parameters in the reduced model. The transient electromagnetic simulations corresponding to different values of the parameters can then be carried out in the reduced space at a drastically reduced computational cost. However, it was observed that multi-dimensional moment matching gives more compact models as compared to aggregate projection matrix approach. The proposed methodology is illustrated for a generic system with promising results and a significant saving in computational cost.

Online publication date: Sat, 16-Aug-2014

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