Int. J. Modelling, Identification and Control, Vol. x, No. x, 200x 1 Modelling and simulation strategy for parametric transient electromagnetic simulations Mohammad Abid Bazaz* Department of Electrical Engineering, National Institute of Technology, Srinagar, 190006, India E-mail: abid@ee.iitd.ac.in *Corresponding author Mashuq un Nabi and S. Janardhanan Department of Electrical Engineering, Indian Institute of Technology, Delhi, 110016, India E-mail: mnabi@ee.iitd.ac.in E-mail: janas@ee.iitd.ac.in 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. Keywords: finite element modelling; parameters; repetitive simulations; model order reduction; MOR; singular value decomposition; SVD; moments. Reference to this paper should be made as follows: Bazaz, M.A., Nabi, M.u. and Janardhanan, S. (xxxx) ‘Modelling and simulation strategy for parametric transient electromagnetic simulations’, Int. J. Modelling, Identification and Control, Vol. x, No. x, pp.xxx–xxx. Biographical notes: Mohammad Abid Bazaz received his MTech in Control and Automation from Electrical Engineering Department, Indian Institute of Technology, Delhi, India in 2008 and is currently pursuing his PhD in Electrical Engineering from the same institute. He is a faculty member with Electrical Engineering Department, National Institute of Technology, Srinagar, India and is on deputation to IIT Delhi for his PhD. His research interests include model order reduction of electromagnetic and coupled systems, structure preserving reductions and parametric model order reduction. Mashuq un Nabi received his PhD in Electrical Engineering from Indian Institute of Technology, Bombay, India in 2004. He is currently working as an Assistant Professor in the Department of Electrical Engineering, Indian Institute of Technology, Delhi, India. His research interests include model order reduction of non-linear and parametric systems, computational algorithms for modelling and simulation of distributed systems and finite element modelling of electromagnetic and coupled systems. Copyright c ⃝ 2011 Inderscience Enterprises Ltd.