Reduced-Order Model Accounting for High-Frequency Effects in Power Electronic Components

This paper proposes a reduced-order (RO) model of power electronic components based on the proper orthogonal decomposition. Starting from a full-wave finite-element model and several snapshots (solutions at different frequencies), the RO model is constructed. Local field values (e.g., magnetic flux density, electric current density, magnetic field, or electric field) and global quantities (e.g., characteristic complex impedance and Joule losses) can be determined for the intermediate frequencies with a very low computational cost and high accuracy. Particular attention is paid to the choice of the most suitable snapshots by means of three different greedy algorithms, the performance of which is compared. We adopt an automatic greedy algorithm that depends only on the RO model.

[1]  A. Patera,et al.  A PRIORI CONVERGENCE OF THE GREEDY ALGORITHM FOR THE PARAMETRIZED REDUCED BASIS METHOD , 2012 .

[2]  Jacques Lobry,et al.  Numerical Modeling of Capacitive Effects in HF Multiwinding Transformers—Part II: Identification Using the Finite-Element Method , 2013, IEEE Transactions on Magnetics.

[3]  Thomas Henneron,et al.  Model Order Reduction of Non-Linear Magnetostatic Problems Based on POD and DEI Methods , 2014, IEEE Transactions on Magnetics.

[4]  J. Driesen,et al.  An Electromagnetic Circuit Simulator for Power Electronics , 2012, IEEE Transactions on Magnetics.

[5]  Patrick Dular,et al.  Three-dimensional finite element modeling of inductive and capacitive effects in micro-coils , 2006 .

[6]  P.L. Chapman,et al.  A trajectory piecewise-linear approach to model order reduction for nonlinear stationary magnetic devices , 2004, 2004 IEEE Workshop on Computers in Power Electronics, 2004. Proceedings..

[7]  M. Clemens,et al.  Low-Order Electroquasistatic Field Simulations Based on Proper Orthogonal Decomposition , 2012, IEEE Transactions on Magnetics.

[8]  F. Kramer,et al.  A Robust Maxwell Formulation for All Frequencies , 2008, IEEE Transactions on Magnetics.

[9]  Valentin de la Rubia,et al.  Reliable Fast Frequency Sweep for Microwave Devices via the Reduced-Basis Method , 2009, IEEE Transactions on Microwave Theory and Techniques.

[10]  H. V. D. Vorst,et al.  Model Order Reduction: Theory, Research Aspects and Applications , 2008 .

[11]  Gianluigi Rozza,et al.  An introduction to reduced basis method for parametrized PDEs , 2009 .

[12]  Hajime Igarashi,et al.  Model Reduction of Three-Dimensional Eddy Current Problems Based on the Method of Snapshots , 2013, IEEE Transactions on Magnetics.

[13]  David Amsallem,et al.  An adaptive and efficient greedy procedure for the optimal training of parametric reduced‐order models , 2015 .