A Self-Adaptive Model-Order Reduction Algorithm for Nonlinear Eddy-Current Problems Based on Quadratic–Bilinear Modeling
- 6 October 2015
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Magnetics
- Vol. 52 (3), 1-4
- https://doi.org/10.1109/tmag.2015.2487601
Abstract
The finite-element time-domain simulation of nonlinear eddy-current problems requires the iterative solution of a large, sparse system of equations at every time-step. Model-order reduction is a powerful tool for reducing the computational effort for this task. In this paper, an adaptive order-reduction methodology with error control is proposed. In contrast to previous approaches, it treats the nonlinearity without simplification, by rewriting the original equations as a quadratic-bilinear system.Keywords
This publication has 10 references indexed in Scilit:
- Novel Approach to Model Order Reduction for Nonlinear Eddy-Current ProblemsIEEE Transactions on Magnetics, 2015
- Model Order Reduction of Non-Linear Magnetostatic Problems Based on POD and DEI MethodsIEEE Transactions on Magnetics, 2014
- Nonlinear model order reduction based on local reduced‐order basesInternational Journal for Numerical Methods in Engineering, 2012
- Reliable Fast Frequency Sweep for Microwave Devices via the Reduced-Basis MethodIEEE Transactions on Microwave Theory and Techniques, 2009
- QLMORPublished by Association for Computing Machinery (ACM) ,2009
- Efficient MATLAB Computations with Sparse and Factored TensorsSIAM Journal on Scientific Computing, 2008
- A general and natural method to define circuit relations associated with magnetic vector potential formulationsIEEE Transactions on Magnetics, 1999
- Characterization of a Class of Sigmoid Functions with Applications to Neural NetworksNeural Networks, 1996
- Voltage forced coils for 3D finite-element electromagnetic modelsIEEE Transactions on Magnetics, 1988
- Methods for eddy current computation in three dimensionsIEEE Transactions on Magnetics, 1982