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PEEC-based Simulations Using Iterative Method and Regularization Technique for Power Electronic Applications
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Embedded Internet Systems Lab.
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Embedded Internet Systems Lab.ORCID iD: 0000-0003-4160-214X
2014 (English)In: IEEE transactions on electromagnetic compatibility (Print), ISSN 0018-9375, E-ISSN 1558-187X, Vol. 56, no 6, p. 1448-1456Article in journal (Refereed) Published
Abstract [en]

The partial element equivalent circuit (PEEC) method has been widely used in different industrial and scientific fields for electromagnetic analysis. PEEC-based solvers have been optimized and accelerated in order to be able to solve larger and more complex problems that arise in industry. In power electronic system simulations, PEEC models are often simplified by neglecting electric field couplings and using quasi-static model. The simplified system can be further accelerated using reluctance technique and then sparsified up to high levels without degrading the accuracy of the solution. In previous work, the sparse system was solved using sparse direct solution, while in this study, an iterative approach is employed which resulted in lower time complexity of the solution. However, since matrices achieved from PEEC equations are severely ill-conditioned, regularization techniques need to be applied to avoid numerical instabilities. The regularization is done mathematically and can be interpreted as adding a frequency-dependent pseudocapacitor to each node in the PEEC model. Because the pseudocapacitors are frequency dependent, hence frequencies close to dc are not covered in this study and have left as future work. The new sparse and regularized system can then be solved using a Schur complement technique together with iterative solvers with a novel preconditioning approach.

Abstract [en]

The partial element equivalent circuit (PEEC) method has been widely used in different industrial and scientific fields for electromagnetic analysis. PEEC-based solvers havebeen optimized and accelerated in order to be able to solve larger and more complex problems which arise in industry. In power electronic system simulations, PEEC models are often simplified by neglecting electric field couplings and using quasistatic model. The simplified system can be further accelerated using reluctance technique and then sparsified up to high levels without degrading the accuracy of the solution. In previouswork, the sparse system was solved using sparse direct solution, while in this work, an iterative approach is employed which resulted in lower time complexity of the solution. However, since matrices achieved from PEEC equations are severely ill-conditioned, regularization techniques need to be applied to avoid numerical instabilities. The regularization is done mathematically and can be interpreted as adding a frequency dependent pseudocapacitor to each node in the PEEC model. Because the pseudocapacitors are frequency dependent, hence frequencies close todc are not covered in this work and have left as future work. The new sparse and regularized system can then solved using a Schur complement technique together with iterative solvers with a novel preconditioning approach. The results from the iterative PEEC-based solver show a significant improvement in speed with a fast convergence and accurate solution with a very low residual.

Place, publisher, year, edition, pages
2014. Vol. 56, no 6, p. 1448-1456
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Industrial Electronics
Identifiers
URN: urn:nbn:se:ltu:diva-7601DOI: 10.1109/TEMC.2014.2323016ISI: 000346716800024Scopus ID: 2-s2.0-84919881196Local ID: 5fcf6bfc-6aa3-49d3-9de7-63db370eecacOAI: oai:DiVA.org:ltu-7601DiVA, id: diva2:980491
Projects
Kretsbaserad lösare för elektromagnetisk analys av kraftelektroniksystem- Applikation mot IGBTmoduler
Note
Validerad; 2015; Nivå 2; 20140508 (jekman)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Daroui, DaneshEkman, Jonas

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