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Novel Modeling and Solution Approach for Repeated Finite-Element Analysis of Eddy-Current Systems.

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Title: Novel Modeling and Solution Approach for Repeated Finite-Element Analysis of Eddy-Current Systems.
Authors: Nabi, M. U.1 svk@ee.iitb.ac.in, Kulkarni, S. V.1 mashuq@ee.iitb.ac.in, Sule, V. R.1 vrs@ee.iitb.ac.in
Source: IEEE Transactions on Magnetics. Jan2004 Part 1 of 2, Vol. 40 Issue 1, p21-28. 8p.
Subjects: Finite element method, Eddy currents (Electric), Permeability, Algorithms, Linear systems, Electrical harmonics
Abstract: In this paper, we present an efficient modeling and computational scheme for a repeated solution of an eddy-current system with different values of the supply frequency as well as of the permeability and conductivity of the eddy-current region. The scheme is based on a general parametric expression obtained for the finite-element (FE) solution with the supply frequency, permeability, and conductivity as parameters. The algorithm allows for numerically efficient updating of the solution for different values of the parameters through the solution of a much smaller sparse linear system, instead of a repeated solution of the entire FE model. Moreover, if required, the solution can be computed only over a small region of interest, making the scheme ideally suited to many coupled-field problems. As an application, the scheme is applied to a typical bar-plate eddy-current system, excited by nonsinusoidal currents. The time variations of the magnetic field are computed as a superposition of responses computed for a number of harmonies. An a priori estimate for the difference between responses to two harmonics has been obtained, which can be used as a frequency-sensitivity measure to avoid computation of responses to all individual harmonics. The applicability of the approach to general transient excitations and further possible developments are identified. [ABSTRACT FROM AUTHOR]
Copyright of IEEE Transactions on Magnetics is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Novel Modeling and Solution Approach for Repeated Finite-Element Analysis of Eddy-Current Systems.
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  Data: <searchLink fieldCode="JN" term="%22IEEE+Transactions+on+Magnetics%22">IEEE Transactions on Magnetics</searchLink>. Jan2004 Part 1 of 2, Vol. 40 Issue 1, p21-28. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Eddy+currents+%28Electric%29%22">Eddy currents (Electric)</searchLink><br /><searchLink fieldCode="DE" term="%22Permeability%22">Permeability</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+systems%22">Linear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Electrical+harmonics%22">Electrical harmonics</searchLink>
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  Data: In this paper, we present an efficient modeling and computational scheme for a repeated solution of an eddy-current system with different values of the supply frequency as well as of the permeability and conductivity of the eddy-current region. The scheme is based on a general parametric expression obtained for the finite-element (FE) solution with the supply frequency, permeability, and conductivity as parameters. The algorithm allows for numerically efficient updating of the solution for different values of the parameters through the solution of a much smaller sparse linear system, instead of a repeated solution of the entire FE model. Moreover, if required, the solution can be computed only over a small region of interest, making the scheme ideally suited to many coupled-field problems. As an application, the scheme is applied to a typical bar-plate eddy-current system, excited by nonsinusoidal currents. The time variations of the magnetic field are computed as a superposition of responses computed for a number of harmonies. An a priori estimate for the difference between responses to two harmonics has been obtained, which can be used as a frequency-sensitivity measure to avoid computation of responses to all individual harmonics. The applicability of the approach to general transient excitations and further possible developments are identified. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of IEEE Transactions on Magnetics is the property of IEEE and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1109/TMAG.2003.821561
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      – Code: eng
        Text: English
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        PageCount: 8
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      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Eddy currents (Electric)
        Type: general
      – SubjectFull: Permeability
        Type: general
      – SubjectFull: Algorithms
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      – SubjectFull: Linear systems
        Type: general
      – SubjectFull: Electrical harmonics
        Type: general
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      – TitleFull: Novel Modeling and Solution Approach for Repeated Finite-Element Analysis of Eddy-Current Systems.
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              Text: Jan2004 Part 1 of 2
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