Fast Simulation of Complicated 3-D Structures Above Lossy Magnetic Media
A fast numerical method is presented for the simulation of complicated 3-D structures, such as inductors constructed from Litz or stranded wires, above or sandwiched between the planar lossy magnetic media. Making use of its smoothness, the quasi-static multilayer Green's function is numericall...
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| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers (IEEE)
2016
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| Online Access: | http://hdl.handle.net/1721.1/101088 https://orcid.org/0000-0003-1080-4005 https://orcid.org/0000-0003-3980-2791 https://orcid.org/0000-0002-3443-5702 |
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| author | Zhang, Richard Y. White, Jacob K. Kassakian, John G. |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Zhang, Richard Y. White, Jacob K. Kassakian, John G. |
| author_sort | Zhang, Richard Y. |
| collection | MIT |
| description | A fast numerical method is presented for the simulation of complicated 3-D structures, such as inductors constructed from Litz or stranded wires, above or sandwiched between the planar lossy magnetic media. Making use of its smoothness, the quasi-static multilayer Green's function is numerically computed using finite differences, and its source height dependence is computed using an optimal Toeplitz-plus-Hankel decomposition. We show that a modified precorrected fast Fourier transform method can be applied to reduce the dense linear algebra problem to near-linear time, and that frequency-dependent setups can be avoided to result in a considerable speed-up. Experimental verifications are made for a 16-strand Litz wire coil realistically modeled down to each individual strand. Results are obtained in 2-3 h, showing an excellent agreement to measurements, and can be used to study the impact of transposition patterns in Litz wire construction. |
| first_indexed | 2024-09-23T17:04:57Z |
| format | Article |
| id | mit-1721.1/101088 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T17:04:57Z |
| publishDate | 2016 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/1010882022-10-03T10:16:13Z Fast Simulation of Complicated 3-D Structures Above Lossy Magnetic Media Zhang, Richard Y. White, Jacob K. Kassakian, John G. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Zhang, Richard Y. White, Jacob K. Kassakian, John G. A fast numerical method is presented for the simulation of complicated 3-D structures, such as inductors constructed from Litz or stranded wires, above or sandwiched between the planar lossy magnetic media. Making use of its smoothness, the quasi-static multilayer Green's function is numerically computed using finite differences, and its source height dependence is computed using an optimal Toeplitz-plus-Hankel decomposition. We show that a modified precorrected fast Fourier transform method can be applied to reduce the dense linear algebra problem to near-linear time, and that frequency-dependent setups can be avoided to result in a considerable speed-up. Experimental verifications are made for a 16-strand Litz wire coil realistically modeled down to each individual strand. Results are obtained in 2-3 h, showing an excellent agreement to measurements, and can be used to study the impact of transposition patterns in Litz wire construction. MIT Energy Initiative Singapore-MIT Alliance for Research and Technology 2016-02-04T00:33:27Z 2016-02-04T00:33:27Z 2014-10 2013-10 Article http://purl.org/eprint/type/JournalArticle 0018-9464 1941-0069 http://hdl.handle.net/1721.1/101088 Zhang, Richard Y., Jacob K. White, and John G. Kassakian. “Fast Simulation of Complicated 3-D Structures Above Lossy Magnetic Media.” IEEE Transactions on Magnetics 50, no. 10 (October 2014): 1–16. https://orcid.org/0000-0003-1080-4005 https://orcid.org/0000-0003-3980-2791 https://orcid.org/0000-0002-3443-5702 en_US http://dx.doi.org/10.1109/tmag.2014.2323933 IEEE Transactions on Magnetics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) MIT web domain |
| spellingShingle | Zhang, Richard Y. White, Jacob K. Kassakian, John G. Fast Simulation of Complicated 3-D Structures Above Lossy Magnetic Media |
| title | Fast Simulation of Complicated 3-D Structures Above Lossy Magnetic Media |
| title_full | Fast Simulation of Complicated 3-D Structures Above Lossy Magnetic Media |
| title_fullStr | Fast Simulation of Complicated 3-D Structures Above Lossy Magnetic Media |
| title_full_unstemmed | Fast Simulation of Complicated 3-D Structures Above Lossy Magnetic Media |
| title_short | Fast Simulation of Complicated 3-D Structures Above Lossy Magnetic Media |
| title_sort | fast simulation of complicated 3 d structures above lossy magnetic media |
| url | http://hdl.handle.net/1721.1/101088 https://orcid.org/0000-0003-1080-4005 https://orcid.org/0000-0003-3980-2791 https://orcid.org/0000-0002-3443-5702 |
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