Fast Simulation of Complicated 3-D Structures Above Lossy Magnetic Media
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White_Fast simulation.pdf
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2.95 MB
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Adobe PDF
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269f993330007c47cab5bff6293a2783
Author(s)
Zhang, Richard Y.
White, Jacob K.
Kassakian, John G.
Date Issued
October 2014
Journal
IEEE Transactions on Magnetics
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
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.
Version
Author's final manuscript
Abstract
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 Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1109/tmag.2014.2323933
