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Proceedings Paper

Efficient implementation algorithm for a homogenized energy model with thermal relaxation
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Paper Abstract

In this paper, we present a new algorithm to implement the homogenized energy hysteresis model with thermal relaxation for both ferroelectric and ferromagnetic materials. The approach conserves most of the accuracy of the original algorithm, but enables all erfc and exp functions to be calculated in advance, thereby requiring that only basic mathematical operations be performed in real time. This is done without a signicant increase in memory usage. Using this approach, execution time of the model has been seen to improve by a factor of 70 for some applications, whereas the error only increases by five ten thousandths (0.05%) of the saturation polarization/magnetization. The model with negligible relaxation is also given, as it is used to illustrate some optimizations. Emphasis is placed on the ecient computation of these models, and theoretical development is left to the references.

Paper Details

Date Published: 19 May 2005
PDF: 11 pages
Proc. SPIE 5757, Smart Structures and Materials 2005: Modeling, Signal Processing, and Control, (19 May 2005); doi: 10.1117/12.602273
Show Author Affiliations
Thomas R. Braun, North Carolina State Univ. (United States)
Ralph C. Smith, North Carolina State Univ. (United States)


Published in SPIE Proceedings Vol. 5757:
Smart Structures and Materials 2005: Modeling, Signal Processing, and Control
Ralph C. Smith, Editor(s)

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