Automatic Differentiation for Sensitivity Calculation in Electromagnetism: Application for Optimization of a Linear Actuator

Automatic differentiation (AD) is introduced as a powerful technique to compute derivatives of functions given in the form of computer programs in high-level programming languages such as FORTRAN, C, or C++. This paper applies AD to compute error-free gradients of electromagnetic device sizing model...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2011-05, Vol.47 (5), p.1238-1241
Main Authors: Enciu, Petre, Gerbaud, Laurent, Wurtz, Frédéric
Format: Article
Language:English
Subjects:
Actuators
Algorithm design and analysis
Automatic differentiation (AD)
Cross-disciplinary physics: materials science
rheology
Electric power
Electromagnetic devices
electromagnetic sizing models
Engineering Sciences
Equations
Exact sciences and technology
Force
gradient-based optimization
Magnetism
Materials science
Mathematical model
Optimization
Other topics in materials science
Physics
sensitivity calculation
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Summary:Automatic differentiation (AD) is introduced as a powerful technique to compute derivatives of functions given in the form of computer programs in high-level programming languages such as FORTRAN, C, or C++. This paper applies AD to compute error-free gradients of electromagnetic device sizing models. Then, the obtained gradients are exploited in optimization to size electromagnetic devices by means of minimizing a cost function with constrained parameters and performances. Often, the electromagnetic devices models have to be described not only by analytical formulas, but also by algorithms. This paper proposes an electromagnetic model of a linear actuator dealing with implicit equations solved by numerical algorithms. The ADOL-C package is considered for automatic differentiation.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2010.2073452