A numerical optimisation method for obtaining technically smooth magnetisation characteristics

Issue title: ISTET '01

Article type: Research Article

Authors: Vande Sande, Hans^{a; *} | Pahner, Uwe^a | De Gersem, Herbert^a | Hameyer, Kay^a | Froyen, Ludo^b

Affiliations: [a] K.U.Leuven, Department ESAT, Div. ELECTA, Kasteelpark Arenberg 10, B-3001 Heverlee-Leuven, Belgium | [b] K.U.Leuven, Department MTM, Kasteelpark Arenberg 44, B-3001 Heverlee-Leuven, Belgium

Correspondence: [*] Corresponding author. Tel.: +32 16 32 10 20; Fax: +32 16 32 19 85; E-mail: hans.vandesande@esat.kuleuven.ac.be

Abstract: In general, if measurements can be repeated several times assuming the same conditions, the measurement error can significantly be decreased by statistically evaluating the measurements. However, an uncertainty band always remains. Non-linear numerical simulations based on e.g. the Newton-Raphson method may establish a poor convergence if they are provided directly with measured data. Therefore, data pre-processing is required. Here, a neural network approach is employed. A two-layer perceptron is fitted on a measured magnetisation curve, thereby restricting the solution to be technically feasible while accepting the statistical nature of the data. By using a perceptron, an analytical expression of the magnetisation curve is obtained and expressions for its derivatives can easily be computed.

DOI: 10.3233/JAE-2003-261

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 17, no. 1-3, pp. 231-241, 2003