Simplex optimization in the problem of determining the magnetic characteristics of high-coercive permanent magnets
Abstract
Simplex optimization in the problem of determining the magnetic characteristics of high-coercive permanent magnets
Incoming article date: 06.05.2023The paper is devoted to the application of the simplex optimization algorithm in the field of magnetic measurements, namely in measuring the demagnetization curve of highly coercive magnetic materials. The algorithm has found its place in the implementation of a new method based on the full-scale model approach and the Gills-Atterton hysteresis model, the essence of which is also described in the work. It is expected that the new method will make it possible to more accurately determine the demagnetization curve of permanent magnets by using voltage meters instead of classical induction sensors, which will avoid the accumulation of error. The simplex optimization algorithm makes it possible to optimize the parameters of the Gills-Atterton model in such a way that the simulated mathematical model of a highly coercive magnetic material best corresponds to the measured magnetic material. The method is tested on a multiphysical model built in the COMSOL Multiphysics software package and includes calculations of an inductor and a permanent high-coercive magnet.
Keywords: permanent magnet, neodymium magnet, highly coercive material, magnetic material, Fourier-Bessel decomposition, approximation, momentum, optimization, simplex, Nelder-Mead algorithm, mathematical model, coercive force, hysteresis