The 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

The work is devoted to the development of a new method for determining the demagnetization curve of high-coercive permanent magnets, for example, magnets made of NeFeB alloy. It is expected that the new method will make it possible to more accurately determine the demagnetization curve of permanent magnets by using voltage and current meters instead of class induction sensors, which will avoid the accumulation of error that occurs when integrating a signal from induction sensors. The paper describes in detail the algorithm of the new method for determining the demagnetization curve, provides references to the methods and algorithms used in the development of the new method. The method was tested on a multiphysical model of a permanent magnet and a magnetizing installation built in the COMSOL Multiphysics software package.

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

The construction of a regression model of errors in the approximation of the current curve from factors affecting this error is described. The following factors are selected as influencing factors: the number of coefficients of the Bessel-Fourier decomposition and the number of points on which the original function is constructed. Experimental data were obtained as a result of modeling electrical processes occurring in a pulsed magnetization reversal system.

Keywords: permanent magnet, regression model, Bessel-Fourier decomposition, approximation, momentum, factors, function, curve, momentum, error

A method for measuring the magnetic characteristics of high-coercive permanent magnets made of rare-earth materials, such as neodymium-iron-boron and samarium-cobalt, is proposed. The essence of the method is as follows: the data on the measured supply voltage and the characteristics of the magnetizing installation base a mathematical model; the measured shape of the magnetizing current pulse is fed into the mathematical model and compared with the simulated current pulse in the comparison device; further, if the difference in current characteristics does not satisfy the measurement accuracy, then adjustments are made to the mathematical model. Thus, the mathematical model determines the magnetic characteristics of a permanent high-coercive magnet. The method is developed based on full-scale model tests using a multiphysical computer model. The implementation of the measurement method is based on modern IT solutions, the multiphysical model is built in the COMSOL Multiphysics software package.

Keywords: magnet, magnetic parameter, multiphysical model, magnetization, highly coercive material, neodymium, wavelet, Fourier analysis, COMSOL