Темир йўл транспорти: долзарб масалалар ва инновациялар Том 6 № 2 (2025) · с. 218-229
FUNCTIONS OF APPROXIMATION OF THE MAGNETIZATION CURVE AND THEIR EFFICIENCY IN THE STUDY OF NONLINEAR MAGNETIC CIRCUITS WITH DISTRIBUTED PARAMETERS: FUNCTIONS OF APPROXIMATION OF THE MAGNETIZATION CURVE AND THEIR EFFICIENCY IN THE STUDY OF NONLINEAR MAGNETIC CIRCUITS WITH DISTRIBUTED PARAMETERS
Файзуллаев, Ж.С.
Аннотация
The article shows that among the various methods of approximating the fundamental magnetization curve of ferromagnetic materials, spline functions and universal approximating methods have the highest analytical accuracy. However, in practice, the most commonly used functions are arctangent, hyperbolic sine, hyperbolic tangent, and incomplete power polynomials with one or more terms. It has been established that when modeling nonlinear magnetic circuits with distributed parameters, the use of an incomplete power polynomial containing no more than three terms makes it possible to obtain a relatively simple analytical solution to the corresponding nonlinear differential equation.
ферромагнитный материал, индукция, напряженность, основная кривая намагничивания, аппроксимация, магнитная проницаемость, удельное магнитное сопротивление, функции аппроксимации, сплайн-функция, универсальная аппроксимация, нелинейная магнитная цепь с распределенными параметрами, дифференциальное уравнение, интегрирование, граничные условия.ferromagnetic material, induction, intensity, fundamental magnetization curve, approximation, magnetic permeability, specific magnetic resistance, approximation functions, spline function, universal approximation, nonlinear magnetic circuit with distributed parameters, differential equation, integration, boundary conditions.
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