Моделювання магнітного поля у вентильному електродвигуні із закритими пазами з урахуванням нелінійної магнітної характеристики
Abstract
MODELING MAGNETIC FIELD BRUSHLESS DC ELECTRIC MOTOR WITH CLOSED GROOVES TAKING INTO ACCOUNT NOTLINEAR MAGNETIC CHARACTERISTICS
A. Zhiltsov, V. Lyktey
Analysis of magnetic field of brushless DC electric motor is an important part in the task of designing and informed choice of electromagnetic loads of electric motors. Previously has been developed a mathematical model of brushless DC electric motor with permanent magnet that allows use to calculate the characteristics of the magnetic field taking into account the heterogeneity of the magnetic properties of the material.
We consider an electric motor with stator and rotor. Design feature of the present electric motor is the presence of ferromagnetic thin jumper between the stator winding and the gap in the stator and rotor. In nominal mode, the motor ferromagnetic material from which it is made is included in the state of magnetic saturation. This is to a significant reduction in shunting the magnetic flux of the stator currents and permanent magnets these bridges, insight magnetic material which is close to the value of the magnetic permeability of air. This makes it necessary to take account of the nonlinear magnetic characteristics of the material in the calculation of the average motor torque provided by the design. Three-dimensional and two-dimensional mathematical model for calculating the characteristics of the magnetic field in Brushless DC electric motor with closed grooves taking into account nonlinear magnetic characteristics has been developed on the basis of method of secondary sources. The advantage of the method of secondary sources is narrowing the search area of unknown.
Purpose — improving mathematical model for calculating performance of the magnetic field in Brushless DC electric motor with closed grooves taking into account nonlinear magnetic characteristics.
The core 1 and 2 integral equations was transformed so to help minimize the number of components that are a part of kernels the function . For this we use Green's identity in two-dimensional case. Considered a case where the magnetic field is calculated by a simple layer of magnetic charges.
Mathematical model of calculating the characteristics of the magnetic field in Brushless DC electric motor with closed grooves taking into account nonlinear magnetic characteristics were improved by modifying the kernels of integral equations to help reduce the component containing the function , allowing further simplify numerical solution of equations.
References
Zhyltsov, A. V., Lyktei, V. V. (2014). Krayova zadacha dlya trymirnogo mahnitnogo polya z urahuvannyam neodnoridnosti magnitnykh vlastyvostei seredovyshcha [Formulation boundary problem for three-dimensional vagnetic field with account heterogeneity among]. Problemy energoresursozberezhennya v elektrotechnichnykh systemakh. Nauka, osvita i praktyka. Naukove vydannya, 1(2), 124–126.
Zhyltsov, A. V., Lyktei, V. V. (2014) Rozrakhunok mahnitnoho polia v ventyl’nomu elektrodvyhuni iz zakrytymy pazamy z urakhuvannyam neliniinoyi magnitnoyi kharakterystyky. [Calculation of magnetic field in brushlrss electric motors with closet grooves taking into account notlinear magnetic characteristics] Elektromekhanichni i energozberigayuchi systemy. Shchokvartal’nyi vyrobnychyi zhurnal, 4, 59–70.
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