{"title":"A 3D Analytical Model of a Magnetoelectric Brushless DC Electric Motor","authors":"A. A. Afanasyev","doi":"10.3103/s1068371224700159","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>A mathematical model of a magnetoelectric brushless dc electric motor is considered, based on solving the 3D Laplace equation in partial derivatives using the method of separation of variables for nested hollow cylinders of finite length, the boundary conditions for which coincide with the boundary conditions of the magnetic field caused by constant magnets in closed rotor channels, stator winding currents, and induced magnetizations in both cores. The constants of the method of separation of variables are found from solving a system of linear algebraic equations, the matrix of which has a size of 24 × 18 in the example under consideration. The elements of the matrix are the Bessel, Infeld, and MacDonald functions with the corresponding eigenvalues. The distribution of magnetic induction in the air gap of the motor is analyzed. It is shown that the radial component of induction in a limited area near the edge of the cores experiences a surge. With equal shortening of the length of the stator and rotor cores, an increase in the radial magnetic induction in the air gap is observed due to an increase in the magnetic flux density in it, caused by the constancy of the magnetomotive force of the rotor and stator magnets in this procedure.</p>","PeriodicalId":39312,"journal":{"name":"Russian Electrical Engineering","volume":"33 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Electrical Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3103/s1068371224700159","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
A mathematical model of a magnetoelectric brushless dc electric motor is considered, based on solving the 3D Laplace equation in partial derivatives using the method of separation of variables for nested hollow cylinders of finite length, the boundary conditions for which coincide with the boundary conditions of the magnetic field caused by constant magnets in closed rotor channels, stator winding currents, and induced magnetizations in both cores. The constants of the method of separation of variables are found from solving a system of linear algebraic equations, the matrix of which has a size of 24 × 18 in the example under consideration. The elements of the matrix are the Bessel, Infeld, and MacDonald functions with the corresponding eigenvalues. The distribution of magnetic induction in the air gap of the motor is analyzed. It is shown that the radial component of induction in a limited area near the edge of the cores experiences a surge. With equal shortening of the length of the stator and rotor cores, an increase in the radial magnetic induction in the air gap is observed due to an increase in the magnetic flux density in it, caused by the constancy of the magnetomotive force of the rotor and stator magnets in this procedure.
期刊介绍：
Russian Electrical Engineering is a journal designed for the electrical engineering industry and publishes the latest research results on the design and utilization of new types of equipment for that industry and on the ways of improving the efficiency of existing equipment.
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