Next Article in Journal
Iterated Petrov–Galerkin Method with Regular Pairs for Solving Fredholm Integral Equations of the Second Kind
Next Article in Special Issue
Exact Two-Dimensional Analytical Calculations for Magnetic Field, Electromagnetic Torque, UMF, Back-EMF, and Inductance of Outer Rotor Surface Inset Permanent Magnet Machines
Previous Article in Journal / Special Issue
Memory Efficient Method for Electromagnetic Multi-Region Models Using Scattering Matrices
Article Menu
Issue 4 (December) cover image

Export Article

Open AccessFeature PaperArticle

Magnetic Field Analytical Solution for Non-homogeneous Permeability in Retaining Sleeve of a High-Speed Permanent-Magnet Machine

Departamento de Engenharia Elétrica (DEE), Universidade Federal de Minas Gerais (UFMG), Belo Horizonte, MG 31270-901, Brazil
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2018, 23(4), 72; https://doi.org/10.3390/mca23040072
Received: 9 October 2018 / Revised: 6 November 2018 / Accepted: 7 November 2018 / Published: 10 November 2018
(This article belongs to the Special Issue Mathematical Models for the Design of Electrical Machines)
  |  
PDF [1740 KB, uploaded 10 November 2018]
  |  

Abstract

This work presents a novel solution for magnetic field calculation in two-dimensional problems in which one region is defined with space-varying magnetic parameter. The proposed solution extends the well-established Maxwell–Fourier method for calculating magnetic fields in surface-mounted cylindrical high-speed permanent-magnet machines. This contribution is effective to evaluate more realistic magnetic parameters, where measurements of a high-speed permanent-magnet generator prototype indicate saturation in the retaining sleeve due to pole-to-pole leakage flux. The saturation profile is a function of mechanical angle and can be modeled with the aid of a space-varying relative permeability, expressed in terms of a Fourier series. As an example, the presented solution has been applied to a surface-mounted PM machine at no-load condition. Magnetic field calculations show that a simple saturation profile, with low order space-varying permeability in the retaining sleeve significantly affects the magnetic flux density distribution in the air-gap. The analytical solution is confronted with finite-element method, which confirms validity of the proposed methodology. View Full-Text
Keywords: analytical model; high-speed; sleeve; non-homogeneous permeability; permanent-magnet analytical model; high-speed; sleeve; non-homogeneous permeability; permanent-magnet
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Mendonça, G.A.; Maia, T.A.C.; Cardoso Filho, B.J. Magnetic Field Analytical Solution for Non-homogeneous Permeability in Retaining Sleeve of a High-Speed Permanent-Magnet Machine. Math. Comput. Appl. 2018, 23, 72.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top