Analytical calculation of the two-dimensional field in the air gap and the slots of electrical machines

1984 ◽  
Vol 20 (5) ◽  
pp. 1783-1785 ◽  
Author(s):  
E. Bolte
Keyword(s):  
Analytical Calculation ◽  
Air Gap ◽  
Electrical Machines ◽  
Two Dimensional

A novel analytical calculation of magnetic field in the slotted air gap of spoke-type permanent-magnet machines using conformal mapping

2020 ◽  
pp. 1-15
Author(s):  
Jianqi Li ◽  
Yu Zhou ◽  
Jianying Li
Keyword(s):  
Magnetic Field ◽  
Conformal Mapping ◽  
Permanent Magnet ◽  
Flux Density ◽  
Analytical Method ◽  
Electromotive Force ◽  
Analytical Calculation ◽  
Air Gap ◽  
Permanent Magnet Machines ◽  
Peak Value

This paper presented a novel analytical method for calculating magnetic field in the slotted air gap of spoke-type permanent-magnet machines using conformal mapping. Firstly, flux density without slots and complex relative air-gap permeance of slotted air gap are derived from conformal transformation separately. Secondly, they are combined in order to obtain normalized flux density taking account into the slots effect. The finite element (FE) results confirmed the validity of the analytical method for predicting magnetic field and back electromotive force (BEMF) in the slotted air gap of spoke-type permanent-magnet machines. In comparison with FE result, the analytical solution yields higher peak value of cogging torque.

scholarly journals Composite hollow truss with multiple vierendeel panels

2013 ◽  
Vol 66 (4) ◽  
pp. 431-438
Author(s):  
Augusto Ottoni Bueno da Silva ◽  
Newton de Oliveira Pinto Júnior ◽  
João Alberto Venegas Requena
Keyword(s):  
Bearing Capacity ◽  
Failure Modes ◽  
Three Dimensional ◽  
Analytical Calculation ◽  
Two Dimensional ◽  
Shear Forces ◽  
Vertical Displacements ◽  
New System ◽  
The Ideal

The aim of this study was to evaluate through analytical calculation, two-dimensional elastic modeling, and three-dimensional plastic modeling, the bearing capacity and failure modes of composite hollow trusses bi-supported with a 15 meter span, varying the number of central Vierendeel panels. The study found the proportion span/3 - span/3 - span/3, as the ideal relationship for the truss - Vierendeel - truss lengths, because by increasing the proportion of the length occupied by the central Vierendeel panels, the new system loses stiffness and no longer supports the load stipulated in the project. Furthermore, they can start presenting excessive vertical displacements and insufficient resistance to external shear forces acting on the panels.

A Hybrid Lumped-Parameter and Two-Dimensional Analytical Thermal Model for Electrical Machines

2021 ◽  
Vol 57 (1) ◽  
pp. 246-258
Author(s):  
Dawei Liang ◽  
Z. Q. Zhu ◽  
Yafeng Zhang ◽  
Jianghua Feng ◽  
Shuying Guo ◽  
...  
Keyword(s):  
Thermal Model ◽  
Electrical Machines ◽  
Two Dimensional ◽  
Lumped Parameter ◽  
Analytical Thermal Model

The complete theory of cross-magnetization in uniform air-gap electrical machines

1988 ◽  
Vol 71 (1) ◽  
pp. 43-55 ◽  
Author(s):  
K. P. Kovács ◽  
R. Belmans ◽  
W. Geysen ◽  
A. Vandenput
Keyword(s):  
Air Gap ◽  
Electrical Machines ◽  
Complete Theory

Analytical Calculation of Slotless Permanent Magnet Motor Based on Soft Ferrite

2013 ◽  
Vol 397-400 ◽  
pp. 501-504
Author(s):  
Xin Yi Zhang ◽  
Xing Hua Wang ◽  
Ming Hui Li ◽  
Xue Qin Zhang
Keyword(s):  
Finite Elements ◽  
Permanent Magnet ◽  
High Speed ◽  
Analytical Calculation ◽  
Air Gap ◽  
Permanent Magnet Motor ◽  
Leakage Flux ◽  
Brushless Motor ◽  
Prototype Test ◽  
Soft Ferrite

High-speed slotless permanent magnet brushless motor based on soft ferrite adopts a large effective air gap structure. For the large effective air-gap, the air-gap flux distribution becomes uneven and the end leakage flux significantly increases. Thus, the traditional analytical method of the phase EMF is inapplicable. This paper deduces the analytical expression of the phase EMF based on the analytical calculation of the air-gap field and analyzes the distribution of the end leakage flux by 3D finite elements methods. Then the end leakage flux is considered by a correction factor of the core length. Finally the analytical calculation method is proved to be feasible by the comparison between the finite elements results and the prototype test results.

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