Transformation of the Basic Formulae for Conformal Mapping

1977 ◽  
pp. 176-195
Author(s):  
N. I. Muskhelishvili
Keyword(s):  
Conformal Mapping

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 Rotator for electromagnetic emission based on conformal mapping

2020 ◽  
Vol 1695 ◽  
pp. 012163
Author(s):  
V Pesnyakov ◽  
A Vozianova ◽  
M. Khodzitsky
Keyword(s):  
Conformal Mapping ◽  
Electromagnetic Emission
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