The solution of the Korn-Lichtenstein equations of conformal mapping: the direct generation of ellipsoidal Gauß-Krüger conformal coordinates or the Transverse Mercator Projection

1998 ◽  
Vol 72 (5) ◽  
pp. 282-293 ◽  
Author(s):  
E. W. Grafarend ◽  
R. Syffus
Author(s):  
Jianqi Li ◽  
Yu Zhou ◽  
Jianying Li

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.


2019 ◽  
Author(s):  
Duanyang Kong ◽  
Patrick Moon ◽  
Odey Bsharat ◽  
Rylan Lundgren
Keyword(s):  

We report a method for the decarboxylative alkylation of amines via the direct generation of a benzylic nucleophiles.


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