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line integral and antiperiodic BC



Hi everybody
I've met the problem with simple line integral calculating the total flux and
average Bn. I posted example, where the situation occured. It presents a PM
synchronous machine (only half of machine, used antisymetric BC) 
When I chose the contour for the calculation of average Bn over one rotor pole
in the airgap (see example.gif) I realized, that the result depends on the
way, how I selected a contour for the calculation. 
1. When the startpoint is selected inside of the region and endpoint is on the
boundary (antisimetric BC), the result is Bn1=0 (nonsense).
2. When the startpoint is selected on the boundary, and endpoint is inside the
airgap, the result of line integral is certain value Bn2=nonzero.
3. When I choose the contour arbitrary (by right button of mouse) in the
similar location and I obtain the different value of the Bn3 (Bn3=2*Bn2).

It seems, that correct value of Bn is the value Bn3. But I expected the same
values obtained by different ways(except sign).

If anybody interested, I included also fem file. Maybe I make all the time
same stupid mistake, can anybody show me the right way or a reason of
differences?

Note the example uses linear characteristic of iron, just because of
computation speed (in reality I use nonlinear BH characteristics).

Thanks in advance

George Vecerka
Department of power electric and electronic
Faculty of Electrical Engineering and Computer Science
Brno University of Technology
Czech Republic


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