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# line integral and antiperiodic BC

- To: femm@yahoogroups.com
- Subject: line integral and antiperiodic BC
- From: <vecerkaj@usa.net>
- Date: 14 Jun 2001 08:19:12 MDT

    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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    Get free email and a permanent address at http://www.netaddress.com/?N=1

Attachment: `example1.fem`
Description: Binary data

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