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# Inductance and mutul inductance caculation

- To: femm@egroups.com
- Subject: Inductance and mutul inductance caculation
- From: stsc_sh@sina.com
- Date: Fri, 29 Dec 2000 09:01:42 -0000
- User-agent: eGroups-EW/0.82

    Before you caculate inductance or mutul inductance, you have to
    formulate your problem in such a way that all the currents (space,
    surface or linearly distributed) but one are set to zero. There must
    be no permanent magnets in your model. In that case equation above
    becomes xtremely simple and you can get inductance value as :
    E
    L = 2 * -----
    I^2
    where E is stored magnetic energy and I is the only current(amp-
    turns). This question is used for selfinductance caculation. It's
    more exact than flux linkage caculation.

    Also, you can get mutul inductance use flux linkage method by the
    below equation:

    ¦Õ
    L = ----
    I
    where ¦Õ is the flux linkage with the coil excited by current I(amp-
    turns).

    for plannar problem:

    ¡ÒA ¡¤dS ¡ÒA ¡¤dS
    ¦Õ = RightSide(--------- ) - LeftSide(---------)
    ¡ÒdS ¡ÒdS

    where A is the vector magnetic potential; RightSide and LeftSide
    denote the right and the left side of the coil accordingly.

    The difficult to use this equation is that we can't get dS from femm.
    But if we choose a uniform mesh density in coil cross section and the
    mesh is dense enough, we can assume that each dS is a constant in the
    cross section. So the equation become easy to caculate by femm:

    ¦Õ = RightSide( ¡ÒA ) - LeftSide( ¡ÒA )

    Hope this can help you.

    si hang

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