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# Re: Flux calculation

- To: femm@yahoogroups.com
- Subject: Re: Flux calculation
- From: "David Meeker" <dmeeker@ieee.org>
- Date: Tue, 08 Jul 2003 04:03:55 -0000
- In-reply-to: <000a01c3415a$098ddce0$1429558d@Y5311.sfux.com>
- User-agent: eGroups-EW/0.82

    Mihai Priboianu wrote:

    > Hello !!!
    >
    > I am trying to calculate the flux for a permanent magnet synchronous
    machine. So I use a Lua script which evaluates the magnetic vector
    potential A in each stator slot for a different position of the rotor.
    For example I have the phases A1, A2, X1 and X2 and I am using the
    following relation to calculate the flux for phase A:
    >
    > fluxA=(AA1-AX1+AA2-AX2)*w1*L
    >
    > fluxB=(AB1-AY1+AB2-AY2)*w1*L
    >
    > fluxC=(AC1-AZ1+AC2-AZ2)*w1*L
    >
    > where: AA1, AA2, AX1 and AX2 are the magnetic vector potentials for
    the slots A1, A2, X1 and, rspectively, X2;
    > w1-number of turns in each slot, in my case w1=15 turns
    > L - the length of the machine, in my case L=57 mm
    >

    To find the instantaneous flux linkage for a given phase, integrate
    A.J over a given phase and divide by the instantaneous phase current.

    > Also, I need to calculate the inductances for each phase. For that I
    am using the following relations:
    >
    > LA=fluxA/iA
    >
    > where iA is the curent of the phase A.
    >
    > Are all these correct?
    >

    With a PM synchronous machine, your flux linkage could include flux
    contributions from the permanent magnets--you don't want to count this
    flux linkage in the computation of self inductance. If you want the
    inductance of a phase, you can either "turn off" the magnets (OK if
    saturation isn't really an issue) or by perturbing the phase current
    slightly and computing the change in flux linkage/change in current
    (which gives you the incremental inductance about some operating point).

    Dave.
    --
    David Meeker
    http://femm.berlios.de/dmeeker

- References:
  - Flux calculation
    - From: "Mihai Priboianu" <pribo@amotion.pub.ro>

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