Eddy Current Distribution in Rotor of Permanent Magnet Generators using 3D Transient FEM

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  • 8/11/2019 Eddy Current Distribution in Rotor of Permanent Magnet Generators using 3D Transient FEM

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    Hung Vu

    [email protected]

    @All rights reserved 1

    Eddy Current Distribution in Rotor ofPermanent Magnet Generators

    using 3D Transient FEM

    Hung Vu, PhD

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    Hung Vu

    [email protected]

    @All rights reserved 2

    Outline

    Geometry model,

    3D transient Finite Element Model (FEM),

    Rotor eddy current distribution during noload,

    Rotor eddy current distribution due to current-carrying windings, and

    Segmentation magnet to reduce eddy current

    loss.

    conclusion

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    Hung Vu

    [email protected]

    @All rights reserved 3

    Geometry Model

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    Hung Vu

    [email protected]

    @All rights reserved 4

    3D Transient FEM Modeling

    Hybrid between Scalar Magnetic Potential

    and Vector Magnetic Potential

    0 0

    e

    r

    m

    AH J

    t

    B A

    H

    H V

    Governing equations of the magnetic field:

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    Hung Vu

    [email protected]

    @All rights reserved 5

    Magnetic Fields in a Domain without

    Currents using Scalar Magnetic Potential Vm

    In magnetostatic problems where no electric currents

    are present, it is possible to formulate and solve the

    problem using a scalar magnetic potential.

    In a current-free region: H= 0 (Amprs Law)

    This implies that the magnetic scalar potential Vm canbe defined from the relation: H = Vm

    Using the constitutive relation: B = 0rH+Br, the

    equationB = 0 (Gauss Law) becomes:

    0 0r mV rB

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    Hung Vu

    [email protected]

    @All rights reserved 6

    Magnetic Fields in a Domain with Currents

    using Vector Magnetic PotentialA

    1 1

    0

    1 1

    0

    1 10

    ( ) , or

    ( ) , or

    ( ) ( )

    ( )

    r

    r

    r

    t

    t

    t

    t

    r e

    r e

    r e

    e

    AB B v B J

    AB B v B J

    AA B v A J

    AJ v A J

    where, Je

    is an external current density, v is the velocity of

    the conductor, is scalar electric potential, and J is total

    current.

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    [email protected]

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    Meshing

    Tetrahedral meshes

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    Hung Vu

    [email protected]

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    Rotor eddy current distribution during noload

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    Hung Vu

    [email protected]

    @All rights reserved 9

    Eddy Current in Rotor Yoke

    During noload

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    [email protected]

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    Magnet eddy current distribution due to

    current-carrying windings alone

    External current in windings

    Magnet eddy current distribution

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    [email protected]

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    Segmented magnets

    3 segmentations in the

    axial direction.3x3 segmentations.

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    [email protected]

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    Reducing Eddy Current by using

    Magnet Segmentations

    Note: During noload, fully open slot, 3000 rpm.

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    [email protected]

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    Comparison of 2D and 3D computation

    20

    125

    25

    100

    0

    20

    40

    60

    80

    100

    120

    140

    1 3

    Magnet segmentation number

    Eddycurrentlossesinmagnets(W)

    Fully-open slot, 3D

    Fully open slot, 2D

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    [email protected]

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    Video of eddy current