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    ABC DQ Transformation

    Uploaded by

    Roop Kapur
    This block performs the reverse Park transformation to convert three-phase quantities (a, b, c) from a rotating dq0 reference frame to a stationary abc reference frame. It uses the direct axis (d), quadratic axis (q), and zero-sequence (0) components along with the sine and cosine of the rotational speed to calculate the three-phase quantities. This transformation is commonly used in electric machine models to eliminate time-varying inductances.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as DOCX, PDF, TXT or read online from Scribd

    ABC DQ Transformation

    Uploaded by

    Roop Kapur
    3K views2 pages
    This block performs the reverse Park transformation to convert three-phase quantities (a, b, c) from a rotating dq0 reference frame to a stationary abc reference frame. It uses the direct axis (d), quadratic axis (q), and zero-sequence (0) components along with the sine and cosine of the rotational speed to calculate the three-phase quantities. This transformation is commonly used in electric machine models to eliminate time-varying inductances.

    Original Description:

    Original Title

    ABC Dq Transformation

    Copyright

    © Attribution Non-Commercial (BY-NC)

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    This block performs the reverse Park transformation to convert three-phase quantities (a, b, c) from a rotating dq0 reference frame to a stationary abc reference frame. It uses the direct axis (d), quadratic axis (q), and zero-sequence (0) components along with the sine and cosine of the rotational speed to calculate the three-phase quantities. This transformation is commonly used in electric machine models to eliminate time-varying inductances.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    3K views2 pages

    ABC DQ Transformation

    Uploaded by

    Roop Kapur
    This block performs the reverse Park transformation to convert three-phase quantities (a, b, c) from a rotating dq0 reference frame to a stationary abc reference frame. It uses the direct axis (d), quadratic axis (q), and zero-sequence (0) components along with the sine and cosine of the rotational speed to calculate the three-phase quantities. This transformation is commonly used in electric machine models to eliminate time-varying inductances.

    Copyright:

    Attribution Non-Commercial (BY-NC)
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 2

    q0_to_abc Transformation - Perform Park

    transformation from dq0 reference frame to


    abc reference frame
    Library
    Extras/Measurements

    A discrete version of this block is available in the Extras/Discrete Measurements library.

    Description

    The dq0_to_abc Transformation block performs the reverse of the so-called Park transformation,
    which is commonly used in three-phase electric machine models. It transforms three quantities
    (direct axis, quadratic axis, and zero-sequence components) expressed in a two-axis reference
    frame back to phase quantities. The following transformation is used:

    where ω = rotation speed (rad/s) of the rotating frame.

    The transformation is the same for the case of a three-phase current; you simply replace the Va,
    Vb, Vc, Vd, Vq, and V0 variables with the Ia, Ib, Ic, Id, Iq, and I0 variables.

    The dq0_to_abc Transformation block is used in the model of the Synchronous Machine block
    where the stator quantities are referred to the rotor. The Park transformation then eliminates
    time-varying inductances by referring the stator and rotor quantities to a fixed or rotating
    reference frame. The Id and Iq currents represent the two DC currents flowing in the two
    equivalent rotor windings (d winding on the same axis as the field winding, and q winding in
    quadratic) producing the same flux as the stator Ia, Ib, and Ic currents.

    Dialog Box and Parameters


    Inputs and Outputs
    dq0

    Connect to the first input a vectorized signal containing the sequence components [d q 0]
    to be converted.

    sin_cos

    Connect to the second input a vectorized signal containing the [sin(ωt) cos(ωt)] values,
    where ω is the rotation speed of the reference frame.

    abc

    The output is a vectorized signal containing the three-phase sinusoidal quantities [phase
    A phase B phase C], in the same units as the dq0 input signal.

    Example
    See the demo of the abc_to_dq0 Transformation block for an example using the dq0_to_abc
    Transformation block.

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