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Direct-quadrature-zero transformation

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The direct-quadrature-zero (DQZ, DQ0 or DQO, sometimes lowercase) or Park transformation (named after Robert H. Park) is a tensor that rotates the reference frame of a three-element vector or a three-by-three element matrix in an effort to simplify analysis. The transformation combines a Clarke transformation with a new rotating reference frame.

The direct-quadrature-zero (DQZ, DQ0[1] or DQO,[2] sometimes lowercase) or Park transformation (named after Robert H. Park) is a tensor that rotates the reference frame of a three-element vector or a three-by-three element matrix in an effort to simplify analysis. The transformation combines a Clarke transformation with a new rotating reference frame.[3] The Park transformation is often used in the context of electrical engineering with three-phase circuits. The transformation can be used to rotate the reference frames of AC waveforms such that they become DC signals. Simplified…

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