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Park Transform 1

Owned by Sylvain Ménard
Last updated: Mar 11, 2023
2 min read

Park Transform αβ0 to dq0 Block

Block

Mask

Mask

Description

This block performs the Park transformation from a two-phase reference frame to a direct and quadrature (D, Q) rotating reference frame.

All the calculations performed by this block are made in the per-unit scale. Therefore, the user should ensure that inputs are correctly scaled before entering the block.

It is based on the following equations:


Parameters

These parameters have been optimized to provide an accuracy better than 0.01% for an angle resolution of 16 bits, and has been disabled. If a better resolution is needed, the expert developer can change the parameters by disabling the link between this block and the library.

Output number of bitsThis parameter sets the number of bits used to format the outputs.
Output binary pointThis parameter sets the outputs binary point location.
Sine and Cosine number of bitsThis parameter sets the number of bits used for the generation of the sine and cosine intermediate signals.

Inputs

xα ,xβ ,x0These inputs are signals (currents, voltages, etc...) expressed in the two phases reference frame (Clarke or Concordia) in the per-unit scale. "x0" corresponds to the homopolar quantity and is equal to zero for balanced systems (xa + xb + xc = 0). Their format is Fix18_16.
ThetaThis input is the angle expressed per-unit on which the direct and quadrature axis of the DC reference frame should be attached with regards to the initial three-phase reference frame. A value of 0 on this input corresponds to 0 radian and a value of 1 corresponds to 2π radians. Its format is UFixX_X. (A format of UFix16_16 on this input reduce the output error lower than 0.01% where a format of UFix15_15 induces an error on the output higher than 0.03%.)

Outputs

xd ,xq ,x0 These outputs are per unit signals (currents, voltages, etc...) expressed in the d,q,0 reference frame. "x0" corresponds to the homopolar quantity and is equal to zero for balanced systems (xa + xb + xc = 0). Their default format is Fix18_16 but can be specified by user through the mask parameters.

Characteristics and Limitations

This block cannot be used in Virtex5-based platforms, such as the ML50x series.

Direct FeedthroughN/A
Discrete sample timeN/A
XHP supportYES
Work offlineYES

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