C2000 Park Transformation

Convert two-phase stationary system vectors to rotating system vectors

Library

Embedded Coder^® Support Package for Texas Instruments™ C2000™ Processors/ Optimization/ C28x DMC

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Description

This block converts vectors in balanced two-phase orthogonal stationary systems into an orthogonal rotating reference frame. The transformation implements these equations

$$\begin{array}{l}ID=Id*\cos \theta +Iq*\sin \theta \\ IQ=-Id*\sin \theta +Iq*\cos \theta \end{array}$$

and is illustrated in the following figure.

The variables used in the preceding figure and equations correspond to the block variables as shown in the following table:

	Equation Variables	Block Variables
Inputs	id	Alpha
	iq	Beta
	θ	Angle
Outputs	ID	Ds
	IQ	Qs

The inputs to this block are the direct axis (Alpha) and the quadrature axis (Beta) components of the transformed signal and the phase angle (Angle) between the stationary and rotating frames.

The outputs are the direct axis (Ds) and quadrature axis (Qs) components of the transformed signal in the rotating frame.

The instantaneous inputs are defined by the following equations:

$$\begin{array}{l}id=I*\sin (\omega t)\\ iq=I*\sin (\omega t+\pi /2)\end{array}$$

Note

• To generate optimized code from this block, enable the TI C28x or TI C28x (ISO) Code Replacement Library.

• The implementation of this block does not call the corresponding Texas Instruments library function during code generation. The TI function uses a global Q setting and the MathWorks^® code used by this block dynamically adjusts the Q format based on the block input. See Using the IQmath Library for more information.

References

For detailed information on the DMC library, see C/F 28xx Digital Motor Control Library, Literature Number SPRC080, available at the Texas Instruments Web site.