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static void | tpt_park_f32 (f32_t *pId, f32_t *pIq, f32_t Ialpha, f32_t Ibeta, f32_t aSinVal, f32_t aCosVal) |
| Floating-point Park transform. More...
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static void | tpt_park_q31 (q31_t *pId, q31_t *pIq, q31_t Ialpha, q31_t Ibeta, q31_t aSinVal, q31_t aCosVal) |
| Q31 Park transform. More...
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Forward Park transform converts the input two-coordinate vector to flux and torque components. The Park transform can be used to realize the transformation of the Ialpha
and the Ibeta
currents from the stationary to the moving reference frame and control the spatial relationship between the stator vector current and rotor flux vector. If we consider the d axis aligned with the rotor flux, the diagram below shows the current vector and the relationship from the two reference frames:
The function operates on a single sample of data and each call to the function returns the processed output. The library provides separate functions for Q31 and floating-point data types.
- Algorithm
-
where
Ialpha
and Ibeta
are the stator vector components, pId
and pIq
are rotor vector components and cosVal
and sinVal
are the cosine and sine values of theta (rotor flux position).
- Fixed-Point Behavior
- Care must be taken when using the Q31 version of the Park transform. In particular, the overflow and saturation behavior of the accumulator used must be considered. Refer to the function specific documentation below for usage guidelines.
◆ tpt_park_f32()
Floating-point Park transform.
- Parameters
-
[out] | pId | points to output rotor reference frame d. |
[out] | pIq | points to output rotor reference frame q. |
[in] | Ialpha | input two-phase vector coordinate alpha |
[in] | Ibeta | input two-phase vector coordinate beta |
[in] | aSinVal | sine value of rotation angle theta |
[in] | aCosVal | cosine value of rotation angle theta |
- Returns
- none
The function implements the forward Park transform.
◆ tpt_park_q31()
Q31 Park transform.
- Parameters
-
[out] | pId | points to output rotor reference frame d. |
[out] | pIq | points to output rotor reference frame q. |
[in] | Ialpha | input two-phase vector coordinate alpha |
[in] | Ibeta | input two-phase vector coordinate beta |
[in] | aSinVal | sine value of rotation angle theta |
[in] | aCosVal | cosine value of rotation angle theta |
- Returns
- none
- Scaling and Overflow Behavior
- The function is implemented using an internal 32-bit accumulator. The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format. There is saturation on the addition and subtraction, hence there is no risk of overflow.