Park transform of PMSM FOC control MATLAB / Simulink simulation

1.Park The principle of transformation

Previous section , We said ,PMSM foc Control requires coordinate transformation , That's it Clark Transformation , Actually in Clark After the transformation, you still need Park Transformation , Put the static 2 Phase coordinates are converted to 2 Phase moving coordinates , namely 2s->2r

Principle or projection theorem

2.Park The calculation process of transformation

Iα stay Id and Iq Up projection ,Iβ Also in the Id and Iq Up projection , According to the projection theorem ：

Id=cosθ*Iα+sinθ*Iβ

Iq= - sinθ*Iα+cosθ*Iβ

θ yes Id and Iα Included angle of shaft

3.Park Simulation model construction

Iα and Iβ Phase difference 90 Degree sine wave , The magnitude is 1,;theta It's the angle value 0-2*pi

Model input ：Iα、Iβ、theta

Output ：id、iq

4. Simulation effect demonstration