Derivation of anti Park transform and anti Clarke transform formulas for motor control

Motor control reverse Park Transformation and inverse Clarke Derivation of transformation formula

1. back Park Transformation
   First of all, let's make a point , Positive Park Transform sum Clarke The object of transformation is current , On the contrary Park Transformation and inverse Clarke The object of transformation is voltage . The drawing is as follows ：
   
   Then we can deduce ：
   
2. back Clarke Transformation
   The drawing is as follows ：

The formula is derived as follows ：

Further simplification ：