I'm confused about the FOC Clarke Transform. I understood the transform principle from 3 phase stationary frma to 2 phase stationary frame. And it is a easy trigonometric calculation. I'm doing it like the attached image.
My Clarke Transform Calculation
But all the books, application notes are doing it like the following equations which is 2/3 times of my result. Ialpha = Ia Ibeta = (1/sqrt(3)) (Ia + 2Ib)
Total MMF is 3/2 times larger then the MMF of a phase. So i think my calculation is correct. Similar mismatch is exist at Inverse Clarke transform. What is my mistake? Thanks in advance.