I have a question about the Clarke Transformation. I have derived the transformation which can transform abc variables into alpha beta representation. This derivation is basically projecting the point of interest onto the respective axes. However, in books that I read , the Clarke transformation consists of a gamma axis which i havent acounted for, by merely projecting the point onto the alpha and beta axes, as the gamma axis is directly out of the page. Does anyone know where I can find a derivation of the full matrix?