Some Problems of Mathematical Application of Transformations Used in the General Theory of Electric Machines.

In calculating operating conditions of electric machines one comes across the difficulty that the inductance of machine windings depends on the angle alpha characterizing rotor rotation. The mastery of transformations eliminating parameters depending on the angle takes place, as a rule, mainly on the basis of physical considerations, but it is necessary to investigate the background of the transforming methods with mathematical procedures. The article proves that under ordinary conditions the transformation matrix has the form C equals Se**F** alpha , where S is a complex unitary, and F a complex oblique symmetrical matrix with constant elements. Determination of the transforming matrix for n-m phase machines is presented.