Transformation Theory of General Static Polyphase Networks

Starting from the canonical equations of a general, linear, bilateral network and by the application of transformation matrices, giving the various current constraints in typical polyphase systems, equations are obtained which give the response of the most general wye-wye, delta-delta, and delta-wye static systems to arbitrary electromotive forces at the sending and receiving ends. Mutual inductances and capacitances are assumed between the various branches of the circuits. The paper is concluded with a brief exposition of the method of symmetrical components from the transformation point of view and an application to the general wye-wye circuit is given as an example.