Transient analysis of symmetrical networks by the method of symmetrical components

The canonical equations of a general, linear, bilateral symmetrical network of n meshes on which are impressed arbitrary mesh voltages are subjected to a Laplacian transformation. The transformed equations are then subjected to a symmetrical component transformation. By the use of these transformations the transient behavior of an n mesh symmetrical network subject to impressed arbitrary voltages and initial currents and charges is readily obtained. The solution of the usual determinantal equation is avoided.