A straightforward method for incorporating mutually-coupled circuits into the bus admittance matrix using the concept of artificial branches

A method is presented for demonstrating the effects of mutual inductive coupling to students which only requires inspection. The method, which is computationally stable for all practical cases investigated by the authors, produces no additional buses and retains the topological structure of the prototype except for the addition of some artificial lines. It is demonstrated that the procedure is applicable to a variety of situations and, once the basic principle is understood, can be immediately applied to yield a coupling-free equivalent network whose parameters are directly amenable to inclusion in the bus admittance matrix