Generalized mesh and node systems of equations

IN THE PAST, great precision or breadth in techniques for establishing the equations for electrical networks has not been of too great importance since the large scale use of systems of equations for computations or even for theoretical investigations has not been of major interest. At the present time, however, two factors are appearing which alter this situation. First, computers are making it entirely feasible to design and study, by way of very extensive numerical calculations, electrical networks of considerable complexity. The effective use of computers requires that the defining equations must be formed with precision and complete assurance. Second, the complexity of the transient response problems (analysis and synthesis) now being encountered makes it imperative that the broadest and most general formulation of network equations be established.