Semi-Direct METHOD of Modular Analysis Using a Variation of the Modified Nodal METHOD of Formulating the Network Equations With No Auxiliary Variables
Original Publication Date: 1983-Dec-01
Included in the Prior Art Database: 2005-Feb-08
Large circuits that cannot otherwise be computer-analyzed by conventional circuit algorithmic methods are analyzed by a semi-direct method consisting of an inner Newton and an outer relaxation loop. A large circuit is partitioned into smaller circuits, the ith one of which has a set of internal variables, xi, and external (or connection) variable, u, which is common to all sub-circuits. The solution is obtained iteratively: First, a convergence solution (X*)n of the nth sub-circuit is obtained by setting u constant and iterating on Xn, (using only the equations of the nth sub-circuit). Having done that for all n = 1,2,...N = no. of sub-circuits, a convergence solution u* is obtained by setting (X*)1, (X*)2, ..., (X*)n constant and iterating on u, using the connection equations (i.e.