Analysis of piecewise-linear resistive networks using complementary pivot theory

This work develops new approaches for analysis of piecewiselinear resistive networks using an operations research analysis scheme called Complementary Pivot Theory. Complementary problem formulation for operating point and driving-point plot analysis is discussed for a general class of networks. Alternate solution determination for a general complementary problem is approached using both simple pivot operations and a breakpoint tracing technique. For networks containing active elements, the complementary approach is found to be remarkably effective at finding multiple operating points as well as driving-point (DP) or transfer characteristic (TC) plots consisting of several unconnected pieces.