Realizable Reduction of $RC$ Networks

In this paper, we develop from various points of view the TIme-Constant Equilibration Reduction (TICER) algorithm, a circuit-reduction method that converts a given $RC$ network into a smaller $RC$ network (one with fewer nodes and branches) by eliminating nodes that have few neighbors and small nodal time constants. Advantages of TICER include: great efficiency, intuitive error control, preservation of sparsity, output in the form of an $RC$ network, and the ability to handle networks with many ports.