Algorithm for reducing circuit equations in computer applications

The problem of computer formulation of circuit equations using the modified nodal analysis, especially in microcomputers, is addressed. The modified nodal formulation gives rise to a disproportionately large number of circuit equations even for small-size networks. An algorithm is presented to reduce the circuit equations to a very small number before solving them repeatedly, as in the case of obtaining frequency- and/or time-domain responses. This reduces the memory requirement as well as run time for the solution of network responses. Though this is useful in any computer-aided analysis of networks, it is especially useful in microcomputers where these two facts are significantly important. This also eliminates the need for solving the circuit equations using sparse matrix techniques