LARGE-SCALE CIRCUIT ANALYSIS USING A NEW REDUCED-ORDER TECHNIQUE BASED ON STATE EQUATIONS

Abstract. The paper presents some new tearing techniques to systematically formulate the state equations in symbolic normal-form for linear and/or nonlinear time-invariant large-scale analog circuits. The excess elements of the first and of the second kind are unitarily treated in order to allow a symbolic representation of the circuit with a minimum number of state variables. A procedure to reduce the state equation number of each subcircuit is also presented. The order reduction is made using an implicit integration algorithm and eliminating some selected state variables. An example is given to illustrate the decomposition procedure, the assignment of the connection sources and the reduce-order technique. 1