An efficient interval method for global analysis of non-linear resistive circuits
Lubomir V. Kolev · International Journal of Circuit Theory and Applications · 1998
A new method for finding the set of all operating points of non-linear resistive circuits is suggested. It takes into account the fact that the circuit equations are in the so-called separable form where any equation fi(x) is the sum of terms fij(xj), each term depending on a single variable. The method is based on the introduction of an approximation of every real non-linear function fij(xj) by an appropriate linear interval function, i.e. by a real linear function having an additive interval term. The parameters of the linear interval approximations are dynamically updated at each iteration of the computational process. Numerical experiments show that the computational efficiency of the new method is vastly superior to that of other known methods for global analysis, especially for circuits of large size. © 1998 John Wiley & Sons, Ltd.