An approximation for the input conductivity function of the non-linear resistive grid

The 2-term approximations for the input conductivity functions, i(in) = f(in)(v(in)), of a grid of similar weakly non-linear (parabolic) conductors, and the grid's symmetric cuts, measured between two close nodes, are derived, using a semi-empirical method; the results of a relevant PSpice simulation are presented. The functions f(in)(v(in)) of the grid's symmetric cuts possess a common analytical feature. Simulation results show that the error in the calculation of the non-linear terms in the input functions is less than 1 per cent. Copyright (C) 2001 John Wiley & Sons, Ltd.