Calculations and hypotheses relating to the input conductivity function of an infinite grid of similar nonlinear resistors
Emanuel Gluskin · International Journal of Systems Science · 2001
A formula for the input conductivity characteristic of an infinite grid of similar, weakly nonlinear resistors (conductors) measured between two nodes is obtained using a specific approximate representation of the grid. This formula is more precise than the corresponding formula given earlier by Gluskin. Some hypotheses concerning the analytical features of the input resistive (conductive) function, not necessarily associated with weak nonlinearity, and also related to circuits of other topologies, are considered. One of the hypotheses leads to a simplified method of calculation of the input conductivity, which has a reasonable engineering precision and may replace incomparably more difficult calculations. The derivations are given in detail.