On the accuracy of a smooth mathematical model for electric circuits with diode current converters

Abstract

The mathematical model of electric circuits with diode current converters is a system with diode nonlinearity represented as a system of ordinary differential equations with a discontinuous right-hand side that has a special form. In this work, we construct and study a similar system with continuous right-hand side and large parameter K; we prove a theorem that states that solutions of the corresponding initial problems of order

\(1/\sqrt K \)

are close.