Diode-resistance circuit – Novel exact and approximate solutions based on the g-function approach

Abstract

This paper presents a novel method for solving the diode-resistance (D-R) circuit problem via the g-function and Halley’s iterative procedure. First, an original solution for current and voltage in the D-R circuit is developed, providing an analytical framework that offers high accuracy. Second, an approximate solution is proposed for the D-R circuit’s current and voltages through the iterative approach, significantly improving the computational efficiency compared with existing methods. Third, the results are compared with those of MATLAB/SIMSCAPE simulations and four approximate solutions from the literature, revealing superior accuracy and reliability. The findings demonstrate the exceptional precision and efficiency of the proposed methods, offering substantial advantages over previous approaches. Fourth, the experimental results validate all the conclusions drawn from the simulation studies, confirming the practicality and robustness of the proposed solutions. This work highlights the real-world applicability of the proposed methods in circuit design and simulation, particularly when the D-R branch is involved.