Analysis of RLD Circuit by means of Phase Space with a non-ideal diode model

TL;DR

This paper analyzes the chaotic dynamics of an RLD circuit using phase space methods with a non-ideal diode model, demonstrating complex behaviors like period doubling and chaos through numerical simulation and experimental validation.

Contribution

It introduces a detailed phase space analysis of the RLD circuit incorporating a non-ideal diode model, highlighting chaotic behavior and validating results with experiments.

Findings

Chaotic behavior observed in the RLD circuit

Lyapunov exponent confirms chaos

Simulation aligns with experimental data

Abstract

In this work the non-linear and chaotic behaviour for the RLD circuit is analysed, which is modelled by state space and numerically simulated considering the diode model an association between nonlinear resistances and capacitances. It has been possible to characterize the dynamics of the circuit through period doubles and chaotic behaviour. The Lyapunov exponent is calculated to show the chaotic behaviour of this circuit. Simulated results are in good agreement with experimental data.