Observation of a Pinched-Loop in a Current-Excited Inductive Circuit

TL;DR

This paper demonstrates that a pinched-loop appears in the voltage-current characteristics of a current-excited R-L circuit with variable resistance, challenging the notion that it is exclusive to memristive systems, supported by simulations and experiments.

Contribution

It shows that pinched-loops are observable in nonlinear circuits beyond memristors, specifically in a variable resistance R-L circuit under current excitation.

Findings

Pinched-loop observed in voltage-current plane of the circuit.

The phenomenon is not exclusive to memristive systems.

Experimental and simulation results confirm the theory.

Abstract

In this work, we show that a pinched-loop can be observed in the voltage-current plane when a series R-L circuit is current excited. Specifically, the resistance (R) in this circuit is variable and is voltage-controlled by the voltage developed across the inductor due to the exciting current. In this context, we confirm our previous results that the pinched-loop is not a characteristic of memrsitors or memrsitive systems and that it can be observed in many other nonlinear systems. Numerical simulations, circuit simulations and experimental results validate the theory.