Introduction to Nonlinear Circuits and Networks

Muthuswamy, Bharathwaj; Banerjee, Santo

doi:10.1007/978-3-319-67325-7

Cited by 13 publications

(10 citation statements)

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“…Starting from the Muthuswamy-Chua circuit 13 , we designed a circuit (system) consisting of a linear passive capacitor of capacitance C, a linear passive inductor of inductance L, a nonlinear resistor N R and a thermistor, that is, a nonlinear "locally active" memristor M. A schematic is shown in Fig 1. By Kirchhoff 's laws, we have:…”

Section: Circuit Setupmentioning

confidence: 99%

“…Following Balthasar Van de Pol 14 , we model the nonlinear resistor as a cubic function of the current, that is, f (i) = ai + bi 3 where a and b are constants. The thermistor characteristics (the curve representing the resistance R as a function of the temperature T) is modeled using the classical Steinhart-Hart equation Banerjee for a proof of this theorem 13 ).…”

Section: Circuit Setupmentioning

confidence: 99%

“…The Muthuswamy-Chua-Ginoux (MCG) circuit is a generalization of the (b) Muthuswamy-Chua circuit, because a "nonlinear resistor in series with a memristor is a memristor" (see Muthuswamy and Banerjee for a proof of this theorem 13 ).…”

Section: Circuit Setupmentioning

confidence: 99%

“…However, memristive models for ReRAM devices such as the HP memristor is still the subject of research 12 . In contrast, the memristive model for thermistors is well established and the device can be bought as an off-the-shelf component with a variety of parameter options 13 .…”

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confidence: 99%

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A physical memristor based Muthuswamy–Chua–Ginoux system

Ginoux

Muthuswamy

Meucci

et al. 2020

Sci Rep

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In 1976, Leon Chua showed that a thermistor can be modeled as a memristive device. Starting from this statement we designed a circuit that has four circuit elements: a linear passive inductor, a linear passive capacitor, a nonlinear resistor and a thermistor, that is, a nonlinear “locally active” memristor. Thus, the purpose of this work was to use a physical memristor, the thermistor, in a Muthuswamy–Chua chaotic system (circuit) instead of memristor emulators. Such circuit has been modeled by a new three-dimensional autonomous dynamical system exhibiting very particular properties such as the transition from torus breakdown to chaos. Then, mathematical analysis and detailed numerical investigations have enabled to establish that such a transition corresponds to the so-called route to Shilnikov spiral chaos but gives rise to a “double spiral attractor”.

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Section: Circuit Setupmentioning

confidence: 99%

Section: Circuit Setupmentioning

confidence: 99%

Section: Circuit Setupmentioning

confidence: 99%

mentioning

confidence: 99%

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A physical memristor based Muthuswamy–Chua–Ginoux system

Ginoux

Muthuswamy

Meucci

et al. 2020

Sci Rep

Self Cite

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“…where C bulk is defined as differential or small signal capacitance and depends on V ocv and thus is modeled by a voltage-controlled capacitor [44][45][46][47][48]. It can be extracted from the SoC-V ocv curve of each chemistry (Figure 6b,c) as in (7).…”

Section: Battery Modelmentioning

confidence: 99%

Partial State-of-Charge Mitigation in Standalone Photovoltaic Hybrid Storage Systems

et al. 2019

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Energy Storage in photovoltaic installations has increased in popularity in recent years due to the improvement in solar panel technology and energy storage systems. In several places where the grid is not available, in remote isolated rural locations or developing countries, isolated photovoltaic installations are one of the main options to power DC micro-grids. In these scenarios, energy storage elements are mandatory due to the natural day-night cycles and low irradiation periods. Traditionally, lead-acid batteries have been responsible for this task, due to their availability and low cost. However, the intermittent features of the solar irradiance patterns and load demand, generate multiple shallow charge–discharge cycles or high power pulses, which worsen the performance of these batteries. Some Hybrid Energy Storage Systems (HESSs) have been reported in the literature to enhance the lifetime and power capabilities of these storage elements, but they are not intended to overcome the Partial State of Charge (PSoC) issue caused by daily cycles, which has an effect on the short and mid-term performance of the system. This paper studies the impact of the already proposed HESSs on PSoC operation, establishing the optimal hybrid ratios, and implementing them in a real installation with a satisfactory outcome.

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A Numerical Method for Solving the Equations of Hydraulics and of Nonlinear Electric DC Circuits

Сабденов

2021

J Eng Phys Thermophy

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Introduction to Nonlinear Circuits and Networks

Cited by 13 publications

References 0 publications

A physical memristor based Muthuswamy–Chua–Ginoux system

A physical memristor based Muthuswamy–Chua–Ginoux system

Partial State-of-Charge Mitigation in Standalone Photovoltaic Hybrid Storage Systems

A Numerical Method for Solving the Equations of Hydraulics and of Nonlinear Electric DC Circuits

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