Design tools for electrochemical supercapacitors using local absolute stability theory

In this paper, system properties of a physics-based model of a supercapacitor are computed using a local Lyapunov analysis and the solution of linear matrix inequalities. By considering the model as a Lurie system, bounds are computed for the resistance, capacitance, stored and dissipated energies f...

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Main Authors: Drummond, R, Zhao, S, Duncan, S
Format: Journal article
Published: Institute of Electrical and Electronics Engineers 2018
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author Drummond, R
Zhao, S
Duncan, S
author_facet Drummond, R
Zhao, S
Duncan, S
author_sort Drummond, R
collection OXFORD
description In this paper, system properties of a physics-based model of a supercapacitor are computed using a local Lyapunov analysis and the solution of linear matrix inequalities. By considering the model as a Lurie system, bounds are computed for the resistance, capacitance, stored and dissipated energies for a charging profile, model stability, maximum reachable set with an input current impulse and the maximum voltage such that the potential difference across the double layer never exceeds the electrolyte overpotential. The bounds computed in this paper will aid the designers of supercapacitors, as the effect on the system properties caused by changes to the physical parameters can now be estimated. The theoretical results predicted by the analysis are compared against experimental data.
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spelling oxford-uuid:8bbd2d02-b25a-4026-a2dc-9a276c6a5f142022-03-26T22:39:57ZDesign tools for electrochemical supercapacitors using local absolute stability theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8bbd2d02-b25a-4026-a2dc-9a276c6a5f14Symplectic Elements at OxfordInstitute of Electrical and Electronics Engineers2018Drummond, RZhao, SDuncan, SIn this paper, system properties of a physics-based model of a supercapacitor are computed using a local Lyapunov analysis and the solution of linear matrix inequalities. By considering the model as a Lurie system, bounds are computed for the resistance, capacitance, stored and dissipated energies for a charging profile, model stability, maximum reachable set with an input current impulse and the maximum voltage such that the potential difference across the double layer never exceeds the electrolyte overpotential. The bounds computed in this paper will aid the designers of supercapacitors, as the effect on the system properties caused by changes to the physical parameters can now be estimated. The theoretical results predicted by the analysis are compared against experimental data.
spellingShingle Drummond, R
Zhao, S
Duncan, S
Design tools for electrochemical supercapacitors using local absolute stability theory
title Design tools for electrochemical supercapacitors using local absolute stability theory
title_full Design tools for electrochemical supercapacitors using local absolute stability theory
title_fullStr Design tools for electrochemical supercapacitors using local absolute stability theory
title_full_unstemmed Design tools for electrochemical supercapacitors using local absolute stability theory
title_short Design tools for electrochemical supercapacitors using local absolute stability theory
title_sort design tools for electrochemical supercapacitors using local absolute stability theory
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AT zhaos designtoolsforelectrochemicalsupercapacitorsusinglocalabsolutestabilitytheory
AT duncans designtoolsforelectrochemicalsupercapacitorsusinglocalabsolutestabilitytheory