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Research Papers

A New Observer Design for Aging Detection of Supercapacitors

[+] Author and Article Information
E. Magarotto

UNICAEN, ENSICAEN, LAC,
NORMANDIE UNIV,
Caen 14000, France
e-mail: eric.magarotto@unicaen.fr

J.-F. Massieu

UNICAEN, ENSICAEN, LAC,
Normandie University,
Caen 14000, France
e-mail: jean-francois.massieu@unicaen.fr

P. Dorléans

UNICAEN, ENSICAEN, LAC,
Normandie University,
Caen 14000, France
e-mail: philippe.dorleans@unicaen.fr

A. Oukaour

UNICAEN, LUSAC,
Normandie University,
Cherbourg 50130, France
e-mail: amrane.oukaour@unicaen.fr

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received December 22, 2017; final manuscript received October 19, 2018; published online December 6, 2018. Assoc. Editor: Ardalan Vahidi.

J. Dyn. Sys., Meas., Control 141(4), 041004 (Dec 06, 2018) (7 pages) Paper No: DS-17-1628; doi: 10.1115/1.4041812 History: Received December 22, 2017; Revised October 19, 2018

In this paper, a new aging detection method of a supercapacitor is proposed through the study of the charge process. Good indicators to describe this aging are equivalent series resistance (ESR) and capacitance evolution, which are online unmeasurable parameters of the component model. The proposed model belongs to the class of state and parameter affine nonlinear system. A new adaptive nonlinear observer is designed to estimate, under different aging phases, both states and parameters using measurements only available at each sampling instant. This unusual observer contains an adaptive gain, an unknown parameter into the measured output equation, and the control signal into state matrix. This discrete-continuous observer is proved to be globally exponentially convergent under some sufficient conditions. Theoretical results are implemented for two cases of study, the first one through some simulations and the second one applied on real data for different sampling times and different values of observer gain. Results highlight good performances of the observer in online parameter estimation; thus, the component aging is clearly shown.

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References

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Figures

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Fig. 1

Equivalent circuit

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Fig. 2

Current i(t) profile

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Fig. 3

Simulation results, RSC for different values of sampling time Te and K

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Fig. 4

Simulation results, CSC versus bias voltage for a sampling time Te = 1 × 10−4 s and K = 10

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Fig. 5

Simulation results, CSC linear interpolation for different values of sampling time Te and K

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Fig. 6

Supercapacitor characterization in aging protocol

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Fig. 7

Experimental results, RSC for different values of sampling time Te and K

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Fig. 8

Experimental results, CSC for different values of sampling time Te and K

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Fig. 9

Experimental results, effect of aging on the estimation of RSC (with Te = 1 × 10−4 s and K = 20)

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Fig. 10

Experimental results, effect of aging on the estimation of CSC (with Te = 1 × 10−4 s and K = 20)

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