A study of equivalent electrical circuit fitting to electrochemical impedance using a stochastic method
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- @Article{Abud-Kappel:2017:ASC,
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author = "Marco Andre {Abud Kappel} and
Fernando Cunha Peixoto and Gustavo Mendes Platt and
Roberto Pinheiro Domingos and Ivan Napoleao Bastos",
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title = "A study of equivalent electrical circuit fitting to
electrochemical impedance using a stochastic method",
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journal = "Applied Soft Computing",
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year = "2017",
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volume = "50",
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pages = "183--193",
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month = jan,
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keywords = "genetic algorithms, genetic programming, Differential
evolution, Electrochemical impedance, Optimization,
Stochastic method, Statistical analysis",
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ISSN = "1568-4946",
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URL = "https://www.sciencedirect.com/science/article/pii/S1568494616305993",
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DOI = "doi:10.1016/j.asoc.2016.11.030",
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size = "11 pages",
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abstract = "Modeling electrochemical impedance spectroscopy is
usually done using equivalent electrical circuits.
These circuits have parameters that need to be
estimated properly in order to make possible the
simulation of impedance data. Despite the fitting
procedure is an optimization problem solved recurrently
in the literature, rarely statistical significance of
the estimated parameters is evaluated. In this work,
the optimization process for the equivalent electrical
circuit fitting to the impedance data is detailed.
First, a mathematical development regarding the
minimization of residual least squares is presented in
order to obtain a statistically valid objective
function of the complex nonlinear regression problem.
Then, the optimization method used in this work is
presented, the Differential Evolution, a global search
stochastic method. Furthermore, it is shown how a
population-based stochastic method like this can be
used directly to obtain confidence regions to the
estimated parameters. A sensitivity analysis was also
conducted. Finally, the equivalent circuit fitting is
done to model synthetic experimental data, in order to
demonstrate the adopted procedure.",
- }
Genetic Programming entries for
Marco Andre Abud Kappel
Fernando Cunha Peixoto
Gustavo Mendes Platt
Roberto Pinheiro Domingos
Ivan Napoleao Bastos
Citations