A Nonlinear Least Squares Fit procedure for analysis of immittance data of electrochemical systems

Bernard A. Boukamp

doi:10.1016/0167-2738(86)90031-7

A Nonlinear Least Squares Fit procedure for analysis of immittance data of electrochemical systems

Bernard A. Boukamp

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Abstract

A Nonlinear Least Squares Fit (NLLSF) program is described, with which frequency dispersion data of electrochemical systems can be analyzed in terms of an equivalent circuit. The NLLSF procedure uses a combination of an analytical and gradient search according to the Marquardt algorithm. Through the use of an unique Circuit Description Code (CDC) different equivalent circuits may be used with the program. The use of an analytical derivatives routine enhances the execution speed. The power of such a fit procedure is demonstrated in multi parameter fits, on synthetic and real data, performed by the program “EQIVCT”.

Original language	Undefined
Pages (from-to)	31-44
Journal	Solid state ionics
Volume	20
Issue number	1
DOIs	https://doi.org/10.1016/0167-2738(86)90031-7
Publication status	Published - 1986

Keywords

IR-69721

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10.1016/0167-2738(86)90031-7

Boukamp86nonlinear

Cite this

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title = "A Nonlinear Least Squares Fit procedure for analysis of immittance data of electrochemical systems",

abstract = "A Nonlinear Least Squares Fit (NLLSF) program is described, with which frequency dispersion data of electrochemical systems can be analyzed in terms of an equivalent circuit. The NLLSF procedure uses a combination of an analytical and gradient search according to the Marquardt algorithm. Through the use of an unique Circuit Description Code (CDC) different equivalent circuits may be used with the program. The use of an analytical derivatives routine enhances the execution speed. The power of such a fit procedure is demonstrated in multi parameter fits, on synthetic and real data, performed by the program “EQIVCT”.",

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AB - A Nonlinear Least Squares Fit (NLLSF) program is described, with which frequency dispersion data of electrochemical systems can be analyzed in terms of an equivalent circuit. The NLLSF procedure uses a combination of an analytical and gradient search according to the Marquardt algorithm. Through the use of an unique Circuit Description Code (CDC) different equivalent circuits may be used with the program. The use of an analytical derivatives routine enhances the execution speed. The power of such a fit procedure is demonstrated in multi parameter fits, on synthetic and real data, performed by the program “EQIVCT”.

KW - IR-69721

U2 - 10.1016/0167-2738(86)90031-7

DO - 10.1016/0167-2738(86)90031-7

M3 - Article

SN - 0167-2738

VL - 20

SP - 31

EP - 44

JO - Solid state ionics

JF - Solid state ionics

IS - 1

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