FitFractionalOrderModel

Fractional order model for fitting parameters from frequency-based electrochemical impedance spectroscopy data

Since R2025a

Description

Use FitFractionalOrderModel to create a fit fractional order model (FOM) object. Use this object to fit battery FOM parameters from electrochemical impedance spectroscopy (EIS) data.

This object helps you estimating parameters from a single EIS data set or a sequence of several EIS experiments. To use the methods in this object, you must provide real and imaginary impedance data over different frequencies.

Note

To perform parameter estimation for a battery EISModel object from EIS data, use the fitEISModel function instead.

Creation

Description

Note

To use this object, at the MATLAB^® Command Window, run this command at least once each MATLAB session:

import simscape.battery.parameters.*; 

All properties are exposed as name-value arguments in this object.

fitFom = FitFractionalOrderModel creates a FitFractionalOrderModel object with default property values.

fitFom = FitFractionalOrderModel(PropertyName=Value) creates a FitFractionalOrderModel object and sets Properties using one or more name-value arguments.

Properties

EISFOM — Fractional-order equivalent circuit model

EISModel object (default)

Fractional-order equivalent circuit model used to fit the EIS data, specified as an EISModel object.

InitialParameterEstimate — Initial parameter values of fractional-order equivalent circuit model used in first optimization iteration

[0.0250 1.0000e-06 0.0035 0.8000 1 0.0350 0.8000 10 0.8000 100] (default) | vector of positive elements

Initial parameter values of the fractional-order equivalent circuit model used in the first iteration of the optimization, specified as a vector of positive elements.

Data Types: double

LowerParameterBounds — Lower parameter bounds of fractional-order equivalent circuit parameters

[0 0 0 0 0 0 0 0 0 0] (default) | vector of nonnegative elements

Lower parameter bounds of the fractional-order equivalent circuit parameters used in the optimization, specified as a vector of nonnegative elements.

Data Types: double

UpperParameterBounds — Upper parameter bounds of fractional-order equivalent circuit parameters

[2500 0.1000 350 1 100000 3.5000e+03 1 1000000 1 10000000] (default) | vector of nonnegative elements

Upper parameter bounds of the fractional-order equivalent circuit parameters used in the optimization, specified as a vector of nonnegative elements.

Data Types: double

ValidFrequencyRange — Lower and upper cut-off frequency values

[1.0000e-06 1000] (default) | vector of two positive elements

Lower and upper cut-off values used to filter the frequency-based impedance data, specified as a vector of two positive elements.

Data Types: double

IgnoreInductiveBehavior — Option to remove all high-frequency data points that display inductive behavior

false or 0 (default) | true or 1

Option to remove all high-frequency data points that display inductive behavior, specified as "false", "true", or as numeric or logical 1 (true) or 0 (false).

Data Types: logical

IgnoreIndices — Indices to remove from frequency-based impedance data

[] (default) | positive scalar | vector of positive elements

Indices to remove from the frequency-based impedance data, specified as a scalar or vector.

Data Types: double

OptimizationWeights — Optimization weighting factors in frequency-based impedance data

[] (default) | scalar | vector

Optimization weighting factors applied to every point in the frequency-based impedance data, specified as a column vector with the same length as the impedance data.

Data Types: double

OptimizationOptions — Optimization options that optimization or fitting method uses

empty structure (default) | structure | options object

Optimization options that the optimization or fitting method uses, specified as a structure or an options object. For more information about options object, see Set Optimization Options.

Data Types: struct

FittingMethod — Fitting method used to find EISModel parameters that best fit frequency-based impedance data

"fminsearch" (default) | "fmincon" | "lsqnonlin" | "patternsearch"

Optimization or fitting method used to find the parameters of the EISModel object that best fit the frequency-based impedance data, specified as "fminsearch", "fmincon", "lsqnonlin", or "patternsearch".

Data Types: char | string

ImaginaryImpedanceSign — Sign convention for imaginary impedance

"standard" (default) | "reversed"

Sign convention for the imaginary impedance relative to the high-frequency inductive behavior, specified as "standard" or "reversed". The default convention treats the high-frequency inductive behavior as positive.

Data Types: string | char

InitializationStrategy — Whether to initialize each optimization sequentially or reuse initial estimates

"reuseInitialEstimates" (default) | "sequential"

Whether to initialize each optimization sequentially or reuse the initial estimates, specified as "sequential" or "reuseInitialEstimates". For sequential initialization, the FitFractionalOrderModel object uses the output values from the first optimization for the next iteration.

Data Types: string | char

Object Functions

fiteisfom	Fit single electrochemical impedance spectroscopy profile
fitEisfomToEisTest	Fit series of electrochemical impedance spectroscopy profiles

Version History

Introduced in R2025a