Fractional-Order Model of Electric Arc Furnace

The paper introduces a fractional-order electric arc furnace (EAF) model. It is based on a power balance equation which, as has been shown, can be represented by a Hammerstein-Wiener model. Such a model includes a block described by a linear integer-order differential equation, in this case the orde...

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Bibliographic Details
Published in:IEEE transactions on power delivery 2023-12, Vol.38 (6), p.1-10
Main Authors: Grabowski, Dariusz, Jakubowska-Ciszek, Agnieszka, Klimas, Maciej
Format: Article
Language:English
Subjects:
Data models
Differential equations
EAF
Electric arc furnace
Electric arc furnaces
Error analysis
Error reduction
Fractional calculus
fractional-order model
Furnaces
Genetic algorithms
Hammerstein-Wiener model
Harmonic analysis
Integers
Mathematical models
Stochastic processes
Waveforms
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Summary:The paper introduces a fractional-order electric arc furnace (EAF) model. It is based on a power balance equation which, as has been shown, can be represented by a Hammerstein-Wiener model. Such a model includes a block described by a linear integer-order differential equation, in this case the order is equal to one, which can be extended to a fractional-order equation. The introduced fractional order is either constant or variable in time. The variable coefficients of the model have been identified by a genetic algorithm The proposed model has been tested using measurement data from two different EAFs and its accuracy has been compared with the classical integer-order model based on the RMS error between the model output and measurement waveforms. The results show that the fractional-order EAF model enables error reduction and consequently reflects more accurately the phenomena taking place in the furnace.
ISSN:0885-8977
1937-4208
DOI:10.1109/TPWRD.2023.3286813