Modelling eddy-current in laminated non-linear magnetic circuits

Anouar Belahcen, Emad Dlala, Jenni Pippuri

    Research output: Contribution to journalArticleScientificpeer-review

    5 Citations (Scopus)

    Abstract

    Purpose
    – The purpose of this paper is to implement and test a 1D eddy‐current model for laminated iron core of electrical machines and investigate the possibility of incorporating it in a 2D FE analysis.

    Design/methodology/approach
    – The 1D eddy‐current model of laminated core is extended to handle rotating‐field problems and coupling between the x‐ and y‐components of the magnetic field. Explicit coupling terms are introduced in the Jacobean matrix to ensure convergence and time efficiency. The procedure is computationally tested for both the case where there is no feedback to the 2D FE and the case where the results of the eddy‐current model were fed‐back to the 2D analysis.

    Findings
    – The coupling terms ensured fast and robust convergence. The incorporation of the eddy‐current model in the 2D FE analysis is possible, provided some under‐relaxation is used to ensure the convergence of the overall 1D‐2D procedure.

    Research limitations/implications
    – The method has been computationally tested with 2D like procedure corresponding to a 2D model with only one element. The behaviour of the model in actual 2D computation presents some problems related to the convergence of the overall procedure and they have been dealt with in another publication.

    Originality/value
    – The paper is of practical value for designers of electrical machines. On one hand, the model can be used a posteriori to estimate eddy‐current losses in iron stacks, and on the other hand it can be incorporated into 2D FE analysis including the losses in the field solution and enhancing its power and energy balance.
    Original languageEnglish
    Pages (from-to)1082-1091
    Number of pages10
    JournalCOMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
    Volume30
    Issue number3
    DOIs
    Publication statusPublished - 2011
    MoE publication typeA1 Journal article-refereed

    Fingerprint

    Magnetic circuits
    Eddy Currents
    Eddy currents
    Modeling
    Electrical Machines
    Iron
    Model
    Energy Balance
    Term
    Energy balance
    Design Methodology
    Magnetic Field
    Magnetic fields
    Feedback
    Estimate

    Keywords

    • Eddy currents
    • electrical machines
    • steel
    • loss
    • losses
    • energy loss
    • power loss

    Cite this

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    title = "Modelling eddy-current in laminated non-linear magnetic circuits",
    abstract = "Purpose– The purpose of this paper is to implement and test a 1D eddy‐current model for laminated iron core of electrical machines and investigate the possibility of incorporating it in a 2D FE analysis.Design/methodology/approach– The 1D eddy‐current model of laminated core is extended to handle rotating‐field problems and coupling between the x‐ and y‐components of the magnetic field. Explicit coupling terms are introduced in the Jacobean matrix to ensure convergence and time efficiency. The procedure is computationally tested for both the case where there is no feedback to the 2D FE and the case where the results of the eddy‐current model were fed‐back to the 2D analysis.Findings– The coupling terms ensured fast and robust convergence. The incorporation of the eddy‐current model in the 2D FE analysis is possible, provided some under‐relaxation is used to ensure the convergence of the overall 1D‐2D procedure.Research limitations/implications– The method has been computationally tested with 2D like procedure corresponding to a 2D model with only one element. The behaviour of the model in actual 2D computation presents some problems related to the convergence of the overall procedure and they have been dealt with in another publication.Originality/value– The paper is of practical value for designers of electrical machines. On one hand, the model can be used a posteriori to estimate eddy‐current losses in iron stacks, and on the other hand it can be incorporated into 2D FE analysis including the losses in the field solution and enhancing its power and energy balance.",
    keywords = "Eddy currents, electrical machines, steel, loss, losses, energy loss, power loss",
    author = "Anouar Belahcen and Emad Dlala and Jenni Pippuri",
    year = "2011",
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    language = "English",
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    pages = "1082--1091",
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    Modelling eddy-current in laminated non-linear magnetic circuits. / Belahcen, Anouar; Dlala, Emad; Pippuri, Jenni.

    In: COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 30, No. 3, 2011, p. 1082-1091.

    Research output: Contribution to journalArticleScientificpeer-review

    TY - JOUR

    T1 - Modelling eddy-current in laminated non-linear magnetic circuits

    AU - Belahcen, Anouar

    AU - Dlala, Emad

    AU - Pippuri, Jenni

    PY - 2011

    Y1 - 2011

    N2 - Purpose– The purpose of this paper is to implement and test a 1D eddy‐current model for laminated iron core of electrical machines and investigate the possibility of incorporating it in a 2D FE analysis.Design/methodology/approach– The 1D eddy‐current model of laminated core is extended to handle rotating‐field problems and coupling between the x‐ and y‐components of the magnetic field. Explicit coupling terms are introduced in the Jacobean matrix to ensure convergence and time efficiency. The procedure is computationally tested for both the case where there is no feedback to the 2D FE and the case where the results of the eddy‐current model were fed‐back to the 2D analysis.Findings– The coupling terms ensured fast and robust convergence. The incorporation of the eddy‐current model in the 2D FE analysis is possible, provided some under‐relaxation is used to ensure the convergence of the overall 1D‐2D procedure.Research limitations/implications– The method has been computationally tested with 2D like procedure corresponding to a 2D model with only one element. The behaviour of the model in actual 2D computation presents some problems related to the convergence of the overall procedure and they have been dealt with in another publication.Originality/value– The paper is of practical value for designers of electrical machines. On one hand, the model can be used a posteriori to estimate eddy‐current losses in iron stacks, and on the other hand it can be incorporated into 2D FE analysis including the losses in the field solution and enhancing its power and energy balance.

    AB - Purpose– The purpose of this paper is to implement and test a 1D eddy‐current model for laminated iron core of electrical machines and investigate the possibility of incorporating it in a 2D FE analysis.Design/methodology/approach– The 1D eddy‐current model of laminated core is extended to handle rotating‐field problems and coupling between the x‐ and y‐components of the magnetic field. Explicit coupling terms are introduced in the Jacobean matrix to ensure convergence and time efficiency. The procedure is computationally tested for both the case where there is no feedback to the 2D FE and the case where the results of the eddy‐current model were fed‐back to the 2D analysis.Findings– The coupling terms ensured fast and robust convergence. The incorporation of the eddy‐current model in the 2D FE analysis is possible, provided some under‐relaxation is used to ensure the convergence of the overall 1D‐2D procedure.Research limitations/implications– The method has been computationally tested with 2D like procedure corresponding to a 2D model with only one element. The behaviour of the model in actual 2D computation presents some problems related to the convergence of the overall procedure and they have been dealt with in another publication.Originality/value– The paper is of practical value for designers of electrical machines. On one hand, the model can be used a posteriori to estimate eddy‐current losses in iron stacks, and on the other hand it can be incorporated into 2D FE analysis including the losses in the field solution and enhancing its power and energy balance.

    KW - Eddy currents

    KW - electrical machines

    KW - steel

    KW - loss

    KW - losses

    KW - energy loss

    KW - power loss

    U2 - 10.1108/03321641111111013

    DO - 10.1108/03321641111111013

    M3 - Article

    VL - 30

    SP - 1082

    EP - 1091

    JO - COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

    JF - COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

    SN - 0332-1649

    IS - 3

    ER -