## Magnetomechanical coupled FE simulations of rotating electrical machines

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**Magnetomechanical coupled FE simulations of rotating electrical machines.** / Belahcen, Anouar; Fonteyn, Katarzyna; Kouhia, Reijo; Rasilo, Paavo; Arkkio, Antero.

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### Harvard

*COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering*, Vuosikerta. 32, Nro 5, 17095978, Sivut 1484-1499. https://doi.org/10.1108/COMPEL-04-2013-0109

### APA

*COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering*,

*32*(5), 1484-1499. [17095978]. https://doi.org/10.1108/COMPEL-04-2013-0109

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### Bibtex - Lataa

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### RIS (suitable for import to EndNote) - Lataa

TY - JOUR

T1 - Magnetomechanical coupled FE simulations of rotating electrical machines

AU - Belahcen, Anouar

AU - Fonteyn, Katarzyna

AU - Kouhia, Reijo

AU - Rasilo, Paavo

AU - Arkkio, Antero

N1 - Contribution: organisation=ede,FACT1=1<br/>Portfolio EDEND: 2013-10-29<br/>Publisher name: Emerald Group Publishing

PY - 2013

Y1 - 2013

N2 - Purpose - The purpose is to implement and compare different approaches for modelling the magnetostriction phenomenon in iron sheet used in rotating electrical machines. Design/methodology/approach - In the force-based approach, the magnetostriction is modelled as a set of equivalent forces, which produce the same deformation of the material as the magnetostriction strains. These forces among other magnetic forces are computed from the solution of the finite element (FE) field computation and used as loads for the displacement-based mechanical FE analysis. In the strain-based approach, the equivalent magnetostrictive forces are not needed and an energy-based model is used to define magnetomechanically coupled constitutive equations of the material. These equations are then space-discretised and solved with the FE method for the magnetic field and the displacements. Findings - It is found that the equivalent forces method can reproduce the displacements and strains of the structure but it results in erroneous stress states. The energy-based method has the ability to reproduce both the stress and strains correctly; thus enabling the analysis of stress-dependent quantities such as the iron losses and the magnetostriction itself. Research limitations/implications - The investigated methods do not account for hysteresis and other dynamic effects. They also require long computation times. With the available computing resources, the computation time does not present any problem as far as they are not used in everyday design procedures but the modelling of dynamic effect needs to be elaborated. Originality/value - The developed and implemented methods are verified with measurements and simulation experiments and applied to as complex structure as an electrical machine. The problems related to the different approaches are investigated and explained through simulations. © Emerald Group Publishing Limited.

AB - Purpose - The purpose is to implement and compare different approaches for modelling the magnetostriction phenomenon in iron sheet used in rotating electrical machines. Design/methodology/approach - In the force-based approach, the magnetostriction is modelled as a set of equivalent forces, which produce the same deformation of the material as the magnetostriction strains. These forces among other magnetic forces are computed from the solution of the finite element (FE) field computation and used as loads for the displacement-based mechanical FE analysis. In the strain-based approach, the equivalent magnetostrictive forces are not needed and an energy-based model is used to define magnetomechanically coupled constitutive equations of the material. These equations are then space-discretised and solved with the FE method for the magnetic field and the displacements. Findings - It is found that the equivalent forces method can reproduce the displacements and strains of the structure but it results in erroneous stress states. The energy-based method has the ability to reproduce both the stress and strains correctly; thus enabling the analysis of stress-dependent quantities such as the iron losses and the magnetostriction itself. Research limitations/implications - The investigated methods do not account for hysteresis and other dynamic effects. They also require long computation times. With the available computing resources, the computation time does not present any problem as far as they are not used in everyday design procedures but the modelling of dynamic effect needs to be elaborated. Originality/value - The developed and implemented methods are verified with measurements and simulation experiments and applied to as complex structure as an electrical machine. The problems related to the different approaches are investigated and explained through simulations. © Emerald Group Publishing Limited.

KW - Coupled systems

KW - Electrical equipment

KW - Finite element simulation

KW - Iron

KW - Iron losses

KW - Magnetoelasticity

KW - Stress

KW - Stress analysis

UR - http://www.scopus.com/inward/record.url?scp=84884134763&partnerID=8YFLogxK

U2 - 10.1108/COMPEL-04-2013-0109

DO - 10.1108/COMPEL-04-2013-0109

M3 - Article

VL - 32

SP - 1484

EP - 1499

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 - 5

M1 - 17095978

ER -