Contribution of Maxwell Stress in Air on the Deformations of Induction Machines

Fonteyn, Katarzyna; Belahcen, Anouar; Rasilo, Paavo; Kouhia, Reijo; Arkkio, Antero

doi:10.5370/jeet.2012.7.3.336

Cited by 8 publications

(5 citation statements)

References 8 publications

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“…x+ + = (10) Generally, the electromagnetic force calculation uses the Lorentz equation, but the electromagnetic force in a region where no current flows in the magnetic field cannot be calculated. Therefore, by using Maxwell stress, it is possible to overcome this disadvantage because the current term is treated as magnetic flux density term.…”

Section: ∫ ∫mentioning

confidence: 99%

“…The concept of virtual displacement in relation to the concept of virtual operations in analytical mechanics is meaningful only when discussing motion-constrained physical systems. In the special case of infinite displacement, the virtual displacement means a minute change in the position coordinates of the system so that the constraint is satisfied [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

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Electromagnetic Force Calculation Method in Finite Element Analysis for Programmers

Kim¹

2019

ujeee

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Background/Objectives: Finite element method has been used widely for structural analysis of electromagnetic systems for a long time. Maxwell stress sensor and principle of virtual work are used to calculate electromagnetic force from finite element analysis results. Methods/Statistical analysis: In this paper, specific methodologies were presented when programming was coded directly without the use of commercial software. Maxwell stress sensor is the amount of tension expressed by the interaction of electromagnetic force with mechanical physical quantity. Findings: When calculating the electromagnetic force, a method of integration was proposed when trying to integrate by selecting the element around the body to obtain the force. Also, the principle of virtual work is to induce electromagnetic force from the derivation of system energy. This method was proposed to differentiate the matrix in the finite element method. Improvements/Applications: We selected a 3-dimensional Axisymmetric model to validate the usefulness of the proposed method of calculation.

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Section: ∫ ∫mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electromagnetic Force Calculation Method in Finite Element Analysis for Programmers

Kim¹

2019

ujeee

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“…The model was applied to the computation of the deformation and vibrations of two induction machines, the parameters of which are given in Table I. The extensive results from the simulations of the two machines as well as a comprehensive analysis of these results are reported by Fonteyn et al (2012). Here we present a comparison between the computed displacements of nodes on the tooth of the machines when the magnetostriction only is accounted for and when the so-called reluctance forces (Maxwell stress) are also accounted for.…”

Section: Incorporation Into Fe Simulationsmentioning

confidence: 99%

Magnetomechanical coupled FE simulations of rotating electrical machines

Belahcen

Fonteyn

Kouhia

et al. 2013

COMPEL

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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.

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“…However, with increasing Zr 4+ content, BZT exhibit relaxor behavior, which can be widely used in fabrication of multilayer ceramic capacitor, electrostrictive actuators, and electromechanical transducers. These results have clearly stimulated studies about optimizing the compositions of 0.98NKN-0.02BZT ceramics in order to further improve the electrical properties [21][22][23][24][25][26][27][28][29]. In this work, a 0.98(Na 0.5 K 0.5 )NbO 3 -0.02Ba(Zr x Ti (1Àx) ) (0.98NKN-0.02BZT) ceramics were fabricated by using conventional ceramics techniques.…”

Section: Introductionmentioning

confidence: 97%

Piezoelectric and dielectric properties of 0.98(Na0.5K0.5)NbO3–0.02Ba(ZrxTi(1−x))O3 ceramics

Lee

2012

Materials Research Bulletin

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Contribution of Maxwell Stress in Air on the Deformations of Induction Machines

Cited by 8 publications

References 8 publications

Electromagnetic Force Calculation Method in Finite Element Analysis for Programmers

Electromagnetic Force Calculation Method in Finite Element Analysis for Programmers

Magnetomechanical coupled FE simulations of rotating electrical machines

Piezoelectric and dielectric properties of 0.98(Na0.5K0.5)NbO3–0.02Ba(ZrxTi(1−x))O3 ceramics

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