A new scalar potential formulation for 3-D magnetostatics necessitating no source field calculation

Kladas, Antonios G.; Tegopoulos, J.A.

doi:10.1109/20.123875

Cited by 46 publications

(24 citation statements)

References 6 publications

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“…The current sources are accounted for by the use of a term in the definition of the scalar potential [19]: (15) The finite-element formulation is expressed in terms of magnetic scalar potential and not with the magnetic vector potential so as to use directly the MSM model presented in Fig. 5.…”

Section: Finite-element Formulationmentioning

confidence: 99%

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Effect of Stress on Switched Reluctance Motors: A Magneto-Elastic Finite-Element Approach Based on Multiscale Constitutive Laws

et al. 2011

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The design of electromagnetic devices submitted to high mechanical stress is a growing issue and requires consequently appropriate modeling tools. We propose in this paper to implement a multiscale model for magneto-elastic behavior into a finite-element code. The 2-D magneto-elastic constitutive law is derived from a multiscale model based on a local energetic approach. The method is applied to study the effect of stress on the magnetic behavior of a switched reluctance motor. This work provides a finite-element tool for the modeling of the effect of multiaxial stress on electrotechnical devices.Index Terms-Effect of stress, electrical machines, finite-element method, magneto-elasticity, multiscale modeling.

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Section: Finite-element Formulationmentioning

confidence: 99%

“…Thus, the coupling term in the magnetic formulation is finally (19) with the gradient of the shape functions. The coupled system is then defined by (20) with and respectively the magnetic and mechanical stiffness matrices, the displacement field, and the external forces.…”

Section: Finite-element Formulationmentioning

confidence: 99%

Effect of Stress on Switched Reluctance Motors: A Magneto-Elastic Finite-Element Approach Based on Multiscale Constitutive Laws

et al. 2011

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“…According to our method the magnetic field strength is 0018-9464/04$20.00 © 2004 IEEE conveniently partitioned to a rotational and an irrotational part as follows: (2) where is a scalar potential extended all over the solution domain while is a vector quantity (fictitious field distribution), that satisfies the following conditions [12]: 1) is limited in a simply connected subdomain comprising the conductor; 2)…”

Section: A Finite-element Methods (Fem)mentioning

confidence: 99%

Hybrid Numerical Techniques for Power Transformer Modeling: A Comparative Analysis Validated by Measurements

Tsili

Kladas

Georgilakis³

et al. 2004

IEEE Trans. Magn.

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Abstract-The paper presents alternative numerical techniques implemented in power transformer analysis and design focusing on the short circuit impedance evaluation. The proposed method adopts a particular reduced scalar potential formulation enabling a three-dimensional (3-D) magnetostatic problem solution. This method, requiring no source field calculation, in conjunction with a mixed finite-element/boundary-element technique, results in a very efficient 3-D numerical model for power transformer design office use. This model is used to develop an effective computational tool, enabling the accurate transformer characteristics prediction, thus increasing its reliability and reducing its production cost. The computed results of the proposed methodology are validated through measurements in the case of a three-phase wound core power transformer.

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“…A scalar potential formulation, necessitating no prior source field calculation [9] is used for the derivation of the magnetic scalar potential in the mesh nodes. 2) The area between the active part and the tank walls (BEM region), represented by a triangular mesh of its boundaries.…”

Section: Transformer Modeling With Mixed Fem-bemmentioning

confidence: 99%

Geometry optimization of magnetic shunts in power transformers based on a particular hybrid finite-element boundary-element model and sensitivity analysis

et al. 2005

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In this paper, the influence of magnetic shunt geometry on the transformer leakage field and short-circuit impedance is examined. The magnetic-field computation is conducted with the use of a particular hybrid finite-element method (FEM) boundary-element method (BEM) formulation, facilitating the parametric investigation of magnetic shunt effects through application of appropriate boundary conditions. A design sensitivity analysis for the optimization of the shunt geometry ensuring a desired change in short-circuit impedance and shunt losses has also been developed, in conjunction with the magnetic-field model. Index Terms-Design optimization, finite-element (FEM) boundary-element (BEM) hybrid methods, sensitivity analysis, transformers.

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A new scalar potential formulation for 3-D magnetostatics necessitating no source field calculation

Cited by 46 publications

References 6 publications

Effect of Stress on Switched Reluctance Motors: A Magneto-Elastic Finite-Element Approach Based on Multiscale Constitutive Laws

Effect of Stress on Switched Reluctance Motors: A Magneto-Elastic Finite-Element Approach Based on Multiscale Constitutive Laws

Hybrid Numerical Techniques for Power Transformer Modeling: A Comparative Analysis Validated by Measurements

Geometry optimization of magnetic shunts in power transformers based on a particular hybrid finite-element boundary-element model and sensitivity analysis

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