Force and torque computations with hybrid methods

Koski, Aapo; Forsman, K.; Tarhasaari, T.; Kangas, Jari; Kettunen, Lauri

doi:10.1109/20.767222

Cited by 11 publications

(3 citation statements)

References 6 publications

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“…The circular integration contour is established in the middle of the airgap to minimize numerical error [24]. The following assumptions have been made for the analysis in this paper.…”

Section: Machine Description Force Calculation and Assumptionsmentioning

confidence: 99%

A Multirate Field Construction Technique for Efficient Modeling of the Fields and Forces Within Inverter-Fed Induction Machines

Wu¹,

Pekarek

2010

IEEE Trans. Energy Convers.

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Abstract-In recent research, a field construction technique (FCT) was derived to enable more efficient evaluation of the magnetic fields and forces within induction machines. Using the FCT, the results of two finite-element (FE) solutions are used to establish basis functions for the flux densities in the airgap of the machine. The basis functions are then used to predict the magnetic fields and forces under arbitrary stator excitation. In this paper, a multirate FCT (MRFCT) is proposed to enable efficient FCT modeling of machines that are connected to power electronic converters. Within the MRFCT, the low-and high-frequency components of the stator current are partitioned. The partitioned currents are then used to calculate the flux density and forces at time steps commensurate with the respective low-and high-frequency dynamics. It is shown that applying the MRFCT, the forces and fields of a machine connected to a power electronic circuit can be obtained at a small fraction of the time required for a coupled FE/circuit model.

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“…The circular integration contour is established in the middle of the airgap to minimize numerical error [24]. The following assumptions have been made for the analysis in this paper.…”

Section: Machine Description Force Calculation and Assumptionsmentioning

confidence: 99%

A Multirate Field Construction Technique for Efficient Modeling of the Fields and Forces Within Inverter-Fed Induction Machines

Wu¹,

Pekarek

2010

IEEE Trans. Energy Convers.

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“…All these methods are of general validity and, if properly used, allow the calculations of local densities of energy or force. Some drawbacks of the first two methods are discussed in [1]; the third one, properly developed, seems to be promising in the evaluation of total forces and torque, when adopted in a framework where other equivalent sources are present. In hybrid formulations the use of the equivalence theorem introduces fictitious sources that allows the evaluation of forces and torque acting on the bodies enclosed by the surfaces where the equivalence theorem is applied.…”

Section: Introductionmentioning

confidence: 98%

Force and torque evaluation in hybrid FEM-MOM formulations

Barmada

Musolino²,

Raugi³

et al. 2001

IEEE Trans. Magn.

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A method for the evaluation of forces and torque in static and quasistatic problems solved by adopting hybrid formulations is presented. The examined formulations are based on the use of the equivalence theorem that allows the definition of interior and exterior problems that are coupled by the continuity interface conditions. On the surfaces where the continuity conditions are imposed equivalent sources are present. These equivalent sources produce the same fields and potentials outside the fictitious surfaces as the enclosed body does. Resultant forces and torque acting on the bodies enclosed by each surface are evaluated by using these fictitious sources. Results obtained by the proposed method applied to magnetostatic and eddy current problems are compared in terms of accuracy and CPU time with results obtained by other methods and, where available, by experimental set up.Index Terms-Equivalence theorem, finite elements method, force computation, hybrid formulations, method of moments.

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“…These methods are based on the well-known equivalent sources models, that enable to simulate the contribution to the fields or given by the magnetization of a body in a stationary magnetic field [1]. Among the different kinds of sources, the formulations involving the equivalent magnetizing currents were extensively adopted, especially in linear cases [2]- [5], whereas the applications of the equivalent magnetic charges approach was not deeply tested [4].…”

Section: Introductionmentioning

confidence: 99%

Equivalent sources methods for the numerical evaluation of magnetic force with extension to nonlinear materials

et al. 2000

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In this paper the equivalent sources methods, written in terms both of the actual and of the external field, are used for the computation of the total force in two-dimensional axisymmetric problems. A Finite Element modeling of the magnetizing currents as field sources is presented in order to improve the formulations using the external field. The numerical accuracy of all the proposed formulae is thoroughly checked on linear and nonlinear test examples.

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Force and torque computations with hybrid methods

Cited by 11 publications

References 6 publications

A Multirate Field Construction Technique for Efficient Modeling of the Fields and Forces Within Inverter-Fed Induction Machines

A Multirate Field Construction Technique for Efficient Modeling of the Fields and Forces Within Inverter-Fed Induction Machines

Force and torque evaluation in hybrid FEM-MOM formulations

Equivalent sources methods for the numerical evaluation of magnetic force with extension to nonlinear materials

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