Field and field-circuit description of electrical machines

Demenko, Andrzej; Hameyer, Kay

doi:10.1109/epepemc.2008.4635625

Cited by 5 publications

(6 citation statements)

References 29 publications

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“…The boundary e C of the domain e  is discretized with boundary elements. (12) For each element, we have two determine: the potential  and the magnetic flux  flowing through the element. To discriminate exact solution and numerical approximation, we will use the following notation:…”

Section: B Discretization Of E C and Matrix Systemmentioning

confidence: 99%

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A hybrid method BEM-NRM for magnetostatics problems

Araujo

Coulomb

Delinchant

et al. 2013

J. Microw. Optoelectron. Electromagn. Appl.

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This article proposes a new method to solve non-linear magnetostatic problems applied to the modeling of electromagnetic devices. A reduced scalar potential formulation is presented and solved by a hybrid BEM-NRM. It has been implemented and tested in a software called MaGot. We will show that the computation time of this new method is very low. Thus, it could be easily and efficiently used for the pre-sizing of actuators.

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Section: B Discretization Of E C and Matrix Systemmentioning

confidence: 99%

“…Each brick k contain T flux tubes connecting the central potential to the potentials of facets. kt q is the flow through the facet t of the brick k , so the following relation can be written [12]:…”

Section: B Developmentmentioning

confidence: 99%

A hybrid method BEM-NRM for magnetostatics problems

Araujo

Coulomb

Delinchant

et al. 2013

J. Microw. Optoelectron. Electromagn. Appl.

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“…The main problem in successful implementation of the above equation is necessity of evaluation of dynamic inductance matrix which incorporates one nonlinear and N linear field solutions with "frozen reluctance value". This process in extremely time-consuming [15,30]. In equations ( 14) another differentiation with respect to angle is necessary, which can be very demanding when effects related to slotting are accounted for (like slot reluctance or cogging torques [24,32]).…”

Section: Comparison Of Classical Lagrange Actuator Models and Propose...mentioning

confidence: 99%

Hamiltonian model of electromechanical actuator in natural reference frame.: Part II: Equations and simulations

Burlikowski

2011

Archives of Electrical Engineering

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Hamiltonian model of electromechanical actuator in natural reference frame.: Part II: Equations and simulationsIn the paper a novel mathematical model of electromechanical actuator is presented. It is based on application of Hamiltonian equations in the description of electro-mechanical energy conversion. It results in employment of flux linkages as state variables in the state space equations. For simplicity only a 3-phase wye connected stator winding without a neutral wire is considered in detail. The procedure can be generalised to any number of phases. Topology-based approach is used in the model implementation. Procedures for evaluation of all quantities (currents, energy/coenergy, electro-magnetic torque) present in model equations are described. Eddy currents and hysteresis phenolmenon are neglected in formulation of the model to enable application of state-space description.

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“…In this paper, the term field‐circuit model of electrical machine is related to the approaches expressing the flux linkages Ψ with the windings by two components:components defined by field quantities; andcomponent represented by inductances (Demenko and Hameyer, 2008; Lange et al , 2008). The expressions in Table III become: Equation 22 Equation 23 where L e is the matrix of equivalent inductances.…”

Section: Field‐circuit Modelmentioning

confidence: 99%

Field and field‐circuit models of electrical machines

Demenko

Hameyer²

2010

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

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PurposeThe purpose of this paper is to develop and systemize the 3D finite element (FE) description of electromagnetic field in electrical machines.Design/methodology/approach3D FE models of electrical machines are considered. The model consists of FE equations for the magnetic field, equations describing eddy currents and equations, which describe the currents in the machine windings. The FE equations are further coupled by the electromagnetic torque to the differential equation of motion. In the presented field‐circuit model, the flux linkages with the windings are expressed by two components. Attention is paid to the description of machine winding. Both scalar and vector potential formulations are analysed. The FE equations are derived by using the notation of circuit theory. The methods of movement simulation and torque calculation in FE models are discussed.FindingsProposed circuit description of electromagnetic field in electrical machines conforms to the applied method of electric and magnetic circuit analysis. The advantage of the presented description is that the equations of field model can be easy associated with the other equations of the electric drive system.Originality/valueThe applied analogies between the FE formulation and the equivalent magnetic and electric network models help formulate efficient field models of electrical machines. The developed models after coupling to the models of supply and control system can be successfully used in the analysis and design electric drives.

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Field and field-circuit description of electrical machines

Cited by 5 publications

References 29 publications

A hybrid method BEM-NRM for magnetostatics problems

A hybrid method BEM-NRM for magnetostatics problems

Hamiltonian model of electromechanical actuator in natural reference frame.: Part II: Equations and simulations

Field and field‐circuit models of electrical machines

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