A Finite Element-Based Circuit Model Approach for Skewed Electrical Machines

Mohr, Martin; Bíró, Oszkár; Stermecki, Andrej; Diwoky, Franz

doi:10.1109/tmag.2013.2280292

Cited by 12 publications

(12 citation statements)

References 8 publications

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“…However, precalculated static FE results can be used in the state-space models to replace the analytical inductance functions. Such approaches have been starting to gain increasing attention during the recent years, although from quite a limited number of research groups so far [12]- [21]. Below, these approaches are briefly reviewed and discussed.…”

Section: Introductionmentioning

confidence: 99%

“…Instead of calculating the inductance functions using FEM, [19]- [21] directly identified the flux linkages of the windings as functions of the currents and the rotor angle. This would not be beneficial in the linear cases of [12], [13], [15], and [16] in which one inductance function describes the behavior for the whole range of currents.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, the nonlinear case requires freezing the permeabilities of iron into the desired operation point, as also stated in [19]. A common feature for all the reviewed methods [12]- [21] is that they all use the currents as the state variables together with the (electrical) rotor angle α r . With this approach, (1) becomes…”

Section: Introductionmentioning

confidence: 99%

“…However, if skewing or other axial effects are to be modeled, the currentbased approach allows coupling multiple axial slices in the state-space model while employing data only from a single 2-D FE model [21]. This is a significant advantage of the current-based models, since the slice model does not have to be implemented in FEM.…”

Section: Introductionmentioning

confidence: 99%

“…Another way is to directly interpolate the torque from precalculated FE results, as was done in [17]- [21]. Finally, [12]- [21] only focused on star-connected machines thus assuming that no zero-sequence current flows in the stator windings.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Comparison of Finite-Element-Based State-Space Models for PM Synchronous Machines

Rasilo

Lemesle²,

Belahcen

et al. 2014

IEEE Trans. Energy Convers.

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Abstract-An interior-permanent-magnet motor is modeled by a combined analytical-numerical approach, in which the relationships between the stator currents and flux linkages are identified with static finite-element (FE) analysis. In addition to the previous approaches using the current space vector as the state variable, new models are also developed using the fluxlinkage space vector, which leads to more convenient timeintegration of the voltage equations. In order to account for the zero-sequence effects in delta connection, the models also include either the zero-sequence flux or current as an additional state variable. Finally, the possibilities of deriving the required quantities as partial derivatives of the magnetic field energy are discussed. The energy-based approaches avoid inaccuracies related to torque computation and thus allow better satisfying the power balance in the state-space model. We show the ability of the developed state-space models to predict the currents and torque equally to a nonlinear time-stepping FE model with much less computational burden. The results are validated by means of measurements for a prototype machine in both star and delta connections. In addition, we also demonstrate the effect of the zero-sequence current on the torque ripple in case of a deltaconnected stator winding.Index Terms-Field energy, finite element methods, magnetic saturation, permanent magnet machines, reluctance machines, state-space methods, torque ripple, variable speed drives. I. INTRODUCTIONERMANENT-MAGNET (PM) synchronous machines with interior magnets have become popular in variablespeed applications as both motors and generators. Their main advantages are high power densities, relatively simple construction, small rotor losses as well as the possibility of taking advantage of the reluctance torque owing to the magnetic saliency [1]. However, the spatial permeance harmonics due to the saliency and the interaction of the permanent magnet flux with the stator slotting also cause unwanted ripple in the electromagnetic torque of the machine [2]. The torque ripple typically deteriorates the properties of the application and may excite mechanical resonances. In addition, the harmonic effects complicate the modeling of the machine. The voltage equations for a PM synchronous machine can be written asin which the column vectors u, i and ψ include either the phase-domain or two-axis components (in the stator frame of reference) of the voltage, current and flux linkage, respectively, and R s is the resistance of a stator phase. When solving this system, the relationship between the current and flux linkage is usually expressed using analytical inductance functions, the simplest ones of which reduce to constant inductances when (1) is transformed into the rotor directquadrature (d-q) frame of reference. This traditional d-q model only accounts for the fundamental spatial permeance variation and neglects magnetic saturation. Although more complicated functions for both higher-order permeance harmonics [3]- [6...

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Comparison of Finite-Element-Based State-Space Models for PM Synchronous Machines

Rasilo

Lemesle²,

Belahcen

et al. 2014

IEEE Trans. Energy Convers.

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An improved model of cage induction machines for fast transients studies

Hosseinibafqi

Akbari

Saied

2019

Int Trans Electr Energ Syst

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Summary This paper investigates modeling improvement of cage induction machines (CIMs) in fast transients. In this method, RLC ladder network model associated with each turn of the coil is employed as the interface between voltage sources and finite element region. All circuit and field equations are rewritten to obtain final matrix of the system. The developed model opens a way to improve electrical machine simulators, on the basis of finite element method (FEM), to obtain a more accurate voltage distribution waveform at each turn of the coil in fast transients and to increase frequency validity of the modeled machine by RLC method using the FEM.

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Analytical modelling of synchronous reluctance motor including non‐linear magnetic condition

Naseer

Kallaste

Asad

et al. 2022

IET Electric Power Appl

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This paper presents an analytical modelling technique based on modified winding function and co‐energy analysis, for characterisation of synchronous reluctance machines, in conjunction with a hybrid algorithm for mapping of the machine's operating point on BH curve and the corresponding performance parameters in non‐linear magnetic condition. The model successfully provides the mean torque and the torque profiles of a synchronous reluctance motor as a function of input current and load‐angle in the magnetic linear and non‐linear conditions. The obtained results of this proposed model are compared with finite‐element‐analysis (FEA) based commercial design software Simcentre‐MAGNET. The comparison proves this model's capability to estimate the machine's performance parameters with considerable accuracy from an already established design analysis technique, FEA. The proposed modelling technique requires only a fraction of simulation runtime when compared to other design analysis techniques. Considering the accuracy of this modelling technique and the least requirement of computation resources and simulation time, this model can be used as an initial iterative‐design tool for mass personalised, additively manufactured electrical machines where rapidness of the iterative design analysis tool is of paramount importance.

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A Finite Element-Based Circuit Model Approach for Skewed Electrical Machines

Cited by 12 publications

References 8 publications

Comparison of Finite-Element-Based State-Space Models for PM Synchronous Machines

Comparison of Finite-Element-Based State-Space Models for PM Synchronous Machines

An improved model of cage induction machines for fast transients studies

Analytical modelling of synchronous reluctance motor including non‐linear magnetic condition

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