Fourier-Based Modeling of an Induction Machine Considering the Finite Permeability and Nonlinear Magnetic Properties

Mollaeian, Aida; Kundu, Animesh; Toulabi, Mohammad Sedigh; Thamm, Michael Udo; Kim, Seog; Tjong, Jimi; Kar, Narayan C.

doi:10.1109/tec.2021.3085748

Cited by 9 publications

(4 citation statements)

References 25 publications

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“…5. Therefore, Ampere's law is applied to redefine the net airgap MMF [Λ net (α s ,t,f s )] as in (12):…”

Section: B Integration Of Core Mmf Drops Considering the Influence Of...mentioning

confidence: 99%

“…Therefore, there is a need for an alternative, a computationally efficient yet accurate magnetic field-based analytical model that can be employed during the initial design and optimization stages [8], [9]. Analytical models, such as the magnetic equivalent circuit model [10], subdomain model [11], and Fourier-based model [12] produce reasonably accurate results. However, they are not ideal for the initial design stages due to their heavy reliance on complex geometric information that is not readily available during the initial motor design stages and leads to inaccurate electromagnetic performance calculations.…”

Section: Introductionmentioning

confidence: 99%

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Magnetic Field-Based Induction Machine Modeling Incorporating Space and Time Harmonic Effects

Guruwatta Vidanalage,

Lombardi,

Tjong

et al. 2024

IEEE Access

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Integration of the impacts of time and space harmonics simultaneously during the design stages of inverter-fed induction machines (IMs) is crucial for the accurate calculation of electromagnetic torque (EM) and ripples. Traditional magnetic field-based models offer an analytical approach for determining the EM torque in IMs by calculating inductances. However, by assuming infinite core permeabilities, these models neglect the impact of the core magnetomotive force (MMF) drops due to the difficulties in accurately calculating these drops and the impracticality of isolating the contribution from each phase, which is essential for inductances calculations. These factors contribute to deficiencies in this modeling approach, which become more noticeable when the combined impacts of time and space harmonics on MMF drop calculations are also disregarded. Therefore, this paper introduces a novel magnetic-field-based model to predict the torque and torque ripples of inverter-fed induction motors by addressing the above limitations. This involves modifying the turns and winding function, and calculating the core MMF drops based on the timely variation of non-sinusoidal core flux densities, considering their major and minor flux-density loop effects. Consequently, the associated energy is used to calculate the net available energy, thereby enhancing torque calculations. Compared to the experimental results obtained from an 11kW prototyped induction motor, the proposed model exhibits notable enhancements, achieving average accuracies of 96.4% for average torque and 94.51% for torque ripples, in contrast to the respective traditional model accuracies, 81.1% and 45.1%.

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“…5. Therefore, Ampere's law is applied to redefine the net airgap MMF [Λ net (α s ,t,f s )] as in (12):…”

Section: B Integration Of Core Mmf Drops Considering the Influence Of...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Magnetic Field-Based Induction Machine Modeling Incorporating Space and Time Harmonic Effects

Guruwatta Vidanalage,

Lombardi,

Tjong

et al. 2024

IEEE Access

Self Cite

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“…The air-gap saturation flux harmonics are used in Tu et al (2008) to predict the magnetization level. In Mollaeian et al (2021), the authors used Fourier-based modeling considering finite permeability to model magnetic saturation in IM. Recent work has focused on the calculation of the magnetic field inside the machine considering the magnetic saturation effects (Roshandel et al , 2020) and (Roshandel et al , 2022).…”

Section: Introductionmentioning

confidence: 99%

Semianalytical modeling of squirrel-cage induction machines with consideration of iron permeability and eddy-currents using elementary subdomain technique

Roubache,

Boughrara,

Dubas

et al. 2024

COMPEL

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Purpose This paper aims to propose a semianalytical model of a squirrel-cage induction machine (SCIM), considering local magnetic saturation and eddy-currents induced in the rotor bars. Design/methodology/approach The regions of the rotor and stator are divided into elementary subdomains (E-SDs) characterized by general solutions at the first harmonic of the magneto-harmonic Maxwell’s equations. These E-SDs are connected in both directions (i.e., along the r- and θ-edges). Findings The calculation of the magnetic field has been validated for various values of slip and iron permeability. All electromagnetic quantities were compared with those obtained using a two-dimensional finite-element method. The semianalytical results are satisfactory compared with the numerical results, considering both the amplitude and waveform. Originality/value Expansion of the recent analytical model (E-SD technique) for the full prediction of the magnetic field in SCIMs, considering the local saturation effect and the eddy-currents induced in the rotor bars.

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“…Fatima et al [15] investigate the use of an improved permeance-based equivalent circuit model considering the frequency and magnetic curve dependent core loss branches for the prediction of the electromagnetic performances of induction machines. Mollaeian et al [16] use fourier-based modeling of an induction machine considering the finite permeability and nonlinear magnetic properties. Ojaghi and Nashari [17] investigate the modeling of eccentric squirrelcage induction motors with slotting effect and saturable teeth reluctances.…”

Section: Introductionmentioning

confidence: 99%

Analysis of magnetic saturation effects in the squirrel cage induction generators

Hachelaf,

Kouchih,

Tadjine

et al. 2024

IJPEDS

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This work concerns an investigation on the analysis of the magnetic saturation effects in the three-phase squirrel cage induction generator which is considered as a main device in wind energy conversion systems. The magnetic saturation is considered as an important factor causing destructive effects on power qualities such as harmonics and distortion. Several approaches have been presented in the literature for the modeling of the electric machines considering magnetic saturation. The widely used and precise approach is the finite elements method which is particularly characterized by its high computational time. The novelty in this paper is that a state model has been developed for the healthy conditions of the three-phase squirrel cage induction generators considering the experimental variation of the magnetizing inductance in terms of the magnetizing current. Simulation and experimental tests are provided to extract some important signatures on stator voltages and currents. It will be deduced that the spectrum analysis of stator currents contains useful information on magnetic saturation. Experimental and theoretical results illustrate the consistency of this approach for the modeling and analysis of the squirrel cage induction generators considering the magnetic saturation.

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Fourier-Based Modeling of an Induction Machine Considering the Finite Permeability and Nonlinear Magnetic Properties

Cited by 9 publications

References 25 publications

Magnetic Field-Based Induction Machine Modeling Incorporating Space and Time Harmonic Effects

Magnetic Field-Based Induction Machine Modeling Incorporating Space and Time Harmonic Effects

Semianalytical modeling of squirrel-cage induction machines with consideration of iron permeability and eddy-currents using elementary subdomain technique

Analysis of magnetic saturation effects in the squirrel cage induction generators

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