An Improved Winding Function Theory for Accurate Modeling of Small and Large Air-Gap Electric Machines

Rezaee‐Alam, Farhad; Rezaeealam, Behrooz; Naeini, Vahid

doi:10.1109/tmag.2021.3064402

Cited by 12 publications

(23 citation statements)

References 34 publications

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“…Under above-mentioned excitation, the distribution of equivalent virtual currents on the inner surface of stator I vs ð Þ and outer surface of rotor I vr ð Þ are shown in Figure 10. As shown in Figure 11, the radial and tangential components of magnetic flux density in the middle of air-gap are then calculated using ( 4)- (7).…”

Section: Non-linear Mec Modelmentioning

confidence: 99%

“…However, FEM is a timeconsuming technique and it is better used in final stage to verify the analytical results [2]. Winding function theory has been used to calculate the inductances and transient analysis of CRIMs in many previous studies [2,[4][5][6][7]. However, Winding function theory cannot be used to calculate the air-gap magnetic field.…”

Section: Introductionmentioning

confidence: 99%

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Analytical modelling of one cage rotor induction motor for electric submersible pumps

Rezaee‐Alam

Marashi

Dehafarin

et al. 2022

IET Electric Power Appl

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A new hybrid analytical model (HAM) based on conformal mapping (CM) method and magnetic equivalent circuit (MEC) model is presented in this paper for electromagnetic modelling of cage rotor induction motors (CRIMs) used in electric submersible pumps (ESPs). For every operating point, the iron parts are modelled with a non-linear MEC model to calculate the equivalent virtual currents, which represent the influence of magneto motive force (MMF) drops and MMF sources in stator and rotor cores. The effects of the equivalent virtual currents on the air-gap magnetic field are then considered using the CM method and Hague's solution. This approach for calculating the air-gap field is also used to prepare a 3-D lookup table (3-D LUT) for each element of inductance matrix and derivative of inductance matrix in terms of rotor position. These LUTs are then used for transient modelling and analysis of CRIM under no-load and loading conditions. The accuracy of proposed HAM is validated by comparing the results obtained through HAM with corresponding results obtained from finite element method and experiment set-up. K E Y W O R D S conformal mapping (CM), hybrid analytical model (HAM), inductance, magnetic equivalent circuit (MEC) model, magnetic field, magnetic saturation This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Section: Non-linear Mec Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical modelling of one cage rotor induction motor for electric submersible pumps

Rezaee‐Alam

Marashi

Dehafarin

et al. 2022

IET Electric Power Appl

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“…Since the air-gap length of UTPIMs is small, it is sufficient that the air-gap complex permeance is calculated in the middle of air-gap [19]. For this reason, one contour is considered in the middle of air-gap in S-domain as follows:…”

Section: Figurementioning

confidence: 99%

“…According to above explanations, the analytical techniques have some drawbacks for analysis of electric machines. For this reason, in recent years, hybrid analytical models (HAMs) have been presented which can simultaneously consider the capabilities of different techniques for accurate modeling of electric machines [14][15][16][17][18][19]. HAM based on CM and MEC models has been used to model and analysis of permanent-magnet synchronous motors in [14][15][16][17], so that the airgap region and iron parts have been modeled by using CM and MEC, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…HAM based on CM and MEC models has been used to model and analysis of permanent-magnet synchronous motors in [14][15][16][17], so that the airgap region and iron parts have been modeled by using CM and MEC, respectively. In this paper, the HAM based on WFT and MEC [18][19] is extended for electromagnetic modeling and analysis of one typical UTPIM. In real, this HAM acts based WFT which is assisted by MEC model.…”

Section: Introductionmentioning

confidence: 99%

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A New Hybrid Analytical Model Based on Winding Function Theory for Analysis of Unbalanced Two-Phase Induction Motors

2022

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The purpose of this paper is to present a new hybrid analytical model (HAM) based on winding function theory (WFT) for electromagnetic analysis of performance of one typical unbalanced two-phase induction motor (UTPIM). Different indexes of electromagnetic modeling such as winding distribution, slotting effect, and magnetic saturation can be accurately considered by using the proposed HAM. For obtaining this new hybrid technique, WFT is reformulated for considering the magnetic saturation in addition to the influence of slotting and winding distribution. The conformal mappings (CMs) are used to accurately calculate the slotted air-gap length. The magnetic equivalent circuit (MEC) model is used to consider the magnetomotive force (MMF) drop in stator and rotor cores due to the excitation of one phase-winding.The obtained results of CMs and MEC are then utilized in reformulated WFT to calculate the inductances of respective phase-winding. Transient analysis is then done to calculate the indexes of performance such as air-gap magnetic field, phase currents, electromagnetic torque, and rotor speed by using the lookup table of inductances while considering different capacitors in auxiliary phase. In each step, the accuracy of analytical results is confirmed by comparing with corresponding results obtained from finite element method (FEM).

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A new hybrid analytical model for electromagnetic analysis of wound rotor induction motors

Rezaee‐Alam

Hosseini

Rezaeealam

2022

Int J Numerical Modelling

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Accurate modeling of slotting and magnetic saturation effects has been two main challenges for analytical modeling of electric machines. In this article, first, different techniques such as sub-domain (S-D) model, winding function theory, magnetic equivalent circuit (MEC) model, and conformal mapping (CM) method are introduced to analytical model and analysis of electric machines. These techniques are also compared in terms of their accuracy, and computational complexity. Second, with respect to the comparison results, a new hybrid analytical model is presented for electromagnetic modeling of wound rotor induction motors, which consider the modeling accuracy of slotting and magnetic saturation effect, simultaneously. In this way, the air-gap region is modeled by using S-D model, and the iron parts are considered by using MEC model assisted by CMs. In final, the analytical results are verified by comparing with corresponding results obtained through finite element method and experiment set-up.

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An Improved Winding Function Theory for Accurate Modeling of Small and Large Air-Gap Electric Machines

Cited by 12 publications

References 34 publications

Analytical modelling of one cage rotor induction motor for electric submersible pumps

Analytical modelling of one cage rotor induction motor for electric submersible pumps

A New Hybrid Analytical Model Based on Winding Function Theory for Analysis of Unbalanced Two-Phase Induction Motors

A new hybrid analytical model for electromagnetic analysis of wound rotor induction motors

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