An enhanced analytical technique based on winding function theory for analysis of induction motors

Rezaee‐Alam, Farhad; Rezaeealam, Behrooz

doi:10.1002/2050-7038.12863

Cited by 4 publications

(10 citation statements)

References 31 publications

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“…Figure 1 shows a closed path in the zoomed view of motor geometry. The ampere circuit law is written on this closed path while considering the MMF drops in iron parts as [18]    …”

Section: Ham Based On Wftmentioning

confidence: 99%

“…After obtaining the distribution of scalar magnetic potential in all nodes for relevant operating point, the magnetic flux density is also obtained in different branches. Then, the distribution of equivalent virtual currents in slot-openings of stator and rotor is obtained as follows [18]:…”

Section: Calculation Of 𝑵 𝒔𝒂𝒕¸ 𝑨 (𝜶)mentioning

confidence: 99%

“…Figure 6 shows the variation of equivalent virtual current in one typical slot (7 th slot) of stator and rotor in terms of rotor positions when the branches A 1 and A 2 of main phase are separately excited with 0.5 ampere. The virtual turn function (𝑛 𝑠𝑎𝑡¸ 𝐴 (𝛼 ′ ¸ 𝜃 𝑟 )) in terms of rotor positions and 𝛼 = 𝛼 ′ can be expressed as [18] …”

Section: Vs I Ts I Ts I Ys I Ys I Ts I Tsmentioning

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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Section: Ham Based On Wftmentioning

confidence: 99%

Section: Calculation Of 𝑵 𝒔𝒂𝒕¸ 𝑨 (𝜶)mentioning

confidence: 99%

Section: Vs I Ts I Ts I Ys I Ys I Ts I Tsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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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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Modified magnetic equivalent circuit model for magnetic field analysis of one cage‐rotor induction motor used in electric submersible pumps

Rezaee‐Alam

Marashi

Roozbehani

2023

IET Electric Power Appl

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Here, a modified magnetic equivalent circuit model which can accurately consider the air‐gap region is presented. The main defect of magnetic equivalent circuit model is in the modelling of air‐gap region. To solve this problem, a new approach based on conformal mappings is presented to accurately calculate the air‐gap permeances between the elements of stator and rotor while considering the real paths of flux tubes in air gap. The distributions of equivalent virtual currents on the both sides of air gap are obtained through modified magnetic equivalent circuit model, which represent the effects of slots, magneto motive force drops in iron parts, and magneto motive force sources. The conformal mapping method is then used to calculate the components of air‐gap magnetic field for every operating point under starting conditions and different loads. One typical cage‐rotor induction motor, which is used in electric submersible pumps, is considered to investigate the accuracy of modified magnetic equivalent circuit model. Some of the analytical results obtained through modified magnetic equivalent circuit model are verified by comparing with the corresponding results obtained from finite element method and experiment set up.

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An enhanced analytical technique based on winding function theory for analysis of induction motors

Cited by 4 publications

References 31 publications

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

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

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

Modified magnetic equivalent circuit model for magnetic field analysis of one cage‐rotor induction motor used in electric submersible pumps

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