Performance Analysis of a Three-Phase Induction Motor under Mixed Eccentricity Condition

Nandi,; Bharadwaj,; Toliyat,

doi:10.1109/mper.2002.4312354

Cited by 45 publications

(86 citation statements)

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“…The winding distribution is independent of the angular position of the rotor and variation of air gap due to eccentricity; hence, it is appropriate to write n(ϕ) instead of n(ϕ, θ r ) as described in [3,4,6,7,9]. The MMF of any closed path in a magnetic circuit is defined as the net ampere-turns Ni enclosed by that path.…”

Section: Continuous Space Winding Functionmentioning

confidence: 99%

“…During dynamic eccentricity, the winding function depends on the angular position of the rotor, which is defined in [7][8][9] as…”

Section: Modified Winding Functionmentioning

confidence: 99%

“…Under mixed (both static and dynamic) eccentricity conditions, the inductance of a coil A due to current in coil B can be expressed as [4,7,8]:…”

Section: Calculation Of Magnetizing Inductancesmentioning

confidence: 99%

“…Attempt to reduce the computational complexity in the calculation of mutual inductances between stator and rotor under dynamic eccentricity has been made in [6] using an air gap modulating function. In order to demonstrate the definition of mutual inductance of a coil as a ratio of flux linkage of a coil due to unit current flowing in another coil, an extension of winding function theory has been proposed in [7]. Subsequently, a number of research articles have suggested on the simulation of static and dynamic eccentricity of motor due to non-uniform air gap [8,9].…”

mentioning

confidence: 99%

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A Computationally Efficient Winding Function Method for Calculation of Inductances in an Asymmetric Induction Motor

Mishra

Routray

Mukhopadhyay

2007

Electric Power Components and Systems

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Winding function theory has been successfully applied for the calculation of magnetizing inductances of asynchronous and synchronous rotating machines for steady-state and transient analysis. The computational burden in such simulations is heavy because of the calculation of a large number of inductances of the stator and rotor circuit coils, at every time step, each of which requires evaluation of definite integrals of the products of winding functions, their distributions and inverse air gap functions around the rotor periphery. This article proposes a modified discrete space model of continuous space winding function of a squirrel cage induction motor. The discrete model uses the air gap functions directly and consequently eliminates inverse air gap functions and their approximations. Further, it uses simple and direct formulae for the calculation of motor inductances, which results in considerable reduction in the computational complexity and execution time while preserving the accuracy of computation. Discrete winding functions are suitable for the simulation of gradual changes in asymmetrical faults such as eccentricity, rotor bar faults and end ring faults in a three phase squirrel cage induction motor. Simulation results show the comparative assessment of computational complexity, accuracy and execution time required for the calculation of the stator and rotor inductance values of an asymmetrical induction motor.

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Section: Continuous Space Winding Functionmentioning

confidence: 99%

“…During dynamic eccentricity, the winding function depends on the angular position of the rotor, which is defined in [7][8][9] as…”

Section: Modified Winding Functionmentioning

confidence: 99%

“…Under mixed (both static and dynamic) eccentricity conditions, the inductance of a coil A due to current in coil B can be expressed as [4,7,8]:…”

Section: Calculation Of Magnetizing Inductancesmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

A Computationally Efficient Winding Function Method for Calculation of Inductances in an Asymmetric Induction Motor

Mishra

Routray

Mukhopadhyay

2007

Electric Power Components and Systems

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“…However, the analysis of electrical machines under eccentricity conditions was erroneous [9] until the modified winding function approach (MWFA) for a non-symmetrical air gap was proposed in [10]. This method has received much attention in the literature [11][12][13][14][15] to analyze the induction and synchronous machines under different eccentricity faults.…”

Section: Introductionmentioning

confidence: 99%

A Novel Technique for the Computation of Inductances of Salient Pole Machines under Different Eccentricity Conditions

Akbari

Milimonfared

Kelk

2011

Electric Power Components and Systems

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In this article, comprehensive analytical equations are developed to compute time-varying inductances of salient pole machines with any eccentricity type and degree in a unified technique. For this purpose, the inverse air-gap function of the eccentric salient pole machine has been defined, and its indefinite integral has then been determined. The derived analytical expressions, unlike the previous proposals, take into account all the harmonics of the inverse of the air-gap function without any development in Fourier series. The presented method eliminates the need for inexact analytical equations, numerical differentiations, and huge lookup tables, which are common in the modified winding function approach. Theoretical fundamentals and experimental results that validate the proposed technique are presented.

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Improved air gap permeance model to characterise the transient behaviour of electrical machines using magnetic equivalent circuit method

Lannoo

Vanoost

Peuteman

et al. 2020

Int J Numerical Modelling

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Transient analysis of electrical machines with mixed eccentricity requires dedicated, fast and accurate solvers. This paper proposes an improved air gap permeance expression which (i) is physically interpretable and (ii) can be easily derived based on the rotor position. This expression is very suitable for inclusion in a solver based on the magnetic equivalent circuit (MEC) method. This allows to e.g. calculate the torque and forces when vibrations act on the rotor. The results of the MEC solver agree very well with those obtained with a FEM solver, but are obtained with a fraction of the simulation time of the FEM solver.

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Performance Analysis of a Three-Phase Induction Motor under Mixed Eccentricity Condition

Cited by 45 publications

References 0 publications

A Computationally Efficient Winding Function Method for Calculation of Inductances in an Asymmetric Induction Motor

A Computationally Efficient Winding Function Method for Calculation of Inductances in an Asymmetric Induction Motor

A Novel Technique for the Computation of Inductances of Salient Pole Machines under Different Eccentricity Conditions

Improved air gap permeance model to characterise the transient behaviour of electrical machines using magnetic equivalent circuit method

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