Reduced-Order Model of Rotor Cage in Multiphase Induction Machines: Application on the Prediction of Torque Pulsations

Mekahlia, Abdelhak; Semail, Eric; Scuiller, Franck; Zahr, Hussein

doi:10.3390/mca25010011

Cited by 4 publications

(4 citation statements)

References 25 publications

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“…The network set-up, adaptation, matrix writing and resolution were detailed. The model has been compared with the finite volume method, and several experiments have been planned; Mekahlia et al [9]. In this significant research, a harmonic EEC was presented for multi-phase squirrel-cage induction machines.…”

Section: Electrical Thermal or Magnetic Equivalent Circuit (Eec Tec Or Mec)mentioning

confidence: 99%

Mathematical Models for the Design of Electrical Machines

Dubas

Boughrara

2020

MCA

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Section: Electrical Thermal or Magnetic Equivalent Circuit (Eec Tec Or Mec)mentioning

confidence: 99%

Mathematical Models for the Design of Electrical Machines

Dubas

Boughrara

2020

MCA

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“…They can accurately reproduce the behaviour of the eccentric IM [20], but they require detailed information about construction aspects of the IM and are computationally intensive. This problem can be alleviated using order-reduction models [21], solving the machine at some positions and performing a field reconstruction based on them or with hybrid FEM-analytical models [22][23][24]. • Analytical models, based on a network of magnetically coupled circuits [25].…”

Section: Introductionmentioning

confidence: 99%

Analytical Model of Eccentric Induction Machines Using the Conformal Winding Tensor Approach

Terron-Santiago

Martínez-Román

Puche-Panadero

et al. 2022

Sensors

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Induction machines (IMs) are a critical component of many industrial processes, and their failure can cause large economic losses. Condition-based maintenance systems (CBMs) that are capable of detecting their failures at an incipient stage can reduce these risks by continuously monitoring the IMs’ condition. The development and reliable operations of CBMs systems require rapid modeling of the faulty IM. Due to the fault-induced IM asymmetries, these models are much more complex than those used for a healthy IM. In particular, a mixed eccentricity fault (static and dynamic), which can degenerate into rubbing and destruction of the rotor, produces a non-uniform IM air gap that is different for each rotor position, which makes its very difficult to calculate the IM’s inductance matrix. In this work, a new analytical model of an eccentric IM is presented. It is based on the winding tensor approach, which allows a clear separation between the air gap and winding-related faults. Contrary to previous approaches, where complex expressions have been developed for obtaining mutual inductances between conductors and windings of an eccentric IM, a conformal transformation is proposed in this work, which allows using the simple inductance expressions of a healthy IM. This novel conformal winding tensor approach (CWFA) is theoretically explained and validated with the diagnosis of two commercial IMs with a mixed eccentricity fault.

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“…In [ 17 , 18 ], this matrix is obtained by direct measurements, in [ 19 ] a FEM model has been used for inductance computation, and in [ 20 , 21 ] a hybrid FEM-analytical method has been presented. In [ 22 ], a reduced-order model of the rotor cage is used to take into account non-sinusoidal magnetomotive (MMF) forces. Saturation and non-linearities of the magnetic circuit have been taken into account in circuital IM models using modified air gap length functions [ 23 ], the co-energy based method [ 15 ], or a complex multi-harmonic model [ 24 ].…”

Section: Introductionmentioning

confidence: 99%

Analytical Model of Induction Machines with Multiple Cage Faults Using the Winding Tensor Approach

Martínez-Román

Puche-Panadero

Sapena-Bañó

et al. 2021

Sensors

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Induction machines (IMs) are one of the main sources of mechanical power in many industrial processes, especially squirrel cage IMs (SCIMs), due to their robustness and reliability. Their sudden stoppage due to undetected faults may cause costly production breakdowns. One of the most frequent types of faults are cage faults (bar and end ring segment breakages), especially in motors that directly drive high-inertia loads (such as fans), in motors with frequent starts and stops, and in case of poorly manufactured cage windings. A continuous monitoring of IMs is needed to reduce this risk, integrated in plant-wide condition based maintenance (CBM) systems. Diverse diagnostic techniques have been proposed in the technical literature, either data-based, detecting fault-characteristic perturbations in the data collected from the IM, and model-based, observing the differences between the data collected from the actual IM and from its digital twin model. In both cases, fast and accurate IM models are needed to develop and optimize the fault diagnosis techniques. On the one hand, the finite elements approach can provide highly accurate models, but its computational cost and processing requirements are very high to be used in on-line fault diagnostic systems. On the other hand, analytical models can be much faster, but they can be very complex in case of highly asymmetrical machines, such as IMs with multiple cage faults. In this work, a new method is proposed for the analytical modelling of IMs with asymmetrical cage windings using a tensor based approach, which greatly reduces this complexity by applying routine tensor algebra to obtain the parameters of the faulty IM model from the healthy one. This winding tensor approach is explained theoretically and validated with the diagnosis of a commercial IM with multiple cage faults.

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Reduced-Order Model of Rotor Cage in Multiphase Induction Machines: Application on the Prediction of Torque Pulsations

Cited by 4 publications

References 25 publications

Mathematical Models for the Design of Electrical Machines

Mathematical Models for the Design of Electrical Machines

Analytical Model of Eccentric Induction Machines Using the Conformal Winding Tensor Approach

Analytical Model of Induction Machines with Multiple Cage Faults Using the Winding Tensor Approach

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