Exact Modeling and Simulation of Saturated Induction Motors with Broken Rotor Bars Fault using Winding Function Approach

Ojaghi, Mansour; Sabouri, Mahdi; Faiz, Jawad; Ghorbanian, Vahid

doi:10.5829/idosi.ije.2014.27.01a.10

Cited by 8 publications

(7 citation statements)

References 33 publications

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“…We add the leakage inductances to the self-inductances. Therefore, the inductances matrices can be obtained from (10) as follows [21,22]:…”

Section: Inverter -Squirrel Cage Induction Machine Modelingmentioning

confidence: 99%

“…This coil has no conductive contact with the other phases but it is mutually coupled with all the other circuits on both the stator and rotor sides. This technic was applied previously for a wound rotor induction motor [15][16][17][18][19][20][21][22][23][24]25]. The position of this added coil is chosen that all electrical magnitudes can be measured such as voltage and flux.…”

Section: Auxiliary Winding Voltage Park Componentsmentioning

confidence: 99%

“…After Applying the fourth order Runge-Kutta method to resolve numerically the differential matrix in (14), we obtain the current vector used to determine the auxiliary winding flux [15][16][17][18][19][20][21][22][23][24][25] = I sa + I sb + I sc + ∑ Nr =1 I r (19) The M saux , M raux are the stator and rotor auxiliary winding mutual inductances respectively. The flux in (19) lead to the auxiliary winding voltage expression: (20) In order to use the Lissajous curve for our model, the determination of the auxiliary winding voltage Park components is essential.…”

Section: Diagnostic System Mathematical Model 411 Auxiliary Windinmentioning

confidence: 99%

See 2 more Smart Citations

Fault diagnosis of a squirrel cage induction motor fed by an inverter using lissajous curve of an auxiliary winding voltage

Jelbaoui

Lamiaà

Saâd

2021

IJEECS

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The development of electronic power components has allowed the increase of the induction machine performance. Indeed, monitoring squirrel cage induction motors driven through rectifiers and inverters has been a major concern. This paper presents a new method to diagnose the combination inverter-machine faults. This technic considers an auxiliary winding which is a small coil inserted between two stator phases. It is based on Lissajous curve of this auxiliary winding voltage Park components. For this purpose, modeling the electromechanical conversion chain is necessary. The focus will particularly be on modeling both the squirrel cage induction machine and the inverter in a non-defected case which is a reference. Moreover, the explicit expressions developed for the inserted winding voltage and its Park components will be presented. The simulation results show the effectiveness of the proposed method.

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“…We add the leakage inductances to the self-inductances. Therefore, the inductances matrices can be obtained from (10) as follows [21,22]:…”

Section: Inverter -Squirrel Cage Induction Machine Modelingmentioning

confidence: 99%

Section: Auxiliary Winding Voltage Park Componentsmentioning

confidence: 99%

Section: Diagnostic System Mathematical Model 411 Auxiliary Windinmentioning

confidence: 99%

See 1 more Smart Citation

Fault diagnosis of a squirrel cage induction motor fed by an inverter using lissajous curve of an auxiliary winding voltage

Jelbaoui

Lamiaà

Saâd

2021

IJEECS

View full text Add to dashboard Cite

show abstract

“…So, the rotor current and flux‐linkage vectors and its resistance and inductance matrices should be reconstructed with the new dimensions. Second, the current through the broken bar tends to zero by raising its resistance accordingly in the rotor resistance matrix [40]. For instance, by breaking the rotor bar number 2, the modified resistance matrix of the rotor will be as follows:

false[R_{r} false] = (][, \begin{matrix} 1em4pt \\ R_{b} + R_{normalb 2} + 2 R_{e} & - R_{normalb 2} & 0 & \dots & - R_{b} \\ - R_{normalb 2} & R_{normalb 2} + R_{b} + 2 R_{e} & - R_{b} & \dots & 0 \\ 0 & - R_{b} & 2 false(R_{b} + R_{e} false) & \dots & ⋮ \\ ⋮ & ⋮ & ⋮ & \dots & ⋮ \\ - R_{b} & 0 & \dots & \dots & 2 false(R_{b} + R_{e} false) \end{matrix}),

where R b2 is the raised resistance of the broken bar.…”

Section: Flexible Analytical Model Of Scimmentioning

confidence: 99%

Model‐based unified technique for identifying severities of stator inter‐turn and rotor broken bar faults in SCIMs

Sabouri

Ojaghi

Faiz

et al. 2020

IET Electric Power Applications

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Condition monitoring is an essential technology for detecting various incipient defects in electrical machines. Stator inter‐turn and rotor broken bar faults are two major faults of the squirrel cage induction motors (SCIMs). Many attempts have been made to provide fault diagnosis systems for detecting the faults individually. This study proposes a novel unified fault diagnosis system for detecting the faults and identifying their exact severities. The system is based on a flexible model of the SCIM and can identify the severities of the faults even if they are presenting simultaneously. Robustness against the motor load change, the unbalance degree of the voltage supply and its distortion are the other merits of the proposed fault diagnosis system. Experimental results under various fault modes and operating conditions demonstrate the effectiveness of the proposed fault identification technique.

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“…As shown in Table 1, only the approaches proposed in References 12,21,22,25,26,54,57,58,[60][61][62][63][64] take into consideration all the spatial harmonic components of air gap MMFs and are able to describe transient behaviors of SCIMs with faulty rotor. Among these approaches, those that are derived based on the finite element method 54,57,58,60 or the equivalent magnetic circuit (EMC) approach [61][62][63][64] can only be used to produce numerical models.…”

Section: Introductionmentioning

confidence: 99%

An analytical model for squirrel cage induction machine with broken rotor bars derived based on the multiple coupled circuit theory and the winding function approach

Guo

Zhang

et al. 2021

Circuit Theory & Apps

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In this paper, a squirrel cage induction machine (SCIM) with broken rotor bars is modeled by using the multiple coupled circuit theory and the winding function approach. This analytical model includes all the spatial harmonic components of air gap magnetomotive force and is applicable to the study of transient machine behaviors. Equivalent circuits that are consistent with the topologies of healthy and faulty cage rotors are developed. The equivalent circuit for the healthy rotor of a SCIM having an integer number of rotor bars per pole is simplified further by exploiting the symmetry of the winding functions of the stator. In the equivalent circuit for a healthy rotor, inserting an independent current source in the bar that breaks in the damaged rotor, whose current

show abstract

Exact Modeling and Simulation of Saturated Induction Motors with Broken Rotor Bars Fault using Winding Function Approach

Cited by 8 publications

References 33 publications

Fault diagnosis of a squirrel cage induction motor fed by an inverter using lissajous curve of an auxiliary winding voltage

Fault diagnosis of a squirrel cage induction motor fed by an inverter using lissajous curve of an auxiliary winding voltage

Model‐based unified technique for identifying severities of stator inter‐turn and rotor broken bar faults in SCIMs

An analytical model for squirrel cage induction machine with broken rotor bars derived based on the multiple coupled circuit theory and the winding function approach

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