Analysis of stator and rotor currents and torque of induction machine with rotor-bar faults
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ORIGINAL PAPER
Analysis of stator and rotor currents and torque of induction machine with rotor-bar faults L. Schreier1 · J. Bendl1 · M. Chomat1 Received: 4 December 2018 / Accepted: 18 August 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract The paper analyzes a case of the induction motor in which one or more rotor bars in the rotor cage are broken. The method of space vectors and symmetrical components of instantaneous values of currents and voltages is used in the analysis. The solution obtained makes it possible to determine the currents in each of the healthy rotor bars, the stator currents, and the electromagnetic torque of the machine for any number and arbitrary combination of broken rotor bars. The calculations are made for an induction motor with 17 rotor bars. The theoretical results are compared with experimental measurements. Keywords Induction machine · Squirrel cage rotor · Rotor bars · Symmetrical components of currents and voltages
List of symbols
u1S
m n in
RS Lσ S Lσ R L 1R
iA , iB , iC , … iM am ν u1Sρ ρ i1Sρ
i1R
Number of phases. Index of symmetrical component. Symmetrical component of currents with index n. Currents in rotor bars. Complex operator. Order of spatial harmonic. First symmetrical component of stator voltages transformed into rotor coordinate system. Angle between stator and rotor coordinate systems. First symmetrical component of stator currents transformed into rotor coordinate system. First symmetrical component of rotor currents.
Dr. Jiri Bendl passed away on February 19, 2019.
B
M. Chomat [email protected] L. Schreier [email protected]
1
Department of Electrical Engineering and Electrophysics, Institute of Thermomechanics of the Czech Academy of Sciences, Dolejskova 5, 182 00 Prague, Czech Republic
L1 χ1S NS χ1R NR RB RR i1B Lσ B A, B, C, … M p ωm ω T Tl J
First symmetrical component of stator voltages. Stator resistance. Stator leakage inductance. Rotor leakage inductance. Main inductance for fundamental spatial harmonic. Inductance of single conductor for fundamental harmonic. Stator winding factor for first harmonic. Number of conductors of single-phase stator winding. Rotor winding factor for first harmonic Number of conductors of single-phase rotor winding. Resistance of single rotor bar. Resistance of single rotor bar rated to stator number of conductors. First symmetrical component of rotor bar currents. Leakage inductance of rotor bar. Denotation of rotor bars. Number of pole pairs. Mechanical angular frequency. Synchronous angular frequency. Machine torque. Load torque. Moment of inertia.
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Electrical Engineering
1 Introduction Induction motors belong to the most common types of electric machines used for electromechanical energy conversion. They are relatively inexpensive, robust, reliable, and have low maintenance costs. Various faults can arise during their production or operation. Such a fault could be, e.g., the disconnection of one or more rotor bars from the end ring. Considerable attention has been paid to this t
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