Abstract
The paper deals with the influence of a loss of one phase of a feeding source on the properties of a five-phase induction machine. The attention is paid to the waveforms of the currents in individual stator phases, the increase in torque pulsations and the decrease of speed in emergency operation after the disconnection of a faulty phase of the source. Machines in star, pentagon and pentacle connections are taken into consideration. The conclusions of the theoretical analysis are verified experimentally.
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Abbreviations
- \({{\varvec{u}}}_\mathrm{1S}, {{\varvec{u}}}_\mathrm{3S}, {{\varvec{u}}}_\mathrm{5S}\) :
-
First, third, and fifth voltage components of five-phase stator winding
- \({{\varvec{i}}}_\mathrm{1S}, {{\varvec{i}}}_\mathrm{3S}, {{\varvec{i}}}_\mathrm{5S}\) :
-
First, third, and fifth current components of five-phase stator winding
- \({{\varvec{i}}}_{1R\lambda }, {{\varvec{i}}}_{3R\lambda }, {{\varvec{i}}}_{5R\lambda }\) :
-
First, third, and fifth current components of rotor currents transformed to stator coordinates and rated to effective number of stator conductors
- \(R_S ,L_{\sigma S}\) :
-
Stator resistance and leakage inductance
- \(L_\mathrm{1h} ,L_\mathrm{3h}, L_\mathrm{5h}\) :
-
Main inductance for first, third and fifth waves
- \(u_\mathrm{SA}, u_\mathrm{SB},\) \(u_\mathrm{SC}, u_\mathrm{SD}, u_\mathrm{SE}\) :
-
Stator phase voltages
- \({{\varvec{a}}}\) :
-
Unit vector of five-phase winding
- \(N_\mathrm{S}\) :
-
Number of conductors of stator phase winding
- \(\kappa _\mathrm{1S} ,\kappa _\mathrm{3S}\) :
-
Winding factor of stator winding for first and third waves
- \({\varvec{\varPhi }}_\mathrm{1j}, {\varvec{\varPhi }}_\mathrm{3j}\) :
-
Vectors of first and third harmonics of flux in yoke
- \(L_1 ,L_3\) :
-
Inductance of single conductor for first and third harmonics
- \(\mu _0\) :
-
Permeability of vacuum
- D :
-
Stator bore
- l :
-
Active length of iron
- \(\delta \) :
-
Length of air gap including Carter’s factor
- p :
-
Number of pole pairs
- \(i_\mathrm{SA}, i_\mathrm{SB}, i_\mathrm{SC}, i_\mathrm{SD}, i_\mathrm{SE}\) :
-
Stator phase currents
- \(i_{1S\alpha }, i_{3S\alpha }\) :
-
Real parts of symmetrical stator current components
- \(i_{1R\lambda \alpha }, i_{3R\lambda \alpha }\) :
-
Real parts of symmetrical rotor current components
- \(R_{1R} ,L_{1\sigma R}\) :
-
Rotor resistance and leakage inductance of first harmonic rated to effective number of stator conductors
- \(\omega _\mathrm{m}\) :
-
Mechanical angular speed
- \(R_{3R} ,L_{3\sigma R}\) :
-
Resistance and leakage inductance rated to effective number of stator conductors for third wave
- \(i_{1S\beta }, i_{3S\beta }\) :
-
Imaginary parts of symmetrical stator current components
- \(i_{1R\lambda \beta }, i_{3R\lambda \beta }\) :
-
Imaginary parts of symmetrical rotor current components
- \(T_1 ,T_3\) :
-
Torques generated by first and third spatial harmonics of currents
- T :
-
Overall torque
- J :
-
Moment of inertia
- \(T_\mathrm{l}\) :
-
Load torque
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Acknowledgments
This work was supported by the Grant Agency of the Czech Republic under research Grant Nos. 13-35370S, 16-07795S and by the institutional support RVO 61388998.
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Schreier, L., Bendl, J. & Chomat, M. Operation of five-phase induction motor after loss of one phase of feeding source. Electr Eng 99, 9–18 (2017). https://doi.org/10.1007/s00202-016-0370-9
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DOI: https://doi.org/10.1007/s00202-016-0370-9