Contents
A new method of equivalent circuit parameters evaluation for induction motor with solid rotor, based on the recorded waveform of decaying of the direct current in the stator winding has been presented. The rotor electric circuit is replaced by a frequency-dependent circuit, represented by a synthetic time constantT e, the resistanceR k and the inductanceL kσ with constant values. This leads to an approximation of the recorded waveform of decaying of the direct current by a function being a sum of decaying components of the type\(\exp (\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{z} ^2 t)erfc(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{z} \sqrt t )\). To assess the correctness of determined parameters the characteristics obtained on the base of equivalent circuit parameters have been compared with the waveforms determined in the experimental way. Close convergence of the results obtained shows that the proposed method is useful for determining the parameters of equivalent circuit of induction motor with solid rotor.
Zusammenfassung
In der Arbeit wurde eine neue Methode der Parameterbestimmung eines Ersatzschaltbildes des Induktionsmotors mit massivem Rotor aufgrund des gemessenen Verlaufs des abklingenden Gleichstroms in der Statorwicklung vorgestellt. Der Rotor wurde mit Hilfe von Parametern dargestellt, die abhängig von der Frequenz, repräsentiert durch eine synthetische ZeitkonstanteT e, durch den WiderstandR k und die InduktivitätL kσ mit konstanten Werten sind. Diese führt zur Approximierung des gemessenen Verlaufs des abklingenden Gleichstroms mit der Summe der abklingenden Komponenten\(\exp (\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{z} ^2 t)erfc(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{z} \sqrt t )\). Zur Beurteilung der Genauigkeit der ermittelten Parameter wurden die erhaltenen Characteristiken mittels Parameter des Ersatzschaltbildes mit den auf dem Meßwege bestimmten Verläufen verglichen. Eine gute Konvergenz der erhaltenen Ergebnisse beweist die Brauchbarkeit der vorgeschlagenen Methode zum Parametrisieren des Ersatzschaltbildes des Induktionsmotors mit massivem Rotor.
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Abbreviations
- f :
-
electric frequency
- I :
-
current
- \(j = \sqrt { - 1} \) :
-
current
- p :
-
Laplace operator
- R, L :
-
resistance, inductance
- \(q = \sqrt p \) :
-
resistance, inductance
- s :
-
slip
- T :
-
time constant
- T e :
-
synthetic time constant
- t :
-
time
- U :
-
voltage
- Z :
-
impedance
- σ:
-
leakage coefficient
- Ψ:
-
flux linkage
- ω:
-
rotor electrical angular speed, ω1(1-s)
- ω1 :
-
electric synchronous angular speed, 2πf 1
- \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{Q} \) :
-
amplitude of complex quantity,Qejϕ
- k:
-
parameters of rotor circuit with constant values
- μ:
-
magnetisation
- σ:
-
leakage
- l:
-
stator
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Nadolski, R., Staszak, J. Evaluation of parameters of induction motor with solid rotor using the method of direct current decay. Electrical Engineering 81, 177–181 (1998). https://doi.org/10.1007/BF01236237
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DOI: https://doi.org/10.1007/BF01236237