# Науковий вісник НГУ

## Determining equivalent circuit parameters of induction motor with deep bar rotor using catalog data

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Authors:

V.F.Syvokobylenko, Dr. Sc. (Tech.), Prof., State Higher Educational Institution Donetsk National Technical University, Pokrovsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract:

Purpose. Development of the method for determining the equivalent circuit parameters of induction motor with deep bar rotor using catalog data.

Methodology. The methods of analysis, parameter identification, mathematical modeling, solving systems of nonlinear algebraic and differential equations are used.

Findings. The methods of taking into consideration the skin effect influence on rotor impedance are analyzed, which allowed adopting the rectangular cross-sectional shape of the rotor bar as a basis. Implication of two different heights for determination of rotor resistance and inductive reactance instead of one height is grounded. The analytical dependences for normalized heights are precised, where, in contrast to known approaches, these heights are determined as proportional to the slip in some unknown k degree, but not as proportional to square root of the slip. Method for selecting the variables of equivalent circuit and method for forming system of nonlinear equations for the numerical determining of variables values by the iterative method are proposed and investigated. The rotor resistance at rated slip, equivalent heights of the rectangular rotor bars, mutual inductance between stator and rotor, resistance of iron losses circuit and exponent for slip in the formula for determining the normalized height are accepted as variables. Using this method, the parameters of equivalent circuit for the deep bar induction motors of different types are calculated and their static characteristics are obtained. Calculated according to the equivalent circuit, the stator currents and moments coincided with the catalog data. The method of using the defined parameters of equivalent circuit for modeling start mode, short circuit and selfstart based on differential equations are presented.

Originality. For the first time during synthesis of the equivalent circuit parameters of the induction motor with deep bar rotor, the influence of the skin effect on the rotor impedance is suggested to be determined using not one, but two different heights of equivalent rectangular cross-section of the rotor bar, one for determining the resistance and the other for the inductive reactance.

Practical value. The proposed method for determining the equivalent circuit parameters of the induction motor with deep bar rotor the method for calculating of its static and dynamic characteristics is implemented as a program.

References

1. Voldek, A.I. and Popov, V.V., 2010. Electrical machines. Alternative current machines: textbook for institutes of higher education. St. Petersburg: Piter.

2. Moshinskiy, Yu.A., Bespalov, V.Ya. and Koriakin, A.A. Parameters of induction motor equivalent circuit estimation using catalogue data. Elektrichestvo, [online] Available at: <http://masters.donntu.org/2012/etf/sosedko/library/article3.pdf> [Accessed 11 May 20017].

3. Pedra J., 2008. On the determination of Induction Motor Parameters from Manufacturer Data for Electromagnetic Transient Programs. IEEE Transactions on Power Systems, 23(4), pp. 1709‒1718.

4. Sivokobylenko, V.F., Tkachenko, S.N. and Derkachev, S.V., 2014. Defining the parameters of equivalent circuits and the characteristics of asynchronous motors. Electrichestvo, 10, pp. 38‒44.

5. Varenik, E.A., Fedorov, M.M. and Dennik V.F., 2006. Defining the parameters of the equivalent circuit of the induction motor on the catalog data. In: Explosion-proof electrical equipment. Donetsk: UkrNIIVE-Donetsk, pp. 123‒127.

6. Boglietti, A., Cavagnino, A., Ferraris, L. and Lazza­ri, M., 2008. Induction motor equivalent circuit including the stray load losses in the machine power balance. IEEE Transaction on Energy Conversion, 23(3), pp. 796–803.

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 03_2017_Syvokobylenko 2017-07-23  1.34 MB  904

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### Registration data

ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.

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