Mathematical model of single-phase induction motors with auxiliary winding resistance

• Autorzy: Malyar V. , Malyar A.

Identyfikatory

DOI

10.15199/48.2018.12.08

Warianty tytułu

PL

Model matematyczny jednofazowego silnika indukcyjnego z pomocniczym uzwojeniem

• Języki publikacji: EN

Abstrakty

EN

A method and algorithm for computing static curves of single-phase induction motors with an auxiliary winding resistance are proposed. The method relies on a mathematical model of the induction motor that takes into account the magnetic path saturation and current displacement in the rotor bars. The problem is solved as a boundary-value one for the system of differential equations describing the processes in the motor in the differential coordinates axes.

PL

Opisano metodę I algorytm oblicznia zależności statycznej jednofazowego silnika indukcyjnego z pomocniczym uzwojeniem. W modelu matematycznym uwzględniono nasycanie sie obowdu magnetycznego I rozkład prądu w prętach wirnika.

Słowa kluczowe

EN

Induction motor; single-phase power supply; start winding; mathematical model; boundary-value problem; static curve

PL

silnik indukcyjny; uzwojenia startowe; model matematyczny

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2018
• Tom: R. 94, nr 12
• Strony: 33--37
• Opis fizyczny: Bibliogr. 20 poz., rys.

Twórcy

autor

Malyar V.

• Lviv Polytechnic National University, Institute of Power Engineering and Control Systems, 12 Bandera Str., Lviv, 79013, Ukraine

autor

Malyar A.

• Lviv Polytechnic National University, Institute of Power Engineering and Control Systems, 12 Bandera Str., Lviv, 79013, Ukraine

Bibliografia

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• [3] Usoltsev, A.A. Electrical machines: study guide: St. Petesburg: National Research University of Information Technologies, Mechanics and Optics, 2013. – 416 p. [in Russian]
• [4] Moshchinskiy, Yu.A., Petrov, A.P. Analysis of the connection diagrams of three-phase induction motors powered from a single-phase network // Electrichestvo Journal, 1999, No 9. pp. 40-41. [in Russian]
• [5] Moshchinskiy, Yu.A., Bessmertnykh, N.A. Mathematical model of the single-phase induction motor with the starting resistance // Electrichestvo Journal, 1997, No 1. pp. 33-38. - in Russian
• [6] Malyar V., Hamola O., Maday V., Vasylchyshyn I. Mathematical Modeling of Processes in Asynchronous Motors with Capacitors Connected in Series / V. Malyar // Proceedings of 2015, 16th International Conference on Computational Problems of Electrical Engineering (CPEE), September 2-5, 2015, Lviv, Ukraine. – pp. 107-109.
• [7] Vasyl Malyar, Petro Stachiw. Generation of a circular magnetic field in a three-phase asynchronous motor at singlephase power supply // Computational Problems of Electrical Engineering. –Vol. 6. – No 2. –2016. – pp. 99–102.
• [8] Moshchinskiy, B.A., Petrov, A.P. Mathematical model of the induction capacitor motor using the method of symmetrical components and packaged software // Electrichestvo Journal. – 2001. – No 7. – pp. 43–48. [in Russian]
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• [13] Malyar, V.S., Malyar, A.V. Steady-state operation modes and static curves of a three-phase induction motor powered from a single-phase network // Energetika. Proceedings of CIS high educations institutions. – Vol. 59, No 6 (2016). – pp. 536–548. [in Russian]
• [14] Filts, R.V., Onyshko, E.A., Plakhtyna, E.H. An algorithm for computing transients in an induction motor taking into consderaton saturation and displacement of current // Preobrazovatieli chastoty dlia electroprivoda. – Chisinau: Stiinta. – 1979. – pp. 11–22. [in Russian]
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• [18] Petro Stachiw, Vasyl Malyar, Iryna Dobuchovska. Effective algorithm of calculating the static modes of nonlinear electromagnetic circuits // Computational Problems of Electrical Engineering. –Vol. 3. – No 2. –2013. – pp. 107–112.
• [19] Yakovlev, M.N. To the issue of solving systems of non-linear equations by means of differentiating with respect to the parameter // Zhurnal Vychislitelnoy Matematiki I Matematicheskoy Fiziki, Vol. 4. – 1964. – No 1. – pp. 146–149. [in Russian]
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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).