Universal mathematical model of asynchronous machine as an element microgrid in smart grid

: pp. 444–453
Received: March 19, 2021
Revised: June 01, 2021
Accepted: June 06, 2021

Mathematical Modeling and Computing, Vol. 8, No. 3, pp. 444–453 (2021)

Lviv Polytechnic National University
Lviv Polytechnic National University
Institute of Applied Mathematics and Fundamental Sciences, Lviv Polytechnic National University

An universal mathematical model of an induction machine (IM) has been constructed, taking into account the saturation of the main magnetic circuit of its magnetic core and the active power losses.  The proposed approach to IM modeling expands the abilities of MATLAB / Simulink environment for analysis of the electric power supply systems (microgrid in the smart grid) with the nonlinear elements and dynamic load in abnormal, asymmetric and fault regimes.

  1. Filts R. V.  Mathematical Foundations of Theory of Electromekhanical Converters.  Kyiv, Naukova dumka (1979), (in Ukraine).
  2. Ahuja R. Kr., Verma S.  Modeling and simulation of three-phase induction machine in stationary reference frame using MATLAB/Simulink.  International Journal of Advance Research In Science And Engineering. 2 (10), 212–218 (2013).
  3. Sandhu K. S., Pahwa V.  Simulation study of three-phase induction motor with variations in moment of inertia.  ARPN Journal of Engineering and Applied Sciences. 4 (6), 72–77 (2009).
  4. Yiming Li, Yuebin W., Quanfeng Y., Wei H.  Modeling and Simulation of Asynchronous Motor in $\alpha$  $\beta $ Coordinate System Based on Matlab.  Proceedings 2012 of the 2nd International Conference on Computer and Information Application (ICCIA 2012), p. 4 (2012).
  5. Ansari A. A., Deshpande D. M.  Mathematical Model of Asynchronous Machine in MATLAB/Simulink.  International Journal of Engineering Science and Technology. 2 (5), 1260–1267 (2010).
  6. Dimitrovski R., Luther M.  Modeling and Simulation of an induction machine in the abc-reference frame using inversion of a matrix by partitioning.  International Conference on Renewable Energies and Power Quality (ICREPQ'16), Madrid (Spain). 79–83 (2016).
  7. Deb P. B., Sarkar S.  Dynamic model analysis of three phase induction motor using MATLAB/Simulink.  International Journal of Scientific & Engineering Research. 7 (3), 572–577 (2016).
  8. Gogolyuk P., Grechyn T., Ravlyk A., Grinberg I.  Mathematical modeling and simulation of transients in power distribution systems with valve devices and dynamic loading.  Proceedings 2003  IEEE Power Engineering Society General Meeting. 1580–1585 (2003).
  9. Gogolyuk P., Zhovnir Y., Grinberg I.  Mathematical modeling of electric power distribution systems for electrical drives of oil wells displacement pump.  Proceedings 2006  IEEE Power Engineering Society Transmission and Distribution Conference. 197–201 (2006).
  10. Hoholyuk O., Gogolyuk P., Balatska L.  Improved mathematical model for analysis of low-frequency electromagnetic processes in transformers.  Proceedings of 2020 IEEE 21-st International Conference on Computational Problems of Electrical Engineering, CPEE 2020, p. 4 (2020).
  11. Saghafinia A., Baloi A.  MATLAB Professional Applications in Power System (2018).
  12. Levy P.  Simulating Power Systems Using Matlab and Simulink.  CreateSpace Independent Publishing Platform (2016).
  13. Klee H., Allen R.  Simulation of Dynamic Systems with MATLAB and Simulink.  New York, CRC Press (2011).