Mathematical Modeling State Analysis of Multifunctional Energy Converters with a Solid Rotor


  • Mykola Zablodskiy National University of Life and Environmental Sciences of Ukraine
  • Vladyslav Pliuhin O.M. Beketov National University of Urban Economy in Kharkiv
  • Vitaliy Tietieriev O.M. Beketov National University of Urban Economy in Kharkiv
  • Oleg Synelnykov O.M. Beketov National University of Urban Economy in Kharkiv



energy converter, induction motor, solid rotor, eddy currents, mathematical model, transient modes


Multifunctional energy converters (MFEC) are induction motors with an external hollow solid rotor. Structurally, the MFEC is an electric machine in which the stator has the appearance of a conventional winding rotor and is located in a steel tube, which performs the functions of the rotor. In normal use for an electric motor, this design is inefficient due to significant losses in the solid rotor due to eddy currents. In the case of the MFEC, all losses go to the heating of the loose material that moves along the surface of the solid rotor, so the efficiency of the MFEC is very high. The non-standard design of the MFEC raises a number of questions regarding the calculation of such an electric machine and the mathematical modeling of transient modes: start-up in idle mode, start-up under load, operation during long-term parking under current, random load change during operation, etc. The complexity is caused by taking into account the given parameters of the solid rotor during the change of slip and currents. On the one hand, the currents in the rotor affect the parameters of the solid rotor, on the other hand, these currents cannot be calculated without determining the parameters of the rotor. In this regard, this paper aims to reveal problematic issues in mathematical modeling of transient modes of MFEC with a solid rotor and create a basis for further research in this direction.

Author Biographies

Mykola Zablodskiy, National University of Life and Environmental Sciences of Ukraine

D.Sc., Full Professor, Department of electric machines and exploitation of electrical equipment

Vladyslav Pliuhin, O.M. Beketov National University of Urban Economy in Kharkiv

D.Sc., Full Professor, the head of the department “Urban Electrical Energy Supply and Consumption Systems”

Vitaliy Tietieriev, O.M. Beketov National University of Urban Economy in Kharkiv

Postgraduate student, Department “Urban Electrical Energy Supply and Consumption Systems”

Oleg Synelnykov, O.M. Beketov National University of Urban Economy in Kharkiv

Postgraduate student, Department “Urban Electrical Energy Supply and Consumption Systems”


Gulbahce, M.O., Mcguiness, D.T., & Kocabas, D.A. (2018). Shielded axially slitted solid rotor design for high‐speed solid rotor induction motors. IET Electric Power Applications, 12(9), 1371–1377.

Fan, Z., Yi, H., Xu, J., Xie, K., Qi, Y., Ren, S., & Wang, H. (2021). Performance study and optimization design of high-speed amorphous alloy induction motor. Energies, 14(9), 2468.

Ochman, A., Chen, W.Q., Błasiak, P., Pomorski, M., & Pietrowicz, S. (2021). The use of capsuled paraffin wax in low-temperature thermal energy storage applications: An experimental and numerical investigation. Energies, 14(3), 538.

Shynkarenko, V., Gaidaienko, I., & Al-Husban, A.N. (2014). Decoding and functional analysis of genetic programs of hybrid electromechanical structures. Modern Applied Science, 8(2), 36–48.

Nikolaj, Z., Vladyslav, P., Stanislav, F., & Jiri, L. (2013). Dynamic simulation of the double-stator induc-tion electromechanical converter with ferromagnetic rotor. In 4th International Conference on Power Engineering, Energy and Electrical Drives (pp. 1448–1453). IEEE.

Zablodskij, N., Pliugin, V., & Gritsyuk, V. (2014). Submersible electromechanical transformers for energy ef-ficient technologies of oil extraction. In Progressive Technol-ogies of Coal, Coalbed Methane, and Ores Mining (pp. 235–240). CRC Press.

Zablodskiy, M., Gritsyuk, V., Pliuhin, V., & Bi-letskyi, I. (2021). The surface characteristics features of the electromagnetic field of the rotor of a polyfunctional electromechanical converter. In 2021 International Confer-ence on Electrical, Computer, Communications and Mechatron-ics Engineering (ICECCME) (pp. 1–5). IEEE.

Tsegelnyk, Y., Pliuhin, V., Tietieriev, V., Duniev, O., & Yehorov, A. (2022). Electromechanical Energy Con-verter Imitation Model in SciLab. Lighting Engineering & Power Engineering, 61(2), 65–73.

Yan, G., Jin, Z., Yang, M., & Yao, B. (2021). The thermal balance temperature field of the electro-hydraulic servo pump control system. Energies, 14(5), 1364.

Mansoor, G., & Che, Y. (2023). Experimental de-sign of an innovative electromechanical system for in-duction heating-based air heating: exploring tempera-ture dynamics and energy efficiency. Energies, 16(22), 7573.

Okazaki, T. (2020). Electric thermal energy storage and advantage of rotating heater having synchronous inertia. Renewable Energy, 151, 563–574.

Rechenbach, B., Willatzen, M., & Lassen, B. (2016). Theoretical study of the electromechanical efficiency of a loaded tubular dielectric elastomer actuator. Applied Mathematical Modelling, 40(2), 1232–1246.

Breido, J., Zyuzev, A., & Kalinin, A. (2017). Meth-ods of studying electric-hydrodynamic heater. Energy Procedia, 128, 59–65.

Biehs, S.A., & Ben-Abdallah, P. (2017). Near-field heat transfer between multilayer hyperbolic metamate-rials. Zeitschrift für Naturforschung A, 72(2), 115–127.

Chaudhary, V., & Ramanujan, R.V. (2014). Iron ox-ide-based magnetic nanoparticles for high temperature span magnetocaloric applications. MRS Proceedings, 1708, mrss14-1708-vv10-08.

Yu, R., Chen, C., Wang, G., Liu, G., Wang, S., Hu, X., ... & Zhang, L. (2021). Influence of different heater structures on the temperature field of AlN crystal growth by resistance heating. Materials, 14(23), 7441.

Zabashta, Y.F., Kovalchuk, V.I., & Bulavin, L.A. (2021). Kinetics of the first-order phase transition in a varying temperature field. Ukrainian Journal of Physics, 66(11), 978–982.

Gomez, H., Bures, M., & Moure, A. (2019). A re-view on computational modelling of phase-transition problems. Philosophical Transactions of the Royal Society A, 377(2143), 20180203.

Hu, Z., Saei, M., Tong, G., Lin, D., Nian, Q., Hu, Y., ... & Cheng, G.J. (2016). Numerical simulation of tem-perature field distribution for laser sintering graphene reinforced nickel matrix nanocomposites. Journal of Alloys and Compounds, 688, 438–448.

Dutil, Y., Rousse, D.R., Salah, N.B., Lassue, S., & Zalewski, L. (2011). A review on phase-change materials: Mathematical modeling and simulations. Renewable and Sustainable Energy Reviews, 15(1), 112–130.

Sun, G., Sun, D., Ma, K., Kan, Y., & Shi, J. (2022). Analysis and control of engine starting process based on a novel single-motor power-reflux hybrid electric vehi-cle. Mechanism and Machine Theory, 168, 104616.

Kucuk, S., & Ajder, A. (2022). Analytical voltage drop calculations during direct on line motor starting: Solutions for industrial plants. Ain Shams Engineering Journal, 13(4), 101671.

Höpner, V.N., & Wilhelm, V.E. (2021). Insulation life span of low-voltage electric motors – A survey. Ener-gies, 14(6), 1738.

Li, Z., Che, S., Zhao, H., Zhang, L., Wang, P., Du, S., ... & Sun, H. (2023). Loss analysis of high-speed per-manent magnet motor based on energy saving and emis-sion reduction. Energy Reports, 9, 2379–2394.

Tayeb, N.T., Hossain, S., Khan, A.H., Mostefa, T., & Kim, K.Y. (2022). Evaluation of hydrodynamic and thermal behaviour of non-newtonian-nanofluid mixing in a chaotic micromixer. Micromachines, 13(6), 933.

Abdolahzadeh, M., Tayebi, A., & Omidvar, P. (2019). Mixing process of two-phase non-newtonian flu-ids in 2D using smoothed particle hydrodynamics. Com-puters & Mathematics with Applications, 78(1), 110–122.

Wang, X., Li, B., Gerada, D., Huang, K., Stone, I., Worrall, S., & Yan, Y. (2022). A critical review on thermal management technologies for motors in electric cars. Applied Thermal Engineering, 201, 117758.

Lucas, S., Marian, R., Lucas, M., Bari, S., Ogunwa, T., & Chahl, J. (2022). Research in life extension of electri-cal motors by controlling the impact of the environment through employing Peltier effect. Energies, 15(20), 7659.

Wallscheid, O. (2021). Thermal monitoring of electric motors: State-of-the-art review and future chal-lenges. IEEE Open Journal of Industry Applications, 2, 204–223.

Hussain, S., & Ayub, M. (2020). EM-wave diffrac-tion by a finite plate with Neumann conditions im-mersed in cold plasma. Plasma Physics Reports, 46, 402–409.

Ledger, P.D., Peraire, J., Morgan, K., Hassan, O., & Weatherill, N.P. (2004). Parameterised electromagnetic scattering solutions for a range of incident wave angles. Computer Methods in Applied Mechanics and Engineering, 193(33), 3587–3605.

Refaie Ali, A., Eldabe, N.T.M., El Naby, A.A., Ib-rahim, M., & Abo-Seida, O.M. (2023). EM wave propaga-tion within plasma-filled rectangular waveguide using fractional space and LFD. The European Physical Journal Special Topics, 232(14), 2531–2537.

Dikun, J., Jankunas, V., Guseinoviene, E., Galdikas, L., & Akinci, T.C. (2015). Effects of weather conditions on electromagnetic field parameters. In 2015 Tenth Interna-tional Conference On Ecological Vehicles and Renewable Ener-gies (EVER) (pp. 1–7). IEEE.




How to Cite

Zablodskiy, M., Pliuhin, V., Tietieriev, V., & Synelnykov, O. (2023). Mathematical Modeling State Analysis of Multifunctional Energy Converters with a Solid Rotor. Lighting Engineering & Power Engineering, 62(3), 79–85.