Mathematical model of transient processes of DC motor with permanent-magnet excitation

Permanet magnet DC motors ( PM DCM) have an advantage over electromagnetically excited commutator motors due to their better energy performance. The application of analytical methods to study PM DCM requires significant simplifications, and the use of field methods is quite labour-intensive. In our opinion, the use of electric and magnetic circuit methods makes it possible to achieve the accuracy of calculating the PM DCM that is sufficient for engineering needs. The purpose of the article is to develop a mathematical model of transient processes in PM DCM based on the use of the theory of electric and magnetic circuits. The article proposes an equivalent scheme for the magnetic circuit of PM DCM and a system of equations describing it. There are given equations for transient processes in PM DCM and an algorithm for their solution, which involves the integration of the solution of the system of equations of the magnetic state at each step. The proposed mathematical model of transient processes in PM DCM can be used to analyze these processes, as well as in design. 

  1. J.F. Gieras, Permanent magnet motor technology. Design and applications, CRC Press Taylor and Francis Group. London, New York, 2010. https://www.researchgate.net/file.PostFileLoader.html?id=5916ac245b49523d143b0c12&assetKey=AS%3A493445925924865%401494658084441
  2. P.N.Belyi, "Equations for designing embedded magnetoelectric disc motors”, Techniczna elektrodynamika,  no. 6, pp. 53-56, 2005. (Russian)
  3. H.V. Lazariev, Y.V. Rybka, M.O Reutskyj, A.A. Kriachok, and A.A. Shymanska, "Increase of maximum torque of special DC electric motors with permanent magnets", Visnyk National Technical University "KhPI", Elektrotekhnika i elektromekhanika, vol. 16, no. 2, 2020. (Ukrainian) http://vestnik2079-5459.khpi.edu.ua/article/view/283760https://doi.org/10.20998/2413-4295.2023.02.04
  4. N.P. Labbe, R. Andreux, J.-P. Yonnet, A. Vauquelin, and J.-P. Vilain, "Innovative permanent-magnet starter motors for automotive micro-hybrid applications", Electrical Machines (ICEM) 2014 International Conference. pp. 2436 – 2441, 2014.  https://doi.org/10.1109/ICELMACH.2014.6960528
  5. Daichi Takura, Kan Akatsu “Variable characteristics DC motor by changing brush lead angle to expand the operating range”, Power Electronics and ECCE Asia (ICPE-ECCE Asia) 2015, 9th International Conference, pp. 695-700, 2015. https://doi.org/10.1109/ICPE.2015.7167859
  6. V.S. Maliar, L.I. Hluchivskyi, A.V. Maliar, D.P. Hreczyn, and I.R. Havdo, "The magnetic circuit of a single-phase asynchronous engine with split poles", Energetika. Izvestija vysshych uczebnych zadevanij and energeticzeskich obedynenij SNH. Minsk, no. 3, p. 17-25, 2003. (Russian) 
  7. V.S. Maliar and I.R. Havdo, “Mathematical model of permanent magnets direct current motor” Computational Problems of Electrical Engineering, Lviv, no. 1, vol. 5, pp. 33-36, 2015.
  8. I.R.Havdo,  "Mathematical model of magnetic state of permanent magnet DC motor” Elektroenerhetyczni ta elektromechaniczni systemy, vol. 1, no. 1. pp. 10-16, 2019. (Ukrainian)  
  9. I.R.Havdo, “The magnetic field of a DC motor with excitation from permanent magnets”, Elektroenerhetyczni ta elektromechaniczni systemy, vol. 6, no. 1, pp. 31 – 37, 2023. (Ukrainian)
  10. M.A. Jatsun, Electric machines: Tutorial. – Lviv: Vydavnytstvo Natsionalnoho universytetu "Lvivska politechnika", 2004.(Ukrainian)
  11. R.V. Filts and N.N. Liabuk, Mathematical modeling of salient-pole synchronous machines, Lviv: Svit, 1991. (Russian)