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Approximation of electromagnetic force axial distribution in “single excitation coil – permanent magnet runner” module based on modified Kloss function

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Języki publikacji
EN
Abstrakty
EN
An elementary part of various electromagnetic devices or linear electric machines is a module consisting of an excitation coil and a permanent magnet (PM runner). The electromagnetic force axial distribution in this “single excitation coil – PM runner” module is usually determined by numerical field calculations at discrete runner positions. When solving the mathematical model, a table containing discrete values of the electromagnetic force axial distribution is usually used (the so-called lookup table). The authors of this article decided to find a simple analytic function that approximates the calculated discrete electromagnetic force function with technically sufficient accuracy and the smallest possible number of coefficients. After many attempts, they proposed the modified Kloss function with 2 coefficients denoted as S’ and M’ ,the values of which for the best approximation have to be determined using the optimization algorithm e.g. the Hooke–Jeeves algorithm. This analytical function reflects perfectly the nature of the discrete electromagnetic force axial distribution determined by the numerical field calculations and approximates the discrete function with fully satisfactory accuracy.
Rocznik
Strony
1013--1023
Opis fizyczny
Bibliogr 14 poz., rys., tab., wykr., wz.
Twórcy
  • Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland
  • Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland
Bibliografia
  • [1] Barba P.D., Savini A., Wiak S., Field models in electricity and magnetism, Springer (2008), DOI: 10.1007/978-1-4020-6843-0.
  • [2] Bartel S., Kluszczyński K., Pilch Z., Concept of electromagnetic periodical duty pump with programmable liquid flow, 15th Selected Issues of Electrical Engineering and Electronics, Zakopane, Poland (2019), DOI: 10.1109/WZEE48932.2019.8979673.
  • [3] Bartel S., Kluszczyński K., The problem of choosing the optimal ratio: height to length of excitation coil in linear cylindrical PM synchronous motors, Przegląd Elektrotechniczny (in Polish), vol. 248, no. 2, pp. 1–7 (2023), DOI: 10.15199/48.2024.02.10.
  • [4] Bartel S., Kluszczyński K., Pilch Z., The Influence of a Linear Steel Screw and a Linear Nylon Screw Upon Measuring Electromagnetic Force in a Cylindrical PM Synchronous Motor, 2023 Progress in Applied Electrical Engineering (PAEE), Koscielisko, Poland, pp. 1–4 (2023), DOI: 10.1109/PAEE59932.2023.10244562.
  • [5] Bernat J., Kołota J., St˛epień G., Szymański G., An inductance lookup table application for analysis of reluctance stepper motor model, Archives of Electrical Engineering, vol. 60, no. 1 (2011), DOI: 10.2478/v10171-011-0002-y.
  • [6] Domin J., Kluszczyński K., Hybrid pneumatic-electromagnetic launcher – general concept, mathematical model and results of simulation, Przegląd Elektrotechniczny, R. 89, no. 12, pp. 21–25 (2013).
  • [7] Glinka T., Permanent magnet induction electric machines, Wydawnictwo WNT (in Polish) (2018).
  • [8] Kluszczyński K., Kciuk M., Analytical description of SMA actuator dynamics based on Fermi– Dirac function, Acta Physica Polonica Series A, vol. 131, no. 5, pp. 1274–1279 (2017), DOI: 10.12693/APhysPolA.131.1274.
  • [9] Wiak S., Napieralska-Juszczak E., Computer field models of electromagnetic devices, IOS Press BV (2010).
  • [10] Laithwaite E.R., Linear electric motors, Mills & Boon Limited (1971).
  • [11] Pawluk K., Szczepański W., Electric linear motors, Wydawnictwa Naukowo-Techniczne (in Polish) (1974).
  • [12] Gieras J.F., Shen J.X., Modern permanent magnet electric machines: theory and control, CRC Press – Taylor and Francis Group (2023), DOI: 10.1201/9781003103073.
  • [13] Pawlak A.M., Sensors and Actuators in Mechatronics: Design and Applications, CRC Press (2007), DOI: 10.1201/9781315221632.
  • [14] Loic Q., Ohsaki H., Nonlinear abc-Model for Electrical Machines Using N-D Lookup tables, IEEE Transactions on Energy Conversion, vol. 30, iss. 1 (2015), DOI: 10.1109/TEC.2014.2358854.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7b41a437-43c6-403a-8bc7-178aef862a50
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