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2019 | Vol. 68, nr 2 | 227--235
Tytuł artykułu

Voltage modelling in ignition coil using magnetic coupling of fractional order

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper discusses the modelling of magnetic coupling in ignition coils by fractional differential equations. The use of fractional-order coupling allows us to consider the losses caused by the non-linearity of the ferromagnetic core of the ignition coil and obtain the waveform of the ignition coil’s secondary voltage closest to the values obtained experimentally.
Wydawca

Rocznik
Strony
227--235
Opis fizyczny
Bibliogr. 20 poz., rys., wz.
Twórcy
Bibliografia
  • [1] Herner A., Herner A., Riehl H.J., Electrotechnics and Electronics in Motor Vehicles (in Polish) (2003).
  • [2] Różowicz S., Tofil S., The influence of impurities on the operation of selected fuel ignition systems in combustion engines, Archives of Electrical Engineering, vol. 65, no. 2, pp. 349–360 (2016).
  • [3] Stone C., Brown A., Beckwith P., Cycle-by-cycle variations in spark ignition engine combustion – part II: modelling of flame kernel displacements as a cause of cycle-by-cycle variations, SAE paper 960613 (1996).
  • [4] Zawadzki A., Różowicz S., Application of input – state of the system transformation for linearization of some nonlinear generators, International Journal of Control, Automation and Systems, vol. 13, no. 3, pp. 1–8 (2015), DOI: 10.1007/s12555-014-0026-3.
  • [5] Schäfer I., Krüger K., Modelling of lossy coil using fractional derivatives, Journal of Physics D: Applied Physics, vol. 41, pp. 1–8 (2008).
  • [6] Vorperian V., A fractal model of anomalous losses in ferromagnetic materials, 23rd Annual IEEE Power Electronics Specialists Conference, MAG-28, pp. 1277–1283 (1992).
  • [7] Zawadzki A., Różowicz S., Application of input-state of the system transformation for linearization of selected electrical circuits, Journal of Electrical Engineering (Elektrotechnicky Casopis), vol. 67, no. 3, pp. 199–205 (2016).
  • [8] Ostalczyk P., Elements of Fractional Calculus, Publishing House of Łódź University of Technolgy (in Polish) (2008).
  • [9] Kaczorek T., Rogowski K., Fractional Linear Systems and Electrical Circuits, Białystok University of Technology (2014).
  • [10] Khovanskii A. N., The application of continued fractions and their generalizations to problems in approximation theory, Noordhoff, The Netherlands (1963).
  • [11] Różowicz S., Influence of fuel impurities on the consumption of electrodes in spark plugs, Open Physics, vol. 16, iss. 1, pp. 57–62 (2018).
  • [12] Krishna B. T., Studies on fractional order differentiators and integrators: A survey, Signal Processing 91, pp. 386–426 (2011).
  • [13] Oustaloup A., Levron F., Mathieu B., Nanot F. M., Frequency-band complex no integer differentiator: characterization and synthesis, EEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 47, iss. 1, pp. 25–39 (2000).
  • [14] Różowicz S., The effect of different ignition cables on spark plug durability, Przegląd Elektrotechniczny, vol. 94, iss. 4, pp. 191–195 (2018).
  • [15] Marushak Y., Kopchak B., Analysis of Models of Fractional Integration and Differentiation (in Polish), Elektrotechnika 34, vol. 2, pp. 213–222 (2015).
  • [16] Tarimer J. A., Arslan S., Guwen M. E., Investigation for Losses of M19 and Amorphous Core Materials Asynchronous Motor by Finite Elements Methods, Elektronika Ir Elektrotechnika, vol. 18, no. 9, pp. 15–18 (2012), DOI: http://dx.doi.org/10.5755/j01.eee.18.9.2797.
  • [17] Tarimer J. A., Guwen M. E., Arslan S., Computer Aided Design of An Electromagnetic Ignition Coil For High Speed Benzene Engines, Przegląd Elektrotechniczny, vol. 87, pp. 230–236 (2011), http://pe.org.pl/articles/2011/2/51.
  • [18] Zawadzki A., Włodarczyk M., CFE method-utility analysis of the approximation of reverse Laplace transform of fractional order, IC SPETO, pp. 45–46 (2015).
  • [19] Baranowski J., Bauer W., Zagórowska M., Dziwiński T., Piątek P., Time-domain Oustaloup approximation, Conference paper, Methods and Models in Automation and Robotics (MMAR), 20th International Conference on Międzyzdroje, Poland (2015), DOI: 10.1109/MMAR.2015.7283857.
  • [20] Latawiec K. J., Stanisławski R., Łukaniszyn M., Czuwara W., Rydel M., Fractional-order modeling of electric circuits: modern empiricism vs. classical science, Progress in Applied Electrical Engineering (PAEE) (2017), 10.1109/PAEE.2017.8008998.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-2666f96e-62c8-48b8-a733-2f26f3c7317c
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