Araştırma Makalesi
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A Variational Problem for the Power Factor in Capacitance Charging Process

Yıl 2023, , 98 - 101, 31.12.2023
https://doi.org/10.55581/ejeas.1375193

Öz

In this study, the solution of a variational problem that allows determining the input voltage form that provides the maximum power factor of the battery charging process in the RLC circuit and the change character of the charging current for constant R, L, C and charging time has been examined. The defined problem is obtained and solved in the form of a linear integro-differential equation. A quadratic voltage criterion is proposed to analyze the convergence of the power factor to its maximum value for various modes of charging the battery.

Kaynakça

  • Jiang, C., Wang, S., Wu, B., Fernandez, C., Xiong, X., & Coffie-Ken, J. (2021). A state-of-charge estimation method of the power lithium-ion battery in complex conditions based on adaptive square root extended Kalman filter. Energy, 219, 119603.
  • Perez, H. E., Hu, X., Dey, S., & Moura, S. J. (2017). Optimal charging of Li-ion batteries with coupled electro-thermal-aging dynamics. IEEE Transactions on Vehicular Technology, 66 (9), 7761-7770.
  • Pontryagin L.S., Boltianski V., Gamkrelidze R., and. Mitchtchenko E. (1962). The Mathematical Theory of Optimal Processes, John Wiley and Sons, New York.
  • Mumford, D. B., & Shah, J. (1989). Optimal approximations by piecewise smooth functions and associated variational problems. Communications on pure and applied mathematics.
  • Sethi S. P., and Thompson G. L. (2000). Optimal Control Theory: Applications to Management Science and Economics, Kluwer, Boston, 2nd edition.
  • Sotskov A.I., Kolesnik G.V. (2002). Optimal Control: Problems and Solutions. Moscow, New Econ.School,58 p.
  • Jost, J.; Li-Jost, X. (2003) Calculus of Variations. Cambridge University Press.
  • Troutman, J. L. (2012). Variational calculus with elementary convexity. Springer Science & Business Media.
  • Alisoy, H. Z., Alisoy, G. T., Keleş, C., Deniz, F. N., Işık, İ., & İçel, Y. (2013).Darbe generatörünün maksimum enerjisi hakkında varyasyonel problem. İnönü Üniversitesi Malatya.TOK.
  • Clarke F. (2013) Functional Analysis, Calculus of Variations and Optimal Control. Springer.
  • Noton, A. R. M. (2013). Introduction to variational methods in control engineering. Elsevier.

Kapasitans Şarj İşleminde Güç Faktörü İçin Varyasyonel Problem

Yıl 2023, , 98 - 101, 31.12.2023
https://doi.org/10.55581/ejeas.1375193

Öz

Bu çalışmada, sabit R, L, C ve şarj süresi için, R L C devresindeki batarya şarj işleminin maksimum güç faktörünü sağlayan giriş voltajı formunu ve şarj akımının değişim karakterini belirlemeye olanak sağlayan bir varyasyonel problemin çözümü incelenmiştir. Tanımlanan problem, lineer bir integro-diferansiyel denklem biçiminde elde edilir ve çözülür. Bataryanın şarj etmenin çeşitli modları için, güç faktörünün maksimum değerine yakınsamasının analizi için ikinci dereceden bir voltaj kriteri önerilmiştir.

Kaynakça

  • Jiang, C., Wang, S., Wu, B., Fernandez, C., Xiong, X., & Coffie-Ken, J. (2021). A state-of-charge estimation method of the power lithium-ion battery in complex conditions based on adaptive square root extended Kalman filter. Energy, 219, 119603.
  • Perez, H. E., Hu, X., Dey, S., & Moura, S. J. (2017). Optimal charging of Li-ion batteries with coupled electro-thermal-aging dynamics. IEEE Transactions on Vehicular Technology, 66 (9), 7761-7770.
  • Pontryagin L.S., Boltianski V., Gamkrelidze R., and. Mitchtchenko E. (1962). The Mathematical Theory of Optimal Processes, John Wiley and Sons, New York.
  • Mumford, D. B., & Shah, J. (1989). Optimal approximations by piecewise smooth functions and associated variational problems. Communications on pure and applied mathematics.
  • Sethi S. P., and Thompson G. L. (2000). Optimal Control Theory: Applications to Management Science and Economics, Kluwer, Boston, 2nd edition.
  • Sotskov A.I., Kolesnik G.V. (2002). Optimal Control: Problems and Solutions. Moscow, New Econ.School,58 p.
  • Jost, J.; Li-Jost, X. (2003) Calculus of Variations. Cambridge University Press.
  • Troutman, J. L. (2012). Variational calculus with elementary convexity. Springer Science & Business Media.
  • Alisoy, H. Z., Alisoy, G. T., Keleş, C., Deniz, F. N., Işık, İ., & İçel, Y. (2013).Darbe generatörünün maksimum enerjisi hakkında varyasyonel problem. İnönü Üniversitesi Malatya.TOK.
  • Clarke F. (2013) Functional Analysis, Calculus of Variations and Optimal Control. Springer.
  • Noton, A. R. M. (2013). Introduction to variational methods in control engineering. Elsevier.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Kontrol Teorisi ve Uygulamaları
Bölüm Araştırma Makaleleri
Yazarlar

Hafiz Alisoy 0000-0003-4374-9559

Gülizar Alisoy 0000-0003-2114-6669

Mahir Yasar 0000-0001-9672-2080

Selcen Akıncı 0000-0002-7710-2836

Gizem Büşra Gök 0000-0001-7573-8956

Mohammadreza Masoumisoureh 0000-0002-3015-2764

Erken Görünüm Tarihi 30 Aralık 2023
Yayımlanma Tarihi 31 Aralık 2023
Gönderilme Tarihi 12 Ekim 2023
Kabul Tarihi 21 Kasım 2023
Yayımlandığı Sayı Yıl 2023