Dergiler / Istanbul University Journal of Electrical and Electronics Engineering / 2011 / Cilt: 11 - Sayı: 2

Practical synthesis of irrational impedance based on solutions of the quadratic equation

Sayfa
1391–1398
Yayın Tarihi
2022-10-18
DOI
—
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Furthermore, it was found that the lattice network performance had impedance close to the expected one but in parallel with a capacity.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This article presents the rational approximations of recursively obtained so- lutions of the quadratic equation which lead to networks with lattice or tree structure.
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Temel Bulgular & Veri:The impedance of a similar electrical circuit, composed of resistors and capacitors, has a module, depending on the square root of the frequency and its phase is equivalent to -45o.
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Sonuç & Katkı:Furthermore, it was found that the lattice network performance had impedance close to the expected one but in parallel with a capacity.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

This article presents the rational approximations of recursively obtained so- lutions of the quadratic equation which lead to networks with lattice or tree structure. The impedance of a similar electrical circuit, composed of resistors and capacitors, has a module, depending on the square root of the frequency and its phase is equivalent to -45o. After considering the effect that the number of elements and their tolerances have on the accuracy of the impedance function of the networks, an eight section lattice cascade was constructed. The deviation between the theoretically and experimentally obtained magnitude and phase characteristics of such a device in the frequency interval 0,05÷1MHz did not exceed -1,2% and -1,3o respectively. Furthermore, it was found that the lattice network performance had impedance close to the expected one but in parallel with a capacity.

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Bu Makaleye Atıf Yap

NIKOVZKI, P. (2022). Practical synthesis of irrational impedance based on solutions of the quadratic equation. Istanbul University Journal of Electrical and Electronics Engineering, Cilt: 11 - Sayı: 2, 1391–1398. https://ajindex.com/articles/543700

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Kaynakça (15)

  1. B. Vinagre, I. Podlubny, A. Hernandez, „Some approximations of fractional order operators used in control theory and applications”, Fractional Calculus and Applied Analysis, Vol. 3, No. 3, pp.231–248, 2000
  2. A. Djouambi, A. Charef, A. Besançon1, „Ap- proximation and synthesis of non integer order systems“, 2nd IFAC Workshop on Fractional Differentiation and its Applications, Porto, Portugal, pp.1-4, 2006
  3. B. Krishna, Reddy K., “Active and passive realization of fractance device of order 1/2”, Journal of Active and Passive Electronic Com- ponents, vol. 2008, p.5, 2008
  4. L. Dorčák1, J. Terpák1, I. Petráš1, F. Dorčáková, “Electronic realization of the fractional-order systems”, Acta Montanistica Slovaca, vol.12, pp.231-237, 2007
  5. A. Djouambi, A. Charef, A. Besançon1, “Op- timal approximation, simulation and analog realization of the fundamental fractional order transfer function”, Int. J. Appl. Math. Comput. Sci., vol.17, No.4, p.455–462, 2007
  6. A. Charef, “Modeling and analog realization of the fundamental linear fractional order differ- ential equation”, Nonlinear Dynamics, vol.46, pp.195-210, 2006
  7. P. Sotiriadis, Y. Tsividis, “Integrators using a single distributed RC element”, IEEE Interna- tional Symposium on Circuits and Systems, Arizona, USA, vol.2, pp.21-24, 2002
  8. A. Radwan, A. Soliman, A. Elwakil, „First order filters generalized to the fractional doma- in“, Journal of Circuits Systems & Computers, vol.17, pp.55-66, 2008
  9. M. Lima, J. Machado, M. Crisostomo, „Ex- perimental signal analysis of robot impacts in a fractional calculus perspective“, Journal of Advanced Computational Intelligence and Intelligent Informatics, vol.11, No.9, pp.1079– 1085, 2007
  10. I. Podlubny, „Fractional-order systems and fractional-order controllers“, Slovak Academy of Sciences, Slovakia, UEF-02-94, 1994
  11. F. Soulier, P. Lagonotte, „Modeling distribu- ted parameter systems with discrete element networks“, Proceedings of 15th International Symposium on the Mathematical Theory of Networks and Systems, University of Notre Dame, Indiana, USA, p.7, 2002
  12. R. Burden, J. Faires, Numerical analysis, 8th edition, Cengage Learning, USA, p.864, 2005
  13. W. Press, S. Teukolsky, W. Vetterling, B. Flan- nery, Numerical Recipes in C: The Art of Sci- entific Computing, Second Edition, Cambridge University Press, USA, p.994, 2002
  14. J. Stoer, R. Bulirsch, Introduction to numerical analysis, Springer, USA, p.744, 2002
  15. A. Sudhakar, S. Pall