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Practical Synthesis Of Irrational Impedance Based On Solutions Of The Quadratic Equation

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This article presents the rational approximations of recursively obtained solutions 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 -45°. 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 -1,3° respectively. Furthermore, it was found that the lattice networkperformance had impedance close to the expected one but in parallel with a capacity.
1391-1398

REFERENCES

References: 

[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, "Approximation and synthesis of non integer order systems", 2nd IFAC
1398
Pl. NIKOVSKI / IU-JEEE Vol. 11(2), (2011), 1391-1398
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 Components, vol.
2008, p.5, 2008.
[4] L. Dorcâk1, J. Terpâk1, I. Petrâs1, F. Dorcâkovâ, "Electronic realization of the fractional-order systems", Acta Montanistica Slovaca, vol.12, pp.231-237, 2007.
[5] A. Djouambi, A. Charef, A. Besançon1, "Optimal 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 differential equation", Nonlinear Dynamics, vol.46, pp.195-210, 2006.
[7] P. Sotiriadis, Y. Tsividis, "Integrators using a single distributed RC element", IEEE International 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 domain", Journal of Circuits Systems & Computers, vol.17, pp.55-66,
2008.
[9] M. Lima, J. Machado, M. Crisostomo, "Experimental 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 distributed 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. Flannery, Numerical Recipes in C: The Art of Scientific 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. Palli, Circuits and Networks, Tata McGraw-Hill Education, India, p.965, 2006.
[16] J. Chitode, Dr. Jalnekar, Network Analysis and Synthesis, Technical Publications, India, p.853,
2009.
[17] O. Wing, Chitode, Dr. Jalnekar, Network Analysis Classical Circuit Theory, Springer, USA, p.296,
2008.
[18] T. Iyer, Circuit theory, McGraw-Hill, p.520, 2006.
[19] Pl. Nikovski, N. Katrandziev, "Modelling of phase-constant element in PSpice environment", Scientific conference with international participation - Food science, Engineering and Technologies, Plovdiv,
Bulgaria, pp. 430-435, 2009.
[20] Pl. Nikovski, "Improving the metrological characteristics of capacitive charge transfer
transducers in the presence of constant phase element in the input", PhD thesis, Technical University, Sofia, Bulgaria, p.128, 2011.
[21] Pl. Nikovski, "A transfer function of a capacitive transducer in the presence of a phase constant element", Engineering Sciences, No.3, pp.12-21, 2010.
[22] Pl. Nikovski, I. Maslinkov, "Analysis of an equivalent CCPE connection diagram of the one-port circuit by square-wave voltage", International Scientific and Applied Science Conference Electronics, Sozopol, Bulgaria, p.197-199, 2009.
Plamen NIKOVSKI received M.Sc. degree in Control Engineering from University of Food Technologies, Bulgaria in 1994. and Ph.D degree in Electrical Measurements from Technical University of Sofia in 2011. His current research interests include measurement and instrumentation in food industry.

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