EULER POLİNOMLARI İLE YENİ BİR ÇOKLU KATMANLI REEL EMPEDANS UYUMLANDIRMA TEKNİĞİ VE İLETİM HATTI UYGULAMASI
Abstract
Bu çalışmada yeni bir çoklu katmanlı reel
empedans uyumlandırma tekniği önerilmiştir. Bu teknik Euler metodu ile reel
empedans uyumlandırma tekniğidir. Euler fonksiyonu ile yansıma katsayısı denklemi
modellenmiştir. Euler polinomları ile her bir empedans uyumlandırma katmanında
meydana gelebilecek yansıma katsayısı ifade edilmiştir. Empedans uyumlandırma
için her katmanın karakteristik empedansının ne olması gerektiği matematiksel
olarak ortaya konulmuştur.
Euler polinomları ile
empedans uyumlandırma tekniğinin başarısını ortaya koymak için karakteristik empedansa sahip iletim hattı, yük empedansı ile sonlandırılmıştır.
Uyumsuzluk ve empedans uyumlandırma durumlarında yansıma sonuçları
karşılaştırılmıştır. Yansıma 8-10 dB azaltılarak uyumlandırmada başarı
sağlanmıştır.
References
- Abramowitz, M. ve I. A. Stegun (1966). "Handbook of mathematical functions." Applied mathematics series 55: 62.
- Aksen, A., E. G. Çimen, vd. (1998). "A numerical real frequency broadband matching technique based on parametric representation of scattering parameters."
- Aslan, N. (2011). Euler ve q-Euler Polinomları ve Yaklaşım Özellikleri. Yüksek Lisans Tezi Yüksek Lisans Tezi, Gaziantep Üniversitesi.
- Balanis, C. A. (2005). Antenna theory: analysis and design, John Wiley & Sons.
- Caron, W. N. (1993). Antenna impedance matching, American radio relay league.
- Charalambides, C. A. (2005). Combinatorial methods in discrete distributions, John Wiley & Sons.
- Cheng, D. K. (1993). "Fundamentals of engineering electromagnetics."
- Chryssomallis, M. ve J. Sahalos (1999). "Filter synthesis using products of Legendre polynomials." Electrical Engineering 81(6): 419-424.
- Dai, Z., S. He, vd. (2015). "A new distributed parameter broadband matching method for power amplifier via real frequency technique." IEEE Transactions on Microwave Theory and Techniques 63(2): 449-458.
- Dottorato, P. (2010). "Analysis and Design of the Rectangular MicrostripPatch Antennas for TM0n0 operating mode." Microwave Journal: Volume 8.
- Khare, R. ve R. Nema (2012). "Reflection Coefficient Analysis of ChebyshevImpedance Matching Using Different Algorithms " Internetional Journal of Innovative Research in Science, Engineering and Technology 1(2): 5.
- Kraus, J. ve R. Marhefka (2002). Antennas for All Application, Chapter 23, McGraw-Hill.
- Kumar, G. ve K. Ray (2002). Broadband microstrip antennas, Artech House.
- Lee, T. H. (2004). Planar microwave engineering: a practical guide to theory, measurement, and circuits, Cambridge University Press.
- Manteghi, M. (2009). "Analytical calculation of impedance matching for probe-fed microstrip patch antennas." Antennas and Propagation, IEEE Transactions on 57(12): 3972-3975.
- Mbinack, C., E. Tonye, vd. (2015). "Microstrip‐line theory and experimental study for the characterization of the inset‐fed rectangular microstrip‐patch antenna impedance." Microwave and optical technology letters 57(2): 514-518.
- Oliner, A. A., D. R. Jackson, vd. (2007). "Antenna Engineering Handbook." McGraw Hill.
- Pozar, D. M. (2005). Microwave Engineering 3e. United States of America, John Wiley & Sons, Inc.
- Stutzman, W. L. ve G. A. Thiele (2012). Antenna theory and design, John Wiley & Sons.
- Yarman, B. S. (2010). Design of ultra wideband power transfer networks, John Wiley & Sons.
A NEW MULTI STEPPED REAL IMPEDANCE MATCHING METHOD WITH EULER POLYNOMIALS AND ITS APPLICATION ON TRANSMISSION LINE
Abstract
In this work; we propose a new multi stepped real impedance matching technique. The technique is Euler Polynomials real impedance matching technique. We modeled The Euler Function as reflection coefficient equation. Each matching layer expressed with Euler Polynomials as reflection coefficient. For impedance matching, what is the characteristic impedance of each layer is explained mathematically.
For indicate the success of the technique; the characteristic impedance of transmission line Z_0=50 Ω terminated with Z_L=100+j0 Ω real load impedance. There is a comparison between mismatching and the Euler matched situation. As a result, the reflection decreased 8-10 dB successfully.
References
- Abramowitz, M. ve I. A. Stegun (1966). "Handbook of mathematical functions." Applied mathematics series 55: 62.
- Aksen, A., E. G. Çimen, vd. (1998). "A numerical real frequency broadband matching technique based on parametric representation of scattering parameters."
- Aslan, N. (2011). Euler ve q-Euler Polinomları ve Yaklaşım Özellikleri. Yüksek Lisans Tezi Yüksek Lisans Tezi, Gaziantep Üniversitesi.
- Balanis, C. A. (2005). Antenna theory: analysis and design, John Wiley & Sons.
- Caron, W. N. (1993). Antenna impedance matching, American radio relay league.
- Charalambides, C. A. (2005). Combinatorial methods in discrete distributions, John Wiley & Sons.
- Cheng, D. K. (1993). "Fundamentals of engineering electromagnetics."
- Chryssomallis, M. ve J. Sahalos (1999). "Filter synthesis using products of Legendre polynomials." Electrical Engineering 81(6): 419-424.
- Dai, Z., S. He, vd. (2015). "A new distributed parameter broadband matching method for power amplifier via real frequency technique." IEEE Transactions on Microwave Theory and Techniques 63(2): 449-458.
- Dottorato, P. (2010). "Analysis and Design of the Rectangular MicrostripPatch Antennas for TM0n0 operating mode." Microwave Journal: Volume 8.
- Khare, R. ve R. Nema (2012). "Reflection Coefficient Analysis of ChebyshevImpedance Matching Using Different Algorithms " Internetional Journal of Innovative Research in Science, Engineering and Technology 1(2): 5.
- Kraus, J. ve R. Marhefka (2002). Antennas for All Application, Chapter 23, McGraw-Hill.
- Kumar, G. ve K. Ray (2002). Broadband microstrip antennas, Artech House.
- Lee, T. H. (2004). Planar microwave engineering: a practical guide to theory, measurement, and circuits, Cambridge University Press.
- Manteghi, M. (2009). "Analytical calculation of impedance matching for probe-fed microstrip patch antennas." Antennas and Propagation, IEEE Transactions on 57(12): 3972-3975.
- Mbinack, C., E. Tonye, vd. (2015). "Microstrip‐line theory and experimental study for the characterization of the inset‐fed rectangular microstrip‐patch antenna impedance." Microwave and optical technology letters 57(2): 514-518.
- Oliner, A. A., D. R. Jackson, vd. (2007). "Antenna Engineering Handbook." McGraw Hill.
- Pozar, D. M. (2005). Microwave Engineering 3e. United States of America, John Wiley & Sons, Inc.
- Stutzman, W. L. ve G. A. Thiele (2012). Antenna theory and design, John Wiley & Sons.
- Yarman, B. S. (2010). Design of ultra wideband power transfer networks, John Wiley & Sons.
Details
| Subjects | Engineering |
|---|---|
| Journal Section | Research Articles |
| Authors | |
| Publication Date | December 18, 2017 |
| Submission Date | July 3, 2017 |
| Acceptance Date | November 15, 2017 |
| Published in Issue | Year 2017 Volume: 5 Issue: 3 |