An improved analytical method for triple stub matching (Stubs in Parallel)

Slobodan Babic 1, * and Cevdet Akyel 2

1 Independent Researcher, 53 Berlioz, 101, H3E 1N2, Montréal, Canada.
2 Département de Génie Électrique, École Polytechnique, C.P. 6079 Succ. Centre-Ville, QC H3C 3A7, Montréal, Canada.
 
Research Article
Global Journal of Engineering and Technology Advances, 2021, 07(03), 157–178.
Article DOI: 10.30574/gjeta.2021.7.3.0089
Publication history: 
Received on 15 May 2021; revised on 18 June 2021; accepted on 21 June 2021
 
Abstract: 
In this paper we give the new improved analytical method of triple stub tuner for matching the load impedances to provide the maximum power transfer between a generator and a load. The stubs are connected in parallel with the line at the appropriate distances from the load.  The characteristic impedances of the transmission line and the stabs are different. The paper points on the determination of the length for the first stub near the load. The limit lengths for the first and the second stub are found for which the matching is possible. The length of the third stub is directly obtained from the matching conditions. Even though there is not the unique solution for the triple stub matching we also shoved the existence of unique solutions under some conditions. The special cases are also treated. The results of this method are verified by those obtained using the Smith chart and there are in exceptionally good agreement. Even though there are not many papers on this subject this work could be useful for engineers, and physicist which work in this domain. 
 
Keywords: 
Impedance matching; Transmission line; Short or open stub; Triple stub in parallel
 
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