文章基本信息

标题：Analysis of the Total Electrical Length Extremum of TSSIR Using Lagrange Multipliers Method
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作者：Wang Shan ; Sun Yu ; Wang Yao 等
期刊名称：International Journal of Grid and Distributed Computing
印刷版ISSN：2005-4262
出版年度：2016
卷号：9
期号：1
页码：217-224
DOI：10.14257/ijgdc.2016.9.1.22
出版社：SERSC
摘要：systematic approach to determine the extreme value of total electrical length for tri- section stepped impedance resonator (TSSIR) is proposed in this paper. It utilizes the Lagrange multipliers method to search the extremum condition. Result demonstrates that the maximum resonator length of TSSIR is limited to triple that of the corresponding uniform impedance resonator (UIR). Spurious resonant frequency of λ/2 TSSIR is mainly analysized under the extremum condition (θ 1 ≠θ 2 ≠θ 3 ). Through comparison between the proposed approach and previously assumed condition (θ 1 =θ 2 =θ 3 ), the staircase discontinuity of transmission line can be reduced using the paper theory to achieve same harmonic ratio. Last, a simulated example is presented to verify correctness of the method. This paper aims to provide a theoretical basis and general guideline for the filter design using TSSIR.
关键词：Tri-section stepped-impedance resonator (TSSIR); Lagrange multipliers ; method; total electrical length; extreme value condition; staircase effect; harmonic ratio