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Criteria for the evaluation of linear two-port stability using two geometrically derived parameters

Published online by Cambridge University Press:  19 March 2009

Chinchun Meng ,
Hung-Ju Wei  and
Po-Hsing Sun
Chinchun Meng*
Affiliation:
Department of Communication Engineering, National Chiao-Tung University (NCTU), Hsinchu, Taiwan, R.O.C. Phone: +886-3-5712121-54606; Email: onionpie.cm94g@nctu.edu.tw
Hung-Ju Wei
Affiliation:
Department of Communication Engineering, National Chiao-Tung University (NCTU), Hsinchu, Taiwan, R.O.C. Phone: +886-3-5712121-54606; Email: onionpie.cm94g@nctu.edu.tw
Po-Hsing Sun
Affiliation:
Department of Electrical Engineering, National Chung-Hsing University, Taichung, Taiwan, R.O.C
*
ccmeng@mail.nctu.edu.tw
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Abstract

Two geometrically derived stability parameters, µ′ (or µ) and ν′(or ν), are used to analyze the stability of a two-port network. The magnitudes of both µ′ (or µ) and ν′ (or ν) parameters determine geometrical relations between the stability circle and the unit Smith chart in the ΓS (or ΓL) plane. |µ′| (or |µ|) is defined as the minimum distance from the stability circle to the origin of the unit Smith chart in the ΓS (or ΓL) plane, while |ν′|(or |ν|) is defined as the maximum distance. Moreover, the signs of ν′ (or ν) and µ′ (or µ) parameters determine which region of the stability circle is stable (inside or outside) and whether the stable region includes the origin of the Smith chart, respectively. There are totally 12 situations between the stability circle and the unit Smith chart in the ΓS (or ΓL) plane by using µ′ (or µ) and ν′ (or ν) parameters. This paper classifies 12 situations in the ΓS plane and also presents the corresponding practical two-port networks.

Keywords

Stability criteriaS parametersLinear circuitTwo-port network
Type
Original Article
Information
International Journal of Microwave and Wireless Technologies , Volume 1 , Issue 1 , February 2009 , pp. 65 - 72
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2009

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