Explicit expressions of the unconditional stability boundaries of a three-port network

An analytical approach for acquiring the explicit expressions of the boundaries concerning the unconditional stability regions of a three-port network is presented. This approach begins with the expressions of the input reflection coefficients at the ports 1 and 2 with a terminating port 3 to give t...

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Bibliographic Details
Published in2009 Asia Pacific Microwave Conference pp. 1477 - 1480
Main Authors Rong-Fa Kuo, Tah-Hsiung Chu
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2009
Subjects
Circuit analysis computing
Circuit stability
Computer networks
Equations
Microwave circuits
Reflection
Reflection coefficient
Scattering
Software design
Software tools
Stability analysis
stability circle
unconditional stability
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Summary:An analytical approach for acquiring the explicit expressions of the boundaries concerning the unconditional stability regions of a three-port network is presented. This approach begins with the expressions of the input reflection coefficients at the ports 1 and 2 with a terminating port 3 to give two stability circles in the terminating plane. One can graphically determine that the tangent point of these two stability circles is on the boundary of the unconditional stability region for the terminating port. Then, the explicit boundary expression for the port 3 is derived. This procedure may be followed for the other two ports in order to fully characterize the unconditional stability boundaries of a three-port network. Using the Agilent ADS software tool, the derived expressions are implemented. These expressions can not only enhance the computer-aided capability on the stability analysis of a three-port network but also provide useful information for the microwave circuit designers.
ISBN:9781424428014
1424428017
ISSN:2165-4727
2165-4743
DOI:10.1109/APMC.2009.5384465