Algorithmic Test of the Unconditional Stability of Three-Port Networks

A geometrical test for the unconditional stability of three-port networks is presented. The derivation is presented in full detail, starting from the concept of input mapping region as an indicator of unconditional stability. A novel set of (equivalent) parameters is then defined, which can serve to...

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Bibliographic Details
Published in:IEEE transactions on microwave theory and techniques 2018-12, Vol.66 (12), p.5197-5205
Main Authors: Colangeli, Sergio, Ciccognani, Walter, Limiti, Ernesto
Format: Article
Language:English
Subjects:
Admittance
Asymptotic stability
Circuit stability
Derivation
Mapping
Numerical stability
Small-signal stability
Stability
Stability criteria
three-port network
unconditional stability
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Summary:A geometrical test for the unconditional stability of three-port networks is presented. The derivation is presented in full detail, starting from the concept of input mapping region as an indicator of unconditional stability. A novel set of (equivalent) parameters is then defined, which can serve to rapidly check the unconditional stability of a three-port network under test. Although the derivation is rather lengthy, the final part of the contribution shows that the practical application of the test is actually straightforward.
ISSN:0018-9480
1557-9670
DOI:10.1109/TMTT.2018.2869745