The stability criteria based on the Rollett parameter (K) plus one auxiliary condition is yet the most popular method used by designers to evaluate the stability of a two-port network although other criteria are available. In this paper, novel analytical proofs of the criteria utilizing K and a new geometrical proof of the relationship between the stability of the ports of a circuit are proposed. They are obtained by making use of relationships between the reflection coefficients at the ports of the network and novel expressions that bind stability circles and unit mapping circles. The developed relations make the proposed proofs easier and more immediate than the traditional ones. Moreover, a new auxiliary condition having the same complexity and a greater geometrical insight with respect to the traditional ones is used.

Serino, A., Ciccognani, W., Colangeli, S., Longhi, P.e., Limiti, E. (2022). New Proofs of the Two-Port Networks Unconditional Stability Criteria Based on the Rollett K Parameter. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS. I, REGULAR PAPERS, 69(4), 1441-1451 [10.1109/TCSI.2021.3137129].

New Proofs of the Two-Port Networks Unconditional Stability Criteria Based on the Rollett K Parameter

Serino A.;Ciccognani W.;Colangeli S.;Longhi P. E.;Limiti E.
2022-04-01

Abstract

The stability criteria based on the Rollett parameter (K) plus one auxiliary condition is yet the most popular method used by designers to evaluate the stability of a two-port network although other criteria are available. In this paper, novel analytical proofs of the criteria utilizing K and a new geometrical proof of the relationship between the stability of the ports of a circuit are proposed. They are obtained by making use of relationships between the reflection coefficients at the ports of the network and novel expressions that bind stability circles and unit mapping circles. The developed relations make the proposed proofs easier and more immediate than the traditional ones. Moreover, a new auxiliary condition having the same complexity and a greater geometrical insight with respect to the traditional ones is used.
apr-2022
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ING-INF/01 - ELETTRONICA
English
Scattering parameters
Microwave theory and techniques
Microwave circuits
Indexes
High frequency
Stability criteria
circuit stability
two-port
reflection coefficient
stability factor
Circuit stability
https://ieeexplore.ieee.org/document/9667263
Serino, A., Ciccognani, W., Colangeli, S., Longhi, P.e., Limiti, E. (2022). New Proofs of the Two-Port Networks Unconditional Stability Criteria Based on the Rollett K Parameter. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS. I, REGULAR PAPERS, 69(4), 1441-1451 [10.1109/TCSI.2021.3137129].
Serino, A; Ciccognani, W; Colangeli, S; Longhi, Pe; Limiti, E
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/296596
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