Towards a general stability analysis of process network systems

Leyla Ozkan, B. Erik Ydstie

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

This paper considers process systems whose dynamics are described by conservation laws for extensive variables and second law of thermodynamics and which can also been considered as interconnected (network) systems. In representing the dynamics and the analysis of network systems Tellegen's theorem and the passivity theory are used. Different from the usual application of these two methods on large scale systems, in this work, we only consider a single unit (node). For a single process unit, we apply the Tellegen's theorem and using a suitable storage function, derive the expression for the rate of change of the storage function. This expression is obtained for the cases of single phase and binary phases.
LanguageEnglish
Title of host publication3rd IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory
StatePublished - Jul 2019
Event3rd IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory - Louvain-la-Neuve, Germany
Duration: 3 Jul 20193 Jul 2019

Conference

Conference3rd IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory
CountryGermany
CityLouvain-la-Neuve
Period3/07/193/07/19

Fingerprint

Large scale systems
Chemical reactions
Conservation
Dynamical systems
Thermodynamics

Cite this

Ozkan, L., & Ydstie, B. E. (2019). Towards a general stability analysis of process network systems. In 3rd IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory [WeS3S.2]
Ozkan, Leyla ; Ydstie, B. Erik. / Towards a general stability analysis of process network systems. 3rd IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory. 2019.
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Ozkan, L & Ydstie, BE 2019, Towards a general stability analysis of process network systems. in 3rd IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory., WeS3S.2, 3rd IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory, Louvain-la-Neuve, Germany, 3/07/19.

Towards a general stability analysis of process network systems. / Ozkan, Leyla; Ydstie, B. Erik.

3rd IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory. 2019. WeS3S.2.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Towards a general stability analysis of process network systems

AU - Ozkan,Leyla

AU - Ydstie,B. Erik

PY - 2019/7

Y1 - 2019/7

N2 - This paper considers process systems whose dynamics are described by conservation laws for extensive variables and second law of thermodynamics and which can also been considered as interconnected (network) systems. In representing the dynamics and the analysis of network systems Tellegen's theorem and the passivity theory are used. Different from the usual application of these two methods on large scale systems, in this work, we only consider a single unit (node). For a single process unit, we apply the Tellegen's theorem and using a suitable storage function, derive the expression for the rate of change of the storage function. This expression is obtained for the cases of single phase and binary phases.

AB - This paper considers process systems whose dynamics are described by conservation laws for extensive variables and second law of thermodynamics and which can also been considered as interconnected (network) systems. In representing the dynamics and the analysis of network systems Tellegen's theorem and the passivity theory are used. Different from the usual application of these two methods on large scale systems, in this work, we only consider a single unit (node). For a single process unit, we apply the Tellegen's theorem and using a suitable storage function, derive the expression for the rate of change of the storage function. This expression is obtained for the cases of single phase and binary phases.

M3 - Conference contribution

BT - 3rd IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory

ER -

Ozkan L, Ydstie BE. Towards a general stability analysis of process network systems. In 3rd IFAC Workshop on Thermodynamic Foundations of Mathematical Systems Theory. 2019. WeS3S.2.