Parametric local stability condition of a multi-converter system
(2024) In IEEE Transactions on Automatic Control- Abstract
We study local (also referred to as small-signal) stability of a network of identical DC/AC converters having a rotating degree of freedom by closing the loop with the matching control at each converter. We develop a stability theory for a class of partitioned linear systems with symmetries that has natural links to classical stability theories of interconnected systems but improves upon them. We find stability conditions descending from a particular Lyapunov function involving an oblique projection into the invariant set of synchronous steady states and enjoying insightful structural properties. Our sufficient and explicit stability conditions can be evaluated in a fully decentralized fashion, reflect a parametric dependence on the... (More)
We study local (also referred to as small-signal) stability of a network of identical DC/AC converters having a rotating degree of freedom by closing the loop with the matching control at each converter. We develop a stability theory for a class of partitioned linear systems with symmetries that has natural links to classical stability theories of interconnected systems but improves upon them. We find stability conditions descending from a particular Lyapunov function involving an oblique projection into the invariant set of synchronous steady states and enjoying insightful structural properties. Our sufficient and explicit stability conditions can be evaluated in a fully decentralized fashion, reflect a parametric dependence on the converter's steady-state variables, and can be one-to-one generalized to other types of systems exhibiting the same behavior, such as synchronous machines. Our conditions demand for sufficient reactive power support and resistive damping. These requirements are well aligned with practitioners' insights.
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- author
- Jouini, Taouba LU and Dorfler, Florian
- organization
- publishing date
- 2024
- type
- Contribution to journal
- publication status
- epub
- subject
- keywords
- Linear systems, Power system dynamics, Power system stability, Stability analysis, Steady-state, Synchronous machines, Zirconium
- in
- IEEE Transactions on Automatic Control
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:85186100369
- ISSN
- 0018-9286
- DOI
- 10.1109/TAC.2020.3032653
- language
- English
- LU publication?
- yes
- id
- 6c1195a1-dd44-4b3a-ad60-6d1cfc22ae0d
- date added to LUP
- 2024-03-19 11:24:44
- date last changed
- 2024-03-19 11:25:11
@article{6c1195a1-dd44-4b3a-ad60-6d1cfc22ae0d,
abstract = {{<p>We study local (also referred to as small-signal) stability of a network of identical DC/AC converters having a rotating degree of freedom by closing the loop with the matching control at each converter. We develop a stability theory for a class of partitioned linear systems with symmetries that has natural links to classical stability theories of interconnected systems but improves upon them. We find stability conditions descending from a particular Lyapunov function involving an oblique projection into the invariant set of synchronous steady states and enjoying insightful structural properties. Our sufficient and explicit stability conditions can be evaluated in a fully decentralized fashion, reflect a parametric dependence on the converter's steady-state variables, and can be one-to-one generalized to other types of systems exhibiting the same behavior, such as synchronous machines. Our conditions demand for sufficient reactive power support and resistive damping. These requirements are well aligned with practitioners' insights.</p>}},
author = {{Jouini, Taouba and Dorfler, Florian}},
issn = {{0018-9286}},
keywords = {{Linear systems; Power system dynamics; Power system stability; Stability analysis; Steady-state; Synchronous machines; Zirconium}},
language = {{eng}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
series = {{IEEE Transactions on Automatic Control}},
title = {{Parametric local stability condition of a multi-converter system}},
url = {{http://dx.doi.org/10.1109/TAC.2020.3032653}},
doi = {{10.1109/TAC.2020.3032653}},
year = {{2024}},
}