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Parametric local stability condition of a multi-converter system

Jouini, Taouba LU and Dörfler, Florian (2021) In IEEE Transactions on Automatic Control (TACON)
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 decentralised 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 decentralised fashion, reflect a parametric dependence on the converter’s steady-state variables, and can be one-to-one generalised to other types of systems exhibiting the same behaviour, such as synchronous machines. Our conditions demand for sufficient reactive power support and resistive damping. These requirements are well aligned with practitioners’ insights. (Less)
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IEEE Transactions on Automatic Control (TACON)
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IEEE - Institute of Electrical and Electronics Engineers Inc.
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Scalable Control of Interconnected Systems
language
English
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yes
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cbf82b31-2968-4b6a-a137-73009ff4fb00
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2019-08-02 14:08:49
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@article{cbf82b31-2968-4b6a-a137-73009ff4fb00,
  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 decentralised fashion, reflect a parametric dependence on the converter’s steady-state variables, and can be one-to-one generalised to other types of systems exhibiting the same behaviour, such as synchronous machines. Our conditions demand for sufficient reactive power support and resistive damping. These requirements are well aligned with practitioners’ insights.},
  author       = {Jouini, Taouba and Dörfler, Florian},
  language     = {eng},
  publisher    = {IEEE - Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Automatic Control (TACON)},
  title        = {Parametric local stability condition of a multi-converter system},
  year         = {2021},
}