Network Topology Invariant Stability Certificates for DC Microgrids With Arbitrary Load Dynamics

Samuel Chevalier; Federico Martin Ibanez; Kathleen Cavanagh; Konstantin Turitsyn; Luca Daniel; Petr Vorobev

doi:10.1109/TPWRS.2021.3110803

Network Topology Invariant Stability Certificates for DC Microgrids With Arbitrary Load Dynamics

Samuel Chevalier
, Federico Martin Ibanez
, Kathleen Cavanagh
, Konstantin Turitsyn
, Luca Daniel
, Petr Vorobev^*

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

DC microgrids are prone to small-signal instabilities due to the presence of tightly regulated loads. This paper develops a decentralized stability certificate which is capable of certifying the small-signal stability of an islanded DC network containing such loads. Utilizing a novel homotopy approach, the proposed standards ensure that no system eigenmodes are able to cross into the unstable right half plane for a continuous range of controller gain levels. The resulting 'standards' can be applied to variety of grid components which meet the specified, but non-unique, criteria. These standards thus take a step towards offering plug-and-play operability of DC microgrids. The proposed theorems are explicitly illustrated and numerically validated on multiple DC microgrid test-cases containing both buck and boost converter dynamics.

Original language	English
Journal	IEEE Transactions on Power Systems
Volume	37
Issue number	3
Pages (from-to)	1782-1797
ISSN	0885-8950
DOIs	https://doi.org/10.1109/TPWRS.2021.3110803
Publication status	Published - 1 May 2022

Keywords

Constant power load
Microgrids
Parameterization
Small-signal stability
Stability criteria

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10.1109/TPWRS.2021.3110803

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title = "Network Topology Invariant Stability Certificates for DC Microgrids With Arbitrary Load Dynamics",

abstract = "DC microgrids are prone to small-signal instabilities due to the presence of tightly regulated loads. This paper develops a decentralized stability certificate which is capable of certifying the small-signal stability of an islanded DC network containing such loads. Utilizing a novel homotopy approach, the proposed standards ensure that no system eigenmodes are able to cross into the unstable right half plane for a continuous range of controller gain levels. The resulting 'standards' can be applied to variety of grid components which meet the specified, but non-unique, criteria. These standards thus take a step towards offering plug-and-play operability of DC microgrids. The proposed theorems are explicitly illustrated and numerically validated on multiple DC microgrid test-cases containing both buck and boost converter dynamics. ",

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T1 - Network Topology Invariant Stability Certificates for DC Microgrids With Arbitrary Load Dynamics

AU - Chevalier, Samuel

AU - Ibanez, Federico Martin

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AU - Daniel, Luca

AU - Vorobev, Petr

PY - 2022/5/1

Y1 - 2022/5/1

N2 - DC microgrids are prone to small-signal instabilities due to the presence of tightly regulated loads. This paper develops a decentralized stability certificate which is capable of certifying the small-signal stability of an islanded DC network containing such loads. Utilizing a novel homotopy approach, the proposed standards ensure that no system eigenmodes are able to cross into the unstable right half plane for a continuous range of controller gain levels. The resulting 'standards' can be applied to variety of grid components which meet the specified, but non-unique, criteria. These standards thus take a step towards offering plug-and-play operability of DC microgrids. The proposed theorems are explicitly illustrated and numerically validated on multiple DC microgrid test-cases containing both buck and boost converter dynamics.

AB - DC microgrids are prone to small-signal instabilities due to the presence of tightly regulated loads. This paper develops a decentralized stability certificate which is capable of certifying the small-signal stability of an islanded DC network containing such loads. Utilizing a novel homotopy approach, the proposed standards ensure that no system eigenmodes are able to cross into the unstable right half plane for a continuous range of controller gain levels. The resulting 'standards' can be applied to variety of grid components which meet the specified, but non-unique, criteria. These standards thus take a step towards offering plug-and-play operability of DC microgrids. The proposed theorems are explicitly illustrated and numerically validated on multiple DC microgrid test-cases containing both buck and boost converter dynamics.

KW - Constant power load

KW - Microgrids

KW - Parameterization

KW - Small-signal stability

KW - Stability criteria

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Network Topology Invariant Stability Certificates for DC Microgrids With Arbitrary Load Dynamics

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