A Damping Ratio Bound for Networks of Masses and Springs

Richard Pates

doi:10.23919/ECC51009.2020.9143627

A Damping Ratio Bound for Networks of Masses and Springs

Richard Pates

Institutionen för reglerteknik

Forskningsoutput: Kapitel i bok/rapport/Conference proceeding › Konferenspaper i proceeding › Peer review

186 Nedladdningar (Pure)

Sammanfattning

The damping ratio is a key performance measure in systems that can be modelled as networks of masses and springs. We derive a lower bound on this quantity that applies to such networks when the masses are subject to viscous damping. The result allows the size of the damping ratio to be understood as a function of the system parameters. We use this to derive a decentralised criterion which, if satisfied, guarantees that all the modes of a swing equation power system model are sufficiently well damped, independently of its operating point and size.

Originalspråk	engelska
Titel på värdpublikation	European Control Conference 2020, ECC 2020
Förlag	IEEE - Institute of Electrical and Electronics Engineers Inc.
Sidor	1480-1483
Antal sidor	4
ISBN (elektroniskt)	9783907144015
DOI	https://doi.org/10.23919/ECC51009.2020.9143627
Status	Published - 2020 maj 1
Evenemang	18th European Control Conference, ECC 2020 - Saint Petersburg, Ryssland Varaktighet: 2020 maj 12 → 2020 maj 15

Publikationsserier

Namn	European Control Conference 2020, ECC 2020

Konferens

Konferens	18th European Control Conference, ECC 2020
Land/Territorium	Ryssland
Ort	Saint Petersburg
Period	2020/05/12 → 2020/05/15

Ämnesklassifikation (UKÄ)

Reglerteknik

Tillgång till dokument

10.23919/ECC51009.2020.9143627

ECC2019Accepterat manuskript från författare, 290 KB

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Link to publication in Scopus

ScalableControl: Scalable Control of Interconnected Systems
Rantzer, A., Jouini, T., Agner, F., Troeng, O., Kergus, P., Pates, R., Kjellqvist, O., Renganathan, V., Wu, D. & Lindberg, J.
2019/09/01 → 2024/08/31
Projekt: Forskning

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title = "A Damping Ratio Bound for Networks of Masses and Springs",

abstract = "The damping ratio is a key performance measure in systems that can be modelled as networks of masses and springs. We derive a lower bound on this quantity that applies to such networks when the masses are subject to viscous damping. The result allows the size of the damping ratio to be understood as a function of the system parameters. We use this to derive a decentralised criterion which, if satisfied, guarantees that all the modes of a swing equation power system model are sufficiently well damped, independently of its operating point and size.",

author = "Richard Pates",

year = "2020",

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doi = "10.23919/ECC51009.2020.9143627",

language = "English",

series = "European Control Conference 2020, ECC 2020",

publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",

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Pates, R 2020, A Damping Ratio Bound for Networks of Masses and Springs. i European Control Conference 2020, ECC 2020., 9143627, European Control Conference 2020, ECC 2020, IEEE - Institute of Electrical and Electronics Engineers Inc., s. 1480-1483, 18th European Control Conference, ECC 2020, Saint Petersburg, Ryssland, 2020/05/12. https://doi.org/10.23919/ECC51009.2020.9143627

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AB - The damping ratio is a key performance measure in systems that can be modelled as networks of masses and springs. We derive a lower bound on this quantity that applies to such networks when the masses are subject to viscous damping. The result allows the size of the damping ratio to be understood as a function of the system parameters. We use this to derive a decentralised criterion which, if satisfied, guarantees that all the modes of a swing equation power system model are sufficiently well damped, independently of its operating point and size.

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A Damping Ratio Bound for Networks of Masses and Springs

Sammanfattning

Publikationsserier

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Ämnesklassifikation (UKÄ)

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Projekt

ScalableControl: Scalable Control of Interconnected Systems

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