A Damping Ratio Bound for Networks of Masses and Springs

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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.

Original languageEnglish
Title of host publicationEuropean Control Conference 2020, ECC 2020
PublisherIEEE - Institute of Electrical and Electronics Engineers Inc.
Pages1480-1483
Number of pages4
ISBN (Electronic)9783907144015
DOIs
Publication statusPublished - 2020 May 1
Event18th European Control Conference, ECC 2020 - Saint Petersburg, Russian Federation
Duration: 2020 May 122020 May 15

Publication series

NameEuropean Control Conference 2020, ECC 2020

Conference

Conference18th European Control Conference, ECC 2020
Country/TerritoryRussian Federation
CitySaint Petersburg
Period2020/05/122020/05/15

Subject classification (UKÄ)

  • Control Engineering

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