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A Damping Ratio Bound for Networks of Masses and Springs

Pates, Richard LU (2020) 18th European Control Conference, ECC 2020 In European Control Conference 2020, ECC 2020 p.1480-1483
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.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
European Control Conference 2020, ECC 2020
series title
European Control Conference 2020, ECC 2020
article number
9143627
pages
4 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
18th European Control Conference, ECC 2020
conference location
Saint Petersburg, Russian Federation
conference dates
2020-05-12 - 2020-05-15
external identifiers
  • scopus:85090138513
ISBN
9783907144015
DOI
10.23919/ECC51009.2020.9143627
project
Scalable Control of Interconnected Systems
language
English
LU publication?
yes
id
6fca896e-fbc8-475b-ae1a-2f0d9043f5dd
date added to LUP
2020-09-24 14:14:16
date last changed
2022-04-19 01:00:29
@inproceedings{6fca896e-fbc8-475b-ae1a-2f0d9043f5dd,
  abstract     = {{<p>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.</p>}},
  author       = {{Pates, Richard}},
  booktitle    = {{European Control Conference 2020, ECC 2020}},
  isbn         = {{9783907144015}},
  language     = {{eng}},
  month        = {{05}},
  pages        = {{1480--1483}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{European Control Conference 2020, ECC 2020}},
  title        = {{A Damping Ratio Bound for Networks of Masses and Springs}},
  url          = {{https://lup.lub.lu.se/search/files/94257723/ECC2019_1_.pdf}},
  doi          = {{10.23919/ECC51009.2020.9143627}},
  year         = {{2020}},
}