Nonlinear stability indices of power swing oscillation using normal form analysis

Hiroyuki Amano; Teruhisa Kumano; Toshio Inoue

Nonlinear stability indices of power swing oscillation using normal form analysis

Hiroyuki Amano^*, Teruhisa Kumano, Toshio Inoue

^*Corresponding author for this work

Advanced Power System Engineering Laboratory

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Scopus citations

Abstract

We propose stability indices of power swing oscillation taking nonlinearity into consideration using normal form analysis. For a relatively large oscillation to which eigenanalysis cannot be applied, we approximately describe the effect of nonlinearity up to the third order in the form of the change in oscillation characteristics (damping factor and period) with respect to the change in amplitude. Consequently, we can obtain approximated stability regions of oscillation modes in state space. It is also possible to apply the proposed indices under auto-parametric resonance condition, when a ratio of eigenvalues is close to a simple whole number. We demonstrate the effectiveness of the proposed indices by comparing with time-domain simulation results in longitudinal power system models.

Original language	English
Title of host publication	2006 IEEE Power Engineering Society General Meeting, PES
State	Published - 2006
Event	2006 IEEE Power Engineering Society General Meeting, PES - Montreal, QC, Canada Duration: 2006/06/18 → 2006/06/22

Publication series

Name	2006 IEEE Power Engineering Society General Meeting, PES

Conference

Conference	2006 IEEE Power Engineering Society General Meeting, PES
Country/Territory	Canada
City	Montreal, QC
Period	2006/06/18 → 2006/06/22

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

@inproceedings{dcd0ca382162411fa9776ba353f7aef4,

title = "Nonlinear stability indices of power swing oscillation using normal form analysis",

abstract = "We propose stability indices of power swing oscillation taking nonlinearity into consideration using normal form analysis. For a relatively large oscillation to which eigenanalysis cannot be applied, we approximately describe the effect of nonlinearity up to the third order in the form of the change in oscillation characteristics (damping factor and period) with respect to the change in amplitude. Consequently, we can obtain approximated stability regions of oscillation modes in state space. It is also possible to apply the proposed indices under auto-parametric resonance condition, when a ratio of eigenvalues is close to a simple whole number. We demonstrate the effectiveness of the proposed indices by comparing with time-domain simulation results in longitudinal power system models.",

author = "Hiroyuki Amano and Teruhisa Kumano and Toshio Inoue",

year = "2006",

language = "英語",

isbn = "1424404932",

series = "2006 IEEE Power Engineering Society General Meeting, PES",

booktitle = "2006 IEEE Power Engineering Society General Meeting, PES",

note = "2006 IEEE Power Engineering Society General Meeting, PES ; Conference date: 18-06-2006 Through 22-06-2006",

}

Nonlinear stability indices of power swing oscillation using normal form analysis. / Amano, Hiroyuki; Kumano, Teruhisa; Inoue, Toshio.
2006 IEEE Power Engineering Society General Meeting, PES. 2006. 1709010 (2006 IEEE Power Engineering Society General Meeting, PES).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Nonlinear stability indices of power swing oscillation using normal form analysis

AU - Amano, Hiroyuki

AU - Kumano, Teruhisa

AU - Inoue, Toshio

PY - 2006

Y1 - 2006

N2 - We propose stability indices of power swing oscillation taking nonlinearity into consideration using normal form analysis. For a relatively large oscillation to which eigenanalysis cannot be applied, we approximately describe the effect of nonlinearity up to the third order in the form of the change in oscillation characteristics (damping factor and period) with respect to the change in amplitude. Consequently, we can obtain approximated stability regions of oscillation modes in state space. It is also possible to apply the proposed indices under auto-parametric resonance condition, when a ratio of eigenvalues is close to a simple whole number. We demonstrate the effectiveness of the proposed indices by comparing with time-domain simulation results in longitudinal power system models.

AB - We propose stability indices of power swing oscillation taking nonlinearity into consideration using normal form analysis. For a relatively large oscillation to which eigenanalysis cannot be applied, we approximately describe the effect of nonlinearity up to the third order in the form of the change in oscillation characteristics (damping factor and period) with respect to the change in amplitude. Consequently, we can obtain approximated stability regions of oscillation modes in state space. It is also possible to apply the proposed indices under auto-parametric resonance condition, when a ratio of eigenvalues is close to a simple whole number. We demonstrate the effectiveness of the proposed indices by comparing with time-domain simulation results in longitudinal power system models.

UR - http://www.scopus.com/inward/record.url?scp=35348923617&partnerID=8YFLogxK

M3 - 会議への寄与

AN - SCOPUS:35348923617

SN - 1424404932

SN - 9781424404933

T3 - 2006 IEEE Power Engineering Society General Meeting, PES

BT - 2006 IEEE Power Engineering Society General Meeting, PES

T2 - 2006 IEEE Power Engineering Society General Meeting, PES

Y2 - 18 June 2006 through 22 June 2006

ER -

Nonlinear stability indices of power swing oscillation using normal form analysis

Abstract

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ASJC Scopus subject areas

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