An application of reachable set analysis in power system transient stability assessment

Licheng Jin; Haifeng Liu; Ratnesh Kumar; Venkataramana Ajjarapu; James D. McCalley; Nicola Elia; Vijay Vittal

An application of reachable set analysis in power system transient stability assessment

Licheng Jin, Haifeng Liu, Ratnesh Kumar, Venkataramana Ajjarapu, James D. McCalley, Nicola Elia, Vijay Vittal

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

Abstract

A novel method to compute the stability region in power system transient stability analysis is presented. This method is based on the level set analysis. The key to this method is to construct the Hamilton-Jacobi-Isaacs (HJI) partial differential equation (PDE) of a nonlinear system, using which we can compute the backward reachable set by applying the level set methods. The backward reachable set of a stable equilibrium yields the stability region of the equilibrium point in power system transient stability assessment. The proposed method is applied to a single machine infinite bus system and a classical two-machine system yielding satisfactory results.

Original language	English (US)
Title of host publication	2005 IEEE Power Engineering Society General Meeting
Pages	1715-1719
Number of pages	5
State	Published - 2005
Externally published	Yes
Event	2005 IEEE Power Engineering Society General Meeting - San Francisco, CA, United States Duration: Jun 12 2005 → Jun 16 2005

Publication series

Name	2005 IEEE Power Engineering Society General Meeting
Volume	2

Other

Other	2005 IEEE Power Engineering Society General Meeting
Country/Territory	United States
City	San Francisco, CA
Period	6/12/05 → 6/16/05

Keywords

Level set methods
Power system transient stability assessment
Reachable set analysis

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Jin, L, Liu, H, Kumar, R, Ajjarapu, V, McCalley, JD, Elia, N & Vittal, V 2005, An application of reachable set analysis in power system transient stability assessment. in 2005 IEEE Power Engineering Society General Meeting. 2005 IEEE Power Engineering Society General Meeting, vol. 2, pp. 1715-1719, 2005 IEEE Power Engineering Society General Meeting, San Francisco, CA, United States, 6/12/05.

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title = "An application of reachable set analysis in power system transient stability assessment",

abstract = "A novel method to compute the stability region in power system transient stability analysis is presented. This method is based on the level set analysis. The key to this method is to construct the Hamilton-Jacobi-Isaacs (HJI) partial differential equation (PDE) of a nonlinear system, using which we can compute the backward reachable set by applying the level set methods. The backward reachable set of a stable equilibrium yields the stability region of the equilibrium point in power system transient stability assessment. The proposed method is applied to a single machine infinite bus system and a classical two-machine system yielding satisfactory results.",

keywords = "Level set methods, Power system transient stability assessment, Reachable set analysis",

author = "Licheng Jin and Haifeng Liu and Ratnesh Kumar and Venkataramana Ajjarapu and McCalley, {James D.} and Nicola Elia and Vijay Vittal",

year = "2005",

language = "English (US)",

isbn = "078039156X",

series = "2005 IEEE Power Engineering Society General Meeting",

pages = "1715--1719",

booktitle = "2005 IEEE Power Engineering Society General Meeting",

note = "2005 IEEE Power Engineering Society General Meeting ; Conference date: 12-06-2005 Through 16-06-2005",

}

TY - GEN

T1 - An application of reachable set analysis in power system transient stability assessment

AU - Jin, Licheng

AU - Liu, Haifeng

AU - Kumar, Ratnesh

AU - Ajjarapu, Venkataramana

AU - McCalley, James D.

AU - Elia, Nicola

AU - Vittal, Vijay

PY - 2005

Y1 - 2005

N2 - A novel method to compute the stability region in power system transient stability analysis is presented. This method is based on the level set analysis. The key to this method is to construct the Hamilton-Jacobi-Isaacs (HJI) partial differential equation (PDE) of a nonlinear system, using which we can compute the backward reachable set by applying the level set methods. The backward reachable set of a stable equilibrium yields the stability region of the equilibrium point in power system transient stability assessment. The proposed method is applied to a single machine infinite bus system and a classical two-machine system yielding satisfactory results.

AB - A novel method to compute the stability region in power system transient stability analysis is presented. This method is based on the level set analysis. The key to this method is to construct the Hamilton-Jacobi-Isaacs (HJI) partial differential equation (PDE) of a nonlinear system, using which we can compute the backward reachable set by applying the level set methods. The backward reachable set of a stable equilibrium yields the stability region of the equilibrium point in power system transient stability assessment. The proposed method is applied to a single machine infinite bus system and a classical two-machine system yielding satisfactory results.

KW - Level set methods

KW - Power system transient stability assessment

KW - Reachable set analysis

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UR - http://www.scopus.com/inward/citedby.url?scp=27144531304&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:27144531304

SN - 078039156X

SN - 9780780391567

T3 - 2005 IEEE Power Engineering Society General Meeting

SP - 1715

EP - 1719

BT - 2005 IEEE Power Engineering Society General Meeting

T2 - 2005 IEEE Power Engineering Society General Meeting

Y2 - 12 June 2005 through 16 June 2005

ER -

An application of reachable set analysis in power system transient stability assessment

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