Analytical Approximations of Critical Clearing Time for Parametric Analysis of Power System Transient Stability

Lewis G W Roberts; Alan R Champneys; Mario Di Bernardo; Keith Bell

doi:10.1109/JETCAS.2015.2467111

Analytical Approximations of Critical Clearing Time for Parametric Analysis of Power System Transient Stability

Lewis G W Roberts
, Alan R Champneys
, Mario Di Bernardo
, Keith Bell

Research output: Contribution to journal › Article (Academic Journal) › peer-review

41 Citations (Scopus)

554 Downloads (Pure)

Abstract

An analytic approximation for the critical clearing time (CCT) metric is derived from direct methods for power system stability. The formula has been designed to incorporate as many features of transient stability analysis as possible such as different fault locations and different post-fault network states. The purpose of this metric is to analyze trends in stability (in terms of CCT) of power systems under the variation of a system parameter. The performance of this metric to measure stability trends is demonstrated on an aggregated power network, the so-called two machine infinite bus network, by varying load parameters in the full bus admittance matrix using numerical continuation. The metric is compared to two other expressions for the CCT which incorporate additional nonlinearities present in the model.

Original language	English
Pages (from-to)	465-476
Number of pages	12
Journal	IEEE Journal of Emerging and Selected Topics in Circuits and Systems
Volume	5
Issue number	3
DOIs	https://doi.org/10.1109/JETCAS.2015.2467111
Publication status	Published - 9 Sept 2015

Research Groups and Themes

Engineering Mathematics Research Group
Bristol BioDesign Institute

Keywords

stability metrics
swing equation
synthetic biology
critical clearing time
numerical continuation
power system stability

Access to Document

10.1109/JETCAS.2015.2467111

pure
© 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Accepted author manuscript, 770 KB

Handle.net

Persistent link

Cite this

@article{c3507a38a6e444799445edf79f8df71e,

title = "Analytical Approximations of Critical Clearing Time for Parametric Analysis of Power System Transient Stability",

abstract = "An analytic approximation for the critical clearing time (CCT) metric is derived from direct methods for power system stability. The formula has been designed to incorporate as many features of transient stability analysis as possible such as different fault locations and different post-fault network states. The purpose of this metric is to analyze trends in stability (in terms of CCT) of power systems under the variation of a system parameter. The performance of this metric to measure stability trends is demonstrated on an aggregated power network, the so-called two machine infinite bus network, by varying load parameters in the full bus admittance matrix using numerical continuation. The metric is compared to two other expressions for the CCT which incorporate additional nonlinearities present in the model.",

keywords = "stability metrics, swing equation, synthetic biology, critical clearing time, numerical continuation, power system stability",

author = "Roberts, \{Lewis G W\} and Champneys, \{Alan R\} and \{Di Bernardo\}, Mario and Keith Bell",

year = "2015",

month = sep,

day = "9",

doi = "10.1109/JETCAS.2015.2467111",

language = "English",

volume = "5",

pages = "465--476",

journal = "IEEE Journal of Emerging and Selected Topics in Circuits and Systems",

issn = "2156-3357",

publisher = "IEEE Circuits and Systems Society",

number = "3",

}

Analytical Approximations of Critical Clearing Time for Parametric Analysis of Power System Transient Stability. / Roberts, Lewis G W; Champneys, Alan R; Di Bernardo, Mario et al.
In: IEEE Journal of Emerging and Selected Topics in Circuits and Systems, Vol. 5, No. 3, 09.09.2015, p. 465-476.

Research output: Contribution to journal › Article (Academic Journal) › peer-review

TY - JOUR

T1 - Analytical Approximations of Critical Clearing Time for Parametric Analysis of Power System Transient Stability

AU - Roberts, Lewis G W

AU - Champneys, Alan R

AU - Di Bernardo, Mario

AU - Bell, Keith

PY - 2015/9/9

Y1 - 2015/9/9

N2 - An analytic approximation for the critical clearing time (CCT) metric is derived from direct methods for power system stability. The formula has been designed to incorporate as many features of transient stability analysis as possible such as different fault locations and different post-fault network states. The purpose of this metric is to analyze trends in stability (in terms of CCT) of power systems under the variation of a system parameter. The performance of this metric to measure stability trends is demonstrated on an aggregated power network, the so-called two machine infinite bus network, by varying load parameters in the full bus admittance matrix using numerical continuation. The metric is compared to two other expressions for the CCT which incorporate additional nonlinearities present in the model.

AB - An analytic approximation for the critical clearing time (CCT) metric is derived from direct methods for power system stability. The formula has been designed to incorporate as many features of transient stability analysis as possible such as different fault locations and different post-fault network states. The purpose of this metric is to analyze trends in stability (in terms of CCT) of power systems under the variation of a system parameter. The performance of this metric to measure stability trends is demonstrated on an aggregated power network, the so-called two machine infinite bus network, by varying load parameters in the full bus admittance matrix using numerical continuation. The metric is compared to two other expressions for the CCT which incorporate additional nonlinearities present in the model.

KW - stability metrics

KW - swing equation

KW - synthetic biology

KW - critical clearing time

KW - numerical continuation

KW - power system stability

U2 - 10.1109/JETCAS.2015.2467111

DO - 10.1109/JETCAS.2015.2467111

M3 - Article (Academic Journal)

SN - 2156-3357

VL - 5

SP - 465

EP - 476

JO - IEEE Journal of Emerging and Selected Topics in Circuits and Systems

JF - IEEE Journal of Emerging and Selected Topics in Circuits and Systems

IS - 3

ER -

Analytical Approximations of Critical Clearing Time for Parametric Analysis of Power System Transient Stability

Abstract

Research Groups and Themes

Keywords

Access to Document

Handle.net

Fingerprint

Cite this