Extended Equal Area Criterion Revisited: A Direct Method for Fast Transient Stability Analysis

For transient stability analysis of a multi-machine power system, the Extended Equal Area Criterion (EEAC) method applies the classic Equal Area Criterion (EAC) concept to an approximate One Machine Infinite Bus (OMIB) equivalent of the system to find the critical clearing angle. The system-critical...

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Autores principales:	Alireza Bahmanyar, Damien Ernst, Yves Vanaubel, Quentin Gemine, Camille Pache, Patrick Panciatici
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	equal area criterion Lyapunov criterion transient stability time-domain simulation Technology T
Acceso en línea:	https://doaj.org/article/67f0f305b1074762ac460b11694ca92d
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spelling	oai:doaj.org-article:67f0f305b1074762ac460b11694ca92d2021-11-11T16:00:55ZExtended Equal Area Criterion Revisited: A Direct Method for Fast Transient Stability Analysis10.3390/en142172591996-1073https://doaj.org/article/67f0f305b1074762ac460b11694ca92d2021-11-01T00:00:00Zhttps://www.mdpi.com/1996-1073/14/21/7259https://doaj.org/toc/1996-1073For transient stability analysis of a multi-machine power system, the Extended Equal Area Criterion (EEAC) method applies the classic Equal Area Criterion (EAC) concept to an approximate One Machine Infinite Bus (OMIB) equivalent of the system to find the critical clearing angle. The system-critical clearing time can then be obtained by numerical integration of OMIB equations. The EEAC method was proposed in the 1980s and 1990s as a substitute for time-domain simulation for Transmission System Operators (TSOs) to provide fast, transient stability analysis with the limited computational power available those days. To ensure the secure operation of the power system, TSOs have to identify and prevent potential critical scenarios through offline analyses of a few dangerous ones. These days, due to increased uncertainties in electrical power systems, the number of these critical scenarios is increasing, substantially, calling for fast, transient stability analysis techniques once more. Among them, the EEAC is a unique approach that provides not only valuable information, but also a graphical representation of system dynamics. This paper revisits the EEAC but from a modern, functional point of view. First, the definition of the OMIB model of a multi-machine power system is redrawn in its general form. To achieve fast, transient stability analysis, EEAC relies on approximate models of the true OMIB model. These approximations are clarified, and the EAC concept is redefined with a general definition for instability, and its conditions. Based on the defined conditions and definitions, functions are developed for each EEAC building block, which are later put out together to provide a full-resolution, functional scheme. This functional scheme not only covers the previous literature on the subject, but also allows to introduce several possible new EEAC approaches and provides a detailed description of their implementation procedure. A number of approaches are applied to the French EHV network, and the approximations are examined.Alireza BahmanyarDamien ErnstYves VanaubelQuentin GemineCamille PachePatrick PanciaticiMDPI AGarticleequal area criterionLyapunov criteriontransient stabilitytime-domain simulationTechnologyTENEnergies, Vol 14, Iss 7259, p 7259 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	equal area criterion Lyapunov criterion transient stability time-domain simulation Technology T
spellingShingle	equal area criterion Lyapunov criterion transient stability time-domain simulation Technology T Alireza Bahmanyar Damien Ernst Yves Vanaubel Quentin Gemine Camille Pache Patrick Panciatici Extended Equal Area Criterion Revisited: A Direct Method for Fast Transient Stability Analysis
description	For transient stability analysis of a multi-machine power system, the Extended Equal Area Criterion (EEAC) method applies the classic Equal Area Criterion (EAC) concept to an approximate One Machine Infinite Bus (OMIB) equivalent of the system to find the critical clearing angle. The system-critical clearing time can then be obtained by numerical integration of OMIB equations. The EEAC method was proposed in the 1980s and 1990s as a substitute for time-domain simulation for Transmission System Operators (TSOs) to provide fast, transient stability analysis with the limited computational power available those days. To ensure the secure operation of the power system, TSOs have to identify and prevent potential critical scenarios through offline analyses of a few dangerous ones. These days, due to increased uncertainties in electrical power systems, the number of these critical scenarios is increasing, substantially, calling for fast, transient stability analysis techniques once more. Among them, the EEAC is a unique approach that provides not only valuable information, but also a graphical representation of system dynamics. This paper revisits the EEAC but from a modern, functional point of view. First, the definition of the OMIB model of a multi-machine power system is redrawn in its general form. To achieve fast, transient stability analysis, EEAC relies on approximate models of the true OMIB model. These approximations are clarified, and the EAC concept is redefined with a general definition for instability, and its conditions. Based on the defined conditions and definitions, functions are developed for each EEAC building block, which are later put out together to provide a full-resolution, functional scheme. This functional scheme not only covers the previous literature on the subject, but also allows to introduce several possible new EEAC approaches and provides a detailed description of their implementation procedure. A number of approaches are applied to the French EHV network, and the approximations are examined.
format	article
author	Alireza Bahmanyar Damien Ernst Yves Vanaubel Quentin Gemine Camille Pache Patrick Panciatici
author_facet	Alireza Bahmanyar Damien Ernst Yves Vanaubel Quentin Gemine Camille Pache Patrick Panciatici
author_sort	Alireza Bahmanyar
title	Extended Equal Area Criterion Revisited: A Direct Method for Fast Transient Stability Analysis
title_short	Extended Equal Area Criterion Revisited: A Direct Method for Fast Transient Stability Analysis
title_full	Extended Equal Area Criterion Revisited: A Direct Method for Fast Transient Stability Analysis
title_fullStr	Extended Equal Area Criterion Revisited: A Direct Method for Fast Transient Stability Analysis
title_full_unstemmed	Extended Equal Area Criterion Revisited: A Direct Method for Fast Transient Stability Analysis
title_sort	extended equal area criterion revisited: a direct method for fast transient stability analysis
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/67f0f305b1074762ac460b11694ca92d
work_keys_str_mv	AT alirezabahmanyar extendedequalareacriterionrevisitedadirectmethodforfasttransientstabilityanalysis AT damienernst extendedequalareacriterionrevisitedadirectmethodforfasttransientstabilityanalysis AT yvesvanaubel extendedequalareacriterionrevisitedadirectmethodforfasttransientstabilityanalysis AT quentingemine extendedequalareacriterionrevisitedadirectmethodforfasttransientstabilityanalysis AT camillepache extendedequalareacriterionrevisitedadirectmethodforfasttransientstabilityanalysis AT patrickpanciatici extendedequalareacriterionrevisitedadirectmethodforfasttransientstabilityanalysis
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Extended Equal Area Criterion Revisited: A Direct Method for Fast Transient Stability Analysis

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