Master's Dissertation
DOI
https://doi.org/10.11606/D.18.2014.tde-18072014-095619
Document
Author
Full name
Paulo Victor Lameira de Souza
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2014
Supervisor
Committee
Alberto, Luís Fernando Costa (President)
Bretas, Arturo Suman
Delbem, Alexandre Cláudio Botazzo
Title in Portuguese
Um método grafo-algébrico para projeto de ilhamento controlado em Sistemas Elétricos de Potência
Keywords in Portuguese
Aplicações da matriz de incidência
Ilhamento intencional
Método grafo-algébrico
Sistemas Elétricos de Potência
Abstract in Portuguese
Title in English
A graph-algebraic method for the design of controlled islanding in Electric Power Systems
Keywords in English
Algebraic-graph methods
Electric Power Systems
Incidence matrices
Intentional islanding
Abstract in English
In this work , a new graph-algebraic method for the design of intentional islanding is proposed. Intentional islanding is one of the last resources used by the Power Electrical System Operators to avoid a total collapse of the electrical system. It aims to divide a power system into two or more stable subsystems when it is not possible to guarantee the stability of the interconnected system. The developed method is an extension of a graph-algebraic method, which is based on a factorization of the branch-node incidence matrix and which was developed to identify unintended islanding, to the problem of intended. The unprecedented contribution of this work is the application of the factorization of the incidence branch-node matrix in the design of islanding control. The proposed method identifies the cutsets, composed of transmission lines / transformers (branches) , able to divide a connected Electrical Power System in two or more subsystems (islands), under the constraint of a minimum number of interrupted branches or minimal interruption of power flow. The identification of cutsets are made through an ordered factorization of the incidence branch node matrix and a regularization process of cutsets. The method has been tested with promising results in some electrical systems of small and medium size. It has shown good characteristics which suggests that it is suitable for real-time applications. The method automatically provides the set of buses that form each island, it easily adapts to changes in topology and can be easily implemented with routines that are already developed in existing computer programs commonly used for analysis of electric power systems. Further work is needed to test the methodology in larger systems to evaluate the computational efficiency of the method and compare with the efficiency of other methods reported in the literature.

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Publishing Date
2014-07-23

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