A fast method for islanding analysis in power system grids

Topological analysis of unbalanced distribution networks with single‐phase switching equipment and temporary elements

“…Jia and Xu propose a graph‐algebraic model based on the spectral analysis for detection of emerging islands. The method in Theodor EAR et al uses the triangular factorization of the incidence matrix to identify branches in the network where failures (outages) cause power system islanding. As an output, only topological islands are detected in the approaches mentioned above …”

“…Numerical algorithms [1][2][3][4][5][6] are commonly based on an adjacent matrix or an incidence matrix. The method in Yao et al 1 uses the adjacent matrix and Gaussian elimination to discover galvanically connected nodes.…”

“…As an output, only topological islands are detected in the approaches mentioned above. 5,6 Algorithms that use phasor measurement units are not sufficiently reliable for monitoring of topological changes (specifically, they cannot guarantee 100% accuracy, as reported in Cavraro et al and Sharon et al 7,8 ) due to the low percentage of the telemetered measurement units in distribution networks.In general, the main drawback of all the numerical algorithms mentioned is the absence of a network-layered structure, which is necessary for advanced power functions (eg, forward/backward sweeping methods, which are typically used with weakly meshed networks).The graph-theoretical algorithms in Dzafic et al, Selvan and Swarup, Lijun et al, Ma et al, He et al, Li et al, and Deng et al 9-15 provide the tracing capability, typically using the breadth-first and depth-first search algorithms. These papers commonly use the node-breaker model for searching, which requires processing each switchgear status during the network search.…”

“…As an output, only topological islands are detected in the approaches mentioned above. 5,6 Algorithms that use phasor measurement units are not sufficiently reliable for monitoring of topological changes (specifically, they cannot guarantee 100% accuracy, as reported in Cavraro et al and Sharon et al 7,8 ) due to the low percentage of the telemetered measurement units in distribution networks.…”

Um método grafo-algébrico para projeto de ilhamento controlado em Sistemas Elétricos de Potência

“…o grafo agregado G X ′é composto pelos nós X ′ e pelo nó fictício A, tal que todas as arestas H for igual a n − p. ALBERTO, 2011), então a partir da estrutura de H podemos afirmar que: .., p, tem exa-tamente dois elementos diferentes de zero em suas colunas, cada uma dessas matrizes pode ser admitida como a de uma matriz incidência nó-ramo associado a um subgrafo…”