Iterative method for detecting and localizing islands within sparse matrixes using DSSim-RT
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2015-07-30
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Abstract
Nowadays, simulation for power flow analysis of
distribution systems must consider their separation in several
islands. This separation is the result of management activities
such as reconfiguration, fault detection and isolation, among
others. For power flow analysis the distribution system is
represented as sparse matrix; however, if these islands are not
considered the results can be inaccurate and inconsistent. There
are several methods for detecting islands reported in literature,
but these methods normally require that the Y matrix is
organized in special form. This situation is not always possible
because is the user who defines the order of the matrix when
using simulation software. This paper presents an algorithm for
detecting and localizing islands within sparse matrixes no matter
the order of the elements of the matrix. By using graph theory,
the incidence matrix of the power system can be transformed into
its adjacent representation. With this matrix the interconnected
elements are detected and classified. Then, with this new
reference matrix the algorithm delivers number of islands, the
suggested order for the columns of the Y matrix and more
information. The aim is to simplify the localization of islands
with a simple algorithm, which can be implemented using any
programing language. This method is used in DSSim-RT, which
is a simulator based in OpenDSS, for detecting islands and
performing the multithread power flow analysis of distribution
systems in Real-Time.
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