Reactive Voltage Partitioning Method Based on Spectral Clustering

Abstract

The invention relates to the voltage control of the electric power field and especially relates to a reactive voltage partitioning method based on spectral clustering. A topologic matrix with a weight is used to construct a simplified power grid model. According to a spectral clustering definition, a Laplace matrix is acquired. Through an improved K-means clustering algorithm, clustering is performed on different characteristic vectors in a characteristic matrix. During clustering, modularity Q is introduced to be taken as an index of measuring an area partitioning quality. A partitioning scheme with a largest modularity Q value is selected as an initial partitioning scheme. Connectivity verification and reactive verification are performed on each area of the initial partitioning scheme. If the area can not simultaneously satisfy two conditions of area static state reactive balance and an enough reactive reserve margin, under the condition that a value of partitioning modularity Q does not change greatly, node adjusting is performed till that all the verification conditions are satisfied. In the invention, a topology structure of a complex power grid is embodied, calculating complexity is reduced, an integration evaluation system is established based on the modularity, the reactive balance and a reactive reserve index, and integration verification is performed on a partitioning result so as to ensure feasibility of the partitioning scheme.

Description

technical field [0001] The invention relates to voltage control in the electric power field, in particular to a reactive voltage partitioning method based on spectrum clustering. Background technique [0002] In recent years, in order to meet the new demand for energy from the rapid development of various industries, the scale of power grids in various countries has been expanding day by day. In order to effectively monitor the reactive power and voltage of nodes in real time and ensure the effective and stable operation of the power grid, the number of nodes that need voltage monitoring has also increased. . In view of this, France proposed a three-level voltage control mode, which has been applied to the power grids of many countries. In the three-level voltage control mode, a reasonable regional division of the power grid is the key link. The fundamental task of reactive power and voltage partitioning is to decompose the large power grid into several sub-regions with st...

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Problems solved by technology

However, these schemes use the sensitivity matrix of grid reactive power to voltage changes to reflect the electrical distance between nodes, which is complex to calculate and fails to reflect the topology of complex grids.

When the power grid nodes are large, the calculation amount of the clustering algorithm will increase rapidly, and it is easier to fall into the local optimum rather than the global optimum

At the same time, most of the existing reactive power and voltage partition schemes use a single index for reactive power verification, which cannot ensure the feasibility of the partition scheme

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