Abstract
Network partitioning is a popular research topic. Not all available partitioning methods are equally suitable for power grids. Community detection is a critical issue in complex network theory, and power grid is a typical type of complex network. This paper proposes a functional community structure based on an extended weighted network model. An extended adjacency matrix is used to represent an extended weighted complex network model based on coupling strength rather than the conventional adjacency matrix. Meanwhile, we upgraded the Newman fast algorithm of community detection for establishing a novel power grid partitioning algorithm. The electrical coupling strength (ECS) is defined to better reflect electrical characteristics between any two nodes in power grid. Modularity is also redefined as electrical modularity based on ECS. The Newman fast algorithm is upgraded with electrical modularity maximization as the objective to detect functional communities in power grids. A case study on IEEE test systems with 30, 39, 118, 300 buses and one Italian power network demonstrates the rationality of the extended weighted network model and partitioning algorithm.
Highlights
Reasonable partitioning is an important prerequisite for the effective operation and control of power grids
Reasonable partitioning is crucial for successful power grid operation and control
This paper proposed a power grid partitioning method which works by detecting functional community structures from the complex network perspective
Summary
Reasonable partitioning is an important prerequisite for the effective operation and control of power grids. 3) The Newman fast algorithm is upgraded to include electrical modularity and to detect functional community structures for power grid partitioning. There is no direct connection between node C and node D, or nodes B and D, the weight between these two nodes is zero in the adjacency matrix This conventional network model only indicates the connections among nodes and neglects the functional ability in transmission between nodes. The corresponding value of the peak division is determined as the best fit to the desired community structure division [18] This Newman fast algorithm has significant disadvantages when utilized for functional community detection, as shown, where solid lines express a direct connection for each bus and dashed lines are non-direct connections. The magnitude of Eab is possibly higher than Evw. In this study, we integrated the ECS and the Newman fast algorithm to detect functional community structures in power grids
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