Article
Power System Restoration Using Closeness Centrality and Degree of a Node
Proc. of The Cigre Egypt 2019 Conference, The Future of Electricity Grids - Challenges and Opportunities, Paper No. 105, 6-8 March 2019, Cairo, Egypt.
(2019)
Abstract
SUMMARY
Economic competitions and deregulation of electric power systems over the world have led to operation of these systems closer to their technical limits. These are accompanied by increasing in size and complexity of recent power systems. Unfortunately, these factors would increase the risk of system outages and probability of blackout. If a blackout occurs, the power system should be restored as quickly and reliably as possible to avoid long disconnection of supply to customers.
This paper presents two methods for power system restoration process. The first method is based on the electrical closeness centrality. In an electrical network, the electrical closeness centrality of a node (bus) may be defined as the average length (impedance) of the shortest path (line) between the node and all other nodes (buses) in the network. The bus which has the highest closeness centrality is selected as the first node to be restored provided that a nearby generating unit with black start facility is available. The restoration process is continued by selecting the bus with the next highest closeness centrality. The second method measures the importance of buses in the outage area based on the degree of a node (bus) as defined in the graph theory. The degree of a node (bus) of a graph (network) is the number of edges (lines) incident to the node. The IEEE 10-generators 39-bus power system model is employed to illustrate the features of the proposed methods. DIgSILENT professional software is used to simulate the system. Simulation results are presented to show the effectiveness of the proposed restoration methods. The results include steady-state percentage loading of generators, transmission lines and transformers in addition to per-unit voltage at buses. All are within allowable operating limits.
Keywords
- Blackout,
- Power System Restoration,
- Electrical Closeness,
- Degree of a Bus,
- Graph Theory
Disciplines
Publication Date
March 6, 2019
Citation Information
Omar H. Abdalla, Alaa Noor Eldin, Adel A. Emary and Azmi W. Farid. "Power System Restoration Using Closeness Centrality and Degree of a Node" Proc. of The Cigre Egypt 2019 Conference, The Future of Electricity Grids - Challenges and Opportunities, Paper No. 105, 6-8 March 2019, Cairo, Egypt. (2019) Available at: http://works.bepress.com/omar/68/