Designing a Convex Optimization Model for Self-healing of a Smart Distribution Network

Document Type : Original Article

Authors

1 PhD Student, Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran.

2 Assistant Professor, Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran.

3 Professor, Department of Electrical Engineering, Faculty of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran.

Abstract

Self-healing is used to automatically repair the distribution system in the event of a fault. One way to reduce without service customers is to operate the faulty area as an island. However, the island is formed optimally when the island is formed online after the fault. If the island is determined before the fault, the optimal margin of the island will not be formed and the number of customers without electricity might increase. In this article, island building is carried out online after the fault. One of the most important problems after a fault occurs is the quick solution of the problem. Since nonlinear models greatly increase the solving time, in the proposed method, the problem is transformed from a non-convex MINLP model to a convex model. As a result, the proposed model can be answered in a very short time. The second point in the problem of self-healing optimization is to achieve the optimal global solution. The optimization problem is carried out by the convex optimization method. Because in convex problems there is only one optimal, the proposed method ensures the achievement of the optimal global solution. A variety of dispatchable and non-dispatchable distributed generation sources were used. Load and production modeling was also undertaken in a probabilistic space because considering the uncertainty, it can be said that the proposed model can be resistant to such events. After determining the optimal microgrid, the optimal production of distributed generation resources and load shedding was carried out to balance the system power. The IEEE 33-bus system was used to demonstrate the efficiency of the proposed method. 

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