DEPLOYMENT OF A MISOCP MODEL FOR SERVICE RESTORATION IN ELECTRICAL DISTRIBUTION GRIDS IN THE PRESENCE OF DISTRIBUTED GENERATION

Võ Trọng Sáng; Nguyễn Duy Đức; Nguyễn Trung Hải; Phạm Năng Văn

doi:10.34238/tnu-jst.12563

DEPLOYMENT OF A MISOCP MODEL FOR SERVICE RESTORATION IN ELECTRICAL DISTRIBUTION GRIDS IN THE PRESENCE OF DISTRIBUTED GENERATION

About this article

Received: 13/04/25 Revised: 04/08/25 Published: 04/08/25

Authors

1. Vo Trong Sang, School of Electrical and Electronic Engineering - Hanoi University of Science and Technology
2. Nguyen Duy Duc, School of Electrical and Electronic Engineering - Hanoi University of Science and Technology
3. Nguyen Trung Hai, School of Electrical and Electronic Engineering - Hanoi University of Science and Technology
4. Pham Nang Van , School of Electrical and Electronic Engineering - Hanoi University of Science and Technology

Abstract

This paper proposes a model based on second-order conic programming with integer variables to determine the optimal structure of distribution grids following faults. The objective is to minimize the total lost power load based on the priority levels of the loads. The constraints considered in the proposed optimization model include the radial topology of distribution networks, the node power balance equations, the voltage-controlled bus and load bus models of distributed generation, node voltage limits, and transmission power limits on the branches. The optimization framework is derived from a formulation based on nonlinear programming with integer variables by constructing a conic quadratic model of the node power balance equations. The suggested optimization model is verified on the IEEE test distribution system with 33 buses and 190 buses using the CPLEX optimizer and the GAMS programming environment. Different scenarios regarding the location of incidents on the distribution grid are compared. The calculation results show that the model and penetration level of distributed energy units significantly affect the optimal operation topology and restored load power of the distribution grids following a fault. The proposed method in this study provides an effective tool to enhance the reliability of electricity supply and reduce economic losses due to power outages in distribution networks.

Keywords

Service restoration; Power distribution grids; Distributed generation; Mixed-integer second-order cone programming; Mixed-integer nonlinear programming

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DOI: https://doi.org/10.34238/tnu-jst.12563

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