Evaluation of Optimization and Bi-objective Reconfiguration of Distribution Systems in the Presence of Distributed Generation Units Using a Mixed-Integer Nonlinear Programming Model

Document Type : Original Article

Authors

Department of Electrical Engineering, Na. C., Islamic Azad University, Najafabad, Iran

Abstract

In this paper, a novel mathematical formulation based on Mixed-Integer Nonlinear Programming (MINLP) is proposed, which for the first time solves the integrated problem of distribution system reconfiguration and distributed generation (DG) placement without using trigonometric functions and Without considering linear approximations; instead, it leverages the node-branch incidence matrix and the real-imaginary components of voltage and current. This model reduces computational complexity; it also ensures that a global optimal solution is attained through the branch-and-bound method in GAMS software. The primary objectives of the reconfiguration and optimal DG placement in distribution systems are to minimize active power losses, to reduce voltage deviation, and to improve voltage profiles. A bi-objective function is defined to enhance the efficiency of radial distribution systems; it provides an effective strategy while adhering to system constraints by considering total active power losses and voltage deviation. Simulation results on 33-bus and 69-bus distribution systems demonstrate the superior performance of the proposed method compared to the existing approaches. The results reveal that, owing to the elimination of trigonometric functions and the integrated optimization of both problems, the proposed method achieves 72.97% and 83.55% reductions in total active power losses for the 33-bus and 69-bus systems respectively. Additionally, voltage deviation in these systems is reduced by 94.77% and 96.99%  respectively.

Keywords

Main Subjects

References

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Energy Engineering and Management
Volume 14, Issue 3
March 2025
Pages 28-47

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