OPTIMAL ALLOCATION OF SHUNT CAPACITORS IN ELECTRICAL DISTRIBUTION GRIDS CONSIDERING DAILY LOAD PATTERNS | Giang | TNU Journal of Science and Technology

OPTIMAL ALLOCATION OF SHUNT CAPACITORS IN ELECTRICAL DISTRIBUTION GRIDS CONSIDERING DAILY LOAD PATTERNS

About this article

Received: 03/03/25                Revised: 25/05/25                Published: 26/05/25

Authors

1. Phan Xuan Giang, School of Electrical and Electronic Engineering - Hanoi University of Science and Technology
2. Pham Nang Van Email to author, School of Electrical and Electronic Engineering - Hanoi University of Science and Technology

Abstract


This study presents a formulation based on second-order conic programming with integer variables to find the globally optimal solution for the problem of determining the location and size of shunt capacitors, considering the influence of daily load profiles. The objective function is to minimize the total annualized cost while satisfying constraints related to the power grid and capacitors. The proposed model originates from a nonlinear optimization approach with integer variables. The evaluation of the proposed optimization model is performed on the IEEE 33-bus system and the Vietnamese realistic 54-bus system with four scenarios using the GUROBI solver in the GAMS programming environment. The computational results show that the optimal location and capacity of the capacitors for these scenarios are different, with the total installed power for the scenario with merely residential loads being the greatest on both systems. Furthermore, the voltage profile on the grid varies significantly across the four scenarios. The cause of these results is due to the four scenarios having different shapes of the load curves, including differences in the total energy consumption, the ratio of maximum to minimum powers, and the average load power.

Keywords


Power distribution systems; Energy loss; Shunt capacitors; Daily load patterns; Mixed-integer second-order cone programming

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DOI: https://doi.org/10.34238/tnu-jst.12198

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