DEPLOYMENT OF MIXED-INTEGER NONLINEAR PROGRAMMING MODEL FOR CONDUCTOR SIZE OPTIMIZATION IN POWER DISTRIBUTION GRIDS CONSIDERING DAILY LOAD PATTERNS

Phạm Chí Công; Nguyễn Thị Hoài Thu; Phạm Năng Văn

doi:10.34238/tnu-jst.11690

DEPLOYMENT OF MIXED-INTEGER NONLINEAR PROGRAMMING MODEL FOR CONDUCTOR SIZE OPTIMIZATION IN POWER DISTRIBUTION GRIDS CONSIDERING DAILY LOAD PATTERNS

About this article

Received: 13/12/24 Revised: 22/01/25 Published: 22/01/25

Authors

1. Pham Chi Cong, School of Electrical and Electronic Engineering - Hanoi University of Science and Technology
2. Nguyen Thi Hoai Thu, School of Electrical and Electronic Engineering - Hanoi University of Science and Technology
3. Pham Nang Van , School of Electrical and Electronic Engineering - Hanoi University of Science and Technology

Abstract

Choosing the optimal cross-section of conductors is one of the essential tasks in planning the distribution network. This study presents a nonlinear optimization model with binary variables to determine the size of conductors in distribution grids, considering the impact of the daily load profile. The objective function aimed to minimize the lifetime cost of the power grid while complying with the power flow equations, line thermal limits, voltage bounds at the nodes, and the main feeder using the same conductor cross-section. The proposed optimization formulation was validated on an IEEE 33-bus distribution network with four computational scenarios using GAMS software and KNITRO optimizer. The calculation results show that the optimal conductor sizes for the scenarios are different, with the conductor size for the scenario with only residential loads being the highest. However, the energy loss of the grid corresponding to this scenario is the lowest. At the same time, the voltage pattern on the power grid of four scenarios is also distinct. Therefore, the shape of the daily load curve needs to be considered when selecting the conductor size for the distribution network.

Keywords

Electrical distribution grids; Optimal conductor size; Lifetime cost; Daily load pattern; Nonlinear programming with binary variables

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DOI: https://doi.org/10.34238/tnu-jst.11690

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