Enhanced physics-inspired algorithm for optimal power flow with renewable energy integration using Coulomb’s and Franklin’s law under climate considerations

Saeid Jowkar; Amin Besharatiyan; Ali Esmaeel Nezhad; EhsanRahimi; Fariba Esmaeilnezhad; Toktam Tavakkoli Sabour; Mohammadamin Mobtahej; Afshin Canani

doi:10.1016/j.gloei.2025.05.006

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Enhanced physics-inspired algorithm for optimal power flow with renewable energy integration using Coulomb’s and Franklin’s law under climate considerations

Special Issue on Synergistic Optimization of Sustainable Energy Systems and Smart Grids | 更新时间：2026-02-03

- Enhanced physics-inspired algorithm for optimal power flow with renewable energy integration using Coulomb’s and Franklin’s law under climate considerations
- Enhanced physics-inspired algorithm for optimal power flow with renewable energy integration using Coulomb’s and Franklin’s law under climate considerations
- 全球能源互联网(英文) 2025年8卷第6期
- 作者机构：
  
  1. Department of Electrical, Electronic, and Information Engineering, University of Bologna, Viale Del Risorgimento 2,Bologna,Italy,40126
  2. Department of Electrical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran, University Sq, Najafabad,Isfahan,Iran
  3. Young Researchers and Elite Club, Shiraz Branch, Islamic Azad University Shiraz, 5th Km of Sadra Highway,Shiraz,Iran
  4. Department of Electrical Engineering, Lamar University, Beaumont,TX,United States
  5. Department of Engineering, Hitachi Rail,HI,Honolulu,United States
- 作者简介：
- 基金信息：
- DOI：10.1016/j.gloei.2025.05.006
  中图分类号：
- 纸质出版：2025
- 稿件说明：
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Saeid Jowkar, Amin Besharatiyan, Ali Esmaeel Nezhad, 等. Enhanced physics-inspired algorithm for optimal power flow with renewable energy integration using Coulomb’s and Franklin’s law under climate considerations[J]. 全球能源互联网(英文), 2025,8(6).

Saeid Jowkar, Amin Besharatiyan, Ali Esmaeel Nezhad, et al. Enhanced physics-inspired algorithm for optimal power flow with renewable energy integration using Coulomb’s and Franklin’s law under climate considerations[J]. Global Energy Interconnection, 2025, 8(6).
Saeid Jowkar, Amin Besharatiyan, Ali Esmaeel Nezhad, 等. Enhanced physics-inspired algorithm for optimal power flow with renewable energy integration using Coulomb’s and Franklin’s law under climate considerations[J]. 全球能源互联网(英文), 2025,8(6). DOI： 10.1016/j.gloei.2025.05.006.

Saeid Jowkar, Amin Besharatiyan, Ali Esmaeel Nezhad, et al. Enhanced physics-inspired algorithm for optimal power flow with renewable energy integration using Coulomb’s and Franklin’s law under climate considerations[J]. Global Energy Interconnection, 2025, 8(6). DOI： 10.1016/j.gloei.2025.05.006.

摘要

Abstract

Due to the climate-dependent nature of renewable energy sources (RESs)

solving the optimal power flow (OPF) problem in power systems that integrate RESs

such as photovoltaic (PV) units and wind turbines (WTs)

remains a significant challenge.To address this problem

this study presents an effective framework that incorporates solar and wind power generation.To manage the nonconvex and nonlinear characteristics of the OPF problem

a modified physics-inspired algorithm termed the Enhanced Coulomb’s and Franklin’s laws Algorithm (ECFA)

is deployed.In the proposed OPF model

the power generated from RESs is considered a dependent variable

while voltages at buses equipped with RESs serve as decision variables.Real-time data on solar irradiation and wind speed are used to model the power outputs of PV units and WTs

respectively.Although the Coulomb’s and Franklin’s law algorithm (CFA) offers some advantages

it underperforms on complex optimization tasks compared to SSA

SCA

ABC

and CFA.The enhanced version of the CFA improves the search process across the feasible space by incorporating diverse interaction methods and enhancing exploitation capabilities.The performance of the proposed ECFA is assessed through comprehensive comparisons with state-of-the-art methods for solving the OPF problem.

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