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AIMS Mathematics
Article . 2024 . Peer-reviewed
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AIMS Mathematics
Article . 2024
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https://dx.doi.org/10.60692/wz...
Other literature type . 2024
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Other literature type . 2024
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An optimal power flow solution for a power system integrated with renewable generation

حل مثالي لتدفق الطاقة لنظام طاقة متكامل مع التوليد المتجدد
Authors: Hisham Alghamdi; Lyu-Guang Hua; M. Riaz; Ghulam Hafeez; Safeer Ullah; Monji Zaidi; Mohammed Jalalah;

An optimal power flow solution for a power system integrated with renewable generation

Abstract

<abstract> <p>Integrating Green Renewable Energy Sources (GRES) as substitutes for fossil fuel-based energy sources is essential for reducing harmful emissions. The GRES are intermittent and their integration into the conventional IEEE 30 bus configuration increases the complexity and nonlinearity of the system. The Grey Wolf optimizer (GWO) has excellent exploration capability but needs exploitation capability to enhance its convergence speed. Adding particle swarm optimization (PSO) with excellent convergence capability to GWO leads to the development of a novel algorithm, namely a Grey Wolf particle swarm optimization (GWPSO) algorithm with excellent exploration and exploitation capabilities. This study utilizes the advantages of the GWPSO algorithm to solve the optimal power flow (OPF) problem for adaptive IEEE 30 bus systems, including thermal, solar photovoltaic (SP), wind turbine (WT), and small hydropower (SHP) sources. Weibull, Lognormal, and Gumbel probability density functions (PDFs) are employed to forecast the output power of WT, SP, and SHP power sources after evaluating 8000 Monte Carlo possibilities, respectively. The multi-objective green economic optimal solution consisted of 11 control variables to reduce the cost, power losses, and harmful emissions. The proposed method to address the OPF problem is validated using an adaptive IEEE bus system. The proposed GWPSO algorithm is evaluated by comparing it with PSO and GWO optimization algorithms in terms of achieving an optimal green economic solution for the adaptive IEEE 30 bus system. This evaluation is conducted within the confines of the same test system using identical system constraints and control variables. The integration of a small SHP with WT and SP sources, along with the proposed GWPSO algorithm, led to a yearly cost reduction ranging from <bold>$\$$19,368</bold> to <bold>$\$$30,081</bold>. Simulation findings endorsed that the proposed GWPSO algorithm executes fruitfully compared to alternative algorithms regarding a consistent convergence curve and robustness, proving its potential as a viable choice for achieving cost-effective solutions in power systems incorporating GRES.</p> </abstract>

Keywords

Optimization, Renewable energy, Economics, Renewable Energy Integration, Quantum mechanics, Electric power system, photovoltaic, Engineering, QA1-939, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, wind, optimal power flow, Electrical and Electronic Engineering, Photovoltaic system, Economic growth, Optimal Power Flow, Particle swarm optimization, Physics, Mathematical optimization, green distributed generation, Electricity Market Operation and Optimization, Power (physics), Computer science, hydropower, Integration of Distributed Generation in Power Systems, power system, Control and Systems Engineering, Electrical engineering, Physical Sciences, Convergence (economics), Wind Power Forecasting, Control and Synchronization in Microgrid Systems, Grid Synchronization, Wind power, Mathematics

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    6
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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Average
Top 10%
gold