Optimal Siting and Capacity of Photovoltaic Distribution Generator in Radial Distribution Networks Using the Salp Swarm Algorithm and Geometric Mean Optimiser
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Abstract
This research presents an optimisation framework for determining the optimal location and capacity of photovoltaic distribution generators (PVDGs) in radial distribution networks (RDNs) using two recent algorithms: the Salp Swarm Algorithm (SSA) and the Geometric Mean Optimiser (GMO). Unlike previous studies that treat distributed generation (DG) systems generically, this work offers a detailed modelling approach to PVDG power output and its direct impact on network performance. The framework is tested on both a standard IEEE 33-bus system and a practical Iraqi 66-bus system. Results show significant improvements in network performance after integrating optimal PVDG units, with power losses reduced by 61.334% and 61.571% using SSA and GMO, respectively, in the IEEE 33-bus system, and by 67.660% and 69.781% in the Iraqi 66-bus system. Additionally, the voltage stability index improved by 15.317% and 15.690% in the IEEE system and by 11.568% and 12.689% in the Iraqi system. The GMO algorithm demonstrated superior computational efficiency, converging faster and requiring fewer iterations than SSA. The accuracy and reliability of the results are further validated through comparison with previous work.
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Journal of Studies in Science and Engineering is licensed under a Creative Commons Attribution License 4.0 (CC BY-4.0).
References
A. Y. Saber and G. K. Venayagamoorthy, "Plug-in vehicles and renewable energy sources for cost and emission reductions," IEEE Transactions on Industrial Electronics, vol. 58, no. 4, pp. 1229-1238, 2011, doi: https://doi.org/10.1109/TIE.2010.2047828.
K. M. Muttaqi, A. D. Le, M. Negnevitsky, and G. Ledwich, "An algebraic approach for determination of DG parameters to support voltage profiles in radial distribution networks," IEEE Transactions on Smart Grid, vol. 5, no. 3, pp. 1351-1360, 2014, doi: https://doi.org/10.1109/TSG.2014.2303194.
S. Saha and V. Mukherjee, "Optimal placement and sizing of DGs in RDS using chaos embedded SOS algorithm," IET Generation, Transmission & Distribution, vol. 10, no. 14, pp. 3671-3680, 2016, doi: https://doi.org/10.1049/iet-gtd.2016.0151.
M. Ayalew et al., "Integration of renewable based distributed generation for distribution network expansion planning," Energies, vol. 15, no. 4, p. 1378, 2022, doi: https://doi.org/10.3390/en15041378.
D. Stanelytė and V. Radziukynas, "Analysis of voltage and reactive power algorithms in low voltage networks," Energies, vol. 15, no. 5, p. 1843, 2022, doi: https://doi.org/10.3390/en15051843.
Y. Rashid, M. Ismail, B. Hussein, and S. Ibrahim, "A Multi-Objective Harmony Search Algorithm for Optimal Allocation and Sizing of Multi-Renewable Energy-Based DG and DSTATCOM in Radial Distribution Systems," International Review of Electrical Engineering (IREE), vol. 19, no. 4, pp. 283-299, 2024, doi: https://doi.org/10.15866/iree.v19i4.24848.
P. S. Georgilakis and N. D. Hatziargyriou, "Optimal distributed generation placement in power distribution networks: models, methods, and future research," IEEE Transactions on Power Systems, vol. 28, no. 3, pp. 3420-3428, 2013, doi: https://doi.org/10.1109/TPWRS.2012.2237043.
M. R. Dorostkar-Ghamsari, M. Fotuhi-Firuzabad, M. Lehtonen, and A. Safdarian, "Value of distribution network reconfiguration in presence of renewable energy resources," IEEE Transactions on Power Systems, vol. 31, no. 3, pp. 1879-1888, 2016, doi: https://doi.org/10.1109/TPWRS.2015.2457954.
A. Ali, D. Raisz, and K. Mahmoud, "Optimal oversizing of utility-owned renewable DG inverter for voltage rise prevention in MV distribution systems," International Journal of Electrical Power & Energy Systems, vol. 105, pp. 500-513, 2019, doi: https://doi.org/10.1016/j.ijepes.2018.08.040.
R. Ufa, Y. Y. Malkova, V. Rudnik, M. Andreev, and V. Borisov, "A review on distributed generation impacts on electric power system," International Journal of Hydrogen Energy, vol. 47, no. 47, pp. 20347-20361, 2022, doi: https://doi.org/10.1016/j.ijhydene.2022.04.142.
S. Ekinci, D. Izci, and A. G. Hussien, "Comparative analysis of the hybrid gazelle‐Nelder–Mead algorithm for parameter extraction and optimization of solar photovoltaic systems," IET Renewable Power Generation, vol. 18, no. 6, pp. 959-978, 2024, doi: https://doi.org/10.1049/rpg2.12974.
L. A. Devarajah, M. A. Ahmad, and J. J. Jui, "Identifying and estimating solar cell parameters using an enhanced slime mould algorithm," Optik, vol. 311, p. 171890, 2024, doi: https://doi.org/10.1016/j.ijleo.2024.171890.
N. Rosmizi, J. J. Jui, M. S. Islam, and M. A. Ahmad, "Improved tunicate swarm optimizer for solar cells parameter identification," Engineering Optimization, pp. 1-34, 2025, doi: https://doi.org/10.1080/0305215X.2025.2579618.
A. Pawar, R. Viral, D. Asija, and M. Bansal, "Combined Allocation of Renewable-Based Distributed Generators and Shunt Capacitor Banks in Distribution Networks with Electric Vehicle Load Penetration," Journal of Studies in Science and Engineering, vol. 5, no. 1, pp. 63-83, 2025, doi: https://doi.org/10.53898/josse2025514.
I. M. Jawad and W. S. Majeed, "Congestion mitigation in distribution network by integrated distributed generations for improving voltage profiles and minimizing the losses," Journal of Engineering and Sustainable Development, vol. 25, no. 2, pp. 78-87, 2021, doi: https://doi.org/10.31272/jeasd.25.2.9.
W. S. Majeed and G. H. Abedali, "Reliability Improvement in Distribution System by Injected Distributed Generation Based on Zone Branches Methodology," Journal of Engineering and Sustainable Development, vol. 24, no. 1, pp. 79-93, 2020, doi: https://doi.org/10.31272/jeasd.24.1.6.
R. Viral and D. K. Khatod, "An analytical approach for sizing and siting of DGs in balanced radial distribution networks for loss minimization," International Journal of Electrical Power & Energy Systems, vol. 67, pp. 191-201, 2015, doi: https://doi.org/10.1016/j.ijepes.2014.11.017.
K. Mahmoud, N. Yorino, and A. Ahmed, "Optimal distributed generation allocation in distribution systems for loss minimization," IEEE Transactions on Power Systems, vol. 31, no. 2, pp. 960-969, 2015, doi: https://doi.org/10.1109/TPWRS.2015.2418333.
P. Kayal, S. Chanda, and C. K. Chanda, "An analytical approach for allocation and sizing of distributed generations in radial distribution network," International Transactions on Electrical Energy Systems, vol. 27, no. 7, p. e2322, 2017, doi: https://doi.org/10.1002/etep.2322.
A. A. Abou El-Ela, R. A. El-Sehiemy, and A. S. Abbas, "Optimal placement and sizing of distributed generation and capacitor banks in distribution systems using water cycle algorithm," IEEE Systems Journal, vol. 12, no. 4, pp. 3629-3636, 2018, doi: https://doi.org/10.1109/JSYST.2018.2796847.
T. D. Pham, T. T. Nguyen, and B. H. Dinh, "Find optimal capacity and location of distributed generation units in radial distribution networks by using enhanced coyote optimization algorithm," Neural Computing and Applications, vol. 33, no. 9, pp. 4343-4371, 2021, doi: https://doi.org/10.1007/s00521-020-05239-1.
G. A. Salman and L. T. Al-Bahrani, "Enhancement of radial distribution network based on optimal location and sizing of photoVoltaic distributed generation using mountain gazelle optimizer and eel and grouper optimizer," International Journal on Smart Sensing and Intelligent Systems, vol. 18, no. 1, pp. 1-17, 2025, doi: https://doi.org/10.2478/ijssis-2025-0057.
A. Q. Mohammed, K. A. Al-Anbarri, and R. M. Hannun, "Using particle swarm optimization to find optimal sizing of PV-BS and diesel generator," Journal of Engineering and Sustainable Development, vol. 25, no. 3, pp. 51-59, 2021, doi: https://doi.org/10.31272/jeasd.25.3.6.
M. Khasanov, S. Kamel, E. Halim Houssein, C. Rahmann, and F. A. Hashim, "Optimal allocation strategy of photovoltaic-and wind turbine-based distributed generation units in radial distribution networks considering uncertainty," Neural Computing and Applications, vol. 35, no. 3, pp. 2883-2908, 2023, doi: https://doi.org/10.1007/s00521-022-07715-2.
S. Nagaballi and V. S. Kale, "Pareto optimality and game theory approach for optimal deployment of DG in radial distribution system to improve techno-economic benefits," Applied Soft Computing, vol. 92, p. 106234, 2020, doi: https://doi.org/10.1016/j.asoc.2020.106234.
A. M. Imran, M. Kowsalya, and D. Kothari, "A novel integration technique for optimal network reconfiguration and distributed generation placement in power distribution networks," International Journal of Electrical Power & Energy Systems, vol. 63, pp. 461-472, 2014, doi: https://doi.org/10.1016/j.ijepes.2014.06.011.
R. S. Rao, K. Ravindra, K. Satish, and S. Narasimham, "Power loss minimization in distribution system using network reconfiguration in the presence of distributed generation," IEEE Transactions on Power Systems, vol. 28, no. 1, pp. 317-325, 2013, doi: https://doi.org/10.1109/TPWRS.2012.2197227.
M. Kowsalya, "Optimal size and siting of multiple distributed generators in distribution system using bacterial foraging optimization," Swarm and Evolutionary Computation, vol. 15, pp. 58-65, 2014, doi: https://doi.org/10.1016/j.swevo.2013.12.001.
A. El-Fergany, "Optimal allocation of multi-type distributed generators using backtracking search optimization algorithm," International Journal of Electrical Power & Energy Systems, vol. 64, pp. 1197-1205, 2015, doi: https://doi.org/10.1016/j.ijepes.2014.09.020.
S. Sultana and P. K. Roy, "Multi-objective quasi-oppositional teaching learning based optimization for optimal location of distributed generator in radial distribution systems," International Journal of Electrical Power & Energy Systems, vol. 63, pp. 534-545, 2014, doi: https://doi.org/10.1016/j.ijepes.2014.06.031.
S. Sharma, S. Bhattacharjee, and A. Bhattacharya, "Quasi-Oppositional Swine Influenza Model Based Optimization with Quarantine for optimal allocation of DG in radial distribution network," International Journal of Electrical Power & Energy Systems, vol. 74, pp. 348-373, 2016, doi: https://doi.org/10.1016/j.ijepes.2015.07.034.
A. Ehsan and Q. Yang, "Optimal integration and planning of renewable distributed generation in the power distribution networks: A review of analytical techniques," Applied Energy, vol. 210, pp. 44-59, 2018, doi: https://doi.org/10.1016/j.apenergy.2017.10.106.
A. Ameli, S. Bahrami, F. Khazaeli, and M.-R. Haghifam, "A multiobjective particle swarm optimization for sizing and placement of DGs from DG owner's and distribution company's viewpoints," IEEE Transactions on Power Delivery, vol. 29, no. 4, pp. 1831-1840, 2014, doi: https://doi.org/10.1109/TPWRD.2014.2300845.
P. Pon Ragothama Priya, S. Baskar, S. Tamil Selvi, and C. Babulal, "Optimal allocation of distributed generation using evolutionary multi-objective optimization," Journal of Electrical Engineering & Technology, vol. 18, no. 2, pp. 869-886, 2023, doi: https://doi.org/10.1007/s42835-022-01269-y.
S. Settoul, R. Chenni, M. Zellagui, and H. Nouri, "Optimal integration of renewable distributed generation using the whale optimization algorithm for techno-economic analysis," in International Conference on Electrical Engineering and Control Applications, 2019: Springer, pp. 513-532, doi: https://doi.org/10.1007/978-981-15-6403-1_35.
A. Selim, S. Kamel, F. Jurado, J. A. P. Lopes, and M. Matos, "Optimal setting of PV and battery energy storage in radial distribution systems using multi‐objective criteria with fuzzy logic decision‐making," IET Generation, Transmission & Distribution, vol. 15, no. 1, pp. 135-148, 2021, doi: https://doi.org/10.1049/gtd2.12019.
G. A. Adepoju, S. A. Salimon, I. G. Adebayo, and O. B. Adewuyi, "Impact of DSTATCOM penetration level on technical benefits in radial distribution network," e-Prime-Advances in Electrical Engineering, Electronics and Energy, vol. 7, p. 100413, 2024, doi: https://doi.org/10.1016/j.prime.2023.100413.
H. Gao, R. Diao, Y. Zhong, R. Zeng, Q. Wu, and S. Jin, "Optimal allocation of distributed generation in active distribution power network considering HELM-based stability index," International Journal of Electrical Power & Energy Systems, vol. 155, p. 109508, 2024, doi: https://doi.org/10.1016/j.ijepes.2023.109508.
K. E. Adetunji, I. W. Hofsajer, A. M. Abu-Mahfouz, and L. Cheng, "A review of metaheuristic techniques for optimal integration of electrical units in distribution networks," IEEE Access, vol. 9, pp. 5046-5068, 2020, doi: https://doi.org/10.1109/ACCESS.2020.3048438.
N. Belbachir, S. Kamel, F. A. Hashim, J. Yu, H. Zeinoddini‐Meymand, and S. F. Sabbeh, "Optimizing the hybrid PVDG and DSTATCOM integration in electrical distribution systems based on a modified homonuclear molecules optimization algorithm," IET Renewable Power Generation, vol. 17, no. 12, pp. 3075-3096, 2023, doi: https://doi.org/10.1049/rpg2.12826.
H. A. Khoshayand, N. Wattanapongsakorn, M. Mahdavian, and E. Ganji, "A new method of decision making in multi-objective optimal placement and sizing of distributed generators in the smart grid," Archives of Electrical Engineering, vol. 72, no. 1, pp. 253 - 271, 2023, doi: https://doi.org/10.24425/aee.2023.143701.
G. N. Lakshmi, A. Jayalaxmi, and V. Veeramsetty, "Optimal placement of distribution generation in radial distribution system using hybrid genetic dragonfly algorithm," Technology and Economics of Smart Grids and Sustainable Energy, vol. 6, no. 1, p. 9, 2021, doi: https://doi.org/10.1007/s40866-021-00107-w.
S. Mirjalili, A. H. Gandomi, S. Z. Mirjalili, S. Saremi, H. Faris, and S. M. Mirjalili, "Salp Swarm Algorithm: A bio-inspired optimizer for engineering design problems," Advances in Engineering Software, vol. 114, pp. 163-191, 2017, doi: https://doi.org/10.1016/j.advengsoft.2017.07.002.
F. Rezaei, H. R. Safavi, M. Abd Elaziz, and S. Mirjalili, "GMO: geometric mean optimizer for solving engineering problems," Soft Computing, vol. 27, no. 15, pp. 10571-10606, 2023, doi: https://doi.org/10.1007/s00500-023-08202-z.
O. Abdellatif, M. Issa, and I. Ziedan, "Optimization of PID Controller Parameter using the Geometric Mean Optimizer," International Journal of Advanced Computer Science and Applications, vol. 15, no. 4, 2024, doi: https://doi.org/10.14569/IJACSA.2024.01504111.
M. Aman, G. Jasmon, A. H. A. Bakar, and H. Mokhlis, "A new approach for optimum simultaneous multi-DG distributed generation Units placement and sizing based on maximization of system loadability using HPSO (hybrid particle swarm optimization) algorithm," Energy, vol. 66, pp. 202-215, 2014, doi: https://doi.org/10.1016/j.energy.2013.12.037.