Optimal Placement and Sizing of PV Systems and D-STATCOMs in Medium-Voltage Distribution Networks Using the Atan-Sinc Optimization Algorithm
Keywords:
Atan-Sinc Optimization Algorithm, Photovoltaic plants, Distribution Static Compensators, Master-Slave Optimization
Abstract
The integration of photovoltaic (PV) systems and D-STATCOMs in medium-voltage distribution networks offers significant potential for enhancing voltage profiles, minimizing power losses, and improving overall system efficiency. This paper introduces the \textit{Atan-Sinc Optimization Algorithm} (ASOA), a novel metaheuristic technique specifically designed for addressing the optimal placement and sizing of PV systems and D-STATCOMs. The ASOA, proposed for the first time in this study, leverages the unique mathematical properties of the $\atan\left(x\right)$ and $\sinc\left(x\right)$ functions to explore and exploit the solution space efficiently. To validate the effectiveness of the ASOA, a comprehensive comparative analysis was conducted against two state-of-the-art methods: the vortex search algorithm (VSA) and the sine cosine algorithm (SCA). Results demonstrate that the ASOA outperforms these benchmark methods in terms of solution quality, convergence rate, and robustness. An economic metric confirms the superior capability of the ASOA in solving this complex optimization problem (reductions of about $35.5429\%$ and $35.6707\%$ for the 33- and 69-bus grids, respectively). This research highlights the ASOA as a promising tool for enhancing the planning and operation of distribution networks, setting a strong foundation for future applications in power system optimization.References
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Sampling Theory and Applications (SampTA), pages 21–24. IEEE, May 2015.
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Luis Fernando Grisales-Nore˜na. Effective power coordination of besus in distribution grids via the sine-cosine algorithm. In 2024
IEEE Green Technologies Conference (GreenTech). IEEE, April 2024.
Incremental Particle Swarm Optimization–Based OPF. Energies, 16(4):1706, February 2023.
2. Fahad Bin Abdullah, Muhammad Arsalan Aqeeq, Rizwan Iqbal, Maria Abdullah, and Falak Shad Memon. Enhancing electricity
distribution efficiency in Pakistan: A framework for progress and action. Utilities Policy, 88:101746, June 2024.
3. Xiangming Wu, Chenguang Yang, Guang Han, Zisong Ye, and Yinlong Hu. Energy Loss Reduction for Distribution Networks with
Energy Storage Systems via Loss Sensitive Factor Method. Energies, 15(15):5453, July 2022.
4. Mustarum Musaruddin, Tambi Tambi,Waode Zulkaidah, Gamal Abdel Nasser Masikki, Agustinus Lolok, Abdul Djohar, and Marwan
Marwan. Optimizing network reconfiguration to reduce power loss and improve the voltage profile in the distribution system: A
practical case study. e-Prime - Advances in Electrical Engineering, Electronics and Energy, 8:100599, June 2024.
5. Oscar Danilo Montoya, Carlos Alberto Ram´ırez-Vanegas, and Jos´e Rodrigo Gonz´alez-Granada. Dynamic active and reactive power
compensation in distribution networks using pv-statcoms: A tutorial using the julia software. Results in Engineering, 21:101876,
March 2024.
6. Khaled Obaideen, Maryam Nooman AlMallahi, Abdul Hai Alami, Mohamad Ramadan, Mohammad Ali Abdelkareem, Nabila
Shehata, and A.G. Olabi. On the contribution of solar energy to sustainable developments goals: Case study on mohammed bin
rashid al maktoum solar park. International Journal of Thermofluids, 12:100123, November 2021.
7. Boutaina Talbi, Mounir Derri, Touria Haidi, and Abderrahmane Janyenne. Review of the Integration of Photovoltaic and Electric
Vehicles on Distribution Network: Impacts and Enhancement Approaches. Procedia Computer Science, 236:93–100, 2024.
8. Sevda Jalali Milani and Gholamreza Nabi Bidhendi. Biogas and photovoltaic solar energy as renewable energy in wastewater
treatment plants: A focus on energy recovery and greenhouse gas emission mitigation. Water Science and Engineering, 17(3):283–
291, September 2024.
9. Nayeema Rashid and Md Humayun Kabir. Greenhouse Gas Emission Reduction through Electricity Generation from Solar
Photovoltaic Systems: A Study in Dhaka. The Dhaka University Journal of Earth and Environmental Sciences, 12(1):1–8, January
2024.
10. Adriana Rinc´on-Miranda, Giselle Viviana Gantiva-Mora, and Oscar Danilo Montoya. Simultaneous integration of d-statcoms and pv
sources in distribution networks to reduce annual investment and operating costs. Computation, 11(7):145, July 2023.
11. Oscar Danilo Montoya,Walter Gil-Gonz´alez, and Luis Fernando Grisales-Nore˜na. Optimal planning of photovoltaic and distribution
static compensators in medium-voltage networks via the gndo approach. Results in Engineering, 23:102764, September 2024.
12. Alejandro Garc´es-Ruiz. Power flow in unbalanced three-phase power distribution networks using matlab: Theory, analysis, and
quasi-dynamic simulation. Ingenier´ıa, 27(3):e19252, August 2022.
13. Saeed Rezaeian-Marjani, Sadjad Galvani, Vahid Talavat, and Mohammad Farhadi-Kangarlu. Optimal allocation of D-STATCOM in
distribution networks including correlated renewable energy sources. International Journal of Electrical Power & Energy Systems,
122:106178, November 2020.
14. Abdullah M. Shaheen, Abdullah Alassaf, Ibrahim Alsaleh, and A.M. Elsayed. Enhanced kepler optimization for efficient penetration
of pv sources integrated with statcom devices in power distribution systems. Expert Systems with Applications, 253:124333,
November 2024.
15. Zedequias Machado Alves, Renata Mota Martins, Gustavo Marchesan, and Ghendy Cardoso Junior. Metaheuristic for the allocation
and sizing of pv-statcoms for ancillary service provision. Energies, 16(1):424, December 2022.
16. Oscar Danilo Montoya, Carlos Alberto Ram´ırez-Vanegas, and Luis Fernando Grisales-Nore˜na. A Sine-Cosine Algorithm Approach
for Optimal PV and D-STATCOM Integration in Distribution Systems. Statistics, Optimization & Information Computing, Nov.
2024.
17. Farzin Fardinfar and Mostafa Jafari Kermani Pour. Optimal placement of d-statcom and pv solar in distribution system using
probabilistic load models. In 2023 10th Iranian Conference on Renewable Energy &; Distributed Generation (ICREDG). IEEE,
March 2023.
18. Mezigebu Getinet Yenealem. Optimum Allocation of Microgrid and D-STATCOM in Radial Distribution System for Voltage Profile
Enhancement Using Particle Swarm Optimization. International Journal of Photoenergy, 2024(1), January 2024.
19. Rajiv K. Varma and Ehsan M. Siavashi. Pv-statcom: A new smart inverter for voltage control in distribution systems. IEEE
Transactions on Sustainable Energy, 9(4):1681–1691, October 2018.
20. Youssef Ait El Kadi, Fatima Zahra Baghli, and Yassine Lakhal. Pv-statcom in photovoltaic systems under variable solar radiation and
variable unbalanced nonlinear loads. International Journal of Electrical and Electronic Engineering &; Telecommunications, pages
36–48, 2021.
21. Luis Fernando Grisales-Nore˜na, Daniel Sanin-Villa, and Oscar Danilo Montoya. Optimal integration of pv generators and d-statcoms
into the electrical distribution system to reduce the annual investment and operational cost: A multiverse optimization algorithm and
matrix power flow approach. e-Prime - Advances in Electrical Engineering, Electronics and Energy, 9:100747, September 2024.
22. L.F. Grisales-Nore˜na, J.C. Morales-Duran, S. Velez-Garcia, Oscar Danilo Montoya, and Walter Gil-Gonz´alez. Power flow methods
used in AC distribution networks: An analysis of convergence and processing times in radial and meshed grid configurations. Results
in Engineering, 17:100915, March 2023.
23. Abhisek Ukil, Vishal H Shah, and Bernhard Deck. Fast computation of arctangent functions for embedded applications: A
comparative analysis. In 2011 IEEE International Symposium on Industrial Electronics, pages 1206–1211. IEEE, June 2011.
24. B. A. Bailey and W. R. Madych. Cardinal sine series: Oversampling and non-existence. In 2015 International Conference on
Sampling Theory and Applications (SampTA), pages 21–24. IEEE, May 2015.
25. Oscar Danilo Montoya, Walter Gil-Gonz´alez, Rub´en Iv´an Bola˜nos, Diego Fernando Mu˜noz-Torres, Jes´us C. Hern´andez, and
Luis Fernando Grisales-Nore˜na. Effective power coordination of besus in distribution grids via the sine-cosine algorithm. In 2024
IEEE Green Technologies Conference (GreenTech). IEEE, April 2024.
Published
2025-07-28
How to Cite
Montoya Giraldo, O. D., Grisales Noreña, L. F., & Bolaños, R. I. (2025). Optimal Placement and Sizing of PV Systems and D-STATCOMs in Medium-Voltage Distribution Networks Using the Atan-Sinc Optimization Algorithm. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2348
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Research Articles
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