Abstract
The integration of solar photovoltaic power plants (SPVPPs) into power systems reduces grid inertia, challenging frequency stability during contingencies. This paper evaluates a deloaded SPVPP with fast frequency response (FFR) capability at 34% PV penetration in a modified IEEE 9-bus system. Dynamic simulations demonstrate that while a substantial 21.40% deloading level improves frequency response, the enhancements are modest - yielding just 0.42% better RoCoF (0.7824 Hz/s vs 0.7857 Hz/s) and 0.17% higher nadir (57.13 Hz vs 57.03 Hz) compared to 0% PV penetration. The optimization process achieved only a 2.18% reduction in required deloading, highlighting limited gains from reserve tuning. Economic analysis reveals a 4.85% up-regulation cost relative to generation revenue. While the proposed strategy maintains frequency within limits despite 24% inertia reduction, its marginal gains in this small test system suggest potentially greater effectiveness in larger systems where sufficient baseline inertia exists to complement the SPVPP's regulation capabilities. The study provides critical insights into the system-scale considerations for implementing SPVPP-based frequency regulation.
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- [1] Karimi et al., “Inertia Response Improvement in AC Microgrids: A Fuzzy-Based Virtual Synchronous Generator Control,” IEEE Trans Power Electron, vol. 35, no. 4, pp. 4321–4331, Apr. 2020, doi: 10.1109/TPEL.2019.2937397.
- [2] A. Bonfiglio, M. Invernizzi, A. Labella, and R. Procopio, “Design and Implementation of a Variable Synthetic Inertia Controller for Wind Turbine Generators,” IEEE Transactions on Power Systems, vol. 34, no. 1, pp. 754–764, Jan. 2019, doi: 10.1109/TPWRS.2018.2865958.
- [3] P. Vorobev, D. M. Greenwood, J. H. Bell, J. W. Bialek, P. C. Taylor, and K. Turitsyn, “Deadbands, Droop, and Inertia Impact on Power System Frequency Distribution,” IEEE Transactions on Power Systems, vol. 34, no. 4, pp. 3098–3108, Jul. 2019, doi: 10.1109/TPWRS.2019.2895547.
- [4] P. Denholm, T. Mai, R. W. Kenyon, B. Kroposki, and M. O. Malley, “Inertia and the Power Grid : A Guide Without the Spin,” no. May, 2020, [Online]. Available: https://www.nrel.gov/docs/fy20osti/73856.pdf
- [5] N. Nguyen, D. Pandit, R. Quigley, and J. Mitra, “Frequency Response in the Presence of Renewable Generation: Challenges and Opportunities,” IEEE Open Access Journal of Power and Energy, vol. 8, pp. 543–556, 2021, doi: 10.1109/OAJPE.2021.3118393.
- [6] D.; Pombo, D. A.; Sørensen, and J. Martinez-Rico, “Is Real Inertia Always Better? Synchronous Condensers, Fast Frequency Response, and Virtual Inertia in Isolated Hybrid Power Systems,” Madeira: Proceedings of 6th Hybrid Power Systems Workshop, Apr. 2022. Accessed: Jun. 05, 2024. [Online]. Available: https://backend.orbit.dtu.dk/ws/portalfiles/portal/275009622/3A_2_HYB22_018_paper_Pombo_Daniel.pdf
- [7] B. K. Wamukoya, K. K. Kaberere, C. M. Muriithi, and K. Murang’a, “Optimal deployment of solar PV power plants as fast frequency response source for a frequency secure low inertia power grid,” Bulletin of Electrical Engineering and Informatics, vol. 14, no. 1, pp. 83–95, 2025, doi: 10.11591/eei.v14i1.8548.
- [8] L. Meng et al., “Fast Frequency Response from Energy Storage Systems - A Review of Grid Standards, Projects and Technical Issues,” IEEE Trans Smart Grid, vol. 11, no. 2, pp. 1566–1581, Mar. 2020, doi: 10.1109/TSG.2019.2940173.
- [9] B. K. Wamukoya, C. M. Muriithi, and K. K. Kaberere, “Improving frequency regulation for future low inertia power grids: a review,” Bulletin of Electrical Engineering and Informatics, vol. 13, no. 1, pp. 76–87, Feb. 2024, doi: 10.11591/eei.v13i1.5873.
- [10] S. Lining, Q. Xiaohui, Z. Shang, Z. Yantao, J. Yilang, and H. Yi, “Fast frequency response of inverter-based resources and its impact on system frequency characteristics,” Global Energy Interconnection, pp. 475–485, 2020, doi: 10.1016/j.gloei.2020.11.007.
- [11] I. Mahmud, N. Al Masood, and A. Jawad, “Optimal deloading of PV power plants for frequency control: A techno-economic assessment,” Electric Power Systems Research, vol. 221, no. January, p. 109457, 2023, doi: 10.1016/j.epsr.2023.109457.
- [12] A. Jawad and N. Al Masood, “A systematic approach to estimate the frequency support from large-scale PV plants in a renewable integrated grid,” Energy Reports, vol. 8, pp. 940–954, 2022, doi: 10.1016/j.egyr.2021.12.017.
- [13] A. Fernández-Guillamón, E. Gómez-Lázaro, E. Muljadi, and Á. Molina-García, “Power systems with high renewable energy sources: A review of inertia and frequency control strategies over time,” Renewable and Sustainable Energy Reviews, vol. 115, p. 109369, Nov. 2019, doi: 10.1016/j.rser.2019.109369.
- [14] R. Rajan, F. M. Fernandez, and Y. Yang, “Primary frequency control techniques for large-scale PV-integrated power systems: A review,” Jul. 01, 2021, Elsevier Ltd. doi: 10.1016/j.rser.2021.110998.
- [15] C. Rahmann and A. Castillo, “Fast frequency response capability of photovoltaic power plants: The necessity of new grid requirements and definitions,” Energies (Basel), vol. 7, no. 10, pp. 6306–6322, 2014, doi: 10.3390/en7106306.
- [16] P. Pachanapan, “Dynamic Modelling and Simulation of Power Electronic Converter in DIgSILENT Simulation Language (DSL): Islanding Operation of Microgrid System with Multi-energy Sources,” 2021, pp. 67–93. doi: 10.1007/978-3-030-54124-8_3.
- [17] P. P. Zarina, S. Mishra, and P. C. Sekhar, “Exploring frequency control capability of a PV system in a hybrid PV-rotating machine-without storage system,” International Journal of Electrical Power and Energy Systems, vol. 60, pp. 258–267, 2014, doi: 10.1016/j.ijepes.2014.02.033.
- [18] S. Albatran, S. Harasis, M. Ialomoush, Y. Alsmadi, and M. Awawdeh, “Realistic Optimal Power Flow of a Wind-Connected Power System With Enhanced Wind Speed Model,” IEEE Access, vol. 8, pp. 176973–176985, 2020, doi: 10.1109/ACCESS.2020.3027065.
- [19] Y. Cui, Z. Geng, Q. Zhu, and Y. Han, “Review: Multi-objective optimization methods and application in energy saving,” Energy, vol. 125, pp. 681–704, Apr. 2017, doi: 10.1016/J.ENERGY.2017.02.174.
- [20] A. G. Gad, “Particle Swarm Optimization Algorithm and Its Applications: A Systematic Review,” Archives of Computational Methods in Engineering, vol. 29, no. 5, pp. 2531–2561, Aug. 2022, doi: 10.1007/s11831-021-09694-4.
- [21] A. P. Piotrowski, J. J. Napiorkowski, and A. E. Piotrowska, “Population size in Particle Swarm Optimization,” Swarm Evol Comput, vol. 58, Nov. 2020, doi: 10.1016/j.swevo.2020.100718.
- [22] S. Peyghami, P. Davari, M. Fotuhi-Firuzabad, and F. Blaabjerg, “Standard Test Systems for Modern Power System Analysis: An Overview,” IEEE Industrial Electronics Magazine, vol. 13, no. 4, pp. 86–105, Dec. 2019, doi: 10.1109/MIE.2019.2942376.
- [23] N. U. Putri, F. Rossi, A. Jayadi, J. P. Sembiring, and H. Maulana, “Analysis of Frequency Stability with SCES’s type of Virtual Inertia Control for The IEEE 9 Bus System,” in 2021 International Conference on Computer Science, Information Technology, and Electrical Engineering (ICOMITEE), Banyuwangi, Indonesia: IEEE, Oct. 2021, pp. 191–196. doi: 10.1109/ICOMITEE53461.2021.9650178.
- [24] K. Loji, N. Loji, and M. Kabeya, “Flexibility Assessment of a Solar PV Penetrated IEEE 9-Bus System Using Dynamic Transient Stability Evaluation,” in 2022 IEEE PES/IAS PowerAfrica, Kigali, Rwanda: IEEE, Aug. 2022, pp. 1–5. doi: 10.1109/PowerAfrica53997.2022.9905395.
- [25] K. Abaci and V. Yamacli, “Differential search algorithm for solving multi-objective optimal power flow problem,” International Journal of Electrical Power and Energy Systems, vol. 79, pp. 1–10, Jul. 2016, doi: 10.1016/j.ijepes.2015.12.021.
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