Voltage Stability Assessment of a Grid-Connected Photovoltaic System Using a Combined Stability Index

International Journal of Electrical and Electronics Engineering

© 2025 by SSRG - IJEEE Journal

Volume 12 Issue 6

Year of Publication : 2025

Authors : Mahamat Defallah Djamaladine, Amir Moungache, Agbassou Guenoukpati, Adekunlé Akim Salami

10.14445/23488379/IJEEE-V12I6P117

How to Cite?

Mahamat Defallah Djamaladine, Amir Moungache, Agbassou Guenoukpati, Adekunlé Akim Salami, "Voltage Stability Assessment of a Grid-Connected Photovoltaic System Using a Combined Stability Index," SSRG International Journal of Electrical and Electronics Engineering, vol. 12,  no. 6, pp. 195-205, 2025. Crossref, https://doi.org/10.14445/23488379/IJEEE-V12I6P117

Abstract:

Grid-connected photovoltaic systems are subject to disturbances related to voltage changes at loads when their location is poorly chosen. Determining the injection location and evaluating the voltage stability of these networks are very important. In this work, a new method, simultaneously based on P-V and Q-V curves, called the Combined Stability Index (CSI), is proposed to evaluate the voltage stability of grid-connected photovoltaic systems. The results obtained from the CSI on the IEEE 14-bus network, with and without photovoltaic sources, confirm those of previous works. According to the different scenarios described in the article, the best location for the photovoltaic source to achieve the best voltage levels in the network is on the strongest bus. The CSI is a performance indicator that allows for the precise identification of the strengths and weaknesses of network buses better than the method based on the P-V and Q-V curves.

Keywords:

Combined stability index, Grid-connected photovoltaic system, P-V curve, Q-V curve, Voltage stability.

References:

[1] Tong Zhu et al., “Analysis and Suppression of Harmonic Resonance in Photovoltaic Grid-Connected Systems,” Energies, vol. 17, no. 5, pp. 1-22, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[2] Sandra Bouneau et al., “Simplified Construction of an Energy World in 2050,” Physical Reflections, no. 1, pp. 30-35, 2013.
[CrossRef] [Google Scholar] [Publisher Link]
[3] Xinyu Liang, Hua Chai, and Jayashri Ravishankar, “Analytical Methods of Voltage Stability in Renewable Dominated Power Systems: A Review,” Electricity, vol. 3, no. 1, pp. 75-107, 2022.
[CrossRef] [Google Scholar] [Publisher Link]
[4] Ahmad Fateh Mohamad Nor, and Marizan Sulaiman, “Voltage Stability Assessment of Power System Network using QV and PV Modal Analysis,” Journal of Telecommunication, Electronic and Computer Engineering (JTEC), vol. 8, no. 7, pp. 7-11, 2016.
[Google Scholar] [Publisher Link]
[5] G. Maliki et al., “Analysis of the Impacts of Increased Penetration of Electricity Networks by Photovoltaic Generators,” Maghrebian Journal of Pure and Applied Science, vol. 8, no. 2, pp. 111-121, 2022.
[CrossRef] [Google Scholar] [Publisher Link]
[6] Abdullahi Oboh Muhammed, and Muhyaddin Rawa, “A Systematic PVQV-Curves Approach for Investigating the Impact of Solar Photovoltaic-Generator in Power System Using PowerWorld Simulator,” Energies, vol. 13, no. 10, pp. 1-21, 2020.
[CrossRef] [Google Scholar] [Publisher Link]
[7] Rahul Kumar et al., “PV and QV Curve Analysis Using Series and Shunt Compensation,” 2020 IEEE 9th Power India International Conference (PIICON), Sonepat, India, pp. 1-6, 2020.
[CrossRef] [Google Scholar] [Publisher Link]
[8] Tenarasi Subramaniam et al., “An Investigation on the Power System Stability of Photovoltaic Grid Integrated System,” 2017 7th IEEE International Conference on Control System, Computing and Engineering (ICCSCE), Penang, Malaysia, pp. 356-359, 2017.
[CrossRef] [Google Scholar] [Publisher Link]
[9] V.N. Sewdien et al., “Evaluation of PV and QV Based Voltage Stability Analyses in Converter Dominated Power Systems,” 2018 IEEE PES Asia-Pacific Power and Energy Engineering Conference (APPEEC), Kota Kinabalu, Malaysia, pp. 161-165, 2018.
[CrossRef] [Google Scholar] [Publisher Link]
[10] M.H. Ibrahim et al., “Voltage Stability Assessment for Solar Photovoltaic Penetration Using Reactive Power-Voltage and Active Power-Voltage Modal Analysis,” Energy Reports, vol. 9, pp. 486-493, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[11] Bukola Babatunde Adetokun, Joseph Olorunfemi Ojo, and Christopher Maina Muriithi, “Reactive Power-Voltage-Based Voltage Instability Sensitivity Indices for Power Grid with Increasing Renewable Energy Penetration,” IEEE Access, vol. 8, pp. 85401-85410, 2020.
[CrossRef] [Google Scholar] [Publisher Link]
[12] S. Rahman et al., “Analysis of Power Grid Voltage Stability with High Penetration of Solar PV Systems,” IEEE Transactions on Industry Applications, vol. 57, no. 3, pp. 2245-2257, 2021.
[CrossRef] [Google Scholar] [Publisher Link]
[13] Ombuki Mogaka, Roy Orenge, and Julius Ndirangu, “Static Voltage Stability Assessment of the Kenyan Power Network,” Journal of Electrical and Computer Engineering, vol. 2021, pp. 1-16, 2021.
[CrossRef] [Google Scholar] [Publisher Link]
[14] Ahmad Fateh Mohamad Nor et al., “Determining Voltage Stability Margin Values by Measuring the Hypotenuse Under PV and QV Curves,” International Journal of Electrical Engineering and Applied Sciences (IJEEAS), vol. 1, no. 1, pp. 25-30, 2018.
[Google Scholar] [Publisher Link]
[15] E. Munkhchuluun, L. Meegahapola, and A. Vahidnia, “Long-Term Voltage Stability with Large-Scale Solar-Photovoltaic (PV) Generation,” International Journal of Electrical Power & Energy Systems, vol. 117, 2020.
[CrossRef] [Google Scholar] [Publisher Link]
[16] Xuan Li et al., “Study on the Corresponding Relationship between Critical Points of P-V Curve and V-Q Curve of Simple Thevenin Equivalent System,” 2020 IEEE 1st China International Youth Conference on Electrical Engineering (CIYCEE), Wuhan, China, pp. 1-7, 2020.
[CrossRef] [Google Scholar] [Publisher Link]
[17] Xuan Zhang et al., “Steady-State Voltage Stability Assessment of New Energy Power Systems with Multi-Quadrant Power Modes,” Energy Reports, vol. 9, pp. 3851-3860, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[18] E.N. Ezeruigbo, A.O. Ekwue, and L.U. Anih, “Voltage Stability Analysis of Nigerian 330kV Power Grid using Static P-V Plots,” Nigerian Journal of Technology, vol. 40, no. 1, pp. 70-80, 2021.
[CrossRef] [Google Scholar] [Publisher Link]
[19] Ahmed Nasser B. Alsammak, and Maan Hussein A. Safar, “Voltage Stability Margin Improving by Controlling Power Transmission Paths,” International Journal of Engineering and Innovative Technology (IJEIT), vol. 7, no. 1, pp. 26-32, 2017. [Google Scholar] [Publisher Link]
[20] Viktor Rrotani, Rajmonda Bualoti, and Marialis Çelo, “Static Voltage Stability Analysis with the Integration of Distributed Generation: An Albanian Case Study,” WSEAS Transactions on Power Systems, vol. 19, pp. 427-437, 2024.
[CrossRef] [Google Scholar] [Publisher Link]
[21] Sheng Li, Yuan Gao, and Chengcheng Jiang, “A Static Voltage Stability Index Based on P-V Curve for the Medium-Voltage Distribution Network with Distributed PV,” Journal of Physics: Conference Series, The 6th International Conference on Mechanical, Electric, and Industrial Engineering (MEIE 2023), Sanya, China, vol. 2591, no. 1, pp. 1-7, 2023.
[CrossRef] [Google Scholar] [Publisher Link]
[22] Zhihua Zhang et al., “EM Algorithms for Gaussian Mixtures with Split-and-Merge Operation,” Pattern Recognition, vol. 36, no. 9, pp. 1973-1983, 2003.
[CrossRef] [Google Scholar] [Publisher Link]