International Journal of Allied Research in Engineering and Technology (IJARET)

COMPREHENSIVE EIGENVALUE-BASED ASSESSMENT OF ROTOR ANGLE STABILITY IN NIGERIA’S 330 KV POWER GRID

Authors

  • Jokojeje Rufus Akinnusimi Department of Electrical & Electronics Engineering, Abiola Moshood Polytechnic, Ojere, Abeokuta, Nigeria
  • Adenekan Olujide Adeyinka Department of Electrical & Electronics Engineering, Abiola Moshood Polytechnic, Ojere, Abeokuta, Nigeria
  • Akinleye Temitope Grace Department of Electrical & Electronics Engineering, Abiola Moshood Polytechnic, Ojere, Abeokuta, Nigeria
  • Saheed Ademola Shittu Department of Electrical & Electronics Engineering, Abiola Moshood Polytechnic, Ojere, Abeokuta, Nigeria

Abstract

Rotor angle stability is a crucial aspect of reliable power system operation, especially in developing countries where grids are weakly interconnected and face rapid load fluctuations. This paper presents an in-depth small-signal stability assessment of the Nigerian 330 kV, 36-bus, 13-generator power network via a detailed linearized state-space model based on eigenvalue modal analysis. Three control scenarios; no controller, governor only, and combined governor with power system stabilizer (PSS)—are examined across incremental loads using nonlinear differential-algebraic equations linearized by Taylor series expansion. Governor + PSS control significantly improves damping, stabilizes critical eigenmodes, and ensures satisfactory settling times. This study identifies nodes requiring additional control tuning and offers insights applicable to similar developing grid systems

Author Biographies

Jokojeje Rufus Akinnusimi, Department of Electrical & Electronics Engineering, Abiola Moshood Polytechnic, Ojere, Abeokuta, Nigeria

Dr. Rufus Akinnusimi Jokojeje holds a Ph.D. in Electrical Power   Systems and Machines (2024) from the Federal University of Agriculture, Abeokuta. With over 15 years of academic experience at Moshood Abiola Polytechnic, Abeokuta, he has served as Sub Dean and Acting Head of the Electrical/Electronic Engineering Department. His research focuses on power system stability, compensator applications, and electrical network reliability. He is a registered engineer with COREN and a member of the Nigeria Society of Engineers. Dr. Jokojeje combines academic teaching, research, and professional engineering practice to advance electrical engineering education and power systems in Nigeria.

Adenekan Olujide Adeyinka, Department of Electrical & Electronics Engineering, Abiola Moshood Polytechnic, Ojere, Abeokuta, Nigeria

Dr. Olujide Adeyinka Adenekan is an academic and engineer whose research spans power electronics and machine translation systems. He earned his PhD in Electrical & Electronics Engineering from Swansea University, where he contributed to advancements in low-voltage Power MOSFET modelling.
Before academia, he served at Moshood Abiola Polytechnic, Abeokuta, focusing on analogue/digital circuit design. Dr. Adenekan has co‑authored papers on a rule‑based English-to-Yorùbá translation system and obstacle-avoidance robotics, reflecting his interdisciplinary expertise. His innovative work blends engineering precision with linguistic computing, making him a notable figure in engineering research

Akinleye Temitope Grace, Department of Electrical & Electronics Engineering, Abiola Moshood Polytechnic, Ojere, Abeokuta, Nigeria

Temitope Grace Akinleye is an Electrical and Electronics Engineer whose research focuses on the application of Geographic Information Systems (GIS) in rural electrification and sustainable energy planning. She earned a B.Eng. in Electrical and Electronics Engineering from Ekiti State University and an M.Eng. with distinction from the Federal University of Agriculture, Abeokuta, where her dissertation applied GIS methodologies to improve rural energy access. She lectures at Moshood Abiola Polytechnic, teaching instrumentation, electrical machines, and building design, and serves as Technical Secretary of the NIEEE Abeokuta Chapter. Temitope aspires to pursue a PhD in GIS and renewable energy systems, emphasizing smart grids and sustainability.

Saheed Ademola Shittu , Department of Electrical & Electronics Engineering, Abiola Moshood Polytechnic, Ojere, Abeokuta, Nigeria

Saheed Ademola Shittu is a First-Class graduate of Electrical and Electronics Engineering from the University of Ilorin, with research and project experience in power systems, renewable energy, and inverter design. He has contributed to teaching and applied research in power engineering while also building scalable software solutions for government and healthcare platforms. His expertise spans circuit analysis, PV system sizing, and control algorithms, complemented by backend engineering skills in microservices, cloud infrastructure, and database optimization.

Keywords:

Rotor angle stability, eigenvalue analysis, power system stabilizer, Nigerian power grid, small signal stability

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Published

2025-09-30

DOI:

https://doi.org/10.5281/zenodo.17232491

Issue

Vol. 16 No. 9 (2025): September

Section

Articles

How to Cite

Akinnusimi, J. R., Adenekan , O. A., Akinleye , T. G., & Saheed , A. S. (2025). COMPREHENSIVE EIGENVALUE-BASED ASSESSMENT OF ROTOR ANGLE STABILITY IN NIGERIA’S 330 KV POWER GRID. International Journal of Allied Research in Engineering and Technology (IJARET), 16(9), 1–11. https://doi.org/10.5281/zenodo.17232491

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Copyright (c) 2025 Jokojeje Rufus Akinnusimi, Adenekan Olujide Adeyinka, Akinleye Temitope Grace, Saheed Ademola Shittu

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

References

Bhukya, J., et al., 2019. Mathematical modeling and stability analysis of the PSS for the DFIG IET Renewable Power Generation, 13(5), 847-857. DOI: 10.1049/iet-rpg.2018.5555

Falguni, P. and Vijay, T. (2018). Power system stabilizers and their applications International Journal of Electrical Power, Vol. 12, No. 4, 245-255.

Ghandhari, M. (2019). Stability of the power systems. Royal Institute of Technology, KTH. https://www.kth.se/polopoly_fs/1.1283027.1696246838!/Power System Stability - Compendium.pdf

IEEE Power Engineering Society. (2016). IEEE Std 421.5-2016: Recommended practice for excitation system models for power system stability studies. IEEE Power Engineering Society.

Jokojeje, R. A. (2024). Assessment of small signal stability on power system using eigenvalues approach (PhD thesis). Federal University of Agriculture, Abeokuta.

Kundur, P. (1994). Power system stability and control. McGraw-Hill, New York.

Ma, X., et al. (2020). Review of the power system stabilizer design Energy Reports, 6, 1242-1257.

Onitsha, G. N., et al. (2023). Enhancement of power system stability in Nigerian grids using advanced stabilizers Journal of Power and Energy Engineering, Vol. 11, No. 2, pp. 57-73.

Sauer, P. W. and Pai, M. A. (1997). Dynamic and stable power system Prentice Hall.

S. Gomes, C.H.C. Guimaraes, N. Martins, G.N. Taranto Damped Nyquist Plot for a Pole Placement Design of Power System Stabilizers. Power Systems Research, 2018, 158, 158–169.

Kundur P., Rogers G. J., Wong D. Y., L. Wang, M. G. Lauby, "A Comprehensive Computer Program for Small Signal Stability Analysis of Power Systems," Paper #90WM 007- 5, Presented at the IEEE PES Winter Power Meeting, Atlanta, 1990.

Kundur, P., Paserba, J., Ajjarapu, V., Andersson, G., Bose, A., Cañizares, C. A., Hatziargyriou, N. D., Hill, D.J., Stanković, A.M., Taylor, C. W., Cutsem, T. V., & Vittal, V. (2004). Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions. IEEE Trans. Power Syst. 19, 1387-1401.

Subotić I., Groß, D., Colombino, M., & Dörfler, F. (2021). A Lyapunov Framework for Nested Dynamical Systems on Multiple Time Scales with Application to Converter-Based Power Systems, IEEE Trans. Autom. Control 66(12): 5909-5924.

Kumar S, Dash P. 2016. Analysis of Power Stability and Oscillation Damping in a Three-Machine Nine-Bus System International Journal of Innovative Research in Science, Engineering, and Technology 5(7): 12986–12996.

Venkat Krishnan and James D. McCalley Submitted. 2012. Role of Induction Motors in Voltage Instability and Coordinated Reactive Power Planning. InTech 557.

Venkata, S. S., Eremia, Mircea, and Toma, Lucian. 2013. Background of the power system stability In book: Handbook of Electrical Power System Dynamics. 503–530

Evans R. D. and Bergvall R. C., "Experimental analysis of stability and power limitations," in Journal of the A.I.E.E., vol. 43, no. 4, pp. 329-340, April 1924,

Wang, J., Liang, Z., Li, Z., Li, Y., Chuang, F., Huang, L., 2017. Reactive power control strategy for the low-power operation of the HVDC transmission system Dianli Xitong Zidonghua/Automation of Electric Power Systems 41(6): 154-158.