Optimal power flow incorporating wind uncertainty using bald eagle search and transit search optimization algorithms

Main Article Content

Nour el islem Ferroudj
Mohammed Amroune
Linda Slimani

Abstract

The optimal power flow (OPF) problem is a key issue in determining the most efficient and secure operating point for a power system. This problem has become particularly complex with the high penetration of renewable energy resources, due to the intermittent and stochastic nature of these resources. In this paper, the OPF is solved using the recently developed algorithms called the Bald Eagle Search (BES) and Transit Search Optimizer (TSO), taking into account the uncertainties associated with the power outputs of the wind generation systems. The paper examines several objective functions, such as minimizing thermal and wind generation costs, transmission losses, voltage deviations, and greenhouse gas emissions. Comparative analyses were carried out on standard and modified IEEE 30-bus and 57-bus test systems, in comparison with recent developed optimization algorithms, including the Equilibrium Optimizer (EO), the Marine Predators Algorithm (MPA), the Artificial Ecosystem-based Optimizer (AEO) and the Slime Mould Algorithm (SMA). The obtained results demonstrate the effectiveness and robustness of the BES and TSO algorithms in solving the OPF problem incorporating renewable energies while optimizing overall system performance and minimizing its environmental impact.

Article Details

Section

Articles

How to Cite

[1]
N. el islem Ferroudj, M. Amroune, and L. Slimani, “Optimal power flow incorporating wind uncertainty using bald eagle search and transit search optimization algorithms”, J. Ren. Energies, vol. 29, no. 1, pp. 319 – 336, May 2026, doi: 10.54966/jreen.v29i1.1558.

References

Alsattar, H. A., Zaidan, A. A., & Zaidan, B. B. (2020). Novel meta-heuristic bald eagle search optimisation algorithm. Artificial Intelligence Review, 53(3), 2237–2264. https://doi.org/10.1007/s10462-019-09732-5.

Amroune, M. (2022). Wind integrated optimal power flow considering power losses, voltage deviation, and emission using equilibrium optimization algorithm. Energy, Ecology and Environment, 7(4), 369–392. https://doi.org/10.1007/s40974-022-00249-2.

Biswas, P. P., Suganthan, P. N., & Amaratunga, G. A. J. (2017). Optimal power flow solutions incorporating stochastic wind and solar power. Energy Conversion and Management, 148, 1194–1207. https://doi.org/10.1016/j.enconman.2017.06.071.

Biswas, P. P., Suganthan, P. N., Mallipeddi, R., & Amaratunga, G. A. J. (2018). Optimal power flow solutions using differential evolution algorithm integrated with effective constraint handling techniques. Engineering Applications of Artificial Intelligence, 68, 81–100. https://doi.org/10.1016/j.engappai.2017.10.019.

Bouchekara, H. R. E. H., Chaib, A. E., & Abido, M. A. (2018). Optimal power flow using GA with a new multi-parent crossover considering: Prohibited zones, valve-point effect, multi-fuels and emission. Electrical Engineering, 100(1), 151–165. https://doi.org/10.1007/s00202-016-0488-9.

El Attar, E. E. (2019). Optimal Power Flow of a Power System Incorporating Stochastic Wind Power Based on Modified Moth Swarm Algorithm. IEEE Access, 7, 89581–89593. https://doi.org/10.1109/ACCESS.2019.2927193.

Ida Evangeline, S., & Rathika, P. (2021). Real-time optimal power flow solution for wind farm integrated power system using evolutionary programming algorithm. International Journal of Environmental Science and Technology, 18(7), 1893–1910. https://doi.org/10.1007/s13762-020-02926-3.

Kaymaz, E., Duman, S., & Guvenc, U. (2021). Optimal power flow solution with stochastic wind power using the Lévy coyote optimization algorithm. Neural Computing and Applications, 33(12), 6775–6804. https://doi.org/10.1007/s00521-020-05455-9.

Liang, H., Liu, Y., Shen, Y., Li, F., & Man, Y. (2018). A Hybrid Bat Algorithm for Economic Dispatch With Random Wind Power. IEEE Transactions on Power Systems, 33(5), 5052–5061. https://doi.org/10.1109/TPWRS.2018.2812711.

Mirrashid, M., & Naderpour, H. (2022). Transit search: An optimization algorithm based on exoplanet exploration. Results in Control and Optimization, 7, 100127. https://doi.org/10.1016/j.rico.2022.100127.

Mohamed, A.-A. A., Mohamed, Y. S., El-Gaafary, A. A. M., & Hemeida, A. M. (2017). Optimal power flow using moth swarm algorithm. Electric Power Systems Research, 142, 190–206. https://doi.org/10.1016/j.epsr.2016.09.025.

Panda, A., & Tripathy, M. (2015). Security constrained optimal power flow solution of wind-thermal generation system using modified bacteria foraging algorithm. Energy, 93, 816–827. https://doi.org/10.1016/j.energy.2015.09.083.

Raj, M. D., Muthuselvan, N. B., & Somasundaram, P. (2014). Swarm-Inspired Artificial Bee Colony Algorithm for Solving Optimal Power Flow with Wind Farm. Arabian Journal for Science and Engineering, 39(6), 4775–4787. https://doi.org/10.1007/s13369-014-1084-9.

Yoon, K.-B., Ryu, H. M., Lee, G. H., Gopalan, A. I., Sai-anand, G., & Lee, D.-E. (2021). Enhanced compressive strength of rammed earth walls stabilized with eco-friendly multi-functional polymeric system. Renewable and Sustainable Energy Reviews, 152, 111681. https://doi.org/10.1016/j.rser.2021.111681.

Zimmerman, R. D., Murillo-Sanchez, C. E., & Thomas, R. J. (2011). MATPOWER: Steady-State Operations, Planning, and Analysis Tools for Power Systems Research and Education. IEEE Transactions on Power Systems, 26(1), 12–19. https://doi.org/10.1109/TPWRS.2010.2051168.

Similar Articles

You may also start an advanced similarity search for this article.