A Hybrid JAYA and Teaching-Learning Based Optimization Algorithm for Single- and Multi-Objective Optimal Power Flow

Oguz Tasdemir, Salih Ermis

Abstract


This study presents a novel multi-objective optimization framework for the Optimal Power Flow (OPF) problem in an IEEE 30-bus system, aiming to simultaneously minimize generation costs, active power losses, and voltage deviations. Given the highly nonlinear and heavily constrained nature of OPF, conventional optimization techniques often fall short. To overcome these computational challenges, we propose a parameter-less hybrid metaheuristic approach that integrates Teaching-Learning-Based Optimization (TLBO) with the JAYA algorithm. This hybridization strategically synergizes TLBO’s global exploration capabilities with JAYA’s rapid, convergence-driven exploitation. By employing Pareto optimization and rigorously evaluating the outcomes using quantitative performance indicators (Spacing, Maximum Spread, and Hypervolume), a well-balanced and statistically robust set of optimal solutions is derived. Furthermore, the practical robustness of the framework is explicitly validated under a severe smart-grid stress scenario featuring high Electric Vehicle (EV) charging penetration. The comparative results reveal that the proposed hybrid TLBO-JAYA algorithm significantly enhances solution quality, convergence reliability, and overall system robustness compared to Particle Swarm Optimization (PSO) and standalone baselines. While the hybrid approach incurs a computational-time penalty due to its sequential phases, this research ultimately establishes the method as a highly effective tool for complex, multi-objective power system operational problems.


Keywords


Multi-objective optimization, Optimal Power Flow problem, Teaching-Learning-Based Optimization (TLBO) algorithm, JAYA algorithm, Pareto optimal technique.

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References


J. K. Skolfield and A. R. Escobedo, "Operations research in optimal power flow: A guide to recent and emerging methodologies and applications," European Journal of Operational Research, vol. 300, no. 2, pp. 387-404, 2022.

E. Naderi, M. Pourakbari-Kasmaei, and H. Abdi, "An efficient particle swarm optimization algorithm to solve optimal power flow problem integrated with FACTS devices," Applied Soft Computing, vol. 80, pp. 243-262, 2019.

T. Niknam, M. Narimani, J. Aghaei, and R. Azizipanah-Abarghooee, "Improved particle swarm optimisation for multi-objective optimal power flow considering the cost, loss, emission and voltage stability index," IET generation, transmission & distribution, vol. 6, no. 6, pp. 515-527, 2012.

G. Chen, J. Qian, Z. Zhang, and S. Li, "Application of modified pigeon-inspired optimization algorithm and constraint-objective sorting rule on multi-objective optimal power flow problem," Applied Soft Computing, vol. 92, p. 106321, 2020.

B. Zhao, C. Guo, and Y. Cao, "Improved particle swam optimization algorithm for OPF problems," in IEEE PES Power Systems Conference and Exposition, 2004., 2004: IEEE, pp. 233-238.

H. Gao, J. Liu, L. Wang, and Y. Liu, "Cutting planes based relaxed optimal power flow in active distribution systems," Electric Power Systems Research, vol. 143, pp. 272-280, 2017.

J. A. Momoh, S. Guo, E. Ogbuobiri, and R. Adapa, "The quadratic interior point method solving power system optimization problems," IEEE Transactions on Power Systems, vol. 9, no. 3, pp. 1327-1336, 1994.

T. Niknam, M. rasoul Narimani, M. Jabbari, and A. R. Malekpour, "A modified shuffle frog leaping algorithm for multi-objective optimal power flow," Energy, vol. 36, no. 11, pp. 6420-6432, 2011.

E. Naderi, M. Pourakbari-Kasmaei, F. V. Cerna, and M. Lehtonen, "A novel hybrid self-adaptive heuristic algorithm to handle single-and multi-objective optimal power flow problems," International Journal of Electrical Power & Energy Systems, vol. 125, p. 106492, 2021.

S. Ermi?, "Multi-objective optimal power flow using a modified weighted teaching-learning based optimization algorithm," Electric Power Components and Systems, vol. 51, no. 20, pp. 2536-2556, 2023.

A. M. Shaheen, R. A. El-Sehiemy, M. M. Alharthi, S. S. Ghoneim, and A. R. Ginidi, "Multi-objective jellyfish search optimizer for efficient power system operation based on multi-dimensional OPF framework," Energy, vol. 237, p. 121478, 2021.

M. Kaur and N. Narang, "Optimal power flow solution using space transformational invasive weed optimization algorithm," Iranian journal of science and Technology, transactions of electrical engineering, vol. 47, no. 3, pp. 939-965, 2023.

V. Bathina, R. Devarapalli, and F. P. García Márquez, "Hybrid approach with combining cuckoo-search and grey-wolf optimizer for solving optimal power flow problems," Journal of Electrical Engineering & Technology, vol. 18, no. 3, pp. 1637-1653, 2023.

V. Yamaçli, H. I?iker, Z. Yetgin, and K. Abaci, "Solving optimal power flow control problem using honey formation optimization algorithm," IEEE Access, 2024.

S. Gupta et al., "Optimal power flow solution using novel optimization technique: A case study," Expert Systems with Applications, p. 128163, 2025.

A. M. Shaheen, R. A. El-Sehiemy, H. M. Hasanien, and A. Ginidi, "An enhanced optimizer of social network search for multi-dimension optimal power flow in electrical power grids," International Journal of Electrical Power & Energy Systems, vol. 155, p. 109572, 2024.

J. Zhu, X. Yu, F. Wang, and Y. Mao, "Multi-objective optimal power flow problem using constrained dynamic multitasking multi-objective optimization algorithm," Swarm and Evolutionary Computation, vol. 93, p. 101850, 2025.

B. K. Dora, S. Bhat, S. Halder, and I. Srivastava, "Multi-objective optimal power flow problem using Nelder–Mead based Prairie Dog optimization algorithm," Soft Computing, vol. 28, no. 21, pp. 12835-12868, 2024.

R. V. Rao, V. J. Savsani, and D. P. Vakharia, "Teaching–learning-based optimization: a novel method for constrained mechanical design optimization problems," Computer-aided design, vol. 43, no. 3, pp. 303-315, 2011.

R. V. Rao and A. Saroj, "A self-adaptive multi-population based Jaya algorithm for engineering optimization," Swarm and Evolutionary computation, vol. 37, pp. 1-26, 2017.

M. Basu, "Multi-objective optimal power flow with FACTS devices," Energy Conversion and Management, vol. 52, no. 2, pp. 903-910, 2011.

T. H. B. Huy, D. Kim, and D. N. Vo, "Multiobjective optimal power flow using multiobjective search group algorithm," IEEE Access, vol. 10, pp. 77837-77856, 2022.

M. Al-Kaabi, V. Dumbrava, and M. Eremia, "Single and multi-objective optimal power flow based on hunger games search with pareto concept optimization," Energies, vol. 15, no. 22, p. 8328, 2022.

H. T. Kahraman, M. Akbel, and S. Duman, "Optimization of optimal power flow problem using multi-objective manta ray foraging optimizer," Applied Soft Computing, vol. 116, p. 108334, 2022.

E. E. Elattar, A. M. Shaheen, A. M. Elsayed, and R. A. El-Sehiemy, "Optimal power flow with emerged technologies of voltage source converter stations in meshed power systems," IEEE Access, vol. 8, pp. 166963-166979, 2020.

M. Ahmadipour et al., "A high-performance democratic political algorithm for solving multi-objective optimal power flow problem," Expert Systems with Applications, vol. 239, p. 122367, 2024.

R. V. Rao and V. Patel, "An improved teaching-learning-based optimization algorithm for solving unconstrained optimization problems," Scientia Iranica, vol. 20, no. 3, pp. 710-720, 2013.

R. V. Rao, V. Savsani, and J. Balic, "Teaching–learning-based optimization algorithm for unconstrained and constrained real-parameter optimization problems," Engineering Optimization, vol. 44, no. 12, pp. 1447-1462, 2012.

R. Rao, "Jaya: A simple and new optimization algorithm for solving constrained and unconstrained optimization problems," International Journal of Industrial Engineering Computations, vol. 7, no. 1, pp. 19-34, 2016.

R. V. Rao and A. Saroj, "Constrained economic optimization of shell-and-tube heat exchangers using elitist-Jaya algorithm," Energy, vol. 128, pp. 785-800, 2017.

E. Irmak, M. Ye?ilbudak, and O. Ta?demir, "Enhanced PV Power Prediction Considering PM10 Parameter by Hybrid JAYA-ANN Model," Electric Power Components and Systems, vol. 52, no. 11, pp. 1998-2007, 2024.

T. Cheng, M. Chen, P. J. Fleming, Z. Yang, and S. Gan, "An effective PSO-TLBO algorithm for multi-objective optimization," in 2016 IEEE Congress on Evolutionary Computation (CEC), 2016: IEEE, pp. 3977-3982.

H. Zein, A. S. Kurniasetiawati, and C. K. Wachjoe, "Fuel cost optimization of the power system by involving all operating limits based on the developed interior point algorithm," International Transactions on Electrical Energy Systems, vol. 30, no. 5, p. e12337, 2020.

M. Kaur and N. Narang, "An integrated optimization technique for optimal power flow solution," Soft Computing, vol. 24, pp. 10865-10882, 2020.

M. R. Adaryani and A. Karami, "Artificial bee colony algorithm for solving multi-objective optimal power flow problem," International Journal of Electrical Power & Energy Systems, vol. 53, pp. 219-230, 2013.

A.-A. A. Mohamed, Y. S. Mohamed, A. A. El-Gaafary, and A. M. Hemeida, "Optimal power flow using moth swarm algorithm," Electric Power Systems Research, vol. 142, pp. 190-206, 2017.

M. A. Taher, S. Kamel, F. Jurado, and M. Ebeed, "Modified grasshopper optimization framework for optimal power flow solution," Electrical Engineering, vol. 101, pp. 121-148, 2019.

S. Mirjalili, S. M. Mirjalili, and A. Lewis, "Grey wolf optimizer," Advances in engineering software, vol. 69, pp. 46-61, 2014.

A. Alhejji, M. E. Hussein, S. Kamel, and S. Alyami, "Optimal power flow solution with an embedded center-node unified power flow controller using an adaptive grasshopper optimization algorithm," IEEE Access, vol. 8, pp. 119020-119037, 2020.

T. M. Dao, T. H. B. Huy, D.-P. N. Do, and D. Ngoc Vo, "A chaotic equilibrium optimization for temperature-dependent optimal power flow," Smart Science, vol. 11, no. 2, pp. 380-394, 2023.

M. Ebeed et al., "A modified artificial hummingbird algorithm for solving optimal power flow problem in power systems," Energy Reports, vol. 11, pp. 982-1005, 2024.

M. S. Kumari and S. Maheswarapu, "Enhanced genetic algorithm based computation technique for multi-objective optimal power flow solution," International Journal of Electrical Power & Energy Systems, vol. 32, no. 6, pp. 736-742, 2010.

J. Zhang, S. Wang, Q. Tang, Y. Zhou, and T. Zeng, "An improved NSGA-III integrating adaptive elimination strategy to solution of many-objective optimal power flow problems," Energy, vol. 172, pp. 945-957, 2019.

R. P. Singh, V. Mukherjee, and S. Ghoshal, "Particle swarm optimization with an aging leader and challengers algorithm for the solution of optimal power flow problem," Applied Soft Computing, vol. 40, pp. 161-177, 2016.

H. Bouchekara, "Optimal power flow using black-hole-based optimization approach," Applied Soft Computing, vol. 24, pp. 879-888, 2014.

A. Bhattacharya and P. Chattopadhyay, "Application of biogeography-based optimisation to solve different optimal power flow problems," IET generation, transmission & distribution, vol. 5, no. 1, pp. 70-80, 2011.

A.-F. Attia, Y. A. Al-Turki, and A. M. Abusorrah, "Optimal power flow using adapted genetic algorithm with adjusting population size," Electric Power Components and Systems, vol. 40, no. 11, pp. 1285-1299, 2012.

A. Abou El Ela, M. Abido, and S. Spea, "Optimal power flow using differential evolution algorithm," Electric Power Systems Research, vol. 80, no. 7, pp. 878-885, 2010.

J. Zhang, Q. Tang, P. Li, D. Deng, and Y. Chen, "A modified MOEA/D approach to the solution of multi-objective optimal power flow problem," Applied Soft Computing, vol. 47, pp. 494-514, 2016.

E. Barocio, J. Regalado, E. Cuevas, F. Uribe, P. Zúñiga, and P. J. R. Torres, "Modified bio?inspired optimisation algorithm with a centroid decision making approach for solving a multi?objective optimal power flow problem," IET Generation, Transmission & Distribution, vol. 11, no. 4, pp. 1012-1022, 2017.




DOI (PDF): https://doi.org/10.20508/ijsmartgrid.v10i2.789.g427

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