Distributionally Robust Chance-Constrained Energy Management of Microgrids Using Quantum Teaching Learning Based Optimization

Document Type : Research paper

Authors

1 Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran.

2 Centre of Excellence in Power System Management and Control, Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran.

Abstract

Optimal microgrid (MG) energy management is a critical issue due to the significant expansion of renewable energy sources (RESs). However, unpredictable changes in demand and the inherent intermittency of RESs lead to considerable uncertainties. In this paper, the distributionally robust chance-constrained (DRCC) method is combined with the quantum version of the teaching–learning-based optimization (quantum TLBO) algorithm for the first time to address the energy management problem of a grid-connected MG. Specifically, the DRCC method is employed to model uncertainties in both loads and RESs. Then, the quantum TLBO (QTLBO) algorithm is utilized to solve the energy management problem with the objective of minimizing the operating cost of the MG. The simulation results clearly demonstrate that the QTLBO algorithm outperforms the TLBO, differential evolution (DE), and real-coded genetic algorithm (RCGA) in terms of both convergence speed to the final optimal solution and the quality of the solution achieved. Additionally, the effectiveness of the proposed DRCC method in handling uncertainties is compared with the robust optimization (RO) method. Numerical simulation results show that the DRCC method combined with QTLBO is 23.58% more effective than the RO method combined with QTLBO.

Keywords

Main Subjects


  1. M. Rodriguez, D. Arcos-Aviles, and W. Martinez, “Fuzzy logic-based energy management for isolated microgrid using meta-heuristic optimization algorithms,” Appl. Energy, vol. 335, p. 120771, 2023.
  2. M. H. Alabdullah and M. A. Abido, “Microgrid energy management using deep Q-network reinforcement learning,” Alexandria Eng. J., vol. 61, no. 11, pp. 9069–9078, 2022.
  3. M. N. Alam, S. Chakrabarti, and A. Ghosh, “Networked microgrids: State-of-the-art and future perspectives,” IEEE Trans. Ind. Informat., vol. 15, no. 3, pp. 1238–1250, 2018.
  4. E. Shahrabi, S. M. Hakimi, A. Hasankhani, G. Derakhshan, and B. Abdi, “Developing optimal energy management of energy hub in the presence of stochastic renewable energy resources,” Sustain. Energy Grids Netw., vol. 26, p. 100428, 2021.
  5. M. Daneshvar, B. Mohammadi-Ivatloo, M. Abapour, S. Asadi, and R. Khanjani, “Distributionally robust chance-constrained transactive energy framework for coupled electrical and gas microgrids,” IEEE Trans. Ind. Electron., vol. 68, no. 1, pp. 347–357, 2020.
  6. Y. Zhou, W. Yu, S. Zhu, B. Yang, and J. He, “Distributionally robust chance-constrained energy management of an integrated retailer in the multi-energy market,” Appl. Energy, vol. 286, p. 116516, 2021.
  7. R. Rashidi, A. Hatami, M. Moradi, and X. Liang, “Optimal multi-microgrids energy management through information gap decision theory and tunicate swarm algorithm,” IEEE Access, 2024.
  8. X. Fan, Y. Chen, R. Wang, J. Luo, J. Wang, and D. Cao, “Integrated energy microgrid economic dispatch optimization model based on information-gap decision theory,” Energies, vol. 16, no. 8, p. 3314, 2023.
  9. S. Rong et al., “Information gap decision theory-based stochastic optimization for smart microgrids with multiple transformers,” Appl. Sci., vol. 13, no. 16, p. 9305, 2023.
  10. Y. Zou, Y. Xu, and C. Zhang, “A risk-averse adaptive stochastic optimization method for transactive energy management of a multi-energy microgrid,” IEEE Trans. Sustain. Energy, vol. 14, no. 3, pp. 1599–1611, 2023.
  11. H. Abunima, W.-H. Park, M. B. Glick, and Y.-S. Kim, “Two-stage stochastic optimization for operating a renewable-based microgrid,” Appl. Energy, vol. 325, p. 119848, 2022.
  12. M. S. AlDavood, A. Mehbodniya, J. L. Webber, M. Ensaf, and M. Azimian, “Robust optimization-based optimal operation of islanded microgrid considering demand response,” Sustainability, vol. 14, no. 21, p. 14194, 2022.
  13. P. K. Mianaei, M. Aliahmadi, S. Faghri, M. Ensaf, A. Ghasemi, and A. A. Abdoos, “Chance-constrained programming for optimal scheduling of combined cooling, heating, and power-based microgrid coupled with flexible technologies,” Sustain. Cities Soc., vol. 77, p. 103502, 2022.
  14. K. A. A. Sumarmad, N. Sulaiman, N. I. A. Wahab, and H. Hizam, “Microgrid energy management system based on fuzzy logic and monitoring platform for data analysis,” Energies, vol. 15, no. 11, p. 4125, 2022.
  15. S. Wang, Q. Tan, X. Ding, and J. Li, “Efficient microgrid energy management with neural-fuzzy optimization,” Int. J. Hydrogen Energy, vol. 64, pp. 269–281, 2024.
  16. L. P. Raghav, R. S. Kumar, D. K. Raju, and A. R. Singh, “Optimal energy management of microgrids using quantum teaching learning based algorithm,” IEEE Trans. Smart Grid, vol. 12, no. 6, pp. 4834–4842, 2021.
  17. M. Hojjat and A. Ghasemi, “A chance-constrained programming approach to solve the energy management problem in microgrids considering uncertainties of renewable energy resources,” in Proc. Int. Conf. Electr., Comput. Energy Technol., pp. 1–7, IEEE, 2024.
  18. M. Mohiti, M. Mazidi, N. Oggioni, D. Steen, and L. A. Tuan, “An IGDT-based energy management system for local energy communities considering phase-change thermal energy storage,” IEEE Trans. Ind. Appl., vol. 60, no. 3, pp. 4470–4481, 2024.
  19. Z. Esmaeili and S. H. Hosseini, “Optimal energy management of microgrids using quantum teaching-learning-based algorithm,” AUT J. Electr. Eng., vol. 55, no. 2, pp. 225–240, 2023.
  20. C. Duan, W. Fang, L. Jiang, L. Yao, and J. Liu, “Distributionally robust chance-constrained approximate ACOPF with Wasserstein metric,” IEEE Trans. Power Syst., vol. 33, no. 5, pp. 4924–4936, 2018.
  21. H. Qiu, W. Gu, Y. Xu, and B. Zhao, “Multi-time-scale rolling optimal dispatch for AC/DC hybrid microgrids with day-ahead distributionally robust scheduling,” IEEE Trans. Sustain. Energy, vol. 10, no. 4, pp. 1653–1663, 2018.
  22. M. Mahmoudi, B. Alizadeh, and S. Dehghan, “Distributionally robust chance-constrained transmission expansion planning using a distributed solution,” IEEE Trans. Netw. Sci. Eng., 2024.
  23. M. Rayati, M. Bozorg, R. Cherkaoui, and M. Carpita, “Distributionally robust chance-constrained optimization for providing flexibility in an active distribution network,” IEEE Trans. Smart Grid, vol. 13, no. 4, pp. 2920–2934, 2022.
  24. M. Dashtdar, M. Bajaj, and S. M. S. Hosseinimoghadam, “Design of optimal energy management system in a residential microgrid based on smart control,” Smart Sci., vol. 10, no. 1, pp. 25–39, 2022.
  25. O. H. M. J. I. A. Ross, “A review of quantum-inspired metaheuristics: Going from classical computers to real quantum computers,” IEEE Access, vol. 8, pp. 814–838, 2019.
  26. Y. Li, M. Tian, G. Liu, C. Peng, and L. Jiao, “Quantum optimization and quantum learning: A survey,” IEEE Access, vol. 8, pp. 23568–23593, 2020.
  27.   Z. Shi, H. Liang, S. Huang, and V. Dinavahi, “Distributionally robust chance-constrained energy management for islanded microgrids,” IEEE Trans. Smart Grid, vol. 10, no. 2, pp. 2234–2244, 2018.
  28.   D. Huo, C. Gu, K. Ma, W. Wei, Y. Xiang, and S. Le Blond, “Chance-constrained optimization for multienergy hub systems in a smart city,” IEEE Trans. Ind. Electron., vol. 66, no. 2, pp. 1402–1412, 2018.
  29. F. Zou, D. Chen, and Q. Xu, “A survey of teaching–learning-based optimization,” Neurocomputing, vol. 335, pp. 366–383, 2019.
  30. A. Kaveh, M. Kamalinejad, K. B. Hamedani, and H. Arzani, “Quantum teaching-learning-based optimization algorithm for sizing optimization of skeletal structures with discrete variables,” in Structures, vol. 32, pp. 1798–1819, Elsevier, 2021.
  31. A. A. Moghaddam, A. Seifi, T. Niknam, and M. R. A. Pahlavani, “Multi-objective operation management of a renewable microgrid with back-up micro-turbine/fuel cell/battery hybrid power source,” Energy, vol. 36, no. 11, pp. 6490–6507, 2011.

Articles in Press, Corrected Proof
Available Online from 18 July 2026
  • Receive Date: 12 April 2025
  • Revise Date: 02 September 2025
  • Accept Date: 27 September 2025
  • First Publish Date: 18 July 2026