Call For Paper - Upcoming Conferences

Research Article | Open Access | Download PDF
Volume 13 | Issue 5 | Year 2026 | Article Id. IJEEE-V13I5P112 | DOI : https://doi.org/10.14445/23488379/IJEEE-V13I5P112

A Stackelberg Game-Based DSM Framework for Residential Energy Management in Oman: A Comparative Analysis of PSO and Optuna Optimizations


Mohamed Yousuf, Mohd Fairouz Mohd Yousof, Mohamad Fani Sulaima

Received Revised Accepted Published
20 Feb 2026 19 Mar 2026 18 Apr 2026 30 May 2026

Citation :

Mohamed Yousuf, Mohd Fairouz Mohd Yousof, Mohamad Fani Sulaima, "A Stackelberg Game-Based DSM Framework for Residential Energy Management in Oman: A Comparative Analysis of PSO and Optuna Optimizations," International Journal of Electrical and Electronics Engineering, vol. 13, no. 5, pp. 143-160, 2026. Crossref, https://doi.org/10.14445/23488379/IJEEE-V13I5P112

Abstract

Nowadays, the power system networks are facing some crucial problems due to the Lack of resources and rising household energy demands. The conventional Demand-Side Management (DSM) techniques are often inflexible and unresponsive, limiting their capacity to maximize energy consumption efficiency. In this research work, a Non-Cooperative model of Stackelberg Game-Theoretic (SGT) strategy is proposed for a residential energy management system with a highly effective and flexible Metaheuristic optimization algorithm, Particle Swarm Optimization (PSO), and a novel method of the Optuna optimization framework. Based on the monthly loads record of 2023 in the Ad Dakhliyah region, Oman, the proposed algorithms have proven to be efficient and flexible in the smart grid application domain. The historical data have been applied to the SGT-DSM framework with the proposed optimization methods. This comparative analysis shows a 35.08% decline in energy consumption using the existing method of PSO strategy and a 45.45% decline when applying a novel Optuna technique annually. From the results, the cost-saving opportunities and the levels of accuracy in RMSE (Root Mean Square Error) and MAE (Mean Average Error) metrics are observed with both approaches. Finally, the results have been compared and proved from the analysis that Optuna exhibits a more profitable economic outcome, better grid reliability, and good performance in balancing loads, even PSO's better performance in grid reliability and load balance system.

Keywords

Stackelberg Game Theory, Non-Cooperative model, Demand-Side Management, Particle Swarm Optimization, Optuna, Energy Performance Metrics, Grid reliability, and Load balancing metrics.

References

  1. S. Yilmaz, A. Rinaldi, and M. K. Patel, “DSM Interactions: What is the Impact of Appliance Energy Efficiency Measures on the Demand Response (Peak Load Management)?,” Energy Policy, vol. 139, 2020.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  2. Mutiu Shola Bakare et al., “A Comprehensive Overview on Demand Side Energy Management towards Smart Grids: Challenges, Solutions, and Future Direction,” Energy Informatics, vol. 6, 2023. 
    [
    CrossRef] [Google Scholar] [Publisher Link]
  3. Geetha Sivanantham, and Srivatsun Gopalakrishnan, “A Stackelberg Game Theoretical Approach for Demand Response in Smart Grid,” Personal and Ubiquitous Computing, vol. 24, no. 5, pp. 511-518, 2019. 
    [
    CrossRef] [Google Scholar] [Publisher Link]
  4. Jun Li, Tao Li, and Daoyi Dong, “Demand Response Management of Smart Grid Based on Stackelberg-Evolutionary Joint Game,” Science China Information Sciences, vol. 66, 2023.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  5. Jun He et al., “Application of Game Theory in Integrated Energy System Systems: A Review,” IEEE Access, vol. 8, pp. 93380-93397, 2020.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  6. Fahad R. Albogamy et al., “Real-Time Energy Management and Load Scheduling with Renewable Energy Integration in Smart Grid,” Sustainability, vol. 14, no. 3, 2022.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  7. Abhishek Tiwari, and Naran M. Pindoriya, “Automated Demand Response in Smart Distribution Grid: A Review on Metering Infrastructure, Communication Technology and Optimization Models,” Electric Power Systems Research, vol. 206, 2022.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  8. M. Usman Saleem et al., “Integrating Smart Energy Management System with Internet of Things and Cloud Computing for Efficient Demand Side Management in Smart Grids,” Energies, vol. 16, no. 12, 2023.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  9. Abdullah Nawaz et al., “An Intelligent Integrated Approach for Efficient Demand Side Management with Forecaster and Advanced Metering Infrastructure Frameworks in Smart Grid,” IEEE Access, vol. 8, pp. 132551-132581, 2020.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  10. Eity Sarker et al., “Optimal Management of Home Loads with Renewable Energy Integration and Demand Response Strategy,” Energy, vol. 210, 2020. 
    [
    CrossRef] [Google Scholar] [Publisher Link]
  11. Jun Li, Xiaotai Wu, and Tao Li, “Demand Response Management of Smart Grid Based on Bayesian Stackelberg Game Approach,” Journal of Systems Science and Complexity, vol. 39, pp. 1477-1496, 2025.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  12. Aviad Navon et al., “Applications of Game Theory to Design and Operation of Modern Power Systems: A Comprehensive Review,” Energies, vol. 13, no. 15, 2020.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  13. Hala Alsalloum, Leila Merghem-Boulahia, and Rana Rahim, “Hierarchical System Model for the Energy Management in the Smart Grid: A Game Theoretic Approach,” Sustainable Energy, Grids and Networks, vol. 21, 2020.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  14. Lefeng Cheng et al., “Optimizing Electricity Markets Through Game-Theoretical Methods: Strategic and Policy Implications for Power Purchasing and Generation Enterprises,” Mathematics, vol. 13, no. 3, 2025.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  15. Zhichao Zhang et al., “Prediction Accuracy of Stackelberg Game Model of Electricity Price in Smart Grid Power Market Environment,” Energies, vol. 18, no. 3, 2025.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  16. Li Dengfeng et al., “Optimization Method of Time-of-Use Electricity Price for the Cost Savings of Power Grid Investment,” Frontiers in Energy Research, vol. 12, pp. 1232-1245, 2024.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  17. Gokul Sidarth Thirunavukkarasu et al., “Role of Optimization Techniques in Microgrid Energy Management Systems - A Review,” Energy Strategy Reviews, vol. 43, 2022.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  18. Amit Shewale et al., “An Overview of Demand Response in Smart Grid and Optimization Techniques for Efficient Residential Appliance Scheduling Problem,” Energies, vol. 13, no. 16, 2020.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  19. Christoforos Menos-Aikateriniadis, Ilias Lamprinos, and Pavlos S. Georgilakis, “Particle Swarm Optimization in Residential Demand-Side Management: A Review on Scheduling and Control Algorithms for Demand Response Provision,” Energies, vol. 15, no. 6, 2022.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  20. José Adrián Rama Curiel, and Jagruti Thakur, “A Novel Approach for Direct Load Control of Residential Air Conditioners for Demand Side Management in Developing Regions,” Energy, vol. 258, 2022.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  21. Subhasis Panda et al., “Residential Demand Side Management Model, Optimization and Future Perspective: A Review,” Energy Reports, vol. 8, pp. 3727-3766, 2022.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  22. Songhao Zhao, “Research on the Application of Swarm Behavior to Artificial Intelligence Systems,” Applied and Computational Engineering, vol. 120, pp. 158-163, 2025.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  23. Dongshu Wang, Dapei Tan, and Lei Liu, “Particle Swarm Optimization Algorithm: An Overview,” Soft Computing, vol. 22, no. 2, pp. 387-408, 2018.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  24. Ricardo Faia et al., “Demand Response Optimization Using Particle Swarm Algorithm Considering Optimum Battery Energy Schedule in A Residential House,” Energies, vol. 12, no. 9, 2019.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  25. Yang You, Qianwen Xu, and Carlo Fischione, “Hierarchical Online Game-Theoretic Framework for Real-Time Energy Trading in Smart Grid,” IEEE Transactions on Smart Grid, vol. 15, no. 2, pp. 1634-1645, 2024.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  26. Dereje Tarekegn, Surafel Tilahun, and Tekle Gemechu, “A Review on Convergence Analysis of Particle Swarm Optimization,” International Journal of Swarm Intelligence Research, vol. 14, no. 1, pp. 1-34, 2023.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  27. Brian Tarroja et al., “Metrics for Evaluating the Impacts of Intermittent Renewable Generation on Utility Load-Balancing,” Energy, vol. 42, no. 1, pp. 546-562, 2012.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  28. Gabriel Gómez-Ruiz et al., “A Game-Theoretic Approach to Fair and Grid-Aware Load Flexibility Allocation in Residential Distribution Networks,” Computers and Electrical Engineering, vol. 131, 2026.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  29. A. Sunantha et al., “Smart Grid Optimization: Implementing AI and Machine Learning for Predictive Energy Load Balancing,” 2025 Global Conference in Emerging Technology (GINOTECH), PUNE, India, 2025.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  1. Yanfang Mo et al., “Optimal Online Algorithms for Peak-Demand Reduction Maximization with Energy Storage,” e-Energy '21: Proceedings of the Twelfth ACM International Conference on Future Energy Systems, pp. 73-83, 2021.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  2. NAMA Distribution Company - Oman / Annual Report, 2023. [Online]. Available: https://distribution.nama.om/annual-report
  3. Authority for Public Services Regulation (APSR), Oman / Annual Report, 2023. [Online]. Available: https://apsr.om/pages/home
  4. Shahid Hasan et al., “Oman Electricity Sector: Features, Challenges and Opportunities for Market Integration,” KAPSARC Discussion Paper, Riyadh, Saudi Arabia, 2019.
    [
    CrossRef] [Google Scholar] [Publisher Link]
  1. Optuna Development Team, Efficient Optimization Algorithms - Optuna Documentation, 2024. [Online]. Available: https://optuna.readthedocs.io/en/stable/tutorial/10_key_features/003_efficient_optimization_algorithms.html