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Volume 1, Issue 2, Sustainable Energy Control and Optimization
Volume 1, Issue 2, 2025
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Sustainable Energy Control and Optimization, Volume 1, Issue 2, 2025: 53-60

Open Access | Research Article | 10 December 2025
Stochastic Optimal Energy Planning of the Multi-connected Grids by the Presence of Bi-facial PV Panels: Interaction of Micro-nano and Main Grid
1 Department of Electrical Engineering and Computer Science, York University, Toronto, Ontario, Canada
* Corresponding Author: Mohammad Shaterabadi, [email protected]
Received: 19 September 2025, Accepted: 23 September 2025, Published: 10 December 2025  
Abstract
The increasing greenhouse gas (GHG) emissions from fossil fuel-based energy systems have accelerated the global push toward cleaner technologies. Bi-facial photovoltaic (BPV) panels, capable of capturing solar irradiance from both sides, have emerged as a promising solution due to their higher energy yield and comparable costs to traditional PV systems. This paper explores the integration of BPV panels into a multi-connected grid comprising nano-, micro-, and main grid layers. A stochastic optimization framework is developed to address the uncertainties of solar irradiance. The problem is formulated as a Mixed-Integer Linear Programming (MILP) model and solved using the Augmented Epsilon Constraint (AEC) method in the General Algebraic Modeling System (GAMS) environment. Results demonstrate that incorporating BPV panels reduces microgrid operational costs by approximately 20%, boosts nano-grid profits by about 81%, and cuts emissions by about 10%, highlighting their potential to enhance system efficiency, flexibility, and sustainability.

Graphical Abstract
Stochastic Optimal Energy Planning of the Multi-connected Grids by the Presence of Bi-facial PV Panels: Interaction of Micro-nano and Main Grid

Keywords
bi-facial photovoltaic (BPV)
energy management (EM)
multi-grids optimization (MGO)
renewable energy sources (RES)
solar energy

Data Availability Statement
Data will be made available on request.

Funding
This work was supported without any funding.

Conflicts of Interest
The author declares no conflicts of interest.

Ethical Approval and Consent to Participate
Not applicable.

References
  1. Aeggegn, D. B., Nyakoe, G. N., & Wekesa, C. (2024). A state of the art review on energy management techniques and optimal sizing of DERs in grid-connected multi-microgrids. Cogent Engineering, 11(1), 2340306.
    [CrossRef]   [Google Scholar]
  2. Alam, M., Gul, M. S., & Muneer, T. (2023). Performance analysis and comparison between bifacial and monofacial solar photovoltaic at various ground albedo conditions. Renewable Energy Focus, 44, 295-316.
    [CrossRef]   [Google Scholar]
  3. Zheng, W., Lu, H., Zhang, M., Wu, Q., Hou, Y., & Zhu, J. (2023). Distributed energy management of multi-entity integrated electricity and heat systems: A review of architectures, optimization algorithms, and prospects. IEEE Transactions on Smart Grid, 15(2), 1544-1561.
    [CrossRef]   [Google Scholar]
  4. Zhou, B., Zou, J., Chung, C. Y., Wang, H., Liu, N., Voropai, N., & Xu, D. (2021). Multi-microgrid energy management systems: Architecture, communication, and scheduling strategies. Journal of Modern Power Systems and Clean Energy, 9(3), 463-476.
    [CrossRef]   [Google Scholar]
  5. Xing, X., & Jia, L. (2024). Energy management in microgrid and multi‐microgrid. IET Renewable Power Generation, 18(15), 3480-3508.
    [CrossRef]   [Google Scholar]
  6. Bustos, R., Marín, L. G., Navas-Fonseca, A., Reyes-Chamorro, L., & Sáez, D. (2023). Hierarchical energy management system for multi-microgrid coordination with demand-side management. Applied Energy, 342, 121145.
    [CrossRef]   [Google Scholar]
  7. Yu, N., Duan, W., & Fan, X. (2024). Hydrogen-fueled microgrid energy management: Novel EMS approach for efficiency and reliability. International Journal of Hydrogen Energy, 80, 1466-1476.
    [CrossRef]   [Google Scholar]
  8. Kumar, R. P., & Karthikeyan, G. (2024). A multi-objective optimization solution for distributed generation energy management in microgrids with hybrid energy sources and battery storage system. Journal of Energy Storage, 75, 109702.
    [CrossRef]   [Google Scholar]
  9. Rashidi, R., Hatami, A., Moradi, M., & Liang, X. (2024). Optimal Multi-Microgrids Energy Management Through Information Gap Decision Theory and Tunicate Swarm Algorithm. IEEE Access, 12, 114795–114808.
    [CrossRef]   [Google Scholar]
  10. Li, H., Ren, Z., Trivedi, A., Srinivasan, D., & Liu, P. (2024). Optimal Planning of Dual-Zero Microgrid on an Island Toward Net-Zero Carbon Emission. IEEE Transactions on Smart Grid, 15(2), 1243–1257.
    [CrossRef]   [Google Scholar]
  11. Ahmad, S. S., Almehizia, A. A., Khalid, M., & Al-Ismail, F. S. (2024). Planning and Operation of an Interconnected Energy and Gas System: A Robust Optimization Approach. IEEE Access, 12, 168517–168530.
    [CrossRef]   [Google Scholar]
  12. Zhao, Z., Xu, J., Guo, J., Ni, Q., Chen, B., & Lai, L. L. (2024). Robust Energy Management for Multi-Microgrids Based on Distributed Dynamic Tube Model Predictive Control. IEEE Transactions on Smart Grid, 15(1), 203–217.
    [CrossRef]   [Google Scholar]
  13. Vera, E. G., Canizares, C. A., Pirnia, M., Guedes, T. P., & Trujillo, J. D. M. (2022). Two-stage stochastic optimization model for multi-microgrid planning. IEEE Transactions on Smart Grid, 14(3), 1723-1735.
    [CrossRef]   [Google Scholar]
  14. Hussain, S., El-Bayeh, C. Z., Lai, C., & Eicker, U. (2021). Multi-Level Energy Management Systems Toward a Smarter Grid: A Review. IEEE Access, 9, 71994–72016.
    [CrossRef]   [Google Scholar]
  15. Al-Masri, H. M. K., Dawaghreh, O. M., & Magableh, S. K. (2023). Realistic performance evaluation and optimal energy management of a large-scale bifacial photovoltaic system. Energy Conversion and Management, 286, 117057.
    [CrossRef]   [Google Scholar]
  16. Tabar, M. A., Jirdehi, M. A., & Shaterabadi, M. (2024). Impact of bi-facial PV panels’ presence as the novel option on the energy management and scheduling of the interconnected grids: comprehensive outlook. Journal of Building Engineering, 90, 109495.
    [CrossRef]   [Google Scholar]
  17. Rodríguez-Gallegos, C. D., Liu, H., Gandhi, O., Singh, J. P., Krishnamurthy, V., Kumar, A., ... & Peters, I. M. (2020). Global techno-economic performance of bifacial and tracking photovoltaic systems. Joule, 4(7), 1514-1541.
    [CrossRef]   [Google Scholar]
  18. Jirdehi, M. A., & Ahmadi, S. (2022). The optimal energy management in multiple grids: Impact of interconnections between microgrid–nanogrid on the proposed planning by considering the uncertainty of clean energies. ISA transactions, 131, 323-338.
    [CrossRef]   [Google Scholar]
  19. Shaterabadi, M., Ahmadi, S., & Jirdehi, M. A. (2024). Stochastic energy planning of a deltoid structure of interconnected multilateral grids by considering hydrogen station and demand response programs. Applied Energy, 375, 123737.
    [CrossRef]   [Google Scholar]

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APA Style
Shaterabadi, M. (2025). Stochastic Optimal Energy Planning of the Multi-connected Grids by the Presence of Bi-facial PV Panels: Interaction of Micro-nano and Main Grid. Sustainable Energy Control and Optimization, 1(2), 53–60. https://doi.org/10.62762/SECO.2025.864874
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TY  - JOUR
AU  - Shaterabadi, Mohammad
PY  - 2025
DA  - 2025/12/10
TI  - Stochastic Optimal Energy Planning of the Multi-connected Grids by the Presence of Bi-facial PV Panels: Interaction of Micro-nano and Main Grid
JO  - Sustainable Energy Control and Optimization
T2  - Sustainable Energy Control and Optimization
JF  - Sustainable Energy Control and Optimization
VL  - 1
IS  - 2
SP  - 53
EP  - 60
DO  - 10.62762/SECO.2025.864874
UR  - https://www.icck.org/article/abs/SECO.2025.864874
KW  - bi-facial photovoltaic (BPV)
KW  - energy management (EM)
KW  - multi-grids optimization (MGO)
KW  - renewable energy sources (RES)
KW  - solar energy
AB  - The increasing greenhouse gas (GHG) emissions from fossil fuel-based energy systems have accelerated the global push toward cleaner technologies. Bi-facial photovoltaic (BPV) panels, capable of capturing solar irradiance from both sides, have emerged as a promising solution due to their higher energy yield and comparable costs to traditional PV systems. This paper explores the integration of BPV panels into a multi-connected grid comprising nano-, micro-, and main grid layers. A stochastic optimization framework is developed to address the uncertainties of solar irradiance. The problem is formulated as a Mixed-Integer Linear Programming (MILP) model and solved using the Augmented Epsilon Constraint (AEC) method in the General Algebraic Modeling System (GAMS) environment. Results demonstrate that incorporating BPV panels reduces microgrid operational costs by approximately 20%, boosts nano-grid profits by about 81%, and cuts emissions by about 10%, highlighting their potential to enhance system efficiency, flexibility, and sustainability.
SN  - 3068-7330
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 
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@article{Shaterabadi2025Stochastic,
  author = {Mohammad Shaterabadi},
  title = {Stochastic Optimal Energy Planning of the Multi-connected Grids by the Presence of Bi-facial PV Panels: Interaction of Micro-nano and Main Grid},
  journal = {Sustainable Energy Control and Optimization},
  year = {2025},
  volume = {1},
  number = {2},
  pages = {53-60},
  doi = {10.62762/SECO.2025.864874},
  url = {https://www.icck.org/article/abs/SECO.2025.864874},
  abstract = {The increasing greenhouse gas (GHG) emissions from fossil fuel-based energy systems have accelerated the global push toward cleaner technologies. Bi-facial photovoltaic (BPV) panels, capable of capturing solar irradiance from both sides, have emerged as a promising solution due to their higher energy yield and comparable costs to traditional PV systems. This paper explores the integration of BPV panels into a multi-connected grid comprising nano-, micro-, and main grid layers. A stochastic optimization framework is developed to address the uncertainties of solar irradiance. The problem is formulated as a Mixed-Integer Linear Programming (MILP) model and solved using the Augmented Epsilon Constraint (AEC) method in the General Algebraic Modeling System (GAMS) environment. Results demonstrate that incorporating BPV panels reduces microgrid operational costs by approximately 20\%, boosts nano-grid profits by about 81\%, and cuts emissions by about 10\%, highlighting their potential to enhance system efficiency, flexibility, and sustainability.},
  keywords = {bi-facial photovoltaic (BPV), energy management (EM), multi-grids optimization (MGO), renewable energy sources (RES), solar energy},
  issn = {3068-7330},
  publisher = {Institute of Central Computation and Knowledge}
}

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