Applied Mathematics and Mechanics >
Distributed stochastic model predictive control for energy dispatch with distributionally robust optimization
Received date: 2024-09-03
Revised date: 2024-12-09
Online published: 2025-02-02
Supported by
the National Natural Science Foundation of China (No. U24B20156), the National Defense Basic Scientific Research Program of China (No. JCKY2021204B051), the National Laboratory of Space Intelligent Control of China (Nos. HTKJ2023KL502005 and HTKJ2024KL502007)
Copyright
A chance-constrained energy dispatch model based on the distributed stochastic model predictive control (DSMPC) approach for an islanded multi-microgrid system is proposed. An ambiguity set considering the inherent uncertainties of renewable energy sources (RESs) is constructed without requiring the full distribution knowledge of the uncertainties. The power balance chance constraint is reformulated within the framework of the distributionally robust optimization (DRO) approach. With the exchange of information and energy flow, each microgrid can achieve its local supply-demand balance. Furthermore, the closed-loop stability and recursive feasibility of the proposed algorithm are proved. The comparative results with other DSMPC methods show that a trade-off between robustness and economy can be achieved.
Mengting LIN, Bin LI, C. CECATI . Distributed stochastic model predictive control for energy dispatch with distributionally robust optimization[J]. Applied Mathematics and Mechanics, 2025 , 46(2) : 323 -340 . DOI: 10.1007/s10483-025-3215-6
| [1] | MOOSAVIAN, S. F., NOOROLLAHI, Y., and SHOAEI, M. Renewable energy resources utilization planning for sustainable energy system development on a stand-alone island. Journal of Cleaner Production, 439, 140892 (2024) |
| [2] | DINCER, I. Renewable energy and sustainable development: a crucial review. Renewable and Sustainable Energy Reviews, 4, 157–175 (2000) |
| [3] | KAMAL, F. and CHOWDHURY, B. Model predictive control and optimization of networked microgrids. International Journal of Electrical Power & Energy Systems, 138, 107804 (2022) |
| [4] | ASIMAKOPOULOU, G. E., DIMEAS, A. L., and HATZIARGYRIOU, N. D. Leader-follower strategies for energy management of multi-microgrids. IEEE Transactions on Smart Grid, 4, 1909–1916 (2013) |
| [5] | THIRUGNANAM, K., EL-MOURSI, M. S., KHADKIKAR, V., ZEINELDIN, H. H., and AL HOSANI, M. Energy management of grid interconnected multi-microgrids based on P2P energy exchange: a data driven approach. IEEE Transactions on Power Systems, 36, 1546–1562 (2020) |
| [6] | DEY, B., MISRA, S., CHHUALSINGH, T., SAHOO, A. K., and SINGH, A. R. A hybrid metaheuristic approach to solve grid centric cleaner economic energy management of microgrid systems. Journal of Cleaner Production, 448, 141311 (2024) |
| [7] | NAWAZ, A., WU, J., YE, J., DONG, Y. D., and LONG, C. N. Distributed MPC-based energy scheduling for islanded multi-microgrid considering battery degradation and cyclic life deterioration. Applied Energy, 329, 120168 (2023) |
| [8] | SEN, S. and KUMAR, V. Distributed adaptive-MPC type optimal PMS for PV-battery based isolated microgrid. IEEE Systems Journal, 17, 546–557 (2022) |
| [9] | ZHAO, Z. L., GUO, J. T., LUO, X., LAI, C. S., YANG, P., LAI, L. L., LI, P., GUERRERO, J. M., and SHAHIDEHPOUR, M. Distributed robust model predictive control-based energy management strategy for islanded multi-microgrids considering uncertainty. IEEE Transactions on Smart Grid, 13, 2107–2120 (2022) |
| [10] | ZHAO, Z. L., XU, J. W., GUO, J. T., NI, Q., CHEN, B. Y., and LAI, L. L. Robust energy management for multi-microgrids based on distributed dynamic tube model predictive control. IEEE Transactions on Smart Grid, 15, 203–217 (2023) |
| [11] | GULIN, M., MATUSKO, J., and VASAK, M. Stochastic model predictive control for optimal economic operation of a residential DC microgrid. 2015 IEEE International Conference on Industrial Technology (ICIT), IEEE, Seville, 505-510 (2015) |
| [12] | COMINESI, S. R., FARINA, M., GIULIONI, L., PICASSO, B., and SCATTOLINI, R. A two-layer stochastic model predictive control scheme for microgrids. IEEE Transactions on Control Systems Technology, 26, 1–13 (2017) |
| [13] | KOU, P., LIANG, D. L., and GAO, L. Distributed EMPC of multiple microgrids for coordinated stochastic energy management. Applied Energy, 185, 939–952 (2017) |
| [14] | SHI, Z. C., LIANG, H., HUANG, S. J., and DINAVAHI, V. Distributionally robust chance-constrained energy management for islanded microgrids. IEEE Transactions on Smart Grid, 10, 2234–2244 (2018) |
| [15] | HOEFFDING, W. Probability inequalities for sums of bounded random variables. The Collected Works of Wassily Hoeffding, Springer, New York (1994) |
| [16] | KONG, W. C., DONG, Z. Y., JIA, Y. W., HILL, D. J., XU, Y., and ZHANG, Y. Short-term residential load forecasting based on LSTM recurrent neural network. IEEE Transactions on Smart Grid, 10, 841–851 (2019) |
| [17] | PARK, J. B., JEONG, Y. W., SHIN, J. R., and LEE, K. Y. An improved particle swarm optimization for nonconvex economic dispatch problems. IEEE Transactions on Power Systems, 25, 156–166 (2009) |
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