Distributed stochastic model predictive control for energy dispatch with distributionally robust optimization

doi:10.1007/s10483-025-3215-6

Applied Mathematics and Mechanics (English Edition) ›› 2025, Vol. 46 ›› Issue (2): 323-340.doi: https://doi.org/10.1007/s10483-025-3215-6

收稿日期:2024-09-03 修回日期:2024-12-09 出版日期:2025-02-03 发布日期:2025-02-02

Distributed stochastic model predictive control for energy dispatch with distributionally robust optimization

Mengting LIN¹, Bin LI¹^,^†(), C. CECATI²

^1.School of Aeronautics and Astronautics, Sichuan University, Chengdu 610065, China
^2.Department of Information Engineering, Computer Science and Mathematics, University of L’Aquila, L’Aquila 67100, Italy

Received:2024-09-03 Revised:2024-12-09 Online:2025-02-03 Published:2025-02-02
Contact: Bin LI E-mail:bin.li@scu.edu.cn
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)

摘要/Abstract

Abstract:

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.

Key words: distributed stochastic model predictive control (DSMPC), distributionally robust optimization (DRO), islanded multi-microgrid, energy dispatch strategy

中图分类号:

TM73

. [J]. Applied Mathematics and Mechanics (English Edition), 2025, 46(2): 323-340.

Mengting LIN, Bin LI, C. CECATI. Distributed stochastic model predictive control for energy dispatch with distributionally robust optimization[J]. Applied Mathematics and Mechanics (English Edition), 2025, 46(2): 323-340.

图/表 15

Unit	$E i min$ /kWh	$E i max$ /kWh	$P i chrg,max$ /kW	$P i dcrg,max$ /kW	$η i chrg$	$η i dcrg$
ESS1	40	320	100	100	0.65	0.7
ESS2	40	320	100	100	0.85	0.8
ESS3	40	320	100	100	0.95	0.9

Unit	$P i DG,min$ /kW	$P i DG,max$ /kW	$P i DG,down$ /kW	$P i DG,up$ /kW
DG1	10	150	30	30
DG2	8	135	25	25
DG3	15	280	40	40

Method	$ε$
Method	0.01	0.05	0.1	0.15	0.2
Proposed DDR-MPC	$1.625 × 106$	$1.497 × 106$	$1.439 × 106$	$1.403 × 106$	$1.476 × 106$
Approach in Ref. [13]	$1.521 × 106$	$1.446 × 106$	$1.354 × 106$	$1.314 × 106$	$1.290 × 106$

Method	$ε$
Method	0.01	0.05	0.1	0.15	0.2
Proposed DDR-MPC	0/1 000	16/1 000	25/1 000	42/1 000	83/1 000
Approach in Ref. [13]	0/1 000	21/1 000	32/1 000	80/1 000	121/1 000

参考文献 17

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Distributed stochastic model predictive control for energy dispatch with distributionally robust optimization

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