Multistage robust optimization for the day-ahead scheduling of hybrid thermal-hydro-wind-solar systems

• Published in: Journal of global optimization Vol. 88; no. 4; pp. 999 - 1034
• Main Authors: Zhong, Zhiming, Fan, Neng, Wu, Lei
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.04.2024; Springer; Springer Nature B.V
• Subjects: Algorithms; Analysis; Aquatic resources; Columnar structure; Computer Science; Decision-making; Flexibility; Green technology; Hybrid systems; Mathematics; Mathematics and Statistics; Operations Research/Decision Theory; Optimization; Power; Real Functions; Scheduling; Solar energy; Solar power generation; Water resources; Water-power; Multistage robust optimization; Hybrid power system; Renewable energy; Day-ahead scheduling
• ISSN: 0925-5001; 1573-2916
• DOI: 10.1007/s10898-023-01328-2

The integration of large-scale uncertain and uncontrollable wind and solar power generation has brought new challenges to the operations of modern power systems. In a power system with abundant water resources, hydroelectric generation with high operational flexibility is a powerful tool to promote a higher penetration of wind and solar power generation. In this paper, we study the day-ahead scheduling of a thermal-hydro-wind-solar power system. The uncertainties of renewable energy generation, including uncertain natural water inflow and wind/solar power output, are taken into consideration. We explore how the operational flexibility of hydroelectric generation and the coordination of thermal-hydro power can be utilized to hedge against uncertain wind/solar power under a multistage robust optimization (MRO) framework. To address the computational issue, mixed decision rules are employed to reformulate the original MRO model with a multi-level structure into a bi-level one. Column-and-constraint generation (C &CG) algorithm is extended into the MRO case to solve the bi-level model. The proposed optimization approach is tested in three real-world cases. The computational results demonstrate the capability of hydroelectric generation to promote the accommodation of uncertain wind and solar power.