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

Zhong, Zhiming; Fan, Neng; Wu, Lei

doi:10.1007/s10898-023-01328-2

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

Journal Article · 21 September 2023 · Journal of Global Optimization

DOI: https://doi.org/10.1007/s10898-023-01328-2 · OSTI ID:2438046

Zhong, Zhiming ^[1];

^[2]; Wu, Lei ^[3]

University of Arizona, Tucson, AZ (United States); Stevens Institute of Technology
University of Arizona, Tucson, AZ (United States)
Stevens Institute of Technology, Hoboken, NJ (United States)

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. Furthermore, the computational results demonstrate the capability of hydroelectric generation to promote the accommodation of uncertain wind and solar power.

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Research Organization:: Stevens Institute of Technology, Hoboken, NJ (United States)

Sponsoring Organization:: USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Water Power Technologies Office

Grant/Contract Number:: EE0008944

OSTI ID:: 2438046

Journal Information:: Journal of Global Optimization, Journal Name: Journal of Global Optimization Journal Issue: 4 Vol. 88; ISSN 0925-5001

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

References (31)

Introduction to Stochastic Programming Birge, John R.; Louveaux, François Springer Series in Operations Research and Financial Engineering https://doi.org/10.1007/978-1-4614-0237-4	book	January 2011
Binary decision rules for multistage adaptive mixed-integer optimization Bertsimas, Dimitris; Georghiou, Angelos Mathematical Programming, Vol. 167, Issue 2 https://doi.org/10.1007/s10107-017-1135-6	journal	March 2017
Scope of stationary multi-objective evolutionary optimization: a case study on a hydro-thermal power dispatch problem Deb, Kalyanmoy Journal of Global Optimization, Vol. 41, Issue 4 https://doi.org/10.1007/s10898-007-9261-y	journal	December 2007
Modular global optimisation in chemical engineering Balendra, S.; Bogle, I. D. L. Journal of Global Optimization, Vol. 45, Issue 1 https://doi.org/10.1007/s10898-009-9401-7	journal	February 2009
Distributionally robust chance constrained optimization for economic dispatch in renewable energy integrated systems Tong, Xiaojiao; Sun, Hailin; Luo, Xiao Journal of Global Optimization, Vol. 70, Issue 1 https://doi.org/10.1007/s10898-017-0572-3	journal	October 2017
ROmodel: modeling robust optimization problems in Pyomo Wiebe, Johannes; Misener, Ruth Optimization and Engineering, Vol. 23, Issue 4 https://doi.org/10.1007/s11081-021-09703-2	journal	December 2021
Network-constrained unit commitment under significant wind penetration: A multistage robust approach with non-fixed recourse G. Cobos, Noemi; Arroyo, José M.; Alguacil, Natalia Applied Energy, Vol. 232 https://doi.org/10.1016/j.apenergy.2018.09.102	journal	December 2018
Process systems engineering – The generation next? Pistikopoulos, E. N.; Barbosa-Povoa, Ana; Lee, Jay H. Computers & Chemical Engineering, Vol. 147 https://doi.org/10.1016/j.compchemeng.2021.107252	journal	April 2021
Multi-scale integration for enhanced resilience of sustainable energy supply chains: Perspectives and challenges Chrisandina, N. J.; Vedant, S.; Iakovou, E. Computers & Chemical Engineering, Vol. 164 https://doi.org/10.1016/j.compchemeng.2022.107891	journal	August 2022
A hybrid robust-stochastic optimization approach for day-ahead scheduling of cascaded hydroelectric system in restructured electricity market Zhong, Zhiming; Fan, Neng; Wu, Lei European Journal of Operational Research, Vol. 306, Issue 2 https://doi.org/10.1016/j.ejor.2022.06.061	journal	April 2023
Sizing, optimization, control and energy management of hybrid renewable energy system—A review Ammari, Chouaib; Belatrache, Djamel; Touhami, Batoul Energy and Built Environment, Vol. 3, Issue 4 https://doi.org/10.1016/j.enbenv.2021.04.002	journal	October 2022
Multi-stage robust transmission constrained unit commitment: A decomposition framework with implicit decision rules Li, Xuan; Zhai, Qiaozhu International Journal of Electrical Power & Energy Systems, Vol. 108 https://doi.org/10.1016/j.ijepes.2019.01.020	journal	June 2019
Two-stage optimal robust scheduling of hybrid energy system considering the demand response programs Daneshvar, Mohammadreza; Mohammadi-Ivatloo, Behnam; Zare, Kazem Journal of Cleaner Production, Vol. 248 https://doi.org/10.1016/j.jclepro.2019.119267	journal	March 2020
Solving two-stage robust optimization problems using a column-and-constraint generation method Zeng, Bo; Zhao, Long Operations Research Letters, Vol. 41, Issue 5 https://doi.org/10.1016/j.orl.2013.05.003	journal	September 2013
CVaR‐based generation expansion planning of cascaded hydro‐photovoltaic‐pumped storage system with uncertain solar power considering flexibility constraints Du, Mingkun; Huang, Yuan; Liu, Junyong IET Generation, Transmission & Distribution, Vol. 15, Issue 21 https://doi.org/10.1049/gtd2.12232	journal	June 2021
Scenario reduction and scenario tree construction for power management problems Growe-Kuska, N.; Heitsch, H.; Romisch, W. 2003 IEEE Bologna Power Tech Conference Proceedings, https://doi.org/10.1109/PTC.2003.1304379	conference	January 2003
Two-Stage Robust Stochastic Model Scheduling for Transactive Energy Based Renewable Microgrids Daneshvar, Mohammadreza; Mohammadi-Ivatloo, Behnam; Zare, Kazem IEEE Transactions on Industrial Informatics, Vol. 16, Issue 11 https://doi.org/10.1109/TII.2020.2973740	journal	November 2020
Self-scheduling of a hydro producer in a pool-based electricity market Conejo, A. J.; Arroyo, J. M.; Contreras, J. IEEE Transactions on Power Systems, Vol. 17, Issue 4 https://doi.org/10.1109/TPWRS.2002.804951	journal	November 2002
A Computationally Efficient Mixed-Integer Linear Formulation for the Thermal Unit Commitment Problem Carrion, M.; Arroyo, J. M. IEEE Transactions on Power Systems, Vol. 21, Issue 3 https://doi.org/10.1109/TPWRS.2006.876672	journal	August 2006
Adaptive Robust Optimization for the Security Constrained Unit Commitment Problem Bertsimas, Dimitris; Litvinov, Eugene; Sun, Xu Andy IEEE Transactions on Power Systems, Vol. 28, Issue 1 https://doi.org/10.1109/TPWRS.2012.2205021	journal	February 2013
Robust SCUC Considering Continuous/Discrete Uncertainties and Quick-Start Units: A Two-Stage Robust Optimization With Mixed-Integer Recourse Hu, Bingqian; Wu, Lei IEEE Transactions on Power Systems, Vol. 31, Issue 2 https://doi.org/10.1109/TPWRS.2015.2418158	journal	March 2016
Multistage Robust Unit Commitment With Dynamic Uncertainty Sets and Energy Storage Lorca, Alvaro; Sun, Xu Andy IEEE Transactions on Power Systems, Vol. 32, Issue 3 https://doi.org/10.1109/TPWRS.2016.2593422	journal	May 2017
Security Constrained Unit Commitment Using Line Outage Distribution Factors Tejada-Arango, Diego A.; Sanchez-Martin, Pedro; Ramos, Andres IEEE Transactions on Power Systems, Vol. 33, Issue 1 https://doi.org/10.1109/TPWRS.2017.2686701	journal	January 2018
An Extended IEEE 118-Bus Test System With High Renewable Penetration Pena, Ivonne; Martinez-Anido, Carlo Brancucci; Hodge, Bri-Mathias IEEE Transactions on Power Systems, Vol. 33, Issue 1 https://doi.org/10.1109/TPWRS.2017.2695963	journal	January 2018
Enhancing the Flexibility of Storage Integrated Power System by Multi-Stage Robust Dispatch Shi, Yunhui; Dong, Shufeng; Guo, Chuangxin IEEE Transactions on Power Systems, Vol. 36, Issue 3 https://doi.org/10.1109/TPWRS.2020.3031324	journal	May 2021
A Configuration Based Pumped Storage Hydro Model in the MISO Day-Ahead Market Huang, Bing; Chen, Yonghong; Baldick, Ross IEEE Transactions on Power Systems, Vol. 37, Issue 1 https://doi.org/10.1109/TPWRS.2021.3097270	journal	January 2022
Robustly Coordinated Operation of a Multi-Energy Microgrid With Flexible Electric and Thermal Loads Zhang, Cuo; Xu, Yan; Li, Zhengmao IEEE Transactions on Smart Grid, Vol. 10, Issue 3 https://doi.org/10.1109/TSG.2018.2810247	journal	May 2019
Multi-Stage Real-Time Operation of a Multi-Energy Microgrid With Electrical and Thermal Energy Storage Assets: A Data-Driven MPC-ADP Approach Li, Zhengmao; Wu, Lei; Xu, Yan IEEE Transactions on Smart Grid, Vol. 13, Issue 1 https://doi.org/10.1109/TSG.2021.3119972	journal	January 2022
Two-Stage Robust Unit Commitment for Co-Optimized Electricity Markets: An Adaptive Data-Driven Approach for Scenario-Based Uncertainty Sets Velloso, Alexandre; Street, Alexandre; Pozo, David IEEE Transactions on Sustainable Energy, Vol. 11, Issue 2 https://doi.org/10.1109/TSTE.2019.2915049	journal	April 2020
Multistage Robust Look-Ahead Unit Commitment with Probabilistic Forecasting in Multi-Carrier Energy Systems Zhou, Yizhou; Shahidehpour, Mohammad; Wei, Zhinong IEEE Transactions on Sustainable Energy, Vol. 12, Issue 1, p. 70-82 https://doi.org/10.1109/TSTE.2020.2979925	journal	March 2020
Multistage Adaptive Robust Optimization for the Unit Commitment Problem Lorca, Álvaro; Sun, X. Andy; Litvinov, Eugene Operations Research, Vol. 64, Issue 1 https://doi.org/10.1287/opre.2015.1456	journal	February 2016

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