IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v12y2019i5p833-d210522.html
   My bibliography  Save this article

An Improved Mixed Integer Linear Programming Approach Based on Symmetry Diminishing for Unit Commitment of Hybrid Power System

Author

Listed:
  • Bo Fu

    (School of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan 430068, China)

  • Chenxi Ouyang

    (School of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan 430068, China)

  • Chaoshun Li

    (School of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

  • Jinwen Wang

    (School of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

  • Eid Gul

    (China-EU Institute for Clean and Renewable Energy, Huazhong University of Science and Technology, Wuhan 430074, China)

Abstract

In this paper, the mixed integer linear programming (MILP) for solving unit commitment (UC) problems in a hybrid power system containing thermal, hydro, and wind power have been studied. To promote its efficiency, an improved MILP approach has been proposed, while the symmetric problem in MILP formulas has been solved by reforming hierarchical constraints. Experiments on different scales have been conducted to demonstrate the effectiveness of the proposed approach. The results indicate a dramatic efficiency promotion compared to other popular MILP approaches in large scale power systems. Additionally, the proposed approach has been applied in UC problems of the hybrid power system. Two indexes, fluctuation degree and output degree, have been proposed to investigate the performance of renewable energy sources (RES). Several experiments are also implemented and the results show that the integration of pumped hydroelectric energy storage (PHES) can decrease the output of thermal units, as well as balance wind power fluctuation according to the load demand.

Suggested Citation

  • Bo Fu & Chenxi Ouyang & Chaoshun Li & Jinwen Wang & Eid Gul, 2019. "An Improved Mixed Integer Linear Programming Approach Based on Symmetry Diminishing for Unit Commitment of Hybrid Power System," Energies, MDPI, vol. 12(5), pages 1-14, March.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:5:p:833-:d:210522
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/12/5/833/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/12/5/833/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ma, Tao & Yang, Hongxing & Lu, Lin & Peng, Jinqing, 2014. "Technical feasibility study on a standalone hybrid solar-wind system with pumped hydro storage for a remote island in Hong Kong," Renewable Energy, Elsevier, vol. 69(C), pages 7-15.
    2. Li, Chaoshun & Wang, Wenxiao & Chen, Deshu, 2019. "Multi-objective complementary scheduling of hydro-thermal-RE power system via a multi-objective hybrid grey wolf optimizer," Energy, Elsevier, vol. 171(C), pages 241-255.
    3. Wang, Wenxiao & Li, Chaoshun & Liao, Xiang & Qin, Hui, 2017. "Study on unit commitment problem considering pumped storage and renewable energy via a novel binary artificial sheep algorithm," Applied Energy, Elsevier, vol. 187(C), pages 612-626.
    4. Zanbin Wang & Chaoshun Li & Xinjie Lai & Nan Zhang & Yanhe Xu & Jinjiao Hou, 2018. "An Integrated Start-Up Method for Pumped Storage Units Based on a Novel Artificial Sheep Algorithm," Energies, MDPI, vol. 11(1), pages 1-29, January.
    5. Hanif D. Sherali & J. Cole Smith, 2001. "Improving Discrete Model Representations via Symmetry Considerations," Management Science, INFORMS, vol. 47(10), pages 1396-1407, October.
    6. Luo, Xing & Wang, Jihong & Dooner, Mark & Clarke, Jonathan, 2015. "Overview of current development in electrical energy storage technologies and the application potential in power system operation," Applied Energy, Elsevier, vol. 137(C), pages 511-536.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nikolaidis, Pavlos & Poullikkas, Andreas, 2021. "A novel cluster-based spinning reserve dynamic model for wind and PV power reinforcement," Energy, Elsevier, vol. 234(C).
    2. Zhe Lv & Zengping Wang & Wanyu Xu, 2019. "A Techno-Economic Study of 100% Renewable Energy for a Residential Household in China," Energies, MDPI, vol. 12(11), pages 1-17, June.
    3. P. M. R. Bento & S. J. P. S. Mariano & M. R. A. Calado & L. A. F. M. Ferreira, 2020. "A Novel Lagrangian Multiplier Update Algorithm for Short-Term Hydro-Thermal Coordination," Energies, MDPI, vol. 13(24), pages 1-19, December.
    4. Zhang, Changbing & Cao, Wenzhe & Xie, Tingting & Wang, Chongxun & Shen, Chunhe & Wen, Xiankui & Mao, Cheng, 2022. "Operational characteristics and optimization of Hydro-PV power hybrid electricity system," Renewable Energy, Elsevier, vol. 200(C), pages 601-613.
    5. Hao Ma & Jian Pan & Lei Lv & Guanghui Xu & Feng Ding & Ahmed Alsaedi & Tasawar Hayat, 2019. "Recursive Algorithms for Multivariable Output-Error-Like ARMA Systems," Mathematics, MDPI, vol. 7(6), pages 1-18, June.
    6. Chim Pui Leung & Ka Wai Eric Cheng, 2021. "Design, Analysis and Implementation of the Tapped-Inductor Boost Current Converter on Current Based System," Energies, MDPI, vol. 14(4), pages 1-21, February.
    7. Zhengwei Shen & Yong Tang & Jun Yi & Changsheng Chen & Bing Zhao & Guangru Zhang, 2019. "Corrective Control by Line Switching for Relieving Voltage Violations Based on A Three-Stage Methodology," Energies, MDPI, vol. 12(7), pages 1-15, March.
    8. Jun-Mo Kim & Jeong Lee & Jin-Wook Kim & Junsin Yi & Chung-Yuen Won, 2021. "Power Conversion System Operation to Reduce the Electricity Purchasing Cost of Energy Storage Systems," Energies, MDPI, vol. 14(16), pages 1-20, August.
    9. Lijuan Wan & Ximei Liu & Feng Ding & Chunping Chen, 2019. "Decomposition Least-Squares-Based Iterative Identification Algorithms for Multivariable Equation-Error Autoregressive Moving Average Systems," Mathematics, MDPI, vol. 7(7), pages 1-20, July.
    10. Feng Ding & Jian Pan & Ahmed Alsaedi & Tasawar Hayat, 2019. "Gradient-Based Iterative Parameter Estimation Algorithms for Dynamical Systems from Observation Data," Mathematics, MDPI, vol. 7(5), pages 1-15, May.
    11. Rajitha Udawalpola & Taisuke Masuta & Taisei Yoshioka & Kohei Takahashi & Hideaki Ohtake, 2021. "Reduction of Power Imbalances Using Battery Energy Storage System in a Bulk Power System with Extremely Large Photovoltaics Interactions," Energies, MDPI, vol. 14(3), pages 1-27, January.
    12. Hassan Shokouhandeh & Mehrdad Ahmadi Kamarposhti & Ilhami Colak & Kei Eguchi, 2021. "Unit Commitment for Power Generation Systems Based on Prices in Smart Grid Environment Considering Uncertainty," Sustainability, MDPI, vol. 13(18), pages 1-13, September.
    13. Hassan Khan & Adnan Khan & Maysaa Al-Qurashi & Rasool Shah & Dumitru Baleanu, 2020. "Modified Modelling for Heat Like Equations within Caputo Operator," Energies, MDPI, vol. 13(8), pages 1-14, April.
    14. L. Alvarado-Barrios & A. Rodríguez del Nozal & A. Tapia & J. L. Martínez-Ramos & D. G. Reina, 2019. "An Evolutionary Computational Approach for the Problem of Unit Commitment and Economic Dispatch in Microgrids under Several Operation Modes," Energies, MDPI, vol. 12(11), pages 1-23, June.
    15. Manzano, J.M. & Salvador, J.R. & Romaine, J.B. & Alvarado-Barrios, L., 2022. "Economic predictive control for isolated microgrids based on real world demand/renewable energy data and forecast errors," Renewable Energy, Elsevier, vol. 194(C), pages 647-658.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mousavi, Navid & Kothapalli, Ganesh & Habibi, Daryoush & Khiadani, Mehdi & Das, Choton K., 2019. "An improved mathematical model for a pumped hydro storage system considering electrical, mechanical, and hydraulic losses," Applied Energy, Elsevier, vol. 247(C), pages 228-236.
    2. Solomon, A.A. & Kammen, Daniel M. & Callaway, D., 2016. "Investigating the impact of wind–solar complementarities on energy storage requirement and the corresponding supply reliability criteria," Applied Energy, Elsevier, vol. 168(C), pages 130-145.
    3. Li, Chaoshun & Wang, Wenxiao & Chen, Deshu, 2019. "Multi-objective complementary scheduling of hydro-thermal-RE power system via a multi-objective hybrid grey wolf optimizer," Energy, Elsevier, vol. 171(C), pages 241-255.
    4. Chu Zhang & Chaoshun Li & Tian Peng & Xin Xia & Xiaoming Xue & Wenlong Fu & Jianzhong Zhou, 2018. "Modeling and Synchronous Optimization of Pump Turbine Governing System Using Sparse Robust Least Squares Support Vector Machine and Hybrid Backtracking Search Algorithm," Energies, MDPI, vol. 11(11), pages 1-21, November.
    5. Tan Ding & Li Chang & Chaoshun Li & Chen Feng & Nan Zhang, 2018. "A Mixed-Strategy-Based Whale Optimization Algorithm for Parameter Identification of Hydraulic Turbine Governing Systems with a Delayed Water Hammer Effect," Energies, MDPI, vol. 11(9), pages 1-29, September.
    6. Lai, Xinjie & Li, Chaoshun & Zhou, Jianzhong & Zhang, Nan, 2019. "Multi-objective optimization of the closure law of guide vanes for pumped storage units," Renewable Energy, Elsevier, vol. 139(C), pages 302-312.
    7. Chu Zhang & Tian Peng & Chaoshun Li & Wenlong Fu & Xin Xia & Xiaoming Xue, 2019. "Multiobjective Optimization of a Fractional-Order PID Controller for Pumped Turbine Governing System Using an Improved NSGA-III Algorithm under Multiworking Conditions," Complexity, Hindawi, vol. 2019, pages 1-18, February.
    8. Javed, Muhammad Shahzad & Zhong, Dan & Ma, Tao & Song, Aotian & Ahmed, Salman, 2020. "Hybrid pumped hydro and battery storage for renewable energy based power supply system," Applied Energy, Elsevier, vol. 257(C).
    9. Daneshvar, Mohammadreza & Mohammadi-Ivatloo, Behnam & Zare, Kazem & Asadi, Somayeh, 2020. "Two-stage stochastic programming model for optimal scheduling of the wind-thermal-hydropower-pumped storage system considering the flexibility assessment," Energy, Elsevier, vol. 193(C).
    10. Mensah, Johnson Herlich Roslee & Santos, Ivan Felipe Silva dos & Raimundo, Danielle Rodrigues & Costa de Oliveira Botan, Maria Cláudia & Barros, Regina Mambeli & Tiago Filho, Geraldo Lucio, 2022. "Energy and economic study of using Pumped Hydropower Storage with renewable resources to recover the Furnas reservoir," Renewable Energy, Elsevier, vol. 199(C), pages 320-334.
    11. Javed, Muhammad Shahzad & Ma, Tao & Jurasz, Jakub & Canales, Fausto A. & Lin, Shaoquan & Ahmed, Salman & Zhang, Yijie, 2021. "Economic analysis and optimization of a renewable energy based power supply system with different energy storages for a remote island," Renewable Energy, Elsevier, vol. 164(C), pages 1376-1394.
    12. Li, Chaoshun & Tang, Geng & Xue, Xiaoming & Chen, Xinbiao & Wang, Ruoheng & Zhang, Chu, 2020. "The short-term interval prediction of wind power using the deep learning model with gradient descend optimization," Renewable Energy, Elsevier, vol. 155(C), pages 197-211.
    13. Javed, Muhammad Shahzad & Ma, Tao & Jurasz, Jakub & Amin, Muhammad Yasir, 2020. "Solar and wind power generation systems with pumped hydro storage: Review and future perspectives," Renewable Energy, Elsevier, vol. 148(C), pages 176-192.
    14. Dong, Jizhe & Li, Yuanhan & Zuo, Shi & Wu, Xiaomei & Zhang, Zuyao & Du, Jiang, 2023. "An intraperiod arbitrary ramping-rate changing model in unit commitment," Energy, Elsevier, vol. 284(C).
    15. Nasser Yimen & Oumarou Hamandjoda & Lucien Meva’a & Benoit Ndzana & Jean Nganhou, 2018. "Analyzing of a Photovoltaic/Wind/Biogas/Pumped-Hydro Off-Grid Hybrid System for Rural Electrification in Sub-Saharan Africa—Case Study of Djoundé in Northern Cameroon," Energies, MDPI, vol. 11(10), pages 1-30, October.
    16. Linjun Shi & Fan Yang & Yang Li & Tao Zheng & Feng Wu & Kwang Y. Lee, 2022. "Optimal Configuration of Electrochemical Energy Storage for Renewable Energy Accommodation Based on Operation Strategy of Pumped Storage Hydro," Sustainability, MDPI, vol. 14(15), pages 1-20, August.
    17. Zanbin Wang & Chaoshun Li & Xinjie Lai & Nan Zhang & Yanhe Xu & Jinjiao Hou, 2018. "An Integrated Start-Up Method for Pumped Storage Units Based on a Novel Artificial Sheep Algorithm," Energies, MDPI, vol. 11(1), pages 1-29, January.
    18. Lai, Xinjie & Li, Chaoshun & Zhou, Jianzhong & Zhang, Yongchuan & Li, Yonggang, 2020. "A multi-objective optimization strategy for the optimal control scheme of pumped hydropower systems under successive load rejections," Applied Energy, Elsevier, vol. 261(C).
    19. Li, Chaoshun & Wang, Wenxiao & Wang, Jinwen & Chen, Deshu, 2019. "Network-constrained unit commitment with RE uncertainty and PHES by using a binary artificial sheep algorithm," Energy, Elsevier, vol. 189(C).
    20. Shabani, Masoume & Dahlquist, Erik & Wallin, Fredrik & Yan, Jinyue, 2020. "Techno-economic comparison of optimal design of renewable-battery storage and renewable micro pumped hydro storage power supply systems: A case study in Sweden," Applied Energy, Elsevier, vol. 279(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:12:y:2019:i:5:p:833-:d:210522. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.