IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v13y2020i23p6375-d455082.html
   My bibliography  Save this article

Marginal Uncertainty Cost Functions for Solar Photovoltaic, Wind Energy, Hydro Generators, and Plug-In Electric Vehicles

Author

Listed:
  • Elkin D. Reyes

    (Electrical and Electronic Engineering, Universidad Nacional de Colombia, Sede Bogotá, Bogotá 111321, Colombia)

  • Arturo S. Bretas

    (Electrical and Computer Engineering Department, University of Florida, Gainesville, FL 32611, USA)

  • Sergio Rivera

    (Electrical and Electronic Engineering, Universidad Nacional de Colombia, Sede Bogotá, Bogotá 111321, Colombia)

Abstract

The high penetration of renewable sources of energy in electrical power systems implies an increase in the uncertainty variables of the economic dispatch (ED). Uncertainty costs are a metric to quantify the variability introduced from renewable energy generation, that is to say: wind energy generation (WEG), run-of-the-river hydro generators (RHG), and solar photovoltaic generation (PVG). On other side, there are associated uncertainties to the charge/uncharge of plug-in electric vehicles (PEV). Thus, in this paper, the uncertainty cost functions (UCF) and their marginal expressions as a way of modeling and assessment of stochasticity in power systems with high penetration of smart grids elements is presented. In this work, a mathematical analysis is presented using the first and second derivatives of the UCF, where the marginal uncertainty cost functions (MUCF) and the UCF’s minimums for PVG, WEG, PEV, and RHG are derived. Further, a model validation is presented, considering comparative test results from the state of the art of the UCF minimum, developed in a previous study, to the minimum reached with the presented (MUCF) solution.

Suggested Citation

  • Elkin D. Reyes & Arturo S. Bretas & Sergio Rivera, 2020. "Marginal Uncertainty Cost Functions for Solar Photovoltaic, Wind Energy, Hydro Generators, and Plug-In Electric Vehicles," Energies, MDPI, vol. 13(23), pages 1-20, December.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:23:p:6375-:d:455082
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/13/23/6375/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/13/23/6375/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hernández, J.C. & Ruiz-Rodriguez, F.J. & Jurado, F., 2017. "Modelling and assessment of the combined technical impact of electric vehicles and photovoltaic generation in radial distribution systems," Energy, Elsevier, vol. 141(C), pages 316-332.
    2. Montanari, R., 2003. "Criteria for the economic planning of a low power hydroelectric plant," Renewable Energy, Elsevier, vol. 28(13), pages 2129-2145.
    3. Cabus, Pieter, 2008. "River flow prediction through rainfall-runoff modelling with a probability-distributed model (PDM) in Flanders, Belgium," Agricultural Water Management, Elsevier, vol. 95(7), pages 859-868, July.
    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. Janicke, Lauren & Nock, Destenie & Surana, Kavita & Jordaan, Sarah M., 2023. "Air pollution co-benefits from strengthening electric transmission and distribution systems," Energy, Elsevier, vol. 269(C).
    2. Tang, Daogui & Fang, Yi-Ping & Zio, Enrico, 2023. "Vulnerability analysis of demand-response with renewable energy integration in smart grids to cyber attacks and online detection methods," Reliability Engineering and System Safety, Elsevier, vol. 235(C).

    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. Daniel Losada & Ameena Al-Sumaiti & Sergio Rivera, 2021. "Uncertainty Cost Functions in Climate-Dependent Controllable Loads in Commercial Environments," Energies, MDPI, vol. 14(10), pages 1-22, May.
    2. Paulo M. De Oliveira-De Jesus & Mario A. Rios & Gustavo A. Ramos, 2018. "Energy Loss Allocation in Smart Distribution Systems with Electric Vehicle Integration," Energies, MDPI, vol. 11(8), pages 1-19, July.
    3. Yi, Tao & Cheng, Xiaobin & Chen, Yaxuan & Liu, Jinpeng, 2020. "Joint optimization of charging station and energy storage economic capacity based on the effect of alternative energy storage of electric vehicle," Energy, Elsevier, vol. 208(C).
    4. Manzano-Agugliaro, Francisco & Taher, Myriam & Zapata-Sierra, Antonio & Juaidi, Adel & Montoya, Francisco G., 2017. "An overview of research and energy evolution for small hydropower in Europe," Renewable and Sustainable Energy Reviews, Elsevier, vol. 75(C), pages 476-489.
    5. Rémy Cleenwerck & Hakim Azaioud & Majid Vafaeipour & Thierry Coosemans & Jan Desmet, 2023. "Impact Assessment of Electric Vehicle Charging in an AC and DC Microgrid: A Comparative Study," Energies, MDPI, vol. 16(7), pages 1-17, April.
    6. Breen, M. & Upton, J. & Murphy, M.D., 2020. "Photovoltaic systems on dairy farms: Financial and renewable multi-objective optimization (FARMOO) analysis," Applied Energy, Elsevier, vol. 278(C).
    7. Mishra, Sachin & Singal, S.K. & Khatod, D.K., 2011. "Optimal installation of small hydropower plant—A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(8), pages 3862-3869.
    8. Kiattisak Sakulphan & Erik L. J. Bohez, 2018. "A New Optimal Selection Method with Seasonal Flow and Irrigation Variability for Hydro Turbine Type and Size," Energies, MDPI, vol. 11(11), pages 1-16, November.
    9. Ching-Ming Lai & Jiashen Teh & Yuan-Chih Lin & Yitao Liu, 2020. "Study of a Bidirectional Power Converter Integrated with Battery/Ultracapacitor Dual-Energy Storage," Energies, MDPI, vol. 13(5), pages 1-23, March.
    10. Zhang, Lihui & Zhao, Zhenli & Yang, Meng & Li, Songrui, 2020. "A multi-criteria decision method for performance evaluation of public charging service quality," Energy, Elsevier, vol. 195(C).
    11. Gong, Yu & Liu, Pan & Liu, Yini & Huang, Kangdi, 2021. "Robust operation interval of a large-scale hydro-photovoltaic power system to cope with emergencies," Applied Energy, Elsevier, vol. 290(C).
    12. Teegala Srinivasa Kishore & Epari Ritesh Patro & V. S. K. V. Harish & Ali Torabi Haghighi, 2021. "A Comprehensive Study on the Recent Progress and Trends in Development of Small Hydropower Projects," Energies, MDPI, vol. 14(10), pages 1-31, May.
    13. Ziqiang Zhou & Fei Tang & Dichen Liu & Chenxu Wang & Xin Gao, 2020. "Probabilistic Assessment of Distribution Network with High Penetration of Distributed Generators," Sustainability, MDPI, vol. 12(5), pages 1-20, February.
    14. Kegang Zhao & Jinghao Bei & Yanwei Liu & Zhihao Liang, 2019. "Development of Global Optimization Algorithm for Series-Parallel PHEV Energy Management Strategy Based on Radau Pseudospectral Knotting Method," Energies, MDPI, vol. 12(17), pages 1-23, August.
    15. Yan Hong & Ding Wang & Jingming Su & Maowei Ren & Wanqiu Xu & Yuhao Wei & Zhen Yang, 2023. "Short-Term Power Load Forecasting in Three Stages Based on CEEMDAN-TGA Model," Sustainability, MDPI, vol. 15(14), pages 1-28, July.
    16. Prashant Srivastava & Dawei Han & Miguel Rico-Ramirez & Deleen Al-Shrafany & Tanvir Islam, 2013. "Data Fusion Techniques for Improving Soil Moisture Deficit Using SMOS Satellite and WRF-NOAH Land Surface Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(15), pages 5069-5087, December.
    17. Gomez-Gonzalez, M. & Hernandez, J.C. & Vera, D. & Jurado, F., 2020. "Optimal sizing and power schedule in PV household-prosumers for improving PV self-consumption and providing frequency containment reserve," Energy, Elsevier, vol. 191(C).
    18. Maeder, Mattia & Weiss, Olga & Boulouchos, Konstantinos, 2021. "Assessing the need for flexibility technologies in decarbonized power systems: A new model applied to Central Europe," Applied Energy, Elsevier, vol. 282(PA).
    19. Erbaş, Mehmet & Kabak, Mehmet & Özceylan, Eren & Çetinkaya, Cihan, 2018. "Optimal siting of electric vehicle charging stations: A GIS-based fuzzy Multi-Criteria Decision Analysis," Energy, Elsevier, vol. 163(C), pages 1017-1031.
    20. Jiang, Huaiguang & Zhang, Yingchen & Chen, Yuche & Zhao, Changhong & Tan, Jin, 2018. "Power-traffic coordinated operation for bi-peak shaving and bi-ramp smoothing – A hierarchical data-driven approach," Applied Energy, Elsevier, vol. 229(C), pages 756-766.

    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:13:y:2020:i:23:p:6375-:d:455082. 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.