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A Mathematical Model for the Optimization of Renewable Energy Systems

Author

Listed:
  • Mariam Gómez Sánchez

    (Departamento de Ingeniería Informática, Universidad Técnica Federico Santa María, Av. España 1680, Valparaíso 2390123, Chile
    These authors contributed equally to this work.)

  • Yunesky Masip Macia

    (Escuela de Ingeniería Mecánica, Pontificia Universidad Católica de Valparaíso, Valparaíso 2340025, Chile
    These authors contributed equally to this work.)

  • Alejandro Fernández Gil

    (Departamento de Ingeniería Informática, Universidad Técnica Federico Santa María, Av. España 1680, Valparaíso 2390123, Chile
    These authors contributed equally to this work.)

  • Carlos Castro

    (Departamento de Ingeniería Informática, Universidad Técnica Federico Santa María, Av. España 1680, Valparaíso 2390123, Chile
    These authors contributed equally to this work.)

  • Suleivys M. Nuñez González

    (Programa de Doctorado en Biotecnología, Pontificia Universidad Católica de Valparaíso, Valparaíso 2340025, Chile
    Programa de Doctorado en Biotecnología, Universidad Técnica Federico Santa María, Valparaíso 2340025, Chile
    These authors contributed equally to this work.)

  • Jacqueline Pedrera Yanes

    (Thermal Sciences and Fluids Department, Federal University of São João del-Rei, São João del-Rei-Minas Gerais 36307-352, Brazil
    These authors contributed equally to this work.)

Abstract

The generation of energy from renewable sources is a fundamental aspect for the sustainable development of society, and several energy sources such as solar, biomass, biogas, and wind must be used to the maximum to meet existing needs. In Chile, there are villages that are off-grid. A real case study is presented in this research. To meet the needs of this village we have proposed a mathematical optimization model using a CPLEX optimizer to generate the necessary energy power while minimizing the cost of energy ( COE ). In this study, different scenarios have been evaluated with respect to the existing energy availabilities, for example, in different periods of the year, demonstrated in terms of economic costs, the viability of resources such as biomass and biogas, and the viability of the energy production of wind power given the associated high costs. Finally, the effect of the use of renewable energy in consideration of CO 2 emissions is studied in our research.

Suggested Citation

  • Mariam Gómez Sánchez & Yunesky Masip Macia & Alejandro Fernández Gil & Carlos Castro & Suleivys M. Nuñez González & Jacqueline Pedrera Yanes, 2020. "A Mathematical Model for the Optimization of Renewable Energy Systems," Mathematics, MDPI, vol. 9(1), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2020:i:1:p:39-:d:468716
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    References listed on IDEAS

    as
    1. Rullo, P. & Braccia, L. & Luppi, P. & Zumoffen, D. & Feroldi, D., 2019. "Integration of sizing and energy management based on economic predictive control for standalone hybrid renewable energy systems," Renewable Energy, Elsevier, vol. 140(C), pages 436-451.
    2. Rajanna, S. & Saini, R.P., 2016. "Modeling of integrated renewable energy system for electrification of a remote area in India," Renewable Energy, Elsevier, vol. 90(C), pages 175-187.
    3. Murthy, K.S.R. & Rahi, O.P., 2016. "Preliminary assessment of wind power potential over the coastal region of Bheemunipatnam in northern Andhra Pradesh, India," Renewable Energy, Elsevier, vol. 99(C), pages 1137-1145.
    4. Hui Huang & Shilin Nie & Jin Lin & Yuanyuan Wang & Jun Dong, 2020. "Optimization of Peer-to-Peer Power Trading in a Microgrid with Distributed PV and Battery Energy Storage Systems," Sustainability, MDPI, vol. 12(3), pages 1-20, January.
    5. Alberto-Jesus Perea-Moreno & Francisco Manzano-Agugliaro, 2020. "Energy Saving at Cities," Energies, MDPI, vol. 13(15), pages 1-3, July.
    6. Katheryn Donado & Loraine Navarro & Christian G. Quintero M. & Mauricio Pardo, 2019. "HYRES: A Multi-Objective Optimization Tool for Proper Configuration of Renewable Hybrid Energy Systems," Energies, MDPI, vol. 13(1), pages 1-20, December.
    7. Akella, A.K. & Sharma, M.P. & Saini, R.P., 2007. "Optimum utilization of renewable energy sources in a remote area," Renewable and Sustainable Energy Reviews, Elsevier, vol. 11(5), pages 894-908, June.
    8. Hamilton, James & Negnevitsky, Michael & Wang, Xiaolin & Lyden, Sarah, 2019. "High penetration renewable generation within Australian isolated and remote power systems," Energy, Elsevier, vol. 168(C), pages 684-692.
    9. He, Xian & Keyaerts, Nico & Azevedo, Isabel & Meeus, Leonardo & Hancher, Leigh & Glachant, Jean-Michel, 2013. "How to engage consumers in demand response: A contract perspective," Utilities Policy, Elsevier, vol. 27(C), pages 108-122.
    10. Omar Farrok & Koushik Ahmed & Abdirazak Dahir Tahlil & Mohamud Mohamed Farah & Mahbubur Rahman Kiran & Md. Rabiul Islam, 2020. "Electrical Power Generation from the Oceanic Wave for Sustainable Advancement in Renewable Energy Technologies," Sustainability, MDPI, vol. 12(6), pages 1-23, March.
    11. Zeel Maheshwari & Rama Ramakumar, 2017. "Smart Integrated Renewable Energy Systems (SIRES): A Novel Approach for Sustainable Development," Energies, MDPI, vol. 10(8), pages 1-22, August.
    12. Dehwah, Ammar H.A. & Asif, Muhammad, 2019. "Assessment of net energy contribution to buildings by rooftop photovoltaic systems in hot-humid climates," Renewable Energy, Elsevier, vol. 131(C), pages 1288-1299.
    13. Chia-Chi Chang & Manh Van Do & Wei-Li Hsu & Bo-Liang Liu & Ching-Yuan Chang & Yi-Hung Chen & Min-Hao Yuan & Cheng-Fang Lin & Chang-Ping Yu & Yen-Hau Chen & Je-Lueng Shie & Wan-Yi Wu & Chien-Hsien Lee , 2019. "A Case Study on the Electricity Generation Using a Micro Gas Turbine Fuelled by Biogas from a Sewage Treatment Plant," Energies, MDPI, vol. 12(12), pages 1-15, June.
    14. Yunesky Masip & Anibal Gutierrez & Joel Morales & Antonio Campo & Meyli Valín, 2019. "Integrated Renewable Energy System Based on IREOM Model and Spatial–Temporal Series for Isolated Rural Areas in the Region of Valparaiso, Chile," Energies, MDPI, vol. 12(6), pages 1-19, March.
    15. Heksi Lestari & Maarten Arentsen & Hans Bressers & Budhi Gunawan & Johan Iskandar & Parikesit, 2018. "Sustainability of Renewable Off-Grid Technology for Rural Electrification: A Comparative Study Using the IAD Framework," Sustainability, MDPI, vol. 10(12), pages 1-17, November.
    16. Murthy, K.S.R. & Rahi, O.P., 2017. "A comprehensive review of wind resource assessment," Renewable and Sustainable Energy Reviews, Elsevier, vol. 72(C), pages 1320-1342.
    17. Sawle, Yashwant & Gupta, S.C. & Bohre, Aashish Kumar, 2018. "Review of hybrid renewable energy systems with comparative analysis of off-grid hybrid system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 81(P2), pages 2217-2235.
    18. Kanase-Patil, A.B. & Saini, R.P. & Sharma, M.P., 2011. "Sizing of integrated renewable energy system based on load profiles and reliability index for the state of Uttarakhand in India," Renewable Energy, Elsevier, vol. 36(11), pages 2809-2821.
    19. Diemuodeke, E.O. & Addo, A. & Oko, C.O.C. & Mulugetta, Y. & Ojapah, M.M., 2019. "Optimal mapping of hybrid renewable energy systems for locations using multi-criteria decision-making algorithm," Renewable Energy, Elsevier, vol. 134(C), pages 461-477.
    20. Emanuele Ogliari & Francesco Grimaccia & Sonia Leva & Marco Mussetta, 2013. "Hybrid Predictive Models for Accurate Forecasting in PV Systems," Energies, MDPI, vol. 6(4), pages 1-12, April.
    21. Olusola Bamisile & Qi Huang & Paul O. K. Anane & Mustafa Dagbasi, 2019. "Performance Analyses of a Renewable Energy Powered System for Trigeneration," Sustainability, MDPI, vol. 11(21), pages 1-15, October.
    22. Olubayo M. Babatunde & Josiah L. Munda & Yskandar Hamam, 2019. "Selection of a Hybrid Renewable Energy Systems for a Low-Income Household," Sustainability, MDPI, vol. 11(16), pages 1-24, August.
    23. Joseph Kiesecker & Sharon Baruch-Mordo & Mike Heiner & Dhaval Negandhi & James Oakleaf & Christina Kennedy & Pareexit Chauhan, 2019. "Renewable Energy and Land Use in India: A Vision to Facilitate Sustainable Development," Sustainability, MDPI, vol. 12(1), pages 1-14, December.
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