IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v66y2014icp677-688.html
   My bibliography  Save this article

Chance constrained programming using non-Gaussian joint distribution function in design of standalone hybrid renewable energy systems

Author

Listed:
  • Kamjoo, Azadeh
  • Maheri, Alireza
  • Putrus, Ghanim A.

Abstract

Performance of a HRES (hybrid renewable energy system) is highly affected by changes in renewable resources and therefore interruptions of electricity supply may happen in such systems. In this paper, a method to determine the optimal size of HRES components is proposed, considering uncertainties in renewable resources. The method is based on CCP (chance-constrained programming) to handle the uncertainties in power produced by renewable resources. The design variables are wind turbine rotor swept area, PV (photovoltaic) panel area and number of batteries. The common approach in solving problems with CCP is based on assuming the uncertainties to follow Gaussian distribution. The analysis presented in this paper shows that this assumption may result in a conservative solution rather than an optimum. The analysis is based on comparing the results of the common approach with those obtained by using the proposed method. The performance of the proposed method in design of HRES is validated by using the Monte Carlo simulation approach. To obtain accurate results in Monte Carlo simulation, the wind speed and solar irradiance variations are modelled with known distributions as well as using time series analysis; and the best fit models are selected as the random generators in Monte Carlo simulation.

Suggested Citation

  • Kamjoo, Azadeh & Maheri, Alireza & Putrus, Ghanim A., 2014. "Chance constrained programming using non-Gaussian joint distribution function in design of standalone hybrid renewable energy systems," Energy, Elsevier, vol. 66(C), pages 677-688.
    • Handle: RePEc:eee:energy:v:66:y:2014:i:c:p:677-688
    DOI: 10.1016/j.energy.2014.01.027
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544214000346
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2014.01.027?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kalogirou, Soteris A. & Agathokleous, Rafaela & Panayiotou, Gregoris, 2013. "On-site PV characterization and the effect of soiling on their performance," Energy, Elsevier, vol. 51(C), pages 439-446.
    2. Kaabeche, A. & Belhamel, M. & Ibtiouen, R., 2011. "Sizing optimization of grid-independent hybrid photovoltaic/wind power generation system," Energy, Elsevier, vol. 36(2), pages 1214-1222.
    3. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    4. Senjyu, Tomonobu & Hayashi, Daisuke & Yona, Atsushi & Urasaki, Naomitsu & Funabashi, Toshihisa, 2007. "Optimal configuration of power generating systems in isolated island with renewable energy," Renewable Energy, Elsevier, vol. 32(11), pages 1917-1933.
    5. Nandi, Sanjoy Kumar & Ghosh, Himangshu Ranjan, 2010. "Prospect of wind–PV-battery hybrid power system as an alternative to grid extension in Bangladesh," Energy, Elsevier, vol. 35(7), pages 3040-3047.
    6. Mercure, Jean-François & Salas, Pablo, 2012. "An assessement of global energy resource economic potentials," Energy, Elsevier, vol. 46(1), pages 322-336.
    7. Lujano-Rojas, Juan M. & Dufo-López, Rodolfo & Bernal-Agustín, José L., 2012. "Optimal sizing of small wind/battery systems considering the DC bus voltage stability effect on energy capture, wind speed variability, and load uncertainty," Applied Energy, Elsevier, vol. 93(C), pages 404-412.
    8. Diaf, S. & Diaf, D. & Belhamel, M. & Haddadi, M. & Louche, A., 2007. "A methodology for optimal sizing of autonomous hybrid PV/wind system," Energy Policy, Elsevier, vol. 35(11), pages 5708-5718, November.
    9. Baños, R. & Manzano-Agugliaro, F. & Montoya, F.G. & Gil, C. & Alcayde, A. & Gómez, J., 2011. "Optimization methods applied to renewable and sustainable energy: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(4), pages 1753-1766, May.
    10. Garcia, Humberto E. & Mohanty, Amit & Lin, Wen-Chiao & Cherry, Robert S., 2013. "Dynamic analysis of hybrid energy systems under flexible operation and variable renewable generation – Part II: Dynamic cost analysis," Energy, Elsevier, vol. 52(C), pages 17-26.
    11. Maheri, Alireza, 2014. "Multi-objective design optimisation of standalone hybrid wind-PV-diesel systems under uncertainties," Renewable Energy, Elsevier, vol. 66(C), pages 650-661.
    12. Singh, G.K., 2013. "Solar power generation by PV (photovoltaic) technology: A review," Energy, Elsevier, vol. 53(C), pages 1-13.
    13. Global Energy Assessment Writing Team,, 2012. "Global Energy Assessment," Cambridge Books, Cambridge University Press, number 9781107005198, October.
    14. Ashok, S., 2007. "Optimised model for community-based hybrid energy system," Renewable Energy, Elsevier, vol. 32(7), pages 1155-1164.
    15. Li, Chong & Ge, Xinfeng & Zheng, Yuan & Xu, Chang & Ren, Yan & Song, Chenguang & Yang, Chunxia, 2013. "Techno-economic feasibility study of autonomous hybrid wind/PV/battery power system for a household in Urumqi, China," Energy, Elsevier, vol. 55(C), pages 263-272.
    16. Rajkumar, R.K. & Ramachandaramurthy, V.K. & Yong, B.L. & Chia, D.B., 2011. "Techno-economical optimization of hybrid pv/wind/battery system using Neuro-Fuzzy," Energy, Elsevier, vol. 36(8), pages 5148-5153.
    17. Kalantar, M. & Mousavi G., S.M., 2010. "Dynamic behavior of a stand-alone hybrid power generation system of wind turbine, microturbine, solar array and battery storage," Applied Energy, Elsevier, vol. 87(10), pages 3051-3064, October.
    18. Ekren, Banu Y. & Ekren, Orhan, 2009. "Simulation based size optimization of a PV/wind hybrid energy conversion system with battery storage under various load and auxiliary energy conditions," Applied Energy, Elsevier, vol. 86(9), pages 1387-1394, September.
    19. Greening, Benjamin & Azapagic, Adisa, 2013. "Environmental impacts of micro-wind turbines and their potential to contribute to UK climate change targets," Energy, Elsevier, vol. 59(C), pages 454-466.
    20. Global Energy Assessment Writing Team,, 2012. "Global Energy Assessment," Cambridge Books, Cambridge University Press, number 9780521182935, October.
    21. Garcia, Humberto E. & Mohanty, Amit & Lin, Wen-Chiao & Cherry, Robert S., 2013. "Dynamic analysis of hybrid energy systems under flexible operation and variable renewable generation – Part I: Dynamic performance analysis," Energy, Elsevier, vol. 52(C), pages 1-16.
    22. Himri, Y. & Boudghene Stambouli, A. & Draoui, B. & Himri, S., 2008. "Techno-economical study of hybrid power system for a remote village in Algeria," Energy, Elsevier, vol. 33(7), pages 1128-1136.
    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. Arasteh, Hamidreza & Sepasian, Mohammad Sadegh & Vahidinasab, Vahid, 2016. "An aggregated model for coordinated planning and reconfiguration of electric distribution networks," Energy, Elsevier, vol. 94(C), pages 786-798.
    2. He, Hongjing & Huang, Yongyi & Nakadomari, Akito & Masrur, Hasan & Krishnan, Narayanan & Hemeida, Ashraf M. & Mikhaylov, Alexey & Senjyu, Tomonobu, 2023. "Potential and economic viability of green hydrogen production from seawater electrolysis using renewable energy in remote Japanese islands," Renewable Energy, Elsevier, vol. 202(C), pages 1436-1447.
    3. Zhang, Shenxi & Cheng, Haozhong & Li, Ke & Tai, Nengling & Wang, Dan & Li, Furong, 2018. "Multi-objective distributed generation planning in distribution network considering correlations among uncertainties," Applied Energy, Elsevier, vol. 226(C), pages 743-755.
    4. Mikołaj Bartłomiejczyk, 2018. "Potential Application of Solar Energy Systems for Electrified Urban Transportation Systems," Energies, MDPI, vol. 11(4), pages 1-17, April.
    5. Alabi, Tobi Michael & Lu, Lin & Yang, Zaiyue, 2021. "Stochastic optimal planning scheme of a zero-carbon multi-energy system (ZC-MES) considering the uncertainties of individual energy demand and renewable resources: An integrated chance-constrained and," Energy, Elsevier, vol. 232(C).
    6. Yu, L. & Li, Y.P. & Huang, G.H. & Fan, Y.R. & Nie, S., 2018. "A copula-based flexible-stochastic programming method for planning regional energy system under multiple uncertainties: A case study of the urban agglomeration of Beijing and Tianjin," Applied Energy, Elsevier, vol. 210(C), pages 60-74.
    7. Guo, Li & Wang, Nan & Lu, Hai & Li, Xialin & Wang, Chengshan, 2016. "Multi-objective optimal planning of the stand-alone microgrid system based on different benefit subjects," Energy, Elsevier, vol. 116(P1), pages 353-363.
    8. Ying-Yi Hong & Gerard Francesco DG. Apolinario, 2021. "Uncertainty in Unit Commitment in Power Systems: A Review of Models, Methods, and Applications," Energies, MDPI, vol. 14(20), pages 1-47, October.
    9. Dufo-López, Rodolfo & Cristóbal-Monreal, Iván R. & Yusta, José M., 2016. "Stochastic-heuristic methodology for the optimisation of components and control variables of PV-wind-diesel-battery stand-alone systems," Renewable Energy, Elsevier, vol. 99(C), pages 919-935.
    10. Chen, Yizhong & He, Li & Li, Jing, 2017. "Stochastic dominant-subordinate-interactive scheduling optimization for interconnected microgrids with considering wind-photovoltaic-based distributed generations under uncertainty," Energy, Elsevier, vol. 130(C), pages 581-598.
    11. Homeyra Akter & Harun Or Rashid Howlader & Ahmed Y. Saber & Paras Mandal & Hiroshi Takahashi & Tomonobu Senjyu, 2021. "Optimal Sizing of Hybrid Microgrid in a Remote Island Considering Advanced Direct Load Control for Demand Response and Low Carbon Emission," Energies, MDPI, vol. 14(22), pages 1-19, November.
    12. Kia, M. & Shafiekhani, M. & Arasteh, H. & Hashemi, S.M. & Shafie-khah, M. & Catalão, J.P.S., 2020. "Short-term operation of microgrids with thermal and electrical loads under different uncertainties using information gap decision theory," Energy, Elsevier, vol. 208(C).
    13. Nomaguchi, Yutaka & Tanaka, Hiroki & Sakakibara, Akiyuki & Fujita, Kikuo & Kishita, Yusuke & Hara, Keishiro & Uwasu, Michinori, 2017. "Integrated planning of low-voltage power grids and subsidies toward a distributed generation system – Case study of the diffusion of photovoltaics in a Japanese dormitory town," Energy, Elsevier, vol. 140(P1), pages 779-793.

    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. Tezer, Tuba & Yaman, Ramazan & Yaman, Gülşen, 2017. "Evaluation of approaches used for optimization of stand-alone hybrid renewable energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 73(C), pages 840-853.
    2. Maleki, Akbar & Pourfayaz, Fathollah & Rosen, Marc A., 2016. "A novel framework for optimal design of hybrid renewable energy-based autonomous energy systems: A case study for Namin, Iran," Energy, Elsevier, vol. 98(C), pages 168-180.
    3. William López-Castrillón & Héctor H. Sepúlveda & Cristian Mattar, 2021. "Off-Grid Hybrid Electrical Generation Systems in Remote Communities: Trends and Characteristics in Sustainability Solutions," Sustainability, MDPI, vol. 13(11), pages 1-29, May.
    4. Ranaboldo, Matteo & Ferrer-Martí, Laia & García-Villoria, Alberto & Pastor Moreno, Rafael, 2013. "Heuristic indicators for the design of community off-grid electrification systems based on multiple renewable energies," Energy, Elsevier, vol. 50(C), pages 501-512.
    5. Akikur, R.K. & Saidur, R. & Ping, H.W. & Ullah, K.R., 2013. "Comparative study of stand-alone and hybrid solar energy systems suitable for off-grid rural electrification: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 27(C), pages 738-752.
    6. Perera, A.T.D. & Attalage, R.A. & Perera, K.K.C.K. & Dassanayake, V.P.C., 2013. "Designing standalone hybrid energy systems minimizing initial investment, life cycle cost and pollutant emission," Energy, Elsevier, vol. 54(C), pages 220-230.
    7. Erdinc, O. & Uzunoglu, M., 2012. "Optimum design of hybrid renewable energy systems: Overview of different approaches," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(3), pages 1412-1425.
    8. Chen, Jun & Garcia, Humberto E., 2016. "Economic optimization of operations for hybrid energy systems under variable markets," Applied Energy, Elsevier, vol. 177(C), pages 11-24.
    9. Chen, Jun & Rabiti, Cristian, 2017. "Synthetic wind speed scenarios generation for probabilistic analysis of hybrid energy systems," Energy, Elsevier, vol. 120(C), pages 507-517.
    10. Siddaiah, Rajanna & Saini, R.P., 2016. "A review on planning, configurations, modeling and optimization techniques of hybrid renewable energy systems for off grid applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 58(C), pages 376-396.
    11. Li, Chong & Ge, Xinfeng & Zheng, Yuan & Xu, Chang & Ren, Yan & Song, Chenguang & Yang, Chunxia, 2013. "Techno-economic feasibility study of autonomous hybrid wind/PV/battery power system for a household in Urumqi, China," Energy, Elsevier, vol. 55(C), pages 263-272.
    12. Nadjemi, O. & Nacer, T. & Hamidat, A. & Salhi, H., 2017. "Optimal hybrid PV/wind energy system sizing: Application of cuckoo search algorithm for Algerian dairy farms," Renewable and Sustainable Energy Reviews, Elsevier, vol. 70(C), pages 1352-1365.
    13. Hiendro, Ayong & Kurnianto, Rudi & Rajagukguk, Managam & Simanjuntak, Yohannes M. & Junaidi,, 2013. "Techno-economic analysis of photovoltaic/wind hybrid system for onshore/remote area in Indonesia," Energy, Elsevier, vol. 59(C), pages 652-657.
    14. Jha, Sunil Kr. & Bilalovic, Jasmin & Jha, Anju & Patel, Nilesh & Zhang, Han, 2017. "Renewable energy: Present research and future scope of Artificial Intelligence," Renewable and Sustainable Energy Reviews, Elsevier, vol. 77(C), pages 297-317.
    15. Saheb Koussa, Djohra & Koussa, M. & Rennane, A. & Hadji, S. & Boufertella, A. & Balehouane, A. & Bellarbi, S., 2017. "Hybrid diesel-wind system with battery storage operating in standalone mode: Control and energy management – Experimental investigation," Energy, Elsevier, vol. 130(C), pages 38-47.
    16. Bruno Domenech & Laia Ferrer‐Martí & Rafael Pastor, 2019. "Comparison of various approaches to design wind‐PV rural electrification projects in remote areas of developing countries," Wiley Interdisciplinary Reviews: Energy and Environment, Wiley Blackwell, vol. 8(3), May.
    17. Dufo-López, Rodolfo & Lujano-Rojas, Juan M. & Bernal-Agustín, José L., 2014. "Comparison of different lead–acid battery lifetime prediction models for use in simulation of stand-alone photovoltaic systems," Applied Energy, Elsevier, vol. 115(C), pages 242-253.
    18. Ramli, Makbul A.M. & Hiendro, Ayong & Al-Turki, Yusuf A., 2016. "Techno-economic energy analysis of wind/solar hybrid system: Case study for western coastal area of Saudi Arabia," Renewable Energy, Elsevier, vol. 91(C), pages 374-385.
    19. Khatib, Tamer & Mohamed, Azah & Sopian, K., 2013. "A review of photovoltaic systems size optimization techniques," Renewable and Sustainable Energy Reviews, Elsevier, vol. 22(C), pages 454-465.
    20. Ramli, Makbul A.M. & Bouchekara, H.R.E.H. & Alghamdi, Abdulsalam S., 2018. "Optimal sizing of PV/wind/diesel hybrid microgrid system using multi-objective self-adaptive differential evolution algorithm," Renewable Energy, Elsevier, vol. 121(C), pages 400-411.

    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:eee:energy:v:66:y:2014:i:c:p:677-688. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    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.