IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v113y2014icp500-514.html
   My bibliography  Save this article

Planning of regional energy systems: An inexact mixed-integer fractional programming model

Author

Listed:
  • Zhu, H.
  • Huang, W.W.
  • Huang, G.H.

Abstract

In this study, an inexact mixed-integer fractional energy system planning (IMIF-EP) model is developed for supporting sustainable energy system management under uncertainty. Based on a hybrid of interval-parameter programming (IPP), fractional programming (FP) and mixed integer linear programming (MILP) techniques, IMIF-EP can systematically reflect various complexities in energy management systems. It not only handles imprecise uncertainties and dynamic features associated with power generation expansion planning, but also optimizes the system efficiency represented as output/input ratios. An interactive transform algorithm is proposed to solve the IMIF-EP model. For demonstrating effectiveness of the developed approach, IMIF-EP is applied to support long-term planning for an energy system. The results indicate that interval solutions obtained from IMIF-EP can provide flexible schemes of resource allocations and facility expansions towards sustainable energy management (SEM) under multiple complexities. A comparative economical energy management (EEM) system is also provided. Compared with least-cost models that optimize single criterion, IMIF-EP can better characterize practical energy management problems by optimizing a ratio between criteria of two magnitudes. In application, IMIF-EP is advantageous in balancing conflicting objectives and reflecting complicated relationships among multiple system factors.

Suggested Citation

  • Zhu, H. & Huang, W.W. & Huang, G.H., 2014. "Planning of regional energy systems: An inexact mixed-integer fractional programming model," Applied Energy, Elsevier, vol. 113(C), pages 500-514.
  • Handle: RePEc:eee:appene:v:113:y:2014:i:c:p:500-514
    DOI: 10.1016/j.apenergy.2013.07.053
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030626191300620X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2013.07.053?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. Li, G.C. & Huang, G.H. & Lin, Q.G. & Zhang, X.D. & Tan, Q. & Chen, Y.M., 2011. "Development of a GHG-mitigation oriented inexact dynamic model for regional energy system management," Energy, Elsevier, vol. 36(5), pages 3388-3398.
    2. Sampaio, Henrique César & Dias, Rubens Alves & Balestieri, José Antônio Perrella, 2013. "Sustainable urban energy planning: The case study of a tropical city," Applied Energy, Elsevier, vol. 104(C), pages 924-935.
    3. Stigson, Peter & Dotzauer, Erik & Yan, Jinyue, 2009. "Improving policy making through government-industry policy learning: The case of a novel Swedish policy framework," Applied Energy, Elsevier, vol. 86(4), pages 399-406, April.
    4. Zhu, Y. & Huang, G.H. & Li, Y.P. & He, L. & Zhang, X.X., 2011. "An interval full-infinite mixed-integer programming method for planning municipal energy systems - A case study of Beijing," Applied Energy, Elsevier, vol. 88(8), pages 2846-2862, August.
    5. Connolly, D. & Lund, H. & Mathiesen, B.V. & Leahy, M., 2010. "A review of computer tools for analysing the integration of renewable energy into various energy systems," Applied Energy, Elsevier, vol. 87(4), pages 1059-1082, April.
    6. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    7. Yong Zeng & Yanpeng Cai & Guohe Huang & Jing Dai, 2011. "A Review on Optimization Modeling of Energy Systems Planning and GHG Emission Mitigation under Uncertainty," Energies, MDPI, vol. 4(10), pages 1-33, October.
    8. Vladimir S. Koritarov, Guenter Conzelmann, Thomas D. Veselka, William A. Buehring, Richard R. Cirillo, Victor V. Podinovski, 1999. "Incorporating environmental concerns into electric system expansion planning using a multi-criteria decision support system," International Journal of Global Energy Issues, Inderscience Enterprises Ltd, vol. 12(1/2/3/4/5), pages 60-67.
    9. Wene, C.-O., 1996. "Energy-economy analysis: Linking the macroeconomic and systems engineering approaches," Energy, Elsevier, vol. 21(9), pages 809-824.
    10. P Linares & C Romero, 2000. "A multiple criteria decision making approach for electricity planning in Spain: economic versus environmental objectives," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(6), pages 736-743, June.
    11. Turton, Hal & Barreto, Leonardo, 2006. "Long-term security of energy supply and climate change," Energy Policy, Elsevier, vol. 34(15), pages 2232-2250, October.
    12. Pohekar, S. D. & Ramachandran, M., 2004. "Application of multi-criteria decision making to sustainable energy planning--A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 8(4), pages 365-381, August.
    13. Li, Y.P. & Huang, G.H. & Chen, X., 2011. "Planning regional energy system in association with greenhouse gas mitigation under uncertainty," Applied Energy, Elsevier, vol. 88(3), pages 599-611, March.
    14. Mavrotas, George & Florios, Kostas & Vlachou, Dimitra, 2010. "Energy planning of a hospital using Mathematical Programming and Monte Carlo simulation for dealing with uncertainty in the economic parameters," MPRA Paper 105754, University Library of Munich, Germany.
    15. Wang, Jiang-Jiang & Jing, You-Yin & Zhang, Chun-Fa & Zhao, Jun-Hong, 2009. "Review on multi-criteria decision analysis aid in sustainable energy decision-making," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(9), pages 2263-2278, December.
    16. Hladík, Milan, 2010. "Generalized linear fractional programming under interval uncertainty," European Journal of Operational Research, Elsevier, vol. 205(1), pages 42-46, August.
    17. Antunes, C.Henggeler & Martins, A.Gomes & Brito, Isabel Sofia, 2004. "A multiple objective mixed integer linear programming model for power generation expansion planning," Energy, Elsevier, vol. 29(4), pages 613-627.
    18. Schaible, Siegfried & Ibaraki, Toshidide, 1983. "Fractional programming," European Journal of Operational Research, Elsevier, vol. 12(4), pages 325-338, April.
    19. Zhou, P. & Ang, B.W. & Poh, K.L., 2006. "Decision analysis in energy and environmental modeling: An update," Energy, Elsevier, vol. 31(14), pages 2604-2622.
    20. H. Zhu & G. Huang & P. Guo & X. Qin, 2009. "A Fuzzy Robust Nonlinear Programming Model for Stream Water Quality Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(14), pages 2913-2940, November.
    21. Han, Jee-Hoon & Ahn, Yu-Chan & Lee, In-Beum, 2012. "A multi-objective optimization model for sustainable electricity generation and CO2 mitigation (EGCM) infrastructure design considering economic profit and financial risk," Applied Energy, Elsevier, vol. 95(C), pages 186-195.
    22. Huang, Guo H. & Baetz, Brian W. & Patry, Gilles G., 1995. "Grey integer programming: An application to waste management planning under uncertainty," European Journal of Operational Research, Elsevier, vol. 83(3), pages 594-620, June.
    23. Yasumasa Fujii & Kenji Yamaji, 1998. "Assessment of technological options in the global energy system for limiting the atmospheric CO 2 concentration," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 1(2), pages 113-139, December.
    24. Li, Y.F. & Li, Y.P. & Huang, G.H. & Chen, X., 2010. "Energy and environmental systems planning under uncertainty--An inexact fuzzy-stochastic programming approach," Applied Energy, Elsevier, vol. 87(10), pages 3189-3211, October.
    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. Shi, Yi & Huang, Yidan & Xu, Jiuping, 2024. "A clean optimization approach for sustainable waste-to-energy using integrated technology," Renewable Energy, Elsevier, vol. 221(C).
    2. Zhou, Yang & Han, Jingcheng & Zhou, Ya, 2024. "Synergizing carbon trading and water management for urban sustainability: A city-level multi-objective planning framework," Applied Energy, Elsevier, vol. 359(C).
    3. Liang, M.S. & Huang, G.H. & Chen, J.P. & Li, Y.P., 2022. "Energy-water-carbon nexus system planning: A case study of Yangtze River Delta urban agglomeration, China," Applied Energy, Elsevier, vol. 308(C).
    4. Changyu Zhou & Guohe Huang & Jiapei Chen, 2019. "A Type-2 Fuzzy Chance-Constrained Fractional Integrated Modeling Method for Energy System Management of Uncertainties and Risks," Energies, MDPI, vol. 12(13), pages 1-21, June.
    5. Nie, S. & Huang, Charley Z. & Huang, G.H. & Li, Y.P. & Chen, J.P. & Fan, Y.R. & Cheng, G.H., 2016. "Planning renewable energy in electric power system for sustainable development under uncertainty – A case study of Beijing," Applied Energy, Elsevier, vol. 162(C), pages 772-786.
    6. Chen, Fang & Huang, Guohe & Fan, Yurui, 2015. "A linearization and parameterization approach to tri-objective linear programming problems for power generation expansion planning," Energy, Elsevier, vol. 87(C), pages 240-250.
    7. Bale, Catherine S.E. & Varga, Liz & Foxon, Timothy J., 2015. "Energy and complexity: New ways forward," Applied Energy, Elsevier, vol. 138(C), pages 150-159.
    8. Ahmed, Sajjad & Elsholkami, Mohamed & Elkamel, Ali & Du, Juan & Ydstie, Erik B. & Douglas, Peter L., 2014. "Financial risk management for new technology integration in energy planning under uncertainty," Applied Energy, Elsevier, vol. 128(C), pages 75-81.
    9. Ge Song & Chao Dai & Qian Tan & Shan Zhang, 2019. "Agricultural Water Management Model Based on Grey Water Footprints under Uncertainty and its Application," Sustainability, MDPI, vol. 11(20), pages 1-18, October.
    10. Niu, Geng & Zheng, Yi & Han, Feng & Qin, Huapeng, 2019. "The nexus of water, ecosystems and agriculture in arid areas: A multiobjective optimization study on system efficiencies," Agricultural Water Management, Elsevier, vol. 223(C), pages 1-1.
    11. Zhang, X.Y. & Huang, G.H. & Zhu, H. & Li, Y.P., 2017. "A fuzzy-stochastic power system planning model: Reflection of dual objectives and dual uncertainties," Energy, Elsevier, vol. 123(C), pages 664-676.
    12. Changyu Zhou & Guohe Huang & Jiapei Chen, 2018. "A Multi-Objective Energy and Environmental Systems Planning Model: Management of Uncertainties and Risks for Shanxi Province, China," Energies, MDPI, vol. 11(10), pages 1-21, October.
    13. Wierzbowski, Michal & Lyzwa, Wojciech & Musial, Izabela, 2016. "MILP model for long-term energy mix planning with consideration of power system reserves," Applied Energy, Elsevier, vol. 169(C), pages 93-111.
    14. Mirakyan, Atom & Guio, R.D., 2014. "A methodology in innovative support of the integrated energy planning preparation and orientation phase," Energy, Elsevier, vol. 78(C), pages 916-927.
    15. Berrada, Asmae & Loudiyi, Khalid & Garde, Raquel, 2017. "Dynamic modeling of gravity energy storage coupled with a PV energy plant," Energy, Elsevier, vol. 134(C), pages 323-335.
    16. Song, Tangnyu & Huang, Guohe & Zhou, Xiong & Wang, Xiuquan, 2018. "An inexact two-stage fractional energy systems planning model," Energy, Elsevier, vol. 160(C), pages 275-289.
    17. Liang Cui & Yongping Li & Guohe Huang, 2015. "Planning an Agricultural Water Resources Management System: A Two-Stage Stochastic Fractional Programming Model," Sustainability, MDPI, vol. 7(8), pages 1-18, July.
    18. Lin, Xiajing & Huang, Guohe & Zhou, Xiong & Zhai, Yuanyuan, 2023. "An inexact fractional multi-stage programming (IFMSP) method for planning renewable electric power system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 187(C).
    19. Xu, Ye & Tan, Junyuan & Wang, Xu & Li, Wei & He, Xing & Hu, Xiaoguang & Fan, Yurui, 2022. "Synergetic management of water-energy-food nexus system and GHG emissions under multiple uncertainties: An inexact fractional fuzzy chance constraint programming method," Agricultural Water Management, Elsevier, vol. 262(C).
    20. Lu, W.T. & Dai, C. & Fu, Z.H. & Liang, Z.Y. & Guo, H.C., 2018. "An interval-fuzzy possibilistic programming model to optimize China energy management system with CO2 emission constraint," Energy, Elsevier, vol. 142(C), pages 1023-1039.
    21. Jixian Cui & Chenghao Liao & Ling Ji & Yulei Xie & Yangping Yu & Jianguang Yin, 2021. "A Short-Term Hybrid Energy System Robust Optimization Model for Regional Electric-Power Capacity Development Planning under Different Pollutant Control Pressures," Sustainability, MDPI, vol. 13(20), pages 1-20, October.
    22. Baležentis, Tomas & Streimikiene, Dalia, 2017. "Multi-criteria ranking of energy generation scenarios with Monte Carlo simulation," Applied Energy, Elsevier, vol. 185(P1), pages 862-871.
    23. Simic, Vladimir, 2016. "End-of-life vehicles allocation management under multiple uncertainties: An interval-parameter two-stage stochastic full-infinite programming approach," Resources, Conservation & Recycling, Elsevier, vol. 114(C), pages 1-17.

    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. Yong Zeng & Yanpeng Cai & Guohe Huang & Jing Dai, 2011. "A Review on Optimization Modeling of Energy Systems Planning and GHG Emission Mitigation under Uncertainty," Energies, MDPI, vol. 4(10), pages 1-33, October.
    2. Ye Liu & Guohe Huang & Yanpeng Cai & Cong Dong, 2011. "An Inexact Mix-Integer Two-Stage Linear Programming Model for Supporting the Management of a Low-Carbon Energy System in China," Energies, MDPI, vol. 4(10), pages 1-30, October.
    3. Cai, Y.P. & Huang, G.H. & Yang, Z.F. & Tan, Q., 2009. "Identification of optimal strategies for energy management systems planning under multiple uncertainties," Applied Energy, Elsevier, vol. 86(4), pages 480-495, April.
    4. Song, Tangnyu & Huang, Guohe & Zhou, Xiong & Wang, Xiuquan, 2018. "An inexact two-stage fractional energy systems planning model," Energy, Elsevier, vol. 160(C), pages 275-289.
    5. Prasad, Ravita D. & Bansal, R.C. & Raturi, Atul, 2014. "Multi-faceted energy planning: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 38(C), pages 686-699.
    6. Strantzali, Eleni & Aravossis, Konstantinos, 2016. "Decision making in renewable energy investments: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 55(C), pages 885-898.
    7. Koltsaklis, Nikolaos E. & Dagoumas, Athanasios S. & Kopanos, Georgios M. & Pistikopoulos, Efstratios N. & Georgiadis, Michael C., 2014. "A spatial multi-period long-term energy planning model: A case study of the Greek power system," Applied Energy, Elsevier, vol. 115(C), pages 456-482.
    8. Jayaraman, Raja & Colapinto, Cinzia & Torre, Davide La & Malik, Tufail, 2015. "Multi-criteria model for sustainable development using goal programming applied to the United Arab Emirates," Energy Policy, Elsevier, vol. 87(C), pages 447-454.
    9. Zhu, Y. & Li, Y.P. & Huang, G.H. & Fu, D.Z., 2013. "Modeling for planning municipal electric power systems associated with air pollution control – A case study of Beijing," Energy, Elsevier, vol. 60(C), pages 168-186.
    10. Liu, Y. & Huang, G.H. & Cai, Y.P. & Cheng, G.H. & Niu, Y.T. & An, K., 2009. "Development of an inexact optimization model for coupled coal and power management in North China," Energy Policy, Elsevier, vol. 37(11), pages 4345-4363, November.
    11. Wu, Zhibin & Xu, Jiuping, 2013. "Predicting and optimization of energy consumption using system dynamics-fuzzy multiple objective programming in world heritage areas," Energy, Elsevier, vol. 49(C), pages 19-31.
    12. Mallikarjun, Sreekanth & Lewis, Herbert F., 2014. "Energy technology allocation for distributed energy resources: A strategic technology-policy framework," Energy, Elsevier, vol. 72(C), pages 783-799.
    13. Cai, Y.P. & Huang, G.H. & Yang, Z.F. & Lin, Q.G. & Tan, Q., 2009. "Community-scale renewable energy systems planning under uncertainty--An interval chance-constrained programming approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(4), pages 721-735, May.
    14. Mirakyan, Atom & De Guio, Roland, 2013. "Integrated energy planning in cities and territories: A review of methods and tools," Renewable and Sustainable Energy Reviews, Elsevier, vol. 22(C), pages 289-297.
    15. Piao, M.J. & Li, Y.P. & Huang, G.H. & Nie, S., 2015. "Risk analysis for Shanghai's electric power system under multiple uncertainties," Energy, Elsevier, vol. 87(C), pages 104-119.
    16. Yılmaz, Sebnem & Selim, Hasan, 2013. "A review on the methods for biomass to energy conversion systems design," Renewable and Sustainable Energy Reviews, Elsevier, vol. 25(C), pages 420-430.
    17. 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.
    18. Domenech, B. & Ferrer-Martí, L. & Pastor, R., 2015. "Hierarchical methodology to optimize the design of stand-alone electrification systems for rural communities considering technical and social criteria," Renewable and Sustainable Energy Reviews, Elsevier, vol. 51(C), pages 182-196.
    19. McKenna, R. & Bertsch, V. & Mainzer, K. & Fichtner, W., 2018. "Combining local preferences with multi-criteria decision analysis and linear optimization to develop feasible energy concepts in small communities," European Journal of Operational Research, Elsevier, vol. 268(3), pages 1092-1110.
    20. Sellak, Hamza & Ouhbi, Brahim & Frikh, Bouchra & Palomares, Iván, 2017. "Towards next-generation energy planning decision-making: An expert-based framework for intelligent decision support," Renewable and Sustainable Energy Reviews, Elsevier, vol. 80(C), pages 1544-1577.

    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:appene:v:113:y:2014:i:c:p:500-514. 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.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    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.