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Chance-constrained two-stage fractional optimization for planning regional energy systems in British Columbia, Canada

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  • Zhou, Xiong
  • Huang, Guohe
  • Zhu, Hua
  • Chen, Jiapei
  • Xu, Jinliang

Abstract

In this study, a chance-constrained two-stage fractional optimization (CTFO) method is proposed for planning regional energy systems in the province of British Columbia, Canada. Through simultaneously integrating two-stage stochastic programming (TSP), chance-constrained programming (CCP), and mixed-integer linear programming (MILP) techniques into a linear fractional programming (LFP) framework, CTFO can effectively tackle multiobjective and capacity-expansion issues, as well as uncertainties described as probability distributions in the constraints and objectives. Based on the developed CTFO method, a chance-constrained two-stage fractional regional energy model (CTFO-REM) is developed in this study for supporting energy management in the province of British Columbia. Conflicts between environmental protection that maximizes the renewable energy resource utilization and economic development that minimizes the system cost can be effectively addressed through the CTFO-REM model without setting a factor for each objective. The results also indicate that the CTFO-REM model can facilitate dynamic analysis of the interactions among efficiency, policy scenarios, economic cost, and system reliability.

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  • Zhou, Xiong & Huang, Guohe & Zhu, Hua & Chen, Jiapei & Xu, Jinliang, 2015. "Chance-constrained two-stage fractional optimization for planning regional energy systems in British Columbia, Canada," Applied Energy, Elsevier, vol. 154(C), pages 663-677.
  • Handle: RePEc:eee:appene:v:154:y:2015:i:c:p:663-677
    DOI: 10.1016/j.apenergy.2015.05.013
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    as
    1. Srivastava, Leena & Misra, Neha, 2007. "Promoting regional energy co-operation in South Asia," Energy Policy, Elsevier, vol. 35(6), pages 3360-3368, June.
    2. Iniyan, S & Sumathy, K, 2000. "An optimal renewable energy model for various end-uses," Energy, Elsevier, vol. 25(6), pages 563-575.
    3. 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.
    4. Jebaraj, S. & Iniyan, S., 2006. "A review of energy models," Renewable and Sustainable Energy Reviews, Elsevier, vol. 10(4), pages 281-311, August.
    5. Fadaee, M. & Radzi, M.A.M., 2012. "Multi-objective optimization of a stand-alone hybrid renewable energy system by using evolutionary algorithms: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(5), pages 3364-3369.
    6. Howells, M. I. & Alfstad, T. & Victor, D. G. & Goldstein, G. & Remme, U., 2005. "A model of household energy services in a low-income rural African village," Energy Policy, Elsevier, vol. 33(14), pages 1833-1851, September.
    7. Lee, Chien-Chiang & Chang, Chun-Ping, 2007. "The impact of energy consumption on economic growth: Evidence from linear and nonlinear models in Taiwan," Energy, Elsevier, vol. 32(12), pages 2282-2294.
    8. Iniyan, S & Suganthi, L & Jagadeesan, T.R & Samuel, Anand A, 2000. "Reliability based socio economic optimal renewable energy model for India," Renewable Energy, Elsevier, vol. 19(1), pages 291-297.
    9. Ahmadi, Pouria & Rosen, Marc A. & Dincer, Ibrahim, 2012. "Multi-objective exergy-based optimization of a polygeneration energy system using an evolutionary algorithm," Energy, Elsevier, vol. 46(1), pages 21-31.
    10. Pekala, Lukasz M. & Tan, Raymond R. & Foo, Dominic C.Y. & Jezowski, Jacek M., 2010. "Optimal energy planning models with carbon footprint constraints," Applied Energy, Elsevier, vol. 87(6), pages 1903-1910, June.
    11. Ramachandra, T.V., 2009. "RIEP: Regional integrated energy plan," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(2), pages 285-317, February.
    12. Dicorato, M. & Forte, G. & Trovato, M., 2008. "Environmental-constrained energy planning using energy-efficiency and distributed-generation facilities," Renewable Energy, Elsevier, vol. 33(6), pages 1297-1313.
    13. Henning, Dag & Amiri, Shahnaz & Holmgren, Kristina, 2006. "Modelling and optimisation of electricity, steam and district heating production for a local Swedish utility," European Journal of Operational Research, Elsevier, vol. 175(2), pages 1224-1247, December.
    14. Ma, Tieju & Nakamori, Yoshiteru, 2009. "Modeling technological change in energy systems – From optimization to agent-based modeling," Energy, Elsevier, vol. 34(7), pages 873-879.
    15. Luhandjula, M.K., 2006. "Fuzzy stochastic linear programming: Survey and future research directions," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1353-1367, November.
    16. 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.
    17. Grohnheit, Poul Erik & Gram Mortensen, Bent Ole, 2003. "Competition in the market for space heating. District heating as the infrastructure for competition among fuels and technologies," Energy Policy, Elsevier, vol. 31(9), pages 817-826, July.
    18. Khella, Anwar Farid Agaybi, 1997. "Egypt : Energy planning policies with environmental considerations," Energy Policy, Elsevier, vol. 25(1), pages 105-115, January.
    19. Thomas Unger & Tomas Ekvall, 2003. "Benefits from increased cooperation and energy trade under CO 2 commitments-The Nordic case," Climate Policy, Taylor & Francis Journals, vol. 3(3), pages 279-294, September.
    20. Ren, Hongbo & Zhou, Weisheng & Nakagami, Ken'ichi & Gao, Weijun & Wu, Qiong, 2010. "Multi-objective optimization for the operation of distributed energy systems considering economic and environmental aspects," Applied Energy, Elsevier, vol. 87(12), pages 3642-3651, December.
    21. Mavrotas, George & Diakoulaki, Danae & Florios, Kostas & Georgiou, Paraskevas, 2008. "A mathematical programming framework for energy planning in services' sector buildings under uncertainty in load demand: The case of a hospital in Athens," Energy Policy, Elsevier, vol. 36(7), pages 2415-2429, July.
    22. Q. Lin & G. Huang, 2011. "Interval-fuzzy stochastic optimization for regional energy systems planning and greenhouse-gas emission management under uncertainty—a case study for the Province of Ontario, Canada," Climatic Change, Springer, vol. 104(2), pages 353-378, January.
    23. Cormio, C. & Dicorato, M. & Minoia, A. & Trovato, M., 2003. "A regional energy planning methodology including renewable energy sources and environmental constraints," Renewable and Sustainable Energy Reviews, Elsevier, vol. 7(2), pages 99-130, April.
    24. Koroneos, C. & Michailidis, M. & Moussiopoulos, N., 2004. "Multi-objective optimization in energy systems: the case study of Lesvos Island, Greece," Renewable and Sustainable Energy Reviews, Elsevier, vol. 8(1), pages 91-100, February.
    25. Ramanathan, Ramakrishnan, 2005. "An analysis of energy consumption and carbon dioxide emissions in countries of the Middle East and North Africa," Energy, Elsevier, vol. 30(15), pages 2831-2842.
    26. Remmers, J. & Morgenstern, Th. & Schons, G. & Haasis, H. -D. & Rentz, O., 1990. "Integration of air pollution control technologies in linear energy--environmental models," European Journal of Operational Research, Elsevier, vol. 47(3), pages 306-316, August.
    27. Wene, Clas-Otto & Ryden, Bo, 1988. "A comprehensive energy model in the municipal energy planning process," European Journal of Operational Research, Elsevier, vol. 33(2), pages 212-222, January.
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