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Matrix modelling of small-scale trigeneration systems and application to operational optimization

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  • Chicco, Gianfranco
  • Mancarella, Pierluigi

Abstract

Combined production of electricity, heat and cooling power in trigeneration represents a key option for the development of high-efficiency and cost-effective integrated energy systems. The complexity of the possible plant schemes calls for the adoption of general models handling multiple interconnected components and energy flows of various typologies. This paper presents a comprehensive input–output matrix approach aimed at modelling small-scale trigeneration equipment taking into account the interactions among plant components and external energy networks. Starting from the definitions of specific efficiency matrices for each plant component and from a matrix representation of the relevant interconnections, an overall efficiency matrix representing the whole plant is constructed. This construction is carried out by means of an original procedure, suitable for automatic and symbolic implementation, which, exploiting graph theory concepts, explores the tree formed by the backward paths from outputs to inputs. The proposed formulation maintains the separation among the individual energy vectors, each of which can be associated to its time-dependent price, providing the basic framework for formulating optimization problems concerning management of trigeneration systems within an energy market context. A numerical example referred to the optimal operation of a composite scheme with absorption and electric chillers is illustrated and discussed. The results obtained show the modelling effectiveness of the proposed matrix formulation.

Suggested Citation

  • Chicco, Gianfranco & Mancarella, Pierluigi, 2009. "Matrix modelling of small-scale trigeneration systems and application to operational optimization," Energy, Elsevier, vol. 34(3), pages 261-273.
    • Handle: RePEc:eee:energy:v:34:y:2009:i:3:p:261-273
    DOI: 10.1016/j.energy.2008.09.011
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    References listed on IDEAS

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    1. Burer, M. & Tanaka, K. & Favrat, D. & Yamada, K., 2003. "Multi-criteria optimization of a district cogeneration plant integrating a solid oxide fuel cell–gas turbine combined cycle, heat pumps and chillers," Energy, Elsevier, vol. 28(6), pages 497-518.
    2. Oh, Si-Doek & Lee, Ho-Jun & Jung, Jung-Yeul & Kwak, Ho-Young, 2007. "Optimal planning and economic evaluation of cogeneration system," Energy, Elsevier, vol. 32(5), pages 760-771.
    3. Arcuri, P. & Florio, G. & Fragiacomo, P., 2007. "A mixed integer programming model for optimal design of trigeneration in a hospital complex," Energy, Elsevier, vol. 32(8), pages 1430-1447.
    4. Rong, Aiying & Lahdelma, Risto, 2005. "An efficient linear programming model and optimization algorithm for trigeneration," Applied Energy, Elsevier, vol. 82(1), pages 40-63, September.
    5. Chicco, Gianfranco & Mancarella, Pierluigi, 2007. "Trigeneration primary energy saving evaluation for energy planning and policy development," Energy Policy, Elsevier, vol. 35(12), pages 6132-6144, December.
    6. Cardona, E. & Piacentino, A., 2005. "Cogeneration: a regulatory framework toward growth," Energy Policy, Elsevier, vol. 33(16), pages 2100-2111, November.
    7. Hernández-Santoyo, Joel & Sánchez-Cifuentes, Augusto, 2003. "Trigeneration: an alternative for energy savings," Applied Energy, Elsevier, vol. 76(1-3), pages 219-227, September.
    8. Rong, Aiying & Lahdelma, Risto & Luh, Peter B., 2008. "Lagrangian relaxation based algorithm for trigeneration planning with storages," European Journal of Operational Research, Elsevier, vol. 188(1), pages 240-257, July.
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