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Methodology and a Continuous Time Mathematical Model for Selecting the Optimum Capacity of a Heat Accumulator Integrated with a CHP Plant

Author

Listed:
  • Ryszard Bartnik

    (Faculty of Production Engineering and Logistics, Opole University of Technology, 45-758 Opole, Poland)

  • Zbigniew Buryn

    (Faculty of Production Engineering and Logistics, Opole University of Technology, 45-758 Opole, Poland)

  • Anna Hnydiuk-Stefan

    (Faculty of Production Engineering and Logistics, Opole University of Technology, 45-758 Opole, Poland)

  • Adam Juszczak

    (ArcelorMittal Poland S.A., Zdzieszowice Branch, 47-330 Zdzieszowice, Poland)

Abstract

This paper contains the results of a study in which a novel approach using continuous time notation was applied in the search for the optimum capacity of a heat accumulation tank to be combined with an existing CHP (combined heat and power) plant. The necessary condition associated with the economic profitability of the application of heat accumulation tanks in CHP plants is based on the condition that the profit from the exploitation of the modernized CHP plant does not decrease in relation to this profit before the process was initiated. Hence, the applied methodology provides a dependence that has universal application as it can be used to establish the optimal capacity of a heat accumulation tank suitable for any CHP plant design, i.e., for any thermal capacity of such a plant. The results also demonstrated that the specific enthalpies of the extracted steam before the base load heater and the maximum increase of the flow rate of the extracted steam feeding the base load heater in winter form the only necessary inputs for such calculations. The construction of the heat accumulation tank is only profitable for the case when the difference in the purchase prices at the times corresponding to peak load and base load electricity demand is sufficiently high.

Suggested Citation

  • Ryszard Bartnik & Zbigniew Buryn & Anna Hnydiuk-Stefan & Adam Juszczak, 2018. "Methodology and a Continuous Time Mathematical Model for Selecting the Optimum Capacity of a Heat Accumulator Integrated with a CHP Plant," Energies, MDPI, vol. 11(5), pages 1-17, May.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:5:p:1240-:d:146073
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    References listed on IDEAS

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    1. Bartnik, Ryszard & Hnydiuk-Stefan, Anna & Buryn, Zbigniew, 2018. "Analysis of the impact of technical and economic parameters on the specific cost of electricity production," Energy, Elsevier, vol. 147(C), pages 965-979.
    2. Bogdan, Željko & Kopjar, Damir, 2006. "Improvement of the cogeneration plant economy by using heat accumulator," Energy, Elsevier, vol. 31(13), pages 2285-2292.
    3. Christidis, Andreas & Koch, Christoph & Pottel, Lothar & Tsatsaronis, George, 2012. "The contribution of heat storage to the profitable operation of combined heat and power plants in liberalized electricity markets," Energy, Elsevier, vol. 41(1), pages 75-82.
    4. Short, Michael & Crosbie, Tracey & Dawood, Muneeb & Dawood, Nashwan, 2017. "Load forecasting and dispatch optimisation for decentralised co-generation plant with dual energy storage," Applied Energy, Elsevier, vol. 186(P3), pages 304-320.
    5. Streckiene, Giedre & Martinaitis, Vytautas & Andersen, Anders N. & Katz, Jonas, 2009. "Feasibility of CHP-plants with thermal stores in the German spot market," Applied Energy, Elsevier, vol. 86(11), pages 2308-2316, November.
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    Cited by:

    1. Bartnik, Ryszard & Buryn, Zbigniew & Hnydiuk-Stefan, Anna, 2021. "Thermodynamic and economic analysis of effect of heat accumulator volume on the specific cost of heat production in the gas-steam CHP plant," Energy, Elsevier, vol. 230(C).
    2. Anna Hnydiuk-Stefan & Aleksandra Otawa & Krzysztof Stefan & Dariusz Zmarzły, 2021. "Technical and Economic Analysis of Low-Emissions Modernization of Existing Heating Plants in Poland," Energies, MDPI, vol. 14(21), pages 1-26, November.
    3. Ryszard Bartnik & Waldemar Skomudek & Zbigniew Buryn & Anna Hnydiuk-Stefan & Aleksandra Otawa, 2018. "Methodology and Continuous Time Mathematical Model to Select Optimum Power of Gas Turbine Set for Dual-Fuel Gas-Steam Combined Heat and Power Plant in Parallel System," Energies, MDPI, vol. 11(7), pages 1-22, July.

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