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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

Author

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  • Ryszard Bartnik

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

  • Waldemar Skomudek

    (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)

  • Aleksandra Otawa

    (Faculty of Production Engineering and Logistics, Opole University of Technology, 45-758 Opole, 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 gas turbine designed for a dual-fuel gas-steam combined heat and power plant in a parallel system. As a result of the application of mathematical models of any functions that account for variations in time of all integrand quantities, for example prices of energy carriers, the model that was developed provides a way to analyze complex dependencies. The results of calculations obtained as a result of using this notation provide a rational selection of technologies and equipment designed for the energy industry. The results are based on an analysis involving a combined heat and power plant with an extraction-condensing steam turbine and extraction backpressure steam turbine for a wide range of the variability in energy prices and environmental charges corresponding to the current prices and environmental charges. All the curves were obtained using innovative methodology and mathematical model in which the total, discounted profit is calculated at the given moment and expressed as NPV achieved from the operation of dual-fuel gas-steam combined heat and power (CHP) plant.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:7:p:1784-:d:156795
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Ryszard Bartnik & Zbigniew Buryn & Anna Hnydiuk-Stefan & Marcin Szega & Tomasz Popławski, 2020. "Power and Frequency Control in the National Power System of the 370 MW Coal Fired Unit Superstructured with a Gas Turbine," Energies, MDPI, vol. 13(10), pages 1-35, May.
    3. Valentin Morenov & Ekaterina Leusheva & George Buslaev & Ove T. Gudmestad, 2020. "System of Comprehensive Energy-Efficient Utilization of Associated Petroleum Gas with Reduced Carbon Footprint in the Field Conditions," Energies, MDPI, vol. 13(18), pages 1-14, September.

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