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

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 mathematica...

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Main Authors: Ryszard Bartnik, Waldemar Skomudek, Zbigniew Buryn, Anna Hnydiuk-Stefan, Aleksandra Otawa
Format: Article
Language:English
Published: MDPI AG 2018-07-01
Series:Energies
Subjects:
gas
Online Access:http://www.mdpi.com/1996-1073/11/7/1784
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spelling doaj-9d21c36deaf6493a935749461e2e64f22020-11-25T00:11:40ZengMDPI AGEnergies1996-10732018-07-01117178410.3390/en11071784en11071784Methodology 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 SystemRyszard Bartnik0Waldemar Skomudek1Zbigniew Buryn2Anna Hnydiuk-Stefan3Aleksandra Otawa4Faculty of Production Engineering and Logistics, Opole University of Technology, 45-758 Opole, PolandFaculty of Production Engineering and Logistics, Opole University of Technology, 45-758 Opole, PolandFaculty of Production Engineering and Logistics, Opole University of Technology, 45-758 Opole, PolandFaculty of Production Engineering and Logistics, Opole University of Technology, 45-758 Opole, PolandFaculty of Production Engineering and Logistics, Opole University of Technology, 45-758 Opole, PolandThis 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.http://www.mdpi.com/1996-1073/11/7/1784dual-fuel power plantparallel systemcombined heat and power (CHP) plantgaspower
collection DOAJ
language English
format Article
sources DOAJ
author Ryszard Bartnik
Waldemar Skomudek
Zbigniew Buryn
Anna Hnydiuk-Stefan
Aleksandra Otawa
spellingShingle Ryszard Bartnik
Waldemar Skomudek
Zbigniew Buryn
Anna Hnydiuk-Stefan
Aleksandra Otawa
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
dual-fuel power plant
parallel system
combined heat and power (CHP) plant
gas
power
author_facet Ryszard Bartnik
Waldemar Skomudek
Zbigniew Buryn
Anna Hnydiuk-Stefan
Aleksandra Otawa
author_sort Ryszard Bartnik
title 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
title_short 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
title_full 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
title_fullStr 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
title_full_unstemmed 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
title_sort 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
publisher MDPI AG
series Energies
issn 1996-1073
publishDate 2018-07-01
description 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.
topic dual-fuel power plant
parallel system
combined heat and power (CHP) plant
gas
power
url http://www.mdpi.com/1996-1073/11/7/1784
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