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

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.

Technical and Economic Analysis of Low-Emissions Modernization of Existing Heating Plants in Poland

“…Continuous-time mathematical models offer an innovative approach to the technical and economic analysis of investment processes in enterprises forming heat sources [9]. Continuous time notations have a considerable advantage over discrete records [10].…”

“…One of the possible courses of modernization of heating plants that can play a very important role in terms of low-emission development involves the development of a gas-based system [9]. The constantly growing energy consumption, resulting from rapid economic development, population growth and technological progress, has led to the consideration of the application of natural gas as a fuel offering relatively low CO 2 emissions, and hence, it has gained an increasingly popular role in the energy sector and forms a very important raw material for the global economy [17].…”

“…Despite the awareness of the high price of gas, we can note that the modernization potential using technologies based on gas turbines forms a promising direction and forms a very important study aspect for environmental reasons, as it is related to lower emissions of carbon dioxide and other pollutants into the environment [9]. It is worth noting that the use of the gas-steam system leads to a decrease in CO 2 emissions, as CO 2 emission from natural gas combustion is about two times lower per unit of chemical energy of the fuel combustion compared with emission from coal combustion (for hard coal, CO 2 is equal to ρ coal CO 2…”

System of Comprehensive Energy-Efficient Utilization of Associated Petroleum Gas with Reduced Carbon Footprint in the Field Conditions

“…For example, the authors of [9] developed an integrated CHP system utilizing natural gas as a fuel with simultaneous CO 2 -capture. The methodology for selection of the optimal operation mode for such power units was thoroughly studied in [10]. In given conditions, energy systems based on gas power units can provide efficient and environment-friendly power supply.…”