Development and implementation of mathematical models of working mediums for gas part of combined cycle gas turbine system in Python programming environment

Trawiński, Paweł

doi:10.1051/e3sconf/201913701047

Cited by 4 publications

(5 citation statements)

References 4 publications

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“…The mathematical model of the working media identified in the system was based on the Redlich-Kwong real gas model [17]. The mathematical model of the axial compressor was implemented based on a set of dependencies available in [18].…”

Section: Mathematical Model Of the Gas Turbine Unitmentioning

confidence: 99%

Turbine stage expansion model including internal air film cooling and novel method of calculating theoretical power of a cooled stage

2023

Archives of Thermodynamics

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Systematic attempts to maximise the efficiency of gas turbine units are achieved, among other possibilities, by increasing the temperature at the inlet to the expansion section. This requires additional technological solutions in advanced systems for cooling the blade rows with air extracted from the compressor section. This paper introduces a new mathematical model describing the expansion process of the working medium in the turbine stage with air film cooling. The model includes temperature and pressure losses caused by the mixing of cooling air in the path of hot exhaust gases. The improvement of the accuracy of the expansion process mathematical description, compared with the currently used models, is achieved by introducing an additional empirical coefficient estimating the distribution of the cooling air along the profile of the turbine blade. The new approach to determine the theoretical power of a cooled turbine stage is also presented. The model is based on the application of three conservation laws: mass, energy and momentum. The advantage of the proposed approach is the inclusion of variable thermodynamic parameters of the cooling medium. The results were compared with the simplified models used in the literature: separate Hartsel expansion, mainstream pressure, weighted-average pressure and fully reversible. The proposed model for expansion and the determination of theoretical power allows for accurate modelling of the performance of a cooled turbine stage under varying conditions.

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Section: Mathematical Model Of the Gas Turbine Unitmentioning

confidence: 99%

Turbine stage expansion model including internal air film cooling and novel method of calculating theoretical power of a cooled stage

2023

Archives of Thermodynamics

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“…Based on the formulated dependencies, a computational programme simulating the operation of an axial compressor was developed. The mathematical model of the working medium was implemented based on [16] using the Redlich-Kwong real gas equation of state. Calculations for the compressor flow system were carried out using the stage-stacking method.…”

Section: Mathematical Model Of An Axial Compressormentioning

confidence: 99%

Archives of Thermodynamics

Trawiński

2021

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The development of a reliable mathematical model of an axial compressor requires applying flow and efficiency characteristics. This approach provides performance parameters of a machine depending on varying conditions. In this paper, a method for developing characteristics of an axial compressor is presented, based on general compressor maps available in the literature or measurement data from industrial facilities. The novelty that constitutes the core of this article is introducing an improved method describing the performance lines of an axial compressor with the modified ellipse equation. The proposed model is extended with bleed air extraction for the purposes of cooling the blades in the expander part of the gas turbine. The variable inlet guide vanes angle is also considered using the vane angle correction factor. All developed dependencies are fully analytical. The presented approach does not require knowledge of machine geometry. The set of input parameters is based on reference data. The presented approach makes it possible to determine the allowed operating area and study the machine's performance in variable conditions. The introduced mathematical correlations provide a fully analytical study of optimum operating points concerning the chosen criterion. The final section presents a mathematical model of an axial compressor built using the developed method. A detailed study of the exemplary flow and efficiency characteristics of an axial compressor operating with a gas turbine is also provided.

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“…The smoke spreading in fire buildings poses a fatal threat to indoor personnel. The research on smoke flow and control in buildings has attracted extensive attention [1]. The smoke velocity as an important parameter of smoke movement is commonly referred to in related studies and is worth measuring.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics-based measurement of the velocity of high-temperature smoke

2023

Archives of Thermodynamics

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In view of the high cost and difficulty of ensuring the accuracy in the measurement of fire smoke velocity, the measurement system developed using platinum resistance temperature detectors and an 8-bit microcontroller, is used to realize the fast measurement of high-temperature fire smoke velocity. The system is based on the thermodynamic method and adopts the Kalman filter algorithm to process the measurement data, so as to eliminate noise and interference, and reduce measurement error. The experimental results show that the Kalman filter algorithm can effectively improve the measurement accuracy of fire smoke velocity. It is also shown that the system has high measurement accuracy, short reaction time, low cost, and is characterized by high performance in the measurement of high-temperature smoke velocity in experiments and practice.

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Development and implementation of mathematical models of working mediums for gas part of combined cycle gas turbine system in Python programming environment

Cited by 4 publications

References 4 publications

Turbine stage expansion model including internal air film cooling and novel method of calculating theoretical power of a cooled stage

Turbine stage expansion model including internal air film cooling and novel method of calculating theoretical power of a cooled stage

Archives of Thermodynamics

Thermodynamics-based measurement of the velocity of high-temperature smoke

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