Mathematical modeling of an axial compressor in a gas turbine cycle
Abstract
Contemporary thermal diagnostic systems of power units require advanced computational tools, including mathematical models.These models should have a simple structure and short computing time. These conditions are satisfied by models thatinclude mass and energy balances as well as additional empirical functions whose coefficients are estimated by using themeasurement results. This paper presents a simulation model of an axial compressor which forms part of a gas turbineunit with a rated output of 125.4 MW. The model was developed with the use of a generalized compressor map, describingthe relationship between corrected air mass flow rate, pressure ratio, isentropic efficiency and corrected rotational speed.The model encompasses the empirical formula for compressor internal efficiency, which additionally considers the effect ofvariation of the angle of inlet guide vanes. The unknown values of empirical coefficients which appear in this equation wereestimated on the basis of operating data. The calculation results obtained were compared with the measurement results. Thequality of the model prediction was evaluated and conclusions were drawn.References
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[2] P. P. Walsh, P. Fletcher, Gas turbine performance, John Wiley & Sons,
2004.
[3] A. Lazzaretto, A. Toffolo, Analytical and neural network models for gas
turbine design and off-design simulation, International Journal of Thermodynamics
4 (4) (2001) 173–182.
[4] H. Cohen, G. F. C. Rogers, Saravanamuttoo, Gas turbine theory, Longman
Group Limited, 1996.
[5] J. Kalina, Fossil fuel savings, carbon emission reduction and economic
attractiveness of medium-scale integrated biomass gasification combined
cycle cogeneration plants, Thermal Science 16 (3) (2012) 827–
848.
[6] F. Haglind, Variable geometry gas turbines for improving the part-load
performance of marine combined cycles–gas turbine performance, Energy
35 (2) (2010) 562–570.
[7] GateCycleTM version 6.0 Manual.
[8] P. Wirkowski, Modelling the characteristics of axial compressor of variable
flow passage geometry, working in the gas turbine engine system,
Polish Maritime Research (2007) 27–32.
[9] G. Szapajko, H. Rusinowski, Theoretical-empirical model of the steamwater
cycle of the power unit, Acta Montanistica Slovaca 15 (1) (2010)
24.
[10] M. P. Boyce, Gas turbine engineering handbook, second edition Edition,
Gulf Professional Publishing, 2001.
Published
2016-10-29
How to Cite
PLIS, Marcin; RUSINOWSKI, Henryk.
Mathematical modeling of an axial compressor in a gas turbine cycle.
Journal of Power Technologies, [S.l.], v. 96, n. 3, p. 194--199, oct. 2016.
ISSN 2083-4195.
Available at: <https://papers.itc.pw.edu.pl/index.php/JPT/article/view/951>. Date accessed: 22 dec. 2024.
Issue
Section
Energy from Gas 2016 Conference
Keywords
Mathematical modelling, Gas turbine, Axial compressor, Empirical functions, Inlet guide vanes of compressor
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