Linear dynamic mathematical model and identification of micro turbojet engine for Turbofan Power Ratio control
Micro turbojets can be used for propulsion of civilian and military aircraft, consequently their investigation and control is essential. Although these power plants exhibit nonlinear behaviour, their control can be based on linearized mathematical models in a narrow neighbourhood of a selected operating point and can be extended by using robust control laws like H∞ or Linear Quadratic Integrating (LQI). The primary aim of the present paper is to develop a novel parametric linear mathematical model based on state space representation for micro turbojet engines and the thrust parameter being Turbofan Power Ratio (TPR). This parameter is used by recent Rolls-Royce commercial turbofan engines but can be applied for single stream turbojet power plants as well, as it has been proven by the authors previously. An additional goal is to perform the identification for a particular type based on measurements of a real engine. This model has been found suitable for automatic control of the selected engine with respect of TPR, this has been validated by simulations conducted in MATLAB® Simulink® environment using acquired data from transient operational modes.
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Beneda, K. (2015). Modular electronic turbojet control system based on TPR. Acta Avionica, 17(1).
Beneda, R. Andoga, R., & Főző, L. (2018). Linear mathematical model for state-space representation of small scale turbojet engine with variable exhaust nozzle. Periodica Polytechnica Transportation Engineering, 46(1), 1-10. https://doi.org/10.3311/PPtr.10605
Bicsák, G., & Veress, A. (2017). New adaptation of actuator disc method for aircraft propeller CFD analyses. Acta Polytechnica Hungarica, 14(6), 95-114.
Cwojdziński, L., & Adamski, M. (2014). Power units and power supply systems in UAV. Aviation, 18(1), 1-8. https://doi.org/10.3846/16487788.2014.865938
Davies, C., Holt, J. E., & Griffin, I. A. (2006). Benefits of inverse model control of Rolls-Royce civil gas turbines. In Proceedings of International Control Conference 2006. Glasgow, UK. ISBN 0 947649549.
Dinc, A. (2016). Optimization of a turboprop UAV for maximum loiter and specific power using genetic algorithm. International Journal of Turbo and Jet Engines, 33(3), 265-273. https://doi.org/10.1515/tjj-2015-0030
do Nascimento, M. A. R., de Oliveira Rodrigues, L., dos Santos, E. C., Gomes, E. E. B., Dias, F. L. G., Velásques, E. I. G., & Carrillo, R. A. M. (2013). Micro gas turbine engine: A review. In Benini, E. (Ed.), Progress in Gas Turbine Performance. Intech Open, 2, ch. 5, 107-141. https://doi.org/10.5772/54444
Dutczak, J. (2016). Micro turbine engines for drones propulsion. In Proceedings of the 2016 IOP Conference Series: Materials Science and Engineering, 148, 012063. https://doi.org/10.1088/1757-899X/148/1/012063
Elkhateeb, N. A., Badr, R. I., & Abouelsoud, A. A. (2014). Constrained linear state feedback controller for a low-power gas turbine model. Journal of Control Engineering and Technology, 4(1), 66-75.
Garrett turbocharger compressor maps. (n.d.). Retrieved from http://turbocharged.com/catalog/compmaps/fig1.html
Garrett turbocharger turbine maps. (n.d.). Retrieved from http://www.turbobygarrett.com/turbobygarrett/compressormaps
Katolicky, Z., Bušov, B., & Bartlova, M. (2014). Turbojet engine innovation and TRIZ. In Proceedings of the 16th International Conference on Mechatronics (pp. 16-23). Brno, Czech Republic. https://doi.org/10.1109/MECHATRONIKA.2014.7018230
Kuz’michev, V. S., Tkachenko, A. Y., Filinov, E. P., Krupenich, I. N., & Ostapyuk, Y. A. (2017). Optimization of working process parameters of small-scale turbojet for unmanned aircraft. In Proceedings of the 2017 International Conference on Mechanical, System and Control Engineering (ICMSC) (pp. 125-129). St. Petersburg, Russia. https://doi.org/10.1109/ICMSC.2017.7959456
Nyulászi, L., Andoga, R., Butka, P., Főző, L., Kovacs, R., & Moravec, T. (2018). Fault detection and isolation of an aircraft turbojet engine using a multi-sensor network and multiple model approach. Acta Polytechnica Hungarica, 15(2), 189-209. https://doi.org/10.12700/APH.15.1.2018.2.10
Seo, J. M., Lim, H. S., Park, J. Y., Park, M. R., & Choi, B. S. (2017). Development and experimental investigation of a 500-Wclass ultra-micro gas turbine power generator. Journal of Energy, 124, 9-18. https://doi.org/10.1016/j.energy.2017.02.012
Tavakolpour-Saleh, A. R., Nasib, S. A. R., Sepasyan, A., & Hashemi, S. M. (2015). Parametric and nonparametric system identification of an experimental turbojet engine. Aerospace Science and Technology, 43, 21-29. https://doi.org/10.1016/j.ast.2015.02.013
Tudosie, A. (2012). Aircraft single-spool single-jet engine with variable area exhaust nozzle. In Proceedings of the International Conference on Applied and Theoretical Electricity (ICATE) (pp. 141-144). Craiova, Romania. https://doi.org/10.1109/ICATE.2012.6403465
Williams, R. L., & Lawrence, D. A. (2007). Linear state-space control systems. John Wiley and Sons, Hoboken, N.J. https://doi.org/10.1002/9780470117873