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Open AccessArticle

State Vector Identification of Hybrid Model of a Gas Turbine by Real-Time Kalman Filter

1
Escuela Superior de Ingeniería Mecánica y Eléctrica, Unidad Culhuacan, Instituto Politécnico Nacional, Av. Santa Ana No. 1000, Col. San Francisco Culhuacan, Mexico City C.P. 04430, Mexico
2
Universidad Tecnológica Emiliano Zapata del Estado de Morelos, Universidad Tecnológica No. 1, Morelos 62760, Mexico
3
Universidad Autónoma del Estado de México, CU UAEM Zumpango Kilómetro 3.5 Camino Viejo a Jilotzingo, Estado de Mexico 55600, Mexico
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(5), 659; https://doi.org/10.3390/math8050659
Received: 12 March 2020 / Revised: 20 April 2020 / Accepted: 22 April 2020 / Published: 27 April 2020
A model and real-time simulation of a gas turbine engine (GTE) by real-time tasks (RTT) is presented. A Kalman filter is applied to perform the state vector identification of the GTE model. The obtained algorithms are recursive and multivariable; for this reason, ANSI C libraries have been developed for (a) use of matrices and vectors, (b) dynamic memory management, (c) simulation of state-space systems, (d) approximation of systems using equations in matrix finite difference, (e) computing the mean square errors vector, and (f) state vector identification of dynamic systems through digital Kalman filter. Simulations were performed in a Single Board Computer (SBC) Raspberry Pi 2® with a real-time operating system. Execution times have been measured to justify the real-time simulation. To validate the results, multiple time plots are analyzed to verify the quality and convergence time of the mean square error obtained. View Full-Text
Keywords: gas turbine model; Kalman filter; real-time; identification; single board computer; time constraints gas turbine model; Kalman filter; real-time; identification; single board computer; time constraints
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MDPI and ACS Style

Delgado-Reyes, G.; Guevara-Lopez, P.; Loboda, I.; Hernandez-Gonzalez, L.; Ramirez-Hernandez, J.; Valdez-Martinez, J.-S.; Lopez-Chau, A. State Vector Identification of Hybrid Model of a Gas Turbine by Real-Time Kalman Filter. Mathematics 2020, 8, 659. https://doi.org/10.3390/math8050659

AMA Style

Delgado-Reyes G, Guevara-Lopez P, Loboda I, Hernandez-Gonzalez L, Ramirez-Hernandez J, Valdez-Martinez J-S, Lopez-Chau A. State Vector Identification of Hybrid Model of a Gas Turbine by Real-Time Kalman Filter. Mathematics. 2020; 8(5):659. https://doi.org/10.3390/math8050659

Chicago/Turabian Style

Delgado-Reyes, Gustavo; Guevara-Lopez, Pedro; Loboda, Igor; Hernandez-Gonzalez, Leobardo; Ramirez-Hernandez, Jazmin; Valdez-Martinez, Jorge-Salvador; Lopez-Chau, Asdrubal. 2020. "State Vector Identification of Hybrid Model of a Gas Turbine by Real-Time Kalman Filter" Mathematics 8, no. 5: 659. https://doi.org/10.3390/math8050659

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