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Extended Kalman Filter Infusion Algorithm Design and Application Characteristics Analysis to Stochastic Closed Loop Fan Speed Control of the Nonlinear Turbo-Fan Engine

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The Proceedings of the 2018 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2018) (APISAT 2018)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 459))

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Abstract

An Extended Kalman Filter (EKF) was proposed for fan speed signal infusion of the turbo fan engine. Firstly, a nonlinear discrete time analytical engine model was identified using a general nonlinear engine mathematical model based on least square method. Afterwards, fan speed signal infusion EKF algorithm was designed based on optimal filtering theory for nonlinear multistage dynamic process. Then, Kalman gains of EKF algorithm were offline tuned, and fan speed signal was synthesized by using 6 different combinations of 4 sensed parameters, T25, T3, Ps3 and EGT as input of the infusion EKF algorithm, and the infused fan speed signal under different infusion combinations were compared with the actual fan speed signal sensed directly from nonlinear engine model using small step test cases. After that, fan speed closed loop control simulations were conducted using the infused fan speed signal as feedback, and algorithms with 6 different infusion combinations were analyzed with respects to control performance and stability using small step command test case under ideal environment. Finally, closed loop control simulation was conducted with the fan speed EKF infusion signal from selected 3 parameter infusion algorithm as feedback using both small and big step command test case under stochastic environment. The results show that, under both ideal (without consideration of noise) and stochastic conditions, the proposed EKF fan speed signal infusion algorithm has a good closed loop control performance

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Abbreviations

EGT:

: Engines exhaust total temperature [K].

J:

: Moment of inertia [kg.m2]

K:

: Kalman filter state feedback gain.

MT:

: Torsional moment [kg.m/s].

Nc:

: Engine core rotor speed [rpm].

N1(Nf):

: Engine fan speed [rpm].

Ndot :

: Rate of engine core rotor or fan speed [rpm].

Ps3:

: Engine high pressure compressor static pressure [kPa].

T3:

: Engine high pressure compressor total temperature [K].

T25:

: Engine high pressure compressor total temperature [K]

Wf:

: Mass flow rate [kg/h]

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Acknowledgments

The author wishes to thank dear senior engine expert Zheng Jianhong and colleagues from Controls Department of AECC CAE Company in China, for their support in the study of this paper.

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Correspondence to Yuansuo Zhang .

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Lv, X., Zhang, Y. (2019). Extended Kalman Filter Infusion Algorithm Design and Application Characteristics Analysis to Stochastic Closed Loop Fan Speed Control of the Nonlinear Turbo-Fan Engine. In: Zhang, X. (eds) The Proceedings of the 2018 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2018). APISAT 2018. Lecture Notes in Electrical Engineering, vol 459. Springer, Singapore. https://doi.org/10.1007/978-981-13-3305-7_143

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  • DOI: https://doi.org/10.1007/978-981-13-3305-7_143

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