Accuracy analysis of a single-fault Markov model for FADEC system

doi:10.21629/JSEE.2019.05.20

Journal of Systems Engineering and Electronics ›› 2019, Vol. 30 ›› Issue (5): 1044-1052.doi: 10.21629/JSEE.2019.05.20

• Reliability • Previous Articles

Accuracy analysis of a single-fault Markov model for FADEC system

Jing CAI*(), Wei HU(), Kunye CAI()

College of Civil Aviation, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China

Received:2018-10-15 Online:2019-10-08 Published:2019-10-09
Contact: Jing CAI E-mail:caijing@nuaa.edu.cn;luanwu@nuaa.edu.cn;852344855@163.com
About author:CAI Jing was born in 1976. He received his B.S. and Ph.D. degrees from Nanjing University of Aeronautics and Astronautics in 1999 and 2007. He is currently an associate professor in Nanjing University of Aeronautics and Astronautics (NUAA). His research interests include reliability statistics, maintenance theory, and prognostic and health management (PHM). E-mail: caijing@nuaa.edu.cn|HU Wei was born in 1995. He is studying for his master's degree at Nanjing university of Aeronautics and Astronautics. His research interests include airworthiness, reliability and time-limited dispatch. E-mail: luanwu@nuaa.edu.cn|CAI Kunye was born in 1993. He is studying for his master's degree at Nanjing university of Aeronautics and Astronautics. His research interests include analytical application of quick access recorder data and continuous airworthiness management of civil aircraft. E-mail: 852344855@163.com
Supported by:
the National Natural Science Foundation of China(51705242);Shanghai Sailing Program(16YF1404900);the Fundamental Research Funds for the Central Universities(NS2015072);This work was supported by the National Natural Science Foundation of China (51705242), Shanghai Sailing Program (16YF1404900) and the Fundamental Research Funds for the Central Universities (NS2015072)

Abstract

Abstract:

Time-limited dispatching (TLD) analysis of the full authority digital engine control (FADEC) systems is an important part of the aircraft system safety analysis and a necessary task for the certification of commercial aircraft and aeroengines. In the time limited dispatch guidance document ARP5107B, a single-fault Markov model (MM) approach is proposed for TLD analysis. However, ARP5107B also requires that the loss of thrust control (LOTC) rate error calculated by applying the single-fault MM must be less than 5% when performing airworthiness certification. Firstly, the sources of accuracy errors in three kinds of MM are analyzed and specified through a case study of the general FADEC system, and secondly a two-fault MM considering maintenance policy is established through analyzing and calculating the expected repair time when two related faults happen. Finally, a specific FADEC system is given to study on the influence factors of accuracy error in the single-fault MM, and the results show that the accuracy error of the single-fault MM decreases with the increase of short or long prescribed dispatch time, and the range values of short time (ST) and long time (LT) are determined to satisfy the requirement of accuracy error within 5%.

Key words: full authority digital engine control (FADEC) system, Markov model (MM), accuracy analysis, loss of thrust control (LOTC)

Jing CAI, Wei HU, Kunye CAI. Accuracy analysis of a single-fault Markov model for FADEC system[J]. Journal of Systems Engineering and Electronics, 2019, 30(5): 1044-1052.

Figures/Tables 16

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References 23

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Equation	Coefficient
Equation	$P({{{\rm{F}}}}_i)$	$P({{{\rm{F}}}}_{ij})$	$P({{{\rm{LOTC}}}})$	$P({{{\rm{FU}}}})$
No. 1-75 $(i, j = 1, 2, \ldots, 75;i\ne j)$	${ }-(\mu _i +\sum\limits_j{\lambda _j } +\lambda _{i\_L} )$	0	$0$	$\lambda _i $
No. 76-5095 $(i, j = 1, 2, \ldots, 75;i\ne j)$	$\lambda _j $	$-(\mu _{ij} +\lambda _{ij\_L} )$	0	0
No. 5096	${ }\sum\limits_i {\mu _i } $	$~~~~~~~~~~~~~~~~~~~~~\mu _{ij}\\ (i, j = 1, 2, \ldots, 75;i\ne j)$	$\mu _F $	$-{ }\left( {\lambda _{{{{\rm{HMU}}}}} +\sum\limits_i {\lambda _i } } \right)$
No. 5097	${ }\sum\limits_i {\lambda _{i\_L} } $	$~~~~~~~~~~~~~~~~~\lambda _{ij\_L}\\(i, j = 1, 2, \ldots, 75;i\ne j)$	$-\mu _F $	$\lambda _{{{{\rm{HMU}}}}} $

Accuracy analysis of a single-fault Markov model for FADEC system

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