In-Orbit Reliability Evaluation of Space TWTA Based on Copula Function and Bivariate Hybrid Stochastic Processes
Currently, it is still a challenge to study the degradation mechanisms of the space traveling wave tube amplifier (TWTA) with no failure and small sample tests. Given that the Copula functions are used to describe the correlation of multiple performance characteristics, this paper develops a bivaria...
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| Format: | Article |
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MDPI AG
2022-02-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/3/1575 |
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| author | Xiao-Ning Wang Xiao-Bao Su Dong-Dong Ma Rui Zhang Guo-Xing Miao Wei-Long Wang |
| author_facet | Xiao-Ning Wang Xiao-Bao Su Dong-Dong Ma Rui Zhang Guo-Xing Miao Wei-Long Wang |
| author_sort | Xiao-Ning Wang |
| collection | DOAJ |
| description | Currently, it is still a challenge to study the degradation mechanisms of the space traveling wave tube amplifier (TWTA) with no failure and small sample tests. Given that the Copula functions are used to describe the correlation of multiple performance characteristics, this paper develops a bivariate hybrid stochastic degradation model to evaluate the in-orbit reliability of TWTA. Firstly, based on the impact analysis of the life of TWTA, helix current and anode voltage are selected as the performance degradation parameters. Secondly, stochastic processes with random effects based on the one-dimensional Wiener process and Gamma process are applied to describe the degradation of TWTA’s helix current and anode voltage, respectively, and the corresponding marginal distribution function is obtained. Then, the Copula function is utilized to describe the correlation between two different performance parameters of TWTA. Meanwhile, this paper also proposed a two-step method to estimate the reliability level of TWTA based on its in-orbit telemetry data through a two-step method, which contains a Markov Chain Monte Carlo (MCMC) algorithm and a maximum likelihood estimation (MLE) algorithm. Besides, the Bayes-Bootstrap sampling method is also used to improve the evaluation accuracy to overcome the defect of an in-orbit small sample of TWTA. Finally, a TWTA degradation case with a set of telemetry data is carried out, and the results show that the method proposed in this paper is more applicable and more accurate than other methods. |
| first_indexed | 2024-03-10T00:10:44Z |
| format | Article |
| id | doaj.art-041f36da266341449c7d5b9ddf3a8fe8 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T00:10:44Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-041f36da266341449c7d5b9ddf3a8fe82023-11-23T15:59:53ZengMDPI AGApplied Sciences2076-34172022-02-01123157510.3390/app12031575In-Orbit Reliability Evaluation of Space TWTA Based on Copula Function and Bivariate Hybrid Stochastic ProcessesXiao-Ning Wang0Xiao-Bao Su1Dong-Dong Ma2Rui Zhang3Guo-Xing Miao4Wei-Long Wang5Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100049, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100049, ChinaBeijing Chaoqian Technology Co., Ltd., Beijing 100193, ChinaChina Astronautics Standards Institute, Beijing 100071, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100049, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100049, ChinaCurrently, it is still a challenge to study the degradation mechanisms of the space traveling wave tube amplifier (TWTA) with no failure and small sample tests. Given that the Copula functions are used to describe the correlation of multiple performance characteristics, this paper develops a bivariate hybrid stochastic degradation model to evaluate the in-orbit reliability of TWTA. Firstly, based on the impact analysis of the life of TWTA, helix current and anode voltage are selected as the performance degradation parameters. Secondly, stochastic processes with random effects based on the one-dimensional Wiener process and Gamma process are applied to describe the degradation of TWTA’s helix current and anode voltage, respectively, and the corresponding marginal distribution function is obtained. Then, the Copula function is utilized to describe the correlation between two different performance parameters of TWTA. Meanwhile, this paper also proposed a two-step method to estimate the reliability level of TWTA based on its in-orbit telemetry data through a two-step method, which contains a Markov Chain Monte Carlo (MCMC) algorithm and a maximum likelihood estimation (MLE) algorithm. Besides, the Bayes-Bootstrap sampling method is also used to improve the evaluation accuracy to overcome the defect of an in-orbit small sample of TWTA. Finally, a TWTA degradation case with a set of telemetry data is carried out, and the results show that the method proposed in this paper is more applicable and more accurate than other methods.https://www.mdpi.com/2076-3417/12/3/1575in-orbit reliabilityspace TWTAWiener processGamma processrandom effectsCopula function |
| spellingShingle | Xiao-Ning Wang Xiao-Bao Su Dong-Dong Ma Rui Zhang Guo-Xing Miao Wei-Long Wang In-Orbit Reliability Evaluation of Space TWTA Based on Copula Function and Bivariate Hybrid Stochastic Processes Applied Sciences in-orbit reliability space TWTA Wiener process Gamma process random effects Copula function |
| title | In-Orbit Reliability Evaluation of Space TWTA Based on Copula Function and Bivariate Hybrid Stochastic Processes |
| title_full | In-Orbit Reliability Evaluation of Space TWTA Based on Copula Function and Bivariate Hybrid Stochastic Processes |
| title_fullStr | In-Orbit Reliability Evaluation of Space TWTA Based on Copula Function and Bivariate Hybrid Stochastic Processes |
| title_full_unstemmed | In-Orbit Reliability Evaluation of Space TWTA Based on Copula Function and Bivariate Hybrid Stochastic Processes |
| title_short | In-Orbit Reliability Evaluation of Space TWTA Based on Copula Function and Bivariate Hybrid Stochastic Processes |
| title_sort | in orbit reliability evaluation of space twta based on copula function and bivariate hybrid stochastic processes |
| topic | in-orbit reliability space TWTA Wiener process Gamma process random effects Copula function |
| url | https://www.mdpi.com/2076-3417/12/3/1575 |
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