The Lz-Transform Method for the Reliability and Fault Tolerance Assessment of Norilsk-Type Ship’s Diesel-Geared Traction Drives

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This paper focuses on a comparative analysis of the most important parameters of an icebreaker ship’s sustainable operations: the operational availability, power performance and power performance deficiency of the multi-state Multi-Power Source Traction Drives of Norilsk-type Arctic icebreaker ships. These parameters have a significant impact on the correct choice of the propulsive system of icebreaking vessels. The parameters’ evaluation was based on statistical operational data on Arctic icebreaker ships with diesel-geared traction drive. The Lz-transform approach was used to arrive at a solution of that problem. This approach drastically simplifies the solution compared with the straightforward Markov method.

1. Bolvashenkov, I., Herzog, H.G. (2016) Use of Stochastic Models for Operational Efficiency Analysis of Multi Power Source Traction Drives, In: Proceedings of the Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management, (SMRLO16), 15–18 February 2016, Beer Sheva, Israel, pp. 124–130.

2. Bolvashenkov, I., Kammermann, J., Willerich, S., Herzog, H.G. (2016) Comparative Study of Reliability and Fault Tolerance of Multi-Phase Permanent Magnet Synchronous Motors for Safety-Critical Drive Trains. In: Proc. of the International Conference on Renewable Energies and Power Quality (ICREPQ16), 4–6 May 2016, Madrid, Spain, pp. 1–6.

3. Frenkel, I., Bolvashenkov, I., Herzog, H.G., Khvatskin, L. (2016) Performance Availability Assessment of Combined Multi Power Source Traction Drive Considering Real Operational Conditions, Transport and Telecommunication, 17(3): 179–191.

4. Frenkel, I., Bolvashenkov, I., Herzog, H.G., Khvatskin, L. (2017) Operational Sustainability Assessment of Multi Power Source Traction Drive. In: Ram M., Davim J.P. (Eds) Mathematics Applied to Engineering, Elsevier, London, pp. 191–203.

5. Frenkel, I., Bolvashenkov, I., Herzog, H.G., Khvatskin, L. (2017) Lz-transform Approach for Fault Tolerance Assessment of Various Traction Drives Topologies of Hybrid-electric Helicopter. In: Lisnianski A., Frenkel I., Karagrigoriou A. (Eds) Recent Advances in Multistate System Reliability: Theory and Applications, Springer, London, pp 321–362.

6. Jia, H., Jin, W., Ding, Y., Song, Y., Yu, D. (2017) Multi-state time-varying reliability evaluation of smart grid with flexible demand resources utilizing Lz transform. In: Proc. of the International Conference on Energy Engineering and Environmental Protection (EEEP2016), IOP Publishing, IOP Conf. Series: Earth and Environmental Science, vol 52.

7. Lisnianski, A. (2012) Lz-transform for a Discrete-State Continuous-Time Markov Process and its Application to Multi-State Systems Reliability. In: Lisnianski A., Frenkel I. (Eds) Recent Advances in System Reliability: Signatures, Multi-state Systems and Statistical Inference, Springer, London, pp 79–95.

8. Lisnianski, A., Frenkel, I., Ding, Y. (2010) Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers, Springer, London.

9. Natvig, B. (2011) Multistate Systems Reliability, Theory with Applications. Wiley, New York.

10. Trivedi, K. (2002) Probability and Statistics with Reliability, Queuing and Computer Science Applications. Wiley, New York.

11. Ushakov, I. (1986) A Universal Generating Function. Soviet Journal of Computer and System Sciences, 24: 37–49.

12. Yu, H., Yang, J., Mo, H. (2014) Reliability analysis of repairable multi-state system with common bus performance sharing. Reliability Engineering and System Safety, 132: 90-96.

Transport and Telecommunication Journal

The Journal of Transport and Telecommunication Institute

Journal Information

Cite Score 2018: 1.19

SCImago Journal Rank (SJR) 2018: 0.251
Source Normalized Impact per Paper (SNIP) 2018: 0.982


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