| Issue |
MATEC Web Conf.
Volume 375, 2023
21st International Conference Diagnostics of Machines and Vehicles “Hybrid Multimedia Mobile Stage”
|
|
|---|---|---|
| Article Number | 01007 | |
| Number of page(s) | 9 | |
| Section | Selected Operational Problems of Hybrid Multimedia Mobile Stages | |
| DOI | https://doi.org/10.1051/matecconf/202337501007 | |
| Published online | 08 February 2023 | |
Semi-Markov model for the Kaplan preventive repair system for water turbines
1
Bydgoszcz University of Sciences and Technology, Kaliskiego 7, 85-796 Bydgoszcz, Poland
2
EAFIT University of Colombia
* Corresponding author: baniek15@op.pl
The article presents a semi-Markovian model of a system of preventive repairs according to age, carried out in water power plants with the use of Kaplan turbines. In the case of the analyzed technical objects, the profit per unit of time is considered as a criterion for the considered function. On the basis of the adopted assumptions, formulas describing the criterion function were presented for the developed mathematical model, and then the conditions for the existence of the maximum of this function were formulated. The proposed method makes it possible to determine the optimal time for preventive repair of the water power plant under consideration. Theoretical considerations presented in the article are presented on the basis of a calculation example developed on the basis of estimated data obtained from a real Kaplan water turbine operation system.
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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