Mathematical model of optimization of preventive maintenance of transmitting active phased antenna arrangements of multifunctional radars
DOI:
https://doi.org/10.18372/2310-5461.46.14802Keywords:
active phased antenna array, reliability model, optimal preventive maintenance, actual condition maintenanceAbstract
In the article, the authors discuss the issues of determining the reliability indicators and maintenance of transmitting active phased array antennas (AFAR) of multifunctional radars. The analysis of the existing models of reliability and maintenance of AFAR radar. It is shown that the most interesting models of transmitting AFAR reliability are the reliability model with a two-level block diagram of the AFAR and the reliability model according to the criterion of permissible reduction of the maximum radar range. Among the AFAR maintenance models, the most interesting ones were identified: the AFAR optimal preventive maintenance (ON) model with a single-level structure and the AFAR maintenance model by technical condition.
Using the results of the analysis, models of reliability and optimal preventive maintenance of a multi-functional radar transmitting AFAR are constructed. The analytical expressions of the reliability indicators of a two-level AFAR are presented: the average operating time to failure and the probabilities of failure-free operation of the antenna transmitting sublattice and the transmitting AFAR as a whole. Analytical expressions are constructed for the criteria for the effectiveness of optimal software (coefficient of technical use and mathematical expectation of specific operating costs) and the criteria for gaining from software optimization. The work considers an illustrative example of calculating the reliability and optimal software of a two-level AFAR, including 6400 microwave emitting channels, arranged in 100 sublattices with 64 channels each. The mean operating time to failure and the optimal periodicity of the AFAR software were determined for three versions of the reliability indicators of the emitting channels. The graphs of the probability of failure-free operation, the coefficient of technical use and the mathematical expectation of the specific operational costs of the AFAR were constructed and analyzed. The values of the optimal periodicity and the gain from optimization are obtained. It is shown that the results of optimal software should be used at the initial stage of operation of radars with AFAR — at the stage of warranty service.
At further stages of operation - the stages of post-warranty service, it is recommended to use the AFAR maintenance method according to the technical condition.
The models proposed by the authors can be useful to engineers and scientists developing radars with AFAR and employees of operating organizations.
References
Ashok K. Agrawal. Active Phased Array Design for High Reliability, [Text] / Ashok K. Agrawal, and Eric L. Holzman // IEEE Transactions on aerospace and electronic systems. 1999. Vol. 35. NO. 4 - October 1999. Pp. 1204–1211.
Ashok K. Agrawal. Beamformer Architectures for Active Phased-Array Radar Antennas, [Text] / Ashok K. Agrawal, and Eric L. Holzman // IEEE Transactions on antennas and propagation. 1999. Vol. 47 No. 3 march 1999. Pp. 432–442.
Kostanovskii V. V. A mathematical model for calculating the reliability of nonreducible phased antenna arrays. Measurement Techniques. 2014. Т. 57. № 1. Pp. 87–90.
Костановський В. В. Математичні моделі надійності типових апертур фазованих антенних решіток, які враховують раптові та поступові відмови модулів надвисоких частот . Математичні машини і системи. 2014. № 2. С. 142–150.
Kostanovskyi V., Machalin I., Kozachuk O., Terentyeva I. Construction of a generalized probabilis¬tic-physical model of reliability of two-level active phased antenna array. Eastern-European journal of enterprise technologies, 3/9 (99) 2019, ISSN 1729-3774 DOI:10.15587/17289-061/2019/168525. С. 31–40.
Костановский В. В., Мачалин И. А. Разработка и исследование универсальных моделей надежности активной фазированной антенной решетки многофункциональной радиолокационной станции. Водний транспорт. 2020. №1.
Костановський В. В., Демченко О. В., Козачук О. Д., Мачалин І. О. Модель розрахунку показників надійності АФАР за критерієм допустимого зниження максимальної дальності РЛС. Наукоємні технології. 2020. Том 45. №1.
Костановський В. В. Оптимізування технічного обслуговування фазованих антенних решіток. Математичні машини і системи. 2015.
Костановский В. В., Козачук О. Д. Оптими¬зация технического обслуживания группы фазированных антенных решеток с учетом внезапных и постепенных отказов СВЧ каналов. Математичні машини і системи. 2017. №1. С. 122–130.
Kostanovskyi V., Kozachuk O., Rusniak I. Development of the algorithm of reliability centered maintenance of phased array antennas. Eastern-European journal of enterprise technologies, 1/9 (91) 2018 / УДC.681.3 (07) DOI: 10.15587/1729-4061.2018.123430. С. 20–31.
