Algorithm for promptly maintaining the temperature regime of power amplification units of the radar transmitting complex based on a thermal model

The development trends of modern electronic equipment included in radar stations consist of a constant increase in the output radiated power. This leads to a significant increase in heat generation of power amplification units as the most heat-loaded ones. To reduce failures of these units associated with overheating, this work proposes an original algorithm for quickly maintaining the temperature regime. The algorithm is based on a thermal model, which allows, unlike the known ones, to calculate the temperature distribution in the block in real time, taking into account telemetry from temperature sensors installed inside the block. The novelty of the proposed algorithm lies in the real-time control of the cooling system based on the block temperature forecast obtained using a thermal model. The thermal model is based on the mathematical formalization of thermal processes using the anisotropic body method, which allows minimizing the computational costs of calculations by representing the power amplification unit as a quasi-homogeneous body. Simulation of the temperature distribution process in the power amplification unit was performed in the COMSOL. To evaluate the efficiency of the algorithm and the ability to operate in real time at the operational stage of the radar station, a computational experiment was performed using model data. The simulation results confirmed the possibility of calculating the temperature distribution in the block in real time. Unlike existing algorithms for maintaining the temperature regime of a block, based on the readings of temperature sensors that determine the temperature at the current moment in time, the developed algorithm implements a temperature forecast. This allows you to take measures to cool the unit before the onset of critical emergency situations.

1. Goydenko V.K. Complex thermal model of communication hardware and software system. Systems of Control, Communication and Security, 2019, no. 1, pp. 141–157. (in Russian). https://doi.org/10.24411/2410-9916-2019-10108

2. Mikhailov M.V., Prodan N.V., Renev M.E. Numerical simulation of gas dynamics during operation of a wide-range rocket nozzle with a porous insert. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2023, vol. 23, no. 4, pp. 836– 842. (in Russian). https://doi.org/10.17586/2226-1494-2023-23-4-836-842

3. Tukmakova A.S., Demchenko P.S., Tkhorzhevskiy I.L., Novotelnova A.V., Khodzitsky M.K. Simulating the process of steady-state thermoreflectance for measuring the thermal conductivity of materials. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2022, vol. 22, no. 6, pp. 1216– 1225. (in Russian). https://doi.org/10.17586/2226-1494-2022-22-6-1216-1225

4. Skibina N.P. Computational study of unsteady gas flow in the combustion chamber of a ramjet engine with heat transfer. Computational Technologies, 2020, vol. 5, no. 6, pp. 50–61. (in Russian). https://doi.org/10.25743/ICT.2020.25.6.003

5. Degtyarev A.A., Molchanov A.V. Verification of calculations for heating the fuselage of an unmanned aerial vehicle with a jet stream of a turbojet engine. Journal of “Almaz – Antey” Air and Space Defence Corporation, 2020, no. 3, pp. 69–76. (in Russian). https://doi.org/10.38013/2542-0542-2020-3-69-76

6. Vikulov A.G. Mathematical simulation of heat transfer in spacecraft. Journal of “Almaz — Antey” Air and Space Defence Corporation, 2017, no. 2, pp. 61–78. (in Russian). https://doi.org/10.38013/2542-0542-2017-2-61-78

7. Sukhorukov M.P. Research and finding the optimal thermal modelsof electronic radio products of radio electronic equipment. Naukovedenie, 2017, vol. 9, no. 6, pp. 102. (in Russian)

8. Shalumov A.S., Pershin E.O., Shalumov M.A. ASONIKA-M-3D: simulation of arbitrary electronic structures on mechanical and thermal effects. Automation. Modern technologies, 2019, vol. 73, no. 7, pp. 291–300. (in Russian)

9. Shalumov A.C., Chabrikov S.V., Shalumov M.A. ASONIKA-T: analysis and ensuring of the apparatus thermal characteristics. Automation. Modern technologies, 2018, vol. 72, no. 7, pp. 291–301. (in Russian)

10. Timoshenko A.V., Perlov A.Y., Goncharenko V.I., Ermakov A.V. Modeling of thermal processes in transmitting complexes of radar monitoring stations. Russian Aeronautics, 2021, vol. 64, no. 4, pp. 783–791. https://doi.org/10.3103/s1068799821040255

11. Aronov P.S., Galanin M.P., Rodin A.S. Mathematical modeling of the contact interaction of the fuel element with creep using the mortarmethod. Keldysh Institute Preprints, 2020, no. 110, pp. 1–24. (in Russian). https://doi.org/10.20948/prepr-2020-110

12. Ezhova N.A., Sokolinsky L.B. Survey of parallel computation models. Bulletin of the South Ural State University. Series: Computational Mathematics and Software Engineering, 2019, vol. 8, no. 3, pp. 58–91. (in Russian). https://doi.org/10.14529/cmse190304

13. Spevak L.F., Nefedova O.A. Numerical solution to a two-dimensional nonlinear heat equation using radial basis functions. Computer Research and Modeling, 2022, vol. 14, no. 1, pp. 9–22. (in Rusian). https://doi.org/10.20537/2076-7633-2022-14-1-9-22

14. Dul’nev G.N. Heat and Mass Transfer in Electronic Equipment. Moscow, Vysshaya Shkola Publ., 1984, 247 p. (in Russian)

15. Kalitkin H.H. Numerical Methods. Moscow, Nauka Publ., 1978, 512 p. (in Russian)

16. Al’shin A.B., Al’shina E.A., Boltnev A.A., Kacher O.A., Koryakin P.V. Numerical solution of initial-boundary value problems for Sobolev-type equations on quasi-uniform grids. Computational Mathematics and Mathematical Physics, 2004, vol. 44, no. 3, pp. 465–484.