Problem statement for practical modeling of temperature fields of gyroscopes in space navigation systems

V M Pankratov,A V Golikov,M V Efremov,E V Pankratova,M A Barulina,V Breskich,A Zheltenkov,Y Dreizis

doi:10.1051/e3sconf/202022402006

Abstract

The paper describes a method of studying temperature fields in fiber-optic gyroscopes that are part of complex navigation systems, using the example fiber-optic gyroscope as part of the angular velocity measurement system BIUS-M-1, developed by “Antares” (Saratov). The work relevance is due to the fact that currently existing methods for studying external and internal thermal effects on precision devices, and the resulting three-dimensional non-stationary temperature fields may be too complicated for practical application, or require significant computation and time resource. Also, not all contemporary models take into account such parameters, as low pressure and vacuum, the importance of which for devices operating in space orbital conditions cannot be underestimated. Therefore, modeling of the thermal process in various devices should be carried out at the design stage. At the same time, such modeling should not be labor-intensive, do not require large financial investment and computing resources. In this paper, the authors formulate a research problem, develop a thermal model, and present the main relations that are the components of the mathematical model of nonstationary three-dimensional inhomogeneous temperature fields in the fiber-optic gyroscope. The resulting model can be implemented quite simply in computational algorithms and software.

Highlights

Introduction and problem statementThermal effects are one of the most significant factors that affect the accuracy, reliability, and service life of precision sensors of inertial information of various types
This article describes a method of studying non-stationary inhomogeneous threedimensional temperature fields in fiber-optic gyroscopes (FOG) under complex temperature
FOG is widely used in navigation systems for various purposes, often in severe operating conditions, including extreme temperature disturbances that are one of the main inaccuracy reasons

Summary

Introduction and problem statement

Thermal effects are one of the most significant factors that affect the accuracy, reliability, and service life of precision sensors of inertial information of various types. At the stage of work, following the concept of hierarchical modeling of thermal fields in complex devices, a detailed study is carried out in the previously considered thermal modes of the temperature fields of a separate FOG (lower level of the hierarchy), which is a part of the navigation measuring system Such a detailed study allows us to determine the degree of influence of external temperature disturbances on individual elements of the FOG structure, and in particular, on the fiber-optic coil, the light source, and the temperature stability of which the accuracy of the sensor depends [1,2,3,4,6,9]. The following tasks are set: - construction of a thermal and mathematical model of a non-stationary inhomogeneous temperature field of a fiber-optic gyroscope; - development of software realized the constructed mathematical model based on in C++ with the included library of models of thermal effects (LMTE). - using the developed software, obtain and analyze comparative data on the temperature distribution in the fiber-optic gyroscope in various operating modes

Mathematical model

Thermal operation modes

Findings

Conclusion