Optimization Research on Thermal Error Compensation of FOG in Deep Mining Using Uniform Mixed‐Data Design Method

Abstract

Suffered from the unsatisfied time consumption of thermal error compensation, this paper aims to realize a faster and more accurate fibre optic gyroscope (FOG) thermal error compensation plan, so that the deep-hole inclinometer using in mining which is based on FOG will make accurate measurement under external thermal field. Using uniform mixed-data design method, it is learned that the temperature compensation experiments only consumed 1/9 the time required for traditional method within the working condition range of 0~120°C. Suffice it to say that our method can markedly enhance the efficiency of FOG temperature compensation. To this end, the finite-element method (FEM) was also applied to explore the thermal conductivity and simulate the complex boundary conditions of the FOG. Then, the Shupe error of the FOG was calculated and used to derive the FOG error compensation formula, and the factors and their levels affecting the Shupe error in thermal field were considered in error compensation experiments. After that, the optimal design of FOG thermal error compensation experiments was created by FOG error compensation formula and uniform mixed-data design table, and this plan significantly reduced the number of experiments compared to before. Finally, the design was compared with the full-scale design and orthogonal design to verify its accuracy and efficiency. The comparison shows that the proposed method can markedly enhance the efficiency of FOG error compensation and elevate the measuring accuracy of FOG. This paper innovatively applies the uniform mixed-data design method to the field of FOG measurement, and this research offers new insights into the error compensation optimization of FOG measurement.

Design and applications of drilling trajectory measurement instrumentation in an ultra-deep borehole based on a fiber-optic gyro

“…In order to reduce the influence of temperature changes on the output accuracy of the fiber-optic gyroscope, the FOG error compensation experiment was used to establish a temperature compensation model between the parameters (temperature change rate, the effective refractive index, and the angular velocity) and the FOG output value, and to explore the mathematical relationship between them. Coefficients of the model require the FOG measurement probe to be tested on a three-axis quadrature calibration bench with a hightemperature thermostat, thereby obtaining a series of experimental data (Liu et al, 2019); photos of the temperature compensation experiment are shown in Fig. 25.…”

Application and Development of Fiber Optic Gyroscope Inertial Navigation System in Underground Space

“…In 2012, Zhang, Y. et al [ 55 ] focused on the dynamic angular velocity modeling and error compensation of a single FOG over the whole temperature range and proposed a thermal error compensation method based on an orthogonal design. In 2019, Liu, Y. et al [ 56 ] proposed a FOG thermal error compensation scheme using Shupe error and improved the accuracy of thermal error compensation by using the finite-element method (FEM) and uniform mixed-data design method.…”

Design and Applications of Drilling Trajectory Measurement Instrumentation in Ultra-deep Borehole Based on Fiber Optic Gyro

“…In order to reduce the influence of temperature changes on the output accuracy of the fiber optic gyroscope, the FOG error compensation experiment was used to establish a temperature compensation model between the parameters (temperature change rate, the effective refractive index, and the angular velocity) and the FOG output value, and to explore the mathematical relationship between them. Coefficients of the model require the FOG measurement probe to be tested on a 540 three-axis quadrature calibration bench with a high-temperature thermostat, thereby obtaining a series of experimental data ( Liu et al, 2019), photos of the temperature compensation experiment are shown in figure 28. Due to the higher temperature in boreholes, up to 250°C, a metal vacuum flask was used to ensure that the internal space did not exceed 125°C degrees (Liu et al, 2016).…”