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

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.