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 und...

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Main Authors: Yimin Liu, Chenghu Wang, Jie Wang, Weifeng Ji
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2019/4064652
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spelling doaj-4230bf1fa6e44550ba88182c66742c3e2020-11-25T00:28:51ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472019-01-01201910.1155/2019/40646524064652Optimization Research on Thermal Error Compensation of FOG in Deep Mining Using Uniform Mixed-Data Design MethodYimin Liu0Chenghu Wang1Jie Wang2Weifeng Ji3Key Lab of Crustal Dynamics, Institute of Crustal Dynamics, CEA, Beijing 100085, ChinaKey Lab of Crustal Dynamics, Institute of Crustal Dynamics, CEA, Beijing 100085, ChinaSchool of Manufacturing Science & Engineering, Sichuan University, Sichuan 610065, ChinaSchool of Manufacturing Science & Engineering, Sichuan University, Sichuan 610065, ChinaSuffered 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.http://dx.doi.org/10.1155/2019/4064652
collection DOAJ
language English
format Article
sources DOAJ
author Yimin Liu
Chenghu Wang
Jie Wang
Weifeng Ji
spellingShingle Yimin Liu
Chenghu Wang
Jie Wang
Weifeng Ji
Optimization Research on Thermal Error Compensation of FOG in Deep Mining Using Uniform Mixed-Data Design Method
Mathematical Problems in Engineering
author_facet Yimin Liu
Chenghu Wang
Jie Wang
Weifeng Ji
author_sort Yimin Liu
title Optimization Research on Thermal Error Compensation of FOG in Deep Mining Using Uniform Mixed-Data Design Method
title_short Optimization Research on Thermal Error Compensation of FOG in Deep Mining Using Uniform Mixed-Data Design Method
title_full Optimization Research on Thermal Error Compensation of FOG in Deep Mining Using Uniform Mixed-Data Design Method
title_fullStr Optimization Research on Thermal Error Compensation of FOG in Deep Mining Using Uniform Mixed-Data Design Method
title_full_unstemmed Optimization Research on Thermal Error Compensation of FOG in Deep Mining Using Uniform Mixed-Data Design Method
title_sort optimization research on thermal error compensation of fog in deep mining using uniform mixed-data design method
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2019-01-01
description 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.
url http://dx.doi.org/10.1155/2019/4064652
work_keys_str_mv AT yiminliu optimizationresearchonthermalerrorcompensationoffogindeepminingusinguniformmixeddatadesignmethod
AT chenghuwang optimizationresearchonthermalerrorcompensationoffogindeepminingusinguniformmixeddatadesignmethod
AT jiewang optimizationresearchonthermalerrorcompensationoffogindeepminingusinguniformmixeddatadesignmethod
AT weifengji optimizationresearchonthermalerrorcompensationoffogindeepminingusinguniformmixeddatadesignmethod
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