Method of reducing thermal-induced errors of a fiber optic gyroscope by adding additional winding layers

Yunhao Zhang; Zhongxing Gao; Yonggang Zhang; Liu Yang

doi:10.1364/AO.377230

Applied Optics
Vol. 59,
Issue 8,
pp. 2462-2467
(2020)
•https://doi.org/10.1364/AO.377230

Method of reducing thermal-induced errors of a fiber optic gyroscope by adding additional winding layers

Yunhao Zhang, Zhongxing Gao, Yonggang Zhang, and Liu Yang

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Yunhao Zhang, Zhongxing Gao, Yonggang Zhang, and Liu Yang, "Method of reducing thermal-induced errors of a fiber optic gyroscope by adding additional winding layers," Appl. Opt. 59, 2462-2467 (2020)

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Table of Contents Category
- Fiber Optics, Fiber Sensors, and Optical Communications
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About this Article
History
- Original Manuscript: September 13, 2019
- Revised Manuscript: February 1, 2020
- Manuscript Accepted: February 5, 2020
- Published: March 2, 2020

Abstract

Thermal-induced errors have a significant impact on the environmental adaptability of a fiber optic gyroscope (FOG). Reasonable winding methods can reduce and offset the thermal-induced errors. However, complex methods put higher requirements on winding accuracy. By adding additional winding layers on the outer surface of the fiber coil, an improved winding method to reduce the temperature error of FOG is proposed in this paper. Simulations in temperature-control conditions and time-varying temperature conditions are performed. Simulation and experimental results show that additional winding layers lead to a satisfactory reduction of thermal-induced rate errors. With parameter estimation and error compensation, thermal-induced errors can be further reduced.

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Parameters	Values
Thermal diffusivity $α$	$4.8 \times 10^{- 9} m^{2} / s$
Effective index of fiber $n$	1.45
Thermo-optic coefficient $\frac{\partial n}{\partial T}$	$8.0 \times 10^{- 6} / K$
Thermal expansion coefficient of fiber $α_{f}$	$5.0 \times 10^{- 7} / K$
Average wavelength of light source $λ$	1550 nm
Fiber length $L_{0}$	1001 m
Winding layer number $M_{0}$	32
Loop number of per layer $N_{0}$	82
Inner radius $R_{1}$	59.5 mm
Outer radius $R_{2}$	64.0 mm
Height $H$	13.8 mm
Winding pattern	Quadrupolar (QAD)

Parameters	Before	After
Winding layer number $M_{0}$	32	32
Loop number of per layer $N_{0}$	82	82
Number of inner additional layers $M_{I n n e r}$	0	0
Number of outer additional layers $M_{O u t e r}$	0	8
Number of total layers	32	40

Parameters	Values
Thermal diffusivity $α$	$4.8 \times 10^{- 9} m^{2} / s$
Effective index of fiber $n$	1.45
Thermo-optic coefficient $\frac{\partial n}{\partial T}$	$8.0 \times 10^{- 6} / K$
Thermal expansion coefficient of fiber $α_{f}$	$5.0 \times 10^{- 7} / K$
Average wavelength of light source $λ$	1550 nm
Fiber length $L_{0}$	1001 m
Winding layer number $M_{0}$	32
Loop number of per layer $N_{0}$	82
Inner radius $R_{1}$	59.5 mm
Outer radius $R_{2}$	64.0 mm
Height $H$	13.8 mm
Winding pattern	Quadrupolar (QAD)

Parameters	Before	After
Winding layer number $M_{0}$	32	32
Loop number of per layer $N_{0}$	82	82
Number of inner additional layers $M_{I n n e r}$	0	0
Number of outer additional layers $M_{O u t e r}$	0	8
Number of total layers	32	40

Abstract

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Tables (2)

Equations (3)

Applied Optics