Simulation analysis of reduction effect of symmetrical winding method for multi-polar fiber ring on Shupe error
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摘要:
Shupe误差是高精度光纤陀螺（IFOG）工程化过程中的最大瓶颈问题之一。建立一个精确到匝的光纤环有限元模型，基于此模型，并在不同温度激励下分析八极、十六极和三十二极对称绕法的温度性能。仿真结果表明：相对于八极对称绕法，采用十六极对称绕法和三十二极对称绕法的光纤陀螺能够有效抑制热致陀螺漂移，且十六极对称绕法的抑制效果最好。这对高精度IFOG的光纤环绕制方法的选择提供了指导。
Abstract:The Shupe bias error is one of the biggest bottleneck problems in the engineering application of interferometric fiber optic gyroscope (IFOG). A turn-by-turn finite element model for fiber coils is established in this article. Based on this model, analyze the temperature performance of the 8 level, 16 level and 32 level symmetric winding method are analyzed under different temperature excitations. The results show that compared with octupolar symmetrical winding methods, the 16-polar and 32-polar symmetrical winding methods can effectively reduce the thermally induced gyro drift, and that the 16-polar symmetrical winding methods have the best temperature performance among the three methods. This conclusion provides guidance for the selection of fiber coil winding method for high precision IFOG.
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图 3 32层20匝光纤环完整模型
Figure 3. Complete model of optical fiber coil with 32 layers and 20 turns
图 5 光纤环模型和网格划分局部放大
Figure 5. Magnification and grid division of optical fiber coil model
图 6 不同温度激励方式下光纤环温度分布仿真结果
Figure 6. Simulation results of temperature distribution of fiber coil under different temperature excitations
图 7 四周均匀激励下各对称绕法的陀螺热致漂移曲线
Figure 7. Gyro drift error curve under uniform temperature excitation
图 8 径向单侧激励下各对称绕法的陀螺热致漂移曲线
Figure 8. Gyro drift error curve under radial temperature excitation
图 9 轴向单侧激励下各对称绕法的陀螺热致漂移曲线
Figure 9. Gyro drift error curve under axial temperature excitation
图 10 径向单侧激励下64层光纤环不同绕法的陀螺漂移曲线
Figure 10. Gyro drift error curve under the radial temperature excitation with 64 layer fiber coil
表 1 仿真采用的光纤环结构参数
Table 1. Fiber coil structure parameter for simulation
参数 数值 层数 32 匝数 20 包层直径/m 0.000135 纤芯直径/m 0.00008 光纤环直径/m 0.1128 光纤总长/m 230.72 
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表 2 材料参数
Table 2. Material parameters
材料 密度ρ/
(kg·m−3)比热c/
( J·(kg·K)−1)导热率λ/
( W·(K·m2)−1)纤芯 2203 1 990 1.38 包层 1 900 1400 0.21 胶 970 1 600 0.21
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表 3 各绕法不同温度激励方式热致陀螺漂移标准差
Table 3. Gyro drift SD of different temperature excitations and winding methods
（°）/h 绕制方法 四周均匀激励 径向单侧激励 轴向单侧激励 八极对称 0.00125 0.00149 0.00181 十六极对称 0.00029 0.00043 0.00045 三十二极对称 0.00073 0.00072 0.00123
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表 4 64层光纤环各绕法热致陀螺漂移标准差
Table 4. Gyro drift SD of different winding methods with 64 layer fiber coil
（°）/h 绕制方法 标准差 十六极对称 0.00042 三十二极对称 0.00099
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