光纤法珀传感器的改进型相位生成载波法解调 -

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光纤法珀传感器的改进型相位生成载波法解调

doi:10.37188/CO.2023-0108

周朕蕊^{1, 2,},
张国强^{1, 2,,},
邱宗甲^1,,
郭少朋^1,,
李群^3,,
邵剑^3,,
吴鹏^3,,
陆云才^3,

1.
中国科学院电工研究所, 北京 100190
2.
中国科学院大学, 北京 100049
3.
国网江苏省电力有限公司电力科学研究院, 江苏南京 211102

基金项目:国家重点研发计划（No. 2022YFF0708402）

详细信息

作者简介:
周朕蕊(1995—)，女，湖北武汉人，博士研究生，2020年于中国科学院电工研究所获得硕士学位，目前主要从事先进光学传感器与电力设备在线监测研究。E-mail：zhouzhenrui@mail.iee.ac.cn
张国强(1964—)，男，河北保定人，博士后，研究员，博士生导师，1989年于清华大学获得硕士学位，1999年于华北电力大学获得博士学位，主要从事电气设备状态检测与故障诊断机理、先进光学传感器与在线监测仪器研制等方面研究。E-mail：zhanggqi@mail.iee.ac.cn
邱宗甲(1983—)，男，山东人，博士，助理研究员，主要从事先进光学传感器与电力设备在线监测的研究。E-mail：qiuzongjia@mail.iee.ac.cn
郭少朋：郭少鹏(1974—)，男，河南人，博士，助理研究员，主要从事等方面研究。E-mail：gsp@mail.iee.ac.cn
李　群(1967—)，男，博士，研究员级高工，主要从事电力设备故障光纤检测、分布式光纤测温、配电网等方面研究。E-mail：qun_li@sina.com
邵　剑(1991—)，男，硕士，主要从事电气智能化研究。E-mail：18851790705@163.com
吴　鹏(1983—)，男，博士，正高级工程师，主要从事高电压与绝缘技术、输变电等研究。E-mail：15105168844@163.com
陆云才(1982—)，男，硕士，主要从事高电压与绝缘技术研究。E-mail：sixhair@163.com

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出版历程
- 网络出版日期:2023-11-07

An improved phase generated carrier demodulation algorithm of fiber optic fabry-perot sensor

1.
Institute of Electrical Engineering, Chinese Academic of Sciences, Beijing 100190, China
2.
University of Chinese Academic of Sciences, Beijing 100049, China
3.
Electric Power Research Institute of State Grid Jiangsu Electric Power Co Ltd, Nanjing 211102, China

Funds:Supported by the National Key Research and Development of China (No. 2022YFF0708402)

More Information

Corresponding author:zhanggqi@mail.iee.ac.cn

摘要

摘要:
为解决相位生成载波-反正切解调算法(PGC-Atan)的非线性失真问题，搭建了基于改进型PGC-Atan算法的非本征型法珀传感器(EFPI)解调系统。首先，理论分析载波相位调制深度(C)偏离最优值、伴生调幅、载波相位延迟等非线性因素对经典PGC-Atan算法中参与反正切运算的正弦与余弦两路信号的影响。然后，针对外调制或伴生调幅较小的情况，提出了一种基于系数补偿的改进型PGC-Atan算法(PGC-CC-Atan)。该算法通过构造与C值和载波相位延迟有关的系数，消除反正切运算中的非线性参数。针对内调制情况，提出了一种基于椭圆拟合的改进型PGC-Atan算法(PGC-EF-Atan)。该算法通过基于分块矩阵的最小二乘法拟合椭圆并提取3个椭圆参数，进而将受非线性因素影响的正弦与余弦两路信号校正为正交信号。最后，通过仿真验证了改进型算法的正确性，并采用高调制特性的垂直腔面发射器(VCSEL)和常规腔长的EFPI传感器等搭建PGC解调系统，对比经典PGC-Atan算法与两种改进型算法的解调性能，证实了改进型算法抑制非线性失真的有效性。实验结果表明：一定C值范围内，两种改进型算法可在非线性因素影响下有效解调。PGC-EF-Atan算法相较于PGC-CC-Atan算法，解调信纳比提升了11.602 dB，总谐波失真降低了10.951%。两种改进型算法中，PGC-EF-Atan算法对非线性失真的抑制效果更好，且解调线性度良好，准确度高。
- 相位生成载波解调/
- 非线性失真/
- 椭圆拟合/
- 光纤法珀传感器
Abstract:
To address the issue of non-linear distortion in the Phase Generated Carrier (PGC) demodulation algorithm, we have developed an extrinsic Fabry-Perot Interferometer (EFPI) sensor demodulation system that is based on an improved PGC-Atan algorithm. The theoretical analysis focuses on the nonlinear factors affecting sine and cosine signals used in arctangent operation of the PGC-Atan algorithm. Such factors include deviations from optimal values of the phase modulation depth (C), companion amplitude modulation, and carrier phase delay. As a solution, we propose an improved PGC-Atan algorithm based on a correction coefficient (PGC-CC-Atan) suitable for external modulation or the case of low companion amplitude modulation scenarios. The PGC-CC-Atan algorithm generates a coefficient relating to C and carrier phase delay while excluding nonlinear parameters in the arctangent operation. Furthermore, an improved PGC-Atan algorithm that utilizes an elliptic fitting algorithm (PGC-EF-Atan) is proposed for internal modulation. The ellipse fitting technique is employed to fit the eclipse using the least squares method based on a matrix block decomposition. The pair of signals that are influenced by nonlinear factors are corrected and transformed into orthogonal signals utilizing three parameters of the ellipse. Finally, the correctness of the two improved algorithms is verified through simulations and experiments. The PGC demodulation system comprises a high dv/di VCSEL laser and a conventional cavity length F-P sensor. By comparing the demodulation performance of the PGC-Atan algorithm with that of the two improved algorithms, their effectiveness in suppressing nonlinear distortion is verified. Experimental results indicate that the two improved algorithms exhibit effective demodulation in the presence of nonlinear factors within a specific range of C values. The signal-to-noise and distortion ratio (SINAD) of demodulation result obtained from PGC-EF-Atan algorithm surpasses that of the PGC-CC-Atan algorithm by 11.602 dB, while the THD is reduced by 10.951%. Between the two improved algorithms, the PGC-EF-Atan algorithm possesses superior demodulation linearity, accuracy, and nonlinear distortion suppression performance.
- phase generated carrier demodulation/
- nonlinear distortion/
- elliptic fitting/
- fiber optic fabry-perot sensor

HTML全文

图 1经典PGC-Atan算法原理图

Figure 1.Schematic diagram of classical PGC-Atan demodulation

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图 2PGC-CC-Atan算法原理图

Figure 2.Schematic diagram of PGC-CC-Atan demodulation

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图 3PGC-EF-Atan算法原理图

Figure 3.Schematic diagram of PGC-EF-Atan demodulation

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图 4C偏离2.63 rad时三种算法的仿真结果

Figure 4.Simulation results of the three algorithms when C deviates from 2.63 rad

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图 5两种非线性因素影响下三种算法的仿真结果

Figure 5.Simulation results of the three algorithms under the influence of the two nonlinear factors

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图 6三种非线性因素影响下PGC-CC-Atan算法仿真结果

Figure 6.Simulation results of PGC-CC-Atan algorithms under the influence of the three nonlinear factors

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图 7三种非线性因素影响下PGC-EF-Atan算法仿真结果

Figure 7.Simulation results of PGC-EF-Atan algorithms under the influence of the three nonlinear factors

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图 8EFPI解调实验平台

Figure 8.EFPI demodulation experiment platform

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图 9不同C值下两种改进型算法解调结果与参考解调仪结果对比

Figure 9.Comparison between the demodulation results of the two algorithms under different C and the calibration results of the reference demodulator

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图 10原始信号波形图与频谱图。(a)波形图；(b)频谱图

Figure 10.The waveform and spectrum of the original signal. (a) Waveform; (b) Spectrum

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图 11经典PGC-Atan算法解调结果。(a)波形图；(b)频谱图

Figure 11.Demodulation results using PGC-Atan algorithm. (a) waveform; (b) spectrum

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图 12PGC-CC-Atan算法解调结果。(a)波形图；(b)频谱图

Figure 12.Demodulation results using PGC-CC-Atan algorithm. (a) Waveform; (b) Spectrum

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图 13PGC-EF-Atan算法解调结果。(a)波形图；(b)频谱图；(c)P(t)与Q(t)形成的李萨如图

Figure 13.Demodulation result of PGC-EF-Atan algorithm. (a) waveform; (b) spectrum; (c) Lissajous figure of P(t) and Q(t)

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图 14PGC-EF-Atan算法解调结果与参考解调仪标定结果对比

Figure 14.Comparison between the demodulation results of PGC-EF-Atan algorithm and the calibration results of the reference demodulator

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表 1三种解调算法的性能对比

Table 1.Performance comparison of the three demodulation algorithms

解调方法	幅值/rad	SINAD/dB	THD
PGC-Atan	1.494	13.063	21.276%
PGC-CC-Atan	0.947	15.189	12.562%
PGC-EF-Atan	0.910	26.791	1.611%

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