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基于互相关-LM法的布里渊峰值拟合算法

Brillouin Peak Fitting Algorithm Based on Correlation-LM Method

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摘要

基于互相关法和Levenberg-Marquardt(LM)算法, 提出了互相关-LM算法以拟合布里渊频谱的中心频率。此方法发挥互相关法无需给定初值且对噪声不敏感的优点, 将其用来寻找迭代初值, 得到精度较低结果作为初值输入LM算法中进行迭代, 最终得出布里渊散射频谱的精确信息。同时提出了新的双峰布里渊谱的拟合方法和出现双峰时的布里渊峰值选择原则。此算法有效提高了拟合精度和拟合效率, 使得单峰拟合误差在1 MHz以内, 双峰拟合误差在2 MHz以内, 拟合度达0.9988。为了检验其实用性, 将其应用于变压器绕组变形检测。对改造过的外表面敷设光纤的绕组施加两处应变, 互相关-LM算法能精确提取中心频率, 解耦出应变信息, 平行测试误差在3 MHz以内, 拟合度可达0.9964, 均方根误差约0.005, 并能实现应变的精确定位, 充分证明了此方法的优越性和实用性。

Abstract

Based on the correlation method and the Levenberg-Marquardt (LM) algorithm, this study proposes a correlation-LM algorithm for fitting the central frequency of the Brillouin spectrum. The proposed algorithm exploits the correlation method because it does not require an initial value and is insensitive to noise. Therefore, the correlation method is used to determine the iterative initial value. Inputting the initial value into the LM algorithm for iteration yields less-accurate results. Accurate information of the Brillouin scattering spectrum is finally obtained. Thus, overcoming the problem of iteration using the LM method is necessary as it has the disadvantage of being extremely sensitive to the initial value. Therefore, this study also proposes a new bimodal Brillouin spectrum fitting method and the Brillouin peak selection principle with double peaks. This algorithm can effectively improve the fitting accuracy and the fitting efficiency, making the single-peak fitting error within 1 MHz, the double-peak fitting error within 2 MHz, and the fitting degree to be 0.9988. To test the practicability of the algorithm, it is used to detect the transformer winding deformation. Two strains are applied to the modified winding. The correlation-LM algorithm could extract the central frequency accurately and decouple the strain information. The parallel test error is within 3 MHz, the fitting degree reaches 0.9964, and the strain is accurately located, thereby proving the superiority and practicality of this method.

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中图分类号:TN247

DOI:10.3788/lop56.010602

所属栏目:光纤光学与光通信

基金项目:国家电网总部科技项目 (5204BB1600CQ)、中央高校基本科研业务费专项资金项目(2016XS93, 2017MS102)

收稿日期:2018-05-21

修改稿日期:2018-06-23

网络出版日期:2018-07-18

作者单位    点击查看

高树国:国网河北省电力有限公司电力科学研究院, 河北 石家庄 050021
刘云鹏:华北电力大学, 河北 保定 071000
李欢:华北电力大学, 河北 保定 071000
田源:华北电力大学, 河北 保定 071000
范晓舟:华北电力大学, 河北 保定 071000
孙路:国网河北省电力有限公司电力科学研究院, 河北 石家庄 050021
孟令明:国网河北省电力有限公司电力科学研究院, 河北 石家庄 050021

联系人作者:范晓舟(fxz@ncepu.edu.cn)

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引用该论文

Gao Shuguo,Liu Yunpeng,Li Huan,Tian Yuan,Fan Xiaozhou,Sun Lu,Meng Lingming. Brillouin Peak Fitting Algorithm Based on Correlation-LM Method[J]. Laser & Optoelectronics Progress, 2019, 56(1): 010602

高树国,刘云鹏,李欢,田源,范晓舟,孙路,孟令明. 基于互相关-LM法的布里渊峰值拟合算法[J]. 激光与光电子学进展, 2019, 56(1): 010602

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