• Laser & Optoelectronics Progress
  • Vol. 56, Issue 1, 010602 (2019)
Shuguo Gao1, Yunpeng Liu2, Huan Li2, Yuan Tian2, Xiaozhou Fan2、*, Lu Sun1, and Lingming Meng1
Author Affiliations
  • 1 Electric Power Research Institute, State Grid Hebei Electric Power Co., Ltd., Shijiazhuang, Hebei 0 50021, China
  • 2 North China Electric Power University, Baoding, Hebei 0 71000, China
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    DOI: 10.3788/LOP56.010602 Cite this Article Set citation alerts
    Shuguo Gao, Yunpeng Liu, Huan Li, Yuan Tian, Xiaozhou Fan, Lu Sun, Lingming Meng. Brillouin Peak Fitting Algorithm Based on Correlation-LM Method[J]. Laser & Optoelectronics Progress, 2019, 56(1): 010602 Copy Citation Text show less
    Illustration of original Brillouin spectrum
    Fig. 1. Illustration of original Brillouin spectrum
    Fitted by the cross-correlation-LM method. (a) Before and (b) after removing intrinsic signals
    Fig. 2. Fitted by the cross-correlation-LM method. (a) Before and (b) after removing intrinsic signals
    Bimodal fitting.(a) Correlation-LM method; (b) bimodal fitting algorithm
    Fig. 3. Bimodal fitting.(a) Correlation-LM method; (b) bimodal fitting algorithm
    Comparison of different algorithms for fitting simulation data with the central frequency 10.75 GHz. (a) Correlation-LM method; (b) PSO method; (c) traditional LM method; (d) correlation method
    Fig. 4. Comparison of different algorithms for fitting simulation data with the central frequency 10.75 GHz. (a) Correlation-LM method; (b) PSO method; (c) traditional LM method; (d) correlation method
    Schematic of bimodal fitting. (a) Bimodal distance 0.2 GHz, second peak height of 0.4; (b) bimodal distance 0.075 GHz, second peak height of 0.7
    Fig. 5. Schematic of bimodal fitting. (a) Bimodal distance 0.2 GHz, second peak height of 0.4; (b) bimodal distance 0.075 GHz, second peak height of 0.7
    Adapted transformer windings
    Fig. 6. Adapted transformer windings
    Optical diagram of transformer winding deformation detection
    Fig. 7. Optical diagram of transformer winding deformation detection
    Comparison of experimental data fitting. (a) Correlation-LM method; (b) PSO method; (c) traditional LM method; (d) correlation method
    Fig. 8. Comparison of experimental data fitting. (a) Correlation-LM method; (b) PSO method; (c) traditional LM method; (d) correlation method
    Brillouin central frequency of original winding
    Fig. 9. Brillouin central frequency of original winding
    Comparison of the Brillouin central frequency between the deformed and original winding
    Fig. 10. Comparison of the Brillouin central frequency between the deformed and original winding
    10.70 GHz/25 dB
    Fitting methodCentralfrequency /GHzFrequencydeviation /GHzMean squareerror /GHzRuntime /s
    Traditional LM method10.7003+0.00030.03930.0215
    PSO method10.7011+0.00110.02650.0790
    Correlation method10.6998-0.00020.00510.0249
    Correlation-LM10.7003+0.00030.00370.0205
    10.75 GHz/25 dB
    Fitting methodCentralfrequency /GHzFrequencydeviation /GHzMean squareerror /GHzRuntime /s
    Traditional LM method10.7513+0.00130.03520.0843
    PSO method10.7511+0.00110.01280.0763
    Correlation method10.7423-0.00770.01020.0264
    Correlation-LM10.7510+0.00100.00320.0188
    10.80 GHz/25 dB
    Fitting methodCentralfrequency /GHzFrequencydeviation /GHzMean squareerror /GHzRuntime /s
    Traditional LM method10.7999-0.00010.04150.0222
    PSO method10.7984-0.00160.03030.0814
    Correlation method10.8029+0.00290.00840.0228
    Correlation-LM10.7999-0.00010.00570.0170
    Table 1. Comparison of evaluation index of different fitting algorithm at different central frequencies
    Shuguo Gao, Yunpeng Liu, Huan Li, Yuan Tian, Xiaozhou Fan, Lu Sun, Lingming Meng. Brillouin Peak Fitting Algorithm Based on Correlation-LM Method[J]. Laser & Optoelectronics Progress, 2019, 56(1): 010602
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