Defect reconstruction from magnetic flux leakage measurements employing modified cuckoo search algorithm

Daqian Zhang; Chen Huang; Jiyou Fei; Daqian Zhang; Chen Huang; Jiyou Fei

doi:10.3934/mbe.2021099

Mathematical Biosciences and Engineering

2021, Volume 18, Issue 2: 1898-1925. doi: 10.3934/mbe.2021099

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Defect reconstruction from magnetic flux leakage measurements employing modified cuckoo search algorithm

1.
College of Aerospace Engineering, Shenyang Aerospace University, Shenyang 110136, China
2.
College of Civil Aviation, Shenyang Aerospace University, Shenyang 110136, China
3.
Shenyang Academy of Instrumentation Science, Shenyang 110043, China
4.
College of Mechanical Engineering, Dalian Jiaotong University, Dalian 116028, China

Received: 13 December 2020 Accepted: 08 February 2021 Published: 22 February 2021

Accurate and efficient estimation for defect profile of magnetic flux leakage (MFL) signals is important for nondestructive evaluation in industry. To improve the accuracy of defect profile reconstruction, an improved reconstruction method based on modified cuckoo search (CS), called MCS, is proposed in this paper. Firstly, a novel single-dimension updating evolution strategy is proposed to avoid the interference between multiple dimensions, which can make full use of the appropriate nest position in the historical search. Secondly, an adaptive multi-strategy difference evolution is introduced into the evolution process to improve the diversity and efficiency of CS algorithm. The proportion factor of each strategy in multi-strategy difference evolution is adjusted dynamically according to the value of the objective fitness. Finally, various MFL signals are selected to verify the effectiveness of the proposed MCS algorithm. The experiment results illustrate that the proposed method has high performance on the quality of the solution and robustness for noise.
- defect profile reconstruction,
- cuckoo search,
- single-dimension,
- multi-strategy difference evolution,
- MFL signals
Citation: Daqian Zhang, Chen Huang, Jiyou Fei. Defect reconstruction from magnetic flux leakage measurements employing modified cuckoo search algorithm[J]. Mathematical Biosciences and Engineering, 2021, 18(2): 1898-1925. doi: 10.3934/mbe.2021099

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Abstract

Accurate and efficient estimation for defect profile of magnetic flux leakage (MFL) signals is important for nondestructive evaluation in industry. To improve the accuracy of defect profile reconstruction, an improved reconstruction method based on modified cuckoo search (CS), called MCS, is proposed in this paper. Firstly, a novel single-dimension updating evolution strategy is proposed to avoid the interference between multiple dimensions, which can make full use of the appropriate nest position in the historical search. Secondly, an adaptive multi-strategy difference evolution is introduced into the evolution process to improve the diversity and efficiency of CS algorithm. The proportion factor of each strategy in multi-strategy difference evolution is adjusted dynamically according to the value of the objective fitness. Finally, various MFL signals are selected to verify the effectiveness of the proposed MCS algorithm. The experiment results illustrate that the proposed method has high performance on the quality of the solution and robustness for noise.

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