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Volume 14
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10.3390/app14198623
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Article

Analytic Hierarchy Process (AHP)-Based Evaluation of Extremely-Low-Frequency Magnetic Field Contribution Rates

by
Hongyu Fu
1,
Mengchun Pan
1,
Qi Zhang
1,
Jiafei Hu
1,
Feng Guan
2,
Yujing Xu
1,
Bo Huang
1,
Haibin Li
1,
Dixiang Chen
1 and
Zhongyan Liu
1,*
1
College of Intelligent Science, National University of Defense Technology, Changsha 410073, China
2
Naval Research Institute, Beijing 100161, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2024, 14(19), 8623; https://doi.org/10.3390/app14198623
Submission received: 11 July 2024 / Revised: 18 September 2024 / Accepted: 19 September 2024 / Published: 25 September 2024
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Abstract

The extremely-low-frequency (ELF) magnetic fields of submarines serve as key characteristics for target detection, with their formation mechanisms being complex and diverse. Effectively manipulating a submarine to reduce its magnetic signature is crucial for enhancing its magnetic stealth capabilities. However, current research on the impact of various causative factors is insufficient. This study proposes a contribution rate assessment method based on the Analytic Hierarchy Process (AHP) model, aiming to provide a theoretical basis for effective manipulation. Initially, a thorough analysis of the threat causes of a submarine’s ELF magnetic fields is conducted, and a corresponding hierarchical threat structure model is established. Subsequently, magnetic field signal characteristics generated by different causes are obtained through simulation, and threat matrices and characteristic matrices are constructed. Finally, the contribution rates of different causative magnetic fields to the total magnetic field are calculated, and the simulation results validate the effectiveness of the method. At the stern detection line, the contribution rate of the wake magnetic field is the highest, reaching 0.7649. Along the radial detection line, the contribution rate of the shaft frequency magnetic field is the highest and gradually decays, eventually falling below the wake magnetic field at 150 m and remaining at an approximately 0.5 contribution rate. This study calculates the contribution rates under different operational conditions and detection scenarios, laying a technical foundation for research on the comprehensive active control strategies of submarine ELF magnetic fields in different scenarios.
Keywords: extremely-low-frequency magnetic field; contribution rate assessment; analytical hierarchy process (AHP); feature extraction extremely-low-frequency magnetic field; contribution rate assessment; analytical hierarchy process (AHP); feature extraction

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MDPI and ACS Style

Fu, H.; Pan, M.; Zhang, Q.; Hu, J.; Guan, F.; Xu, Y.; Huang, B.; Li, H.; Chen, D.; Liu, Z. Analytic Hierarchy Process (AHP)-Based Evaluation of Extremely-Low-Frequency Magnetic Field Contribution Rates. Appl. Sci. 2024, 14, 8623. https://doi.org/10.3390/app14198623

AMA Style

Fu H, Pan M, Zhang Q, Hu J, Guan F, Xu Y, Huang B, Li H, Chen D, Liu Z. Analytic Hierarchy Process (AHP)-Based Evaluation of Extremely-Low-Frequency Magnetic Field Contribution Rates. Applied Sciences. 2024; 14(19):8623. https://doi.org/10.3390/app14198623

Chicago/Turabian Style

Fu, Hongyu, Mengchun Pan, Qi Zhang, Jiafei Hu, Feng Guan, Yujing Xu, Bo Huang, Haibin Li, Dixiang Chen, and Zhongyan Liu. 2024. "Analytic Hierarchy Process (AHP)-Based Evaluation of Extremely-Low-Frequency Magnetic Field Contribution Rates" Applied Sciences 14, no. 19: 8623. https://doi.org/10.3390/app14198623

APA Style

Fu, H., Pan, M., Zhang, Q., Hu, J., Guan, F., Xu, Y., Huang, B., Li, H., Chen, D., & Liu, Z. (2024). Analytic Hierarchy Process (AHP)-Based Evaluation of Extremely-Low-Frequency Magnetic Field Contribution Rates. Applied Sciences, 14(19), 8623. https://doi.org/10.3390/app14198623

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