Estimation of Ship’s Magnetic Signature Using Multi-Dipole Modeling Method

Sheinker, Arie; Ginzburg, Boris; Salomonski, Nizan; Yaniv, A.; Persky, Eylon

doi:10.1109/tmag.2021.3062998

Cited by 13 publications

(13 citation statements)

References 12 publications

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“…Once the location of the magnetic source has been determined, the parameters can be identified based on the magnetic field measurements. The equivalent source models of the magnetic target magnetic field have many models, such as the single magnetic dipole model [1][2][3][4], magnetic monopole model [5], magnetic dipole array model, multi-magnetic dipole model [6][7][8], mono-ellipsoid model, ellipsoid and magnetic dipoles array hybrid model [9], ellipsoid harmonic model [10], and so on. The single magnetic dipole model has few unknown parameters and a small number of calculations, which are suitable for far-field conditions, but it cannot accurately simulate the target magnetic field in the near field.…”

Section: Introductionmentioning

confidence: 99%

“…Jeung Giwoo proposed an effective method to determine the underwater magnetic field anomaly caused by the residual magnetization of ferromagnetic hulls by using magnetic dipole modeling techniques combined with material sensitivity analysis [11]. Sheinker et al modeled the magnetic field using 55 magnetic dipoles evenly distributed on the surface of the ship mode [6]. Jakubiuk et al used the Zcomponent of the magnetic target magnetic field to invert the parameters of the non-equally spaced magnetic dipole array model, including the magnetic dipole position, the magnetic dipole magnetic moment, etc, and considered the joint effect of fixed magnetic moment and induced magnetic moment [12].…”

Section: Introductionmentioning

confidence: 99%

“…The key to solving the inverse problem lies in how to deal with the ill-posed equations and the problem of data perturbation [13]. The classical method of solving the inversion problem is the generalized inverse solution [14], stepwise regression method [15] and Levenberg-Marquardt algorithm [12], NSGA-II algorithm [16], regularization method [17], the method based on Bayesian reasoning [18,19], machine learning methods [6,14,20]. Among them, the regularization method has received extensive attention and application in many fields, including CGLS algorithm [21,22], ADMM algorithm [23,24], Tikhonov algorithm [5], LASSO algorithm [25], LARS algorithm [26], etc.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A CGLS-based method for solving magnetic moments of hybrid-model magnetic targets

Lu,

Zhang,

Dai

2024

Meas. Sci. Technol.

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In order to solve the problem of magnetic moment estimation of magnetic targets, the inverse problem of magnetic moment estimation was constructed based on the hybrid model of ellipsoid and magnetic dipole array. In order to solve the ill-posed problem of the magnetic moment estimation equations, the method was designed to estimate the magnetic moment parameters of the ellipsoid and magnetic dipole array, and the improved discrepancy principle and the maximum chi-square distribution stop criterion were introduced to improve the semi-convergence behavior of the conjugate gradient least squares method. Through simulation examples of magnetic target magnetic moment estimation and ship model measurement data, the performance of two conjugate gradient least squares methods, Tikhonov algorithm and stepwise regression method, was compared and analyzed from four aspects: relative error of magnetic moment estimation, relative error of magnetic field fitting, relative error of magnetic field extrapolation, and computational time complexity. The conjugate gradient least squares method has the advantages of high accuracy of magnetic moment estimation, high immunity of magnetic moment estimation to interference, high accuracy of magnetic field fitting and extrapolation, and low computational time complexity.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A CGLS-based method for solving magnetic moments of hybrid-model magnetic targets

Lu,

Zhang,

Dai

2024

Meas. Sci. Technol.

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“…The multi-dipole model of the ship allows to separate its signatures related with permanent and induced magnetization 18 , 22 – 27 , 33 . This separation can be obtained using an optimization method which compares the ship signatures measured or calculated using the FEM method with those obtained from the multi-dipole model based on the magnetic data along the PKS lines in cardinal ship courses for two different values of the vertical external magnetic field 28 .…”

Section: Introductionmentioning

confidence: 99%

Minimization of a ship's magnetic signature under external field conditions using a multi-dipole model

Woloszyn,

Tarnawski

2024

Sci Rep

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The paper addresses the innovative issue of minimizing the ship's magnetic signature under any external field conditions, i.e., for arbitrary values of ambient field modulus and magnetic inclination. Varying values of the external field, depending on the current geographical location, affect only the induced part of ship's magnetization. A practical problem in minimizing the ship signature is separating permanent magnetization from induced magnetization. When the ship position changes, a signature measurement has to be made under new magnetic field conditions to update the currents in the coils. This is impractical or even difficult to do (due to the need for a measuring ground), so there is a need to predict the ship's magnetization value in arbitrary geographical location conditions based on the reference signature determined on the measuring ground. In particular, the model predicting the signatures at a new geographical location must be able to separate the two types of magnetization, as permanent magnetization is independent of external conditions. In this paper, a FEM model of the vessel is first embedded in an external field and permanent magnetization is simulated using DC coils placed inside the model. Then, using the previously developed rules for data acquisition and determination of model parameters, a multi-dipole model is synthesized in which the induced and permanent parts are separated. The multi-dipole model thus developed has been successfully confronted with the initial model in FEM environment. The separation of permanent and induced magnetization allows the latter to be scaled according to new values of the external field. In the paper, the situation of determining a signature at one geographical position and its projection onto two other positions is analyzed. Having determined the signature with a high degree of accuracy anywhere in the world, it is possible to perform classical signature minimization by determining DC currents in coils placed inside the ship's hull. The paper also analyzes the effectiveness of ship's signature minimization and the influence of ship's course on the signature value. The advantage of the method presented in this paper is an integrated approach to the issue of scaling and minimization of ship magnetic signature, which has not been presented in the literature on such a scale before.

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“…Jeung Giwoo proposed an effective method to determine the underwater magnetic field anomaly caused by the residual magnetization of ferromagnetic hulls by using magnetic dipole modeling techniques combined with material sensitivity analysis [16] . A. Sheinker modeled the magnetic field using 55 magnetic dipoles evenly distributed on the surface of the ship model [11] . Kazimierz Jakubiuk used the Zcomponent of the ship's magnetic field to invert the parameters of the non-equally spaced magnetic dipole array model, including the position of the magnetic dipole, the magnetic dipole magnetic moment, etc., and considered the joint effect of fixed magnetic moment and induced magnetic moment [17] .…”

Section: Introductionmentioning

confidence: 99%

Research on the applicability of regularization methods in ship magnetic field modeling based on magnetic dipole arrays

LU,

Zhang

2023

Preprint

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In order to solve the problem of ship magnetic field modeling, a magnetic dipole array model was established, a modeling inversion equation system was constructed, and the degree of sickness of the solved equation system under different numbers of magnetic dipoles was quantitatively analyzed based on the coefficient matrix conditional number. In order to solve the problem of the pathological system of magnetic field modeling equations, a regularization method based on the conjugate gradient least squares method was designed to invert the magnetic moment parameters of the magnetic dipole. In order to analyze the applicability of the regularization method in magnetic field modeling inversion, the modeling accuracy, modeling robustness, calculation time and other metrics are defined. A detailed test of the ship model was designed, and the magnetic field passing characteristics of the two types of ship models at different positive and horizontal conditions at two depths were measured. Under the condition of no interference and interference, the conjugate gradient least squares method is used to invert the magnetic field model, and the numerical test analysis shows that the conjugate gradient least squares method has higher applicability than the generalized inverse solution method and the stepwise regression method. Under the condition of interference, the relative error of magnetic field fitting of the array model with 15 magnetic dipoles is 0.1537, and the relative error of magnetic field extrapolation is 0.0868.

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Estimation of Ship’s Magnetic Signature Using Multi-Dipole Modeling Method

Cited by 13 publications

References 12 publications

A CGLS-based method for solving magnetic moments of hybrid-model magnetic targets

A CGLS-based method for solving magnetic moments of hybrid-model magnetic targets

Minimization of a ship's magnetic signature under external field conditions using a multi-dipole model

Research on the applicability of regularization methods in ship magnetic field modeling based on magnetic dipole arrays

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