A New Magnetic Target Localization Method Based on Two-Point Magnetic Gradient Tensor

Liu, Gaigai; Zhang, Yingzi; Wang, Chen; Li, Qiang; Li, Fei; Liu, Wenyi

doi:10.3390/rs14236088

Cited by 10 publications

(5 citation statements)

References 33 publications

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“…A Cartesian coordinate system is established with the magnetic target, having a magnetic moment vector → M of (0, 0, 10,000) A•m 2 as the origin. For convenience, most simulation experiments on MAD are performed on a single measurement point or a straight-line measurement trajectory [2]. However, the results obtained this way are one-sided and unconvincing.…”

Section: Simulation 31 Determination Of Optimal Array Structurementioning

confidence: 99%

“…The induced magnetic field generated by a ferromagnetic target is superimposed on the geomagnetic field, causing abnormal geomagnetic distribution in the space around the target. By measuring the magnetic anomaly information and performing inversion, the position and magnetic moment characteristics of the target can be determined [1,2]. Magnetic anomaly detection (MAD) technology is an excellent passive positioning technology.…”

Section: Introductionmentioning

confidence: 99%

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Structural Design and Parameter Optimization of Magnetic Gradient Tensor Measurement System

Liu,

Zhang,

Liu

2024

Sensors

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Magnetic anomaly detection (MAD) technology based on the magnetic gradient tensor (MGT) has broad application prospects in fields such as unexploded ordnance detection and mineral exploration. The difference approximation method currently employed in the MGT measurement system introduces measurement errors. Designing reasonable geometric structures and configuring optimal structural parameters can effectively reduce measurement errors. Based on research into differential MGT measurement, this paper proposes three simplified planar MGT measurement structures and provides the differential measurement matrix. The factors that affect the design of the baseline distance of the MGT measurement system are also theoretically analyzed. Then, using the magnetic dipole model, the error analysis of the MGT measurement structures is carried out. The results demonstrate that the planar cross-shaped structure is optimal, with the smallest measurement error, only 3.15 × 10−10 T/m. Furthermore, employing the control variable method, the impact of sensor resolution constraints, noise level, target magnetic moment, and detection distance on the design of the optimal baseline distance of the MGT measurement system is simulated and verified. The results indicate that the smaller the target magnetic moment, the farther the detection distance, the lower the magnetometer resolution, the greater the noise, and the greater the baseline distance required. These conclusions provide reference and guidance for the construction of the MGT measurement system based on triaxial magnetometers.

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Section: Simulation 31 Determination Of Optimal Array Structurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Structural Design and Parameter Optimization of Magnetic Gradient Tensor Measurement System

Liu,

Zhang,

Liu

2024

Sensors

Self Cite

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“…In addition, some researchers have also studied multi-point measurement based on the principle of single-point magnetic gradient tensor positioning. Liu developed a two-point positioning method based on a cross-shaped tensor measurement system [20,21]. Although the simulation results showed a high positioning success rate, this level of success was not achieved experimentally.…”

Section: Introductionmentioning

confidence: 99%

Magnetic target nonlinear positioning method based on planar regular octagon tensor system

Chen,

Li,

Zhang

et al. 2024

Meas. Sci. Technol.

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The magnetic target location technology based on the principle of magnetic gradient tensor has broad engineering application prospects. However, commonly used target positioning methods are easily interfered with by the geomagnetic environment. We proposed a magnetic target nonlinear positioning method to achieve precise localization of magnetic objects. An ellipsoid fitting method based on the total least square algorithm is proposed to correct the measurement system’s magnetic interference and array error. The results show that the algorithm can reduce the root mean square error of the total magnetic field strength by 93.05% to 0.1007 uT. The tensor components are all limited to 100 nT m−1. Then, a target positioning function is constructed with the magnetic moment information introduced as a constraint term, and the location of the magnetic target is optimally calculated using the Levenberg–Marquardt algorithm. The field experimental results indicate when the magnetic targets are located at (5,0,0) and (10,−5,0), the positioning errors are 5.11% and 6.62%. This technology can also achieve high-precision path tracking of magnetic targets.

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“…To overcome issues in single-point localization methods, several scholars proposed corresponding improvement methods [13][14][15]. Typically, the approach involves not directly utilizing the magnetic field vector term from the original Nara algorithm.…”

Section: Introductionmentioning

confidence: 99%

Two-Point Localization Algorithm of a Magnetic Target Based on Tensor Geometric Invariant

Chi,

Wang,

Tao

et al. 2024

Sensors

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Currently, magnetic gradient tensor-based localization methods face challenges such as significant errors in geomagnetic field estimation, susceptibility to local optima in optimization algorithms, and inefficient performance. In addressing these issues, this article propose a two-point localization method under the constraint of overlaying geometric invariants. This method initially establishes the relationship between the target position and the magnetic gradient tensor by substituting an intermediate variable for the magnetic moment. Exploiting the property of the eigenvector corresponding to the minimum absolute eigenvalue being perpendicular to the target position vector, this constraint is superimposed to formulate a nonlinear system of equations of the target’s position. In the process of determining the target position, the Nara method is employed for obtaining the initial values, followed by the utilization of the Levenberg–Marquardt algorithm to derive a precise solution. Experimental validation through both simulations and experiments confirms the effectiveness of the proposed method. The results demonstrate its capability to overcome the challenges faced by a single-point localization method in the presence of some errors in geomagnetic field estimation. In comparison to traditional two-point localization methods, the proposed method exhibits the highest precision. The localization outcomes under different noise conditions underscore the robust noise resistance and resilience of the proposed method.

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A New Magnetic Target Localization Method Based on Two-Point Magnetic Gradient Tensor

Cited by 10 publications

References 33 publications

Structural Design and Parameter Optimization of Magnetic Gradient Tensor Measurement System

Structural Design and Parameter Optimization of Magnetic Gradient Tensor Measurement System

Magnetic target nonlinear positioning method based on planar regular octagon tensor system

Two-Point Localization Algorithm of a Magnetic Target Based on Tensor Geometric Invariant

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