Three-step scalar calibration method for cross array of triaxial magnetometer
A technology of cross array and calibration method, which is applied in the direction of measuring devices, measuring electrical variables, instruments, etc., can solve the problems of large calibration error of error parameters, and achieve the effect of high calibration accuracy and low calibration cost
Pending Publication Date: 2022-03-11
HARBIN ENG UNIV
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The Academy of Naval Aeronautical Engineering established the carrier magnetic interference model of the tetrahedral magnetic gradient tensor system, and compensated the carrier magnetic interference through the constraints between the magnetic gradient tensor elements (Yu Zhentao, Lu Junwei, Bi Bo, Zhou Jing. Tetrahedral magnetic gradient Carrier magnetic interference compensation method for tensor system. Acta Physica Sinica, 2014, 63(11): 110702), from the simulation results, it can be seen that the calibration error of the algorithm to the error parameters is relatively large
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[0107] Table 1 The true value of the error of the three-axis magnetometer
[0108]
[0109] The difference between the scale factor of the three-axis magnetometer and 1 is defined as the scale factor error. The true value of the error value of the three-axis fluxgate magnetometer cross array used in the simulation experiment is shown in Table 1. The scale factor error and zero bias are the values of the x-axis, y-axis and z-axis in turn, and the orthogonal error angle is in turn θ j , and Ψ j , the alignment error is α j , β j and gamma j , j≠1, the measurement noise of the scalar magnetometer is 1nT.
[0110] The three components of the calibrated geomagnetic field are 24.1239×10 3 nT, -4.6274×10 3 nT and 49.7353×10 3 nT, under the uniform geomagnetic field, place the cross array on the three-axis non-magnetic turntable, randomly rotate the turntable to change the attitude of the three-axis fluxgate magnetometer, and collect four three-axis fluxgate magnetomete...
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The invention belongs to the technical field of magnetic field measurement, and particularly relates to a three-step scalar calibration method for a three-axis magnetometer cross array. The method comprises the following steps: solving a constraint optimization problem of ellipsoid fitting by using optimization algorithms such as sequential quadratic programming to obtain a zero offset B0j; solving qkj by using a linear least square method, calculating pkj by using the qkj, and then calculating a scale factor and a non-orthogonal error angle by using the pkj; and obtaining B'j according to the zero offset, the scale factor and the non-orthogonal error angle calculated in the previous two steps, and solving alpha l, beta l and gamma l by using necessary conditions of extreme values. According to the invention, for the cross array of the three-axis magnetometer, all scale factors, non-orthogonal error angles, zero offsets and alignment errors of the three-axis magnetometer can be calibrated. The first two calibration algorithms of the calibration method do not have mathematical approximation, so that the calibration precision is high, and compared with a vector calibration method, a high-precision three-dimensional Helmholtz coil does not need to be used, so that the calibration cost is relatively low.
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technical field [0001] The invention belongs to the technical field of magnetic field measurement, and in particular relates to a three-step scalar calibration method for a three-axis magnetometer cross array. Background technique [0002] The magnetic gradient tensor is the spatial gradient of the magnetic anomaly vector. Different from the total field and the total field gradient, it has its unique advantages: it has more independent components, is less affected by the inclination and declination of the geomagnetic field, and its characteristic root and tensor invariants can better invert field source parameters and locate and track field sources. Therefore, magnetic gradient tensor technology has important application value in resource exploration, military affairs, environment and other fields. [0003] Since the physical effects caused by the magnetic gradient tensor are few, several three-axis magnetometers are combined into an array at present, and the magnetic gradi...
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Login to View More IPC IPC(8): G01R35/00
CPCG01R35/00
Inventor 黄玉武立华陈东亮吴迪朱传龙
Owner HARBIN ENG UNIV