A Closed-Form Formula for Magnetic Dipole Localization by Measurement of Its Magnetic Field and Spatial Gradients

Nara, Takaaki; Suzuki, Shintaro; Ando, Shigeru

doi:10.1109/tmag.2006.879151

Cited by 228 publications

(126 citation statements)

References 7 publications

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“…Nara's method (Nara et al, 2006) is a simple linear equation that computes the position vector in the field of an ideal dipole using a single-point measurement of magnetic vector field, and its gradient tensor at that position. The advantage of Nara's method is that it provides an exact solution for the position.…”

Section: Nara's Methodsmentioning

confidence: 99%

Precision Geolocation of Active Electromagnetic Sensors Using Stationary Magnetic Sensors

Billings¹,

Blay²,

Leslie³

et al. 2009

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the burden, to the Department of Defense, Executive Services and Communications Directorate (0704-0188). Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ORGANIZATION. 1. REPORT DATE (DD-MM-YYYY)2. REPORT TYPE 3. DATES COVERED (From -To) 4. TITLE AND SUBTITLE 5a. CONTRACT NUMBER 5b. GRANT NUMBER 5c. PROGRAM ELEMENT NUMBER 5d. PROJECT NUMBER 5e. TASK NUMBER 5f. WORK UNIT NUMBER The objective of this project was to conduct a proof-of-principle demonstration that a single, fixed gradiometer or vector magnetometer could track an active EM sensor at sub-centimeter position and sub-degree accuracy over short baselines. We have shown that the concept of locating a UXO cart via the measurement of its transmitter signal is sound. Further work is warranted to develop a more precise system. Some of the areas that we recommend pursuing are: Develop and trial a refined model of the transmitter source for inversion optimization; investigate the potential of other sensors; investigate the observed unexpected limitation in both the fluxgate and SQUID sensor systems' signal to noise ratio; determine the level of accuracy obtainable when the cart is in motion; Develop and trial improved signal processing and inversion algorithms; and investigate the feasibility of using the technique within the marine environment. AUTHOR(S) PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) 8. PERFORMING ORGANIZATION REPORT NUMBER SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSOR/MONITOR'S ACRONYM(S) SPONSOR/MONITOR'S REPORT NUMBER(S)12Active EM sensor tracking, fixed gradiometer, vector magnetometer, UXO cart tracking U UU 139Dr. Stephen Billings 541-552-5185 ResetPrecision Geolocation of Active Electromagnetic MM-1643 Sensors Using Stationary Magnetic SensorsSeptember 2009 ii EXECUTIVE SUMMARYThe objective of this project was to conduct a proof-of-principle demonstration that a single, fixed gradiometer or vector magnetometer could track an active EM sensor at sub-centimeter position and sub-degree accuracy over short baselines (< 15 m for cued interrogation) and at ~10 cm position accuracy over longer baselines (up to 50 m for application in wooded terrain or underwater). To summarize the project:• A full-tensor magnetic gradiometer consisting of 4, 3-axis fluxgates was built to test the feasibility of the concept.• A trial was performed with an EM63 UXO cart, a GPS receiver and the gr...

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Section: Nara's Methodsmentioning

confidence: 99%

Precision Geolocation of Active Electromagnetic Sensors Using Stationary Magnetic Sensors

Billings¹,

Blay²,

Leslie³

et al. 2009

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“…The field in the x direction vanish is along the z axis. In this axis, measurement is performed with the Hall sensor, where the component perpendicular to the field can be expressed as [6][7][8]:…”

Section: Fig 4 Field Magnetic Dipolesmentioning

confidence: 99%

Sensor Hall Effect on Analyses Mechanical Stress

Borges¹,

Filho²,

Belo³

2015

JMEA

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Abstract:Measuring the magnetic field is a common practice in industrial processes. We can cite the voltage measurements through PTs (potential transformers). This is a classic example of inductive field measuring, predicting to be measured quantity is of oscillatory nature, with the circuit instrumentation scaled and calibrated for a typical frequency of 50/60 Hz. For a long time, only the binary information: "this field" and "missing field" is needed. For example, only with this information can we identify the frequency of the rotating shaft. Currently, new technologies employ magnetic sensors for measuring positions (distances, angles, etc.) from the intensity of the magnetic field. Inductive sensors are inefficient on measurements of static fields, such as magnets, opening spaces for new linear Hall effect sensors, and static which deal with these situations without difficulty. The present study examines the behavior of the Hall sensor, making the measurement of the intensity of the static magnetic field of the rotating magnet and the same, verifying the effect of the speed at which the magnet passes the sensor in some way alter the measurement. The results are favorable manda and the versatility of these sensors in many different applications.

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“…The problem of finding the magnetic signature of any Equipment Under Test (EUT) is crucial in many applications and has been thoroughly discussed [1][2][3][4][5]. Magnetic cleanliness is one of the most important applications employing the magnetic behavior of EUTs.…”

Section: Introductionmentioning

confidence: 99%

“…The predominant approach employs the development of multiple magnetic dipole models (MDMs), which emulates the magnetic field of EUTs. Based on near-field measurements in coil facilities and employing deterministic [1][2][3][4][5] or stochastic methods, the parameters of the equivalent MDM (position and magnetic torque) may be estimated. The MDM technique has been employed in many applications such as near field analysis in the antennas field [10], electrocardiography simulation [11] and the representation of electromagnetic emissions of an Integrated Circuit [12].…”

Section: Introductionmentioning

confidence: 99%

A Method of Predicting Composite Magnetic Sources Employing Particle Swarm Optimization

Spantideas¹,

Kapsalis²,

Kakarakis³

et al. 2014

PIER M

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Abstract-In this paper, the problem of predicting the parameters (positions and magnetic moments) of an Equipment Under Test (EUT) composed of a magnetic dipole and quadrupole is studied. Firstly, a multiple magnetic dipole and quadrupole model (MDQM) is developed to simulate the magnetic behavior of the EUT. The parameters of the model are calculated using the values of the near field measurements applying the Particle Swarm Optimization (PSO) algorithm. For the evaluation of the method, extended simulations were conducted, producing theoretical values and distorting them with noise, and then the developed algorithm was used to create the proper MDQM. As an evaluation criterion, the relative difference between the theoretical and the MDQM's magnetic field is considered.

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A Closed-Form Formula for Magnetic Dipole Localization by Measurement of Its Magnetic Field and Spatial Gradients

Cited by 228 publications

References 7 publications

Precision Geolocation of Active Electromagnetic Sensors Using Stationary Magnetic Sensors

Precision Geolocation of Active Electromagnetic Sensors Using Stationary Magnetic Sensors

Sensor Hall Effect on Analyses Mechanical Stress

A Method of Predicting Composite Magnetic Sources Employing Particle Swarm Optimization

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