Review of methods for solving inverse problems in identifying permanent magnets of executive elements in dynamic devices

Balaban, Anna; Bakhvalov, Yu. A.; Denisov, P. A.

doi:10.1051/matecconf/201822604022

Cited by 5 publications

(1 citation statement)

References 16 publications

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“…While it is relatively easy to compute the magnetic field generated by a permanent magnet in a given position in space, the inverse problem-i.e., determining the magnet position starting from a magnetic field measurement-is often mathematically ill-posed and computationally demanding [19,20]. One of the biggest challenges of MPO system design is to solve the inverse problem within milliseconds to enable real-time measurement and interaction.…”

Section: Read-outmentioning

confidence: 99%

Computationally Efficient Magnetic Position System Calibration

Lumetti

Malagò

Spitzer

et al. 2020

7th International Electronic Conference on Sensors and Applications

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Properties such as high resolution, contactless (and thus wear-free) measurement, low power consumption, robustness against temperature and contamination as well as low cost make magnetic position and orientation systems appealing for a large number of industrial applications. Nevertheless, one major practical challenge is their sensitivity to fabrication tolerances. In this work, we propose a novel method for magnetic position system calibration based on the analytical computation of the magnetic field and on the application of an evolutionary optimization algorithm. This scheme enables the calibration of more than 10 degrees of freedom within few seconds on standard quad-core ×86 processors and is demonstrated by calibrating a highly cost-efficient 3D-printed 3-axis magnetic joystick.

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Section: Read-outmentioning

confidence: 99%

Computationally Efficient Magnetic Position System Calibration

Lumetti

Malagò

Spitzer

et al. 2020

7th International Electronic Conference on Sensors and Applications

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Moment model of an uniformly magnetized permanent magnet based on point sources of the field

Bakhvalov

Гречихин

2019

J. Phys.: Conf. Ser.

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Permanent magnets are widely used in various technical devices. Mathematical models of magnetic fields of permanent magnets are considered to solve the problems of analysis and synthesis of such devices. The paper proposes a third model, based on the use of point sources of a magnetic field in addition to the two known models of uniformly magnetized permanent magnets (current and charge models). Each point source is characterized by a vector magnetic moment. The features of the model for permanent magnets of various shapes are considered. The advantage of the new model is to reduce the computation time of the magnetic field parameters by reducing the dimensionality of the modeling problem.

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Review of Methods for Solving Inverse Problems of Identification of the Magnetization of Permanent Magnets in Electrical Devices

Bakhvalov

Balaban

Гречихин

et al. 2021

IOP Conf. Ser.: Mater. Sci. Eng.

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The article shows the need for identification of permanent magnets by studying the distribution of magnetization over their volume by solving inverse problems. The main approaches to solving inverse problems are considered: minimization of some functional and multiple solution of the direct problem of calculating the magnetic field; solution of an ill-posed problem and determination, using regularization methods, of a pseudosolution that is stable to small perturbations. An overview of the work performed aimed at improving the theoretical and practical approaches to solving these problems is given. New mathematical models and methods for calculating the magnetic field have been developed, which provide a decrease in the number of unknown parameters, an improvement in stability and a decrease in time consumption in the problems of identifying the magnetization of permanent magnets in electrical devices. The influence of the experimental data error on the solution result is estimated. Examples of solving test problems and experimental studies are given, which have shown the effectiveness of the proposed methods and approaches. The results obtained can also be used to solve direct and inverse problems of electrical engineering.

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Review of methods for solving inverse problems in identifying permanent magnets of executive elements in dynamic devices

Cited by 5 publications

References 16 publications

Computationally Efficient Magnetic Position System Calibration

Computationally Efficient Magnetic Position System Calibration

Moment model of an uniformly magnetized permanent magnet based on point sources of the field

Review of Methods for Solving Inverse Problems of Identification of the Magnetization of Permanent Magnets in Electrical Devices

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