A magneto-mechanical model for rotating-coil magnetometers

Sorti, Stefano; Petrone, Carlo; Russenschuck, Stephan; Braghin, Francesco

doi:10.1016/j.nima.2020.164599

Cited by 5 publications

(10 citation statements)

References 15 publications

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“…The 3D finite-element method (FEM) [8] is adopted to describe rotating-coil shafts and their supporting structures. The two parts are modelled in different frames and coupled as described in the next section.…”

Section: The Magneto-mechanical Modelmentioning

confidence: 99%

“…where , and are the mass, stiffness, and damping matrices of the system. Damping is characterised experimentally as modal damping [7], [8], and accounts for external forces acting on the system. These include gravity, unbalancing, and vibration of moving parts.…”

Section: The Mechanical Modelmentioning

confidence: 99%

“…The proposed model was used to design the measurement system, as described in [8]. A brief recap of the design considerations is given before presenting the model of the final system.…”

Section: The Measurement System Reviewmentioning

confidence: 99%

“…An analytical model for the mechanical description of rotating-coils was proposed in [7]. This model can predict the ABSTRACT Rotating-coil magnetometers are among the most common and most accurate transducers for measuring the integral magnetic-field harmonics in accelerator magnets.…”

Section: Introductionmentioning

confidence: 99%

“…effect of static coil deformations, coil-axis to magnet alignment tolerances, and vibration modes on the measured field harmonics. The model was then expanded in a finite-element formulation (FEM) and applied to the design of a rotating-coil bench in [8]. This paper proposes a further refinement of the model, applied to the metrological characterisation of the designed rotating-coil system.…”

Section: Introductionmentioning

confidence: 99%

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Metrological characterisation of rotating-coil magnetometer systems

et al. 2021

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Rotating-coil magnetometers are among the most common and most accurate transducers for measuring the integral magnetic-field harmonics in accelerator magnets. The measurement uncertainty depends on the mechanical properties of the shafts, bearings, drive systems, and supports. Therefore, rotating coils require a careful analysis of the mechanical phenomena (static and dynamic) affecting the measurements, both in the design and in operation phases. The design phase involves the estimation of worst-case scenarios in terms of mechanical disturbances, while the operation phase reveals the actual mechanical characteristics of the system. In previous publications, we focused on modelling the rotating-coil mechanics for the design of novel devices. In this paper, we characterise a complete system in operation. First, the mechanical model is employed for estimating the forces arising during shaft rotation. Then, the effect of the estimated disturbances is evaluated in a simulated measurement. This measurement is then performed in the laboratory and the two results are compared. In order to characterise the robustness of the system against mechanical vibrations, different revolution speeds are evaluated. This work thus presents a complete procedure for characterising a rotating-coil magnetometer system.

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Section: The Magneto-mechanical Modelmentioning

confidence: 99%

Section: The Mechanical Modelmentioning

confidence: 99%

“…The proposed model was used to design the measurement system, as described in [8]. A brief recap of the design considerations is given before presenting the model of the final system.…”

Section: The Measurement System Reviewmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Metrological characterisation of rotating-coil magnetometer systems

et al. 2021

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Local field reconstruction from rotating coil measurements in particle accelerator magnets

Ion

Liebsch

Simona

et al. 2021

Nuclear Instruments and Methods in Physics Research Section A:

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BEM-Based Magnetic Field Reconstruction by Ensemble Kálmán Filtering

Liebsch

Russenschuck

Kurz

2022

Computational Methods in Applied Mathematics

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Magnetic fields generated by normal or superconducting electromagnets are used to guide and focus particle beams in storage rings, synchrotron light sources, mass spectrometers, and beamlines for radiotherapy. The accurate determination of the magnetic field by measurement is critical for the prediction of the particle beam trajectory and hence the design of the accelerator complex. In this context, state-of-the-art numerical field computation makes use of boundary-element methods (BEM) to express the magnetic field. This enables the accurate computation of higher-order partial derivatives and local expansions of magnetic potentials used in efficient numerical codes for particle tracking. In this paper, we present an approach to infer the boundary data of an indirect BEM formulation from magnetic field measurements by ensemble Kálmán filtering. In this way, measurement uncertainties can be propagated to the boundary data, magnetic field and potentials, and to the beam related quantities derived from particle tracking. We provide results obtained from real measurement data of a curved dipole magnet using a Hall probe mapper system.

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A magneto-mechanical model for rotating-coil magnetometers

Cited by 5 publications

References 15 publications

Metrological characterisation of rotating-coil magnetometer systems

Metrological characterisation of rotating-coil magnetometer systems

Local field reconstruction from rotating coil measurements in particle accelerator magnets

BEM-Based Magnetic Field Reconstruction by Ensemble Kálmán Filtering

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