Abstract

In this work we analyse the temperature distribution in a conductor disk in transitory regime. The disk is in motion in a stationary magnetic field generated by a permanent magnet and so, the electric currents induced inside it generate heat. The system acts as a magnetic brake and is analysed using infrared sensor techniques. In addition, for the simulation and analysis of the magnetic brake, a new thermal convective matrix for the 3D Cell Method (CM) is proposed. The results of the simulation have been verified by comparing the numerical results with those obtained by the Finite Element Method (FEM) and with experimental data obtained by infrared technology. The difference between the experimental results obtained by infrared sensors and those obtained in the simulations is less than 0.0459%.

Highlights

  • Thermal and electromagnetic analysis are strongly linked and they are applied in the design of all electrical machines [1,2]

  • The magnitudes of configuration are associated to the nodes of a primal mesh made up of tetrahedra, and the source type magnitudes are associated to the surfaces of a dual mesh—control volume—obtained in a barycentric division of the primal mesh. This matrix is applied to an equation of energy balance on a magnetic brake, which consists of a copper disk that rotates with an angular velocity wr, in a magnetic field produced by a permanent magnet

  • The difference between the experimental results obtained by infrared sensors and those obtained in the simulations is less than 0.0459%

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Summary

Introduction

Thermal and electromagnetic analysis are strongly linked and they are applied in the design of all electrical machines [1,2]. In most of the works consulted in the bibliography dealing with the thermal analysis of magnetic brakes, approximate analytical equations are used, or numerical methods based on the differential formulation, such as the FEM, are employed. The magnitudes of configuration are associated to the nodes of a primal mesh made up of tetrahedra, and the source type magnitudes are associated to the surfaces of a dual mesh—control volume—obtained in a barycentric division of the primal mesh This matrix is applied to an equation of energy balance on a magnetic brake, which consists of a copper disk that rotates with an angular velocity wr , in a magnetic field produced by a permanent magnet.

The Constitutive Convective Matrix in the CM
Thermal Formulation in the Time Domain in the CM
New Thermal Convective Constitutive Matrix
Boundary Conditions of the Thermal Problem
Triangle of reference
Infrared Temperature Measurement
Theoretical Foundations of Thermography
Infrared Sensors
Thermographic camera
Results and Discussion
Numerical Validation of the Results in the CM
Analysis of the Thermal Transient Regime
Experimental validation using infrared sensors
Analytical Calculation of heff
Adjusting heff Using Infrared Technology
14. Adjustment
15. Verification
26. Temperatures obtained by CM in the parametric sectionsto
Conclusions
Special Issue
Full Text
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