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Research on the Data Transmission Methods in the Magneto-Thermal Coupling Model for Eddy Current Braking

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Abstract

The eddy current braking (ECB) is often installed on heavy-duty vehicles as the auxiliary braking component. When it works for a long time, the thermal derating of braking torque will reach about 18.5 % due to high temperature. It is important to establish an accurate magneto-thermal coupling model for the ECB high-temperature steady-state braking torque prediction. In multi-field coupling calculation, there are two commonly used data transmission methods between two physics fields. One of them is transmitting average data to important geometry based on the idea of lumped parameters (lumped parameters method), and the other is mapping the data distribution to each grid cell (direct mapping method). This paper takes the ECB as the research object, analyzes the influence of the above two data transmission methods, and proposes to replace the fluid-thermal coupling model with the heat conduction model in the magneto-thermal coupling model. Through calculation and analysis, using the lumped parameters method to transmit the heat generation rate, temperature and convective heat transfer coefficient all have a certain impact on the calculation accuracy of the coupling model comparing with the direct mapping method.

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Abbreviations

l :

equivalent length of the reluctance, m

s :

equivalent sectional area of the reluctance, m2

μ(B,T):

equivalent sectional area of the reluctance

k T :

coefficient for temperature correction

k m :

magnetic saturation coefficient

Φ:

magnetic flux, Wb

N :

the number of coil turns

i :

the current of the coil, A

t :

time, s

E :

the electric field strength, V/m

σ :

conductivity, S/m

J :

the current density, A/m2

ω :

frequency, rad/s

Δ:

the skin depth, m

α :

the thermal diffusivity, m2/s

q v :

the heat generation rate, W/m3

ρ :

density, kg/m3

c :

the specific heat capacity, J/(kg·°C)

k :

thermal conductivity, W/(m·°C)

h :

heat transfer coefficient, W/(m2·°C)

T i :

temperature, °C

r i :

radius, m

V :

volume, m3

M :

the braking torque, Nm

n :

rotating speed, RPM

Q :

heat generation rate, W/m3

q :

heat flux, W/m2

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Acknowledgement

The authors acknowledge the financial support from the National Natural Science Foundation of China under Project 51777003 and the Science and Technology Program of Beijing Municipal Education Commission under Project KM201710005010.

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Authors and Affiliations

  1. College of Mechanical Engineering and Applied Electronic Technology, Beijing University of Technology, Beijing, 100124, China

    Jinshan Tian, Desheng Li & Lezhi Ye

  2. Science and Technology on Vehicle Transmission Laboratory, China North Vehicle Research Institute, Chang Xindian, Fengtai District, Beijing, 100072, China

    Keyan Ning

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  1. Jinshan Tian
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  2. Desheng Li
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Correspondence to Keyan Ning.

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Tian, J., Li, D., Ning, K. et al. Research on the Data Transmission Methods in the Magneto-Thermal Coupling Model for Eddy Current Braking. Int.J Automot. Technol. 22, 1397–1407 (2021). https://doi.org/10.1007/s12239-021-0121-4

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