Steady‐state temperature solution for the Joule heating of a conducting medium

1983 ◽  
Vol 51 (11) ◽  
pp. 1043-1045 ◽  
Author(s):  
John H. Young ◽  
William J. Atkinson ◽  
Ivan A. Brezovich
Keyword(s):  
Steady State ◽  
Joule Heating ◽  
Conducting Medium ◽  
Steady State Temperature ◽  
Temperature Solution

Steady-State Temperature Solution for a Heat-Generating Circular Cylinder Cooled by a Ring of Holes

1964 ◽  
Vol 86 (4) ◽  
pp. 531-536 ◽  
Author(s):  
J. C. Rowley ◽  
J. B. Payne
Keyword(s):  
Heat Conduction ◽  
Steady State ◽  
Circular Cylinder ◽  
Heat Conduction Equation ◽  
Series Solution ◽  
Concentric Circle ◽  
Optimum Location ◽  
Shape Factors ◽  
Steady State Temperature ◽  
Temperature Solution

A series solution is presented to the heat-conduction equation for a heat-generating circular cylinder pierced axially by a ring of equal holes spaced uniformly on a concentric circle. The solution is based upon a class of potential functions previously defined by Howland. Typical nondimensional curves for peak and average temperatures and optimum location of the ring of holes for uniform convective cooling are presented. In addition, some shape factors or conductances for the geometry are given.

scholarly journals Identification of DC Thermal Steady-State Differential Inductance of Ferrite Power Inductors

Energies ◽  
2021 ◽  
Vol 14 (13) ◽  
pp. 3854
Author(s):  
Salvatore Musumeci ◽  
Luigi Solimene ◽  
Carlo Stefano Ragusa
Keyword(s):  
Steady State ◽  
Input Voltage ◽  
Switching Frequency ◽  
Ohmic Losses ◽  
Steady State Temperature ◽  
Wide Range ◽  
Average Current ◽  
Power Inductors ◽  
Saturable Inductor ◽  
Thermal Steady State

In this paper, we propose a method for the identification of the differential inductance of saturable ferrite inductors adopted in DC–DC converters, considering the influence of the operating temperature. The inductor temperature rise is caused mainly by its losses, neglecting the heating contribution by the other components forming the converter layout. When the ohmic losses caused by the average current represent the principal portion of the inductor power losses, the steady-state temperature of the component can be related to the average current value. Under this assumption, usual for saturable inductors in DC–DC converters, the presented experimental setup and characterization method allow identifying a DC thermal steady-state differential inductance profile of a ferrite inductor. The curve is obtained from experimental measurements of the inductor voltage and current waveforms, at different average current values, that lead the component to operate from the linear region of the magnetization curve up to the saturation. The obtained inductance profile can be adopted to simulate the current waveform of a saturable inductor in a DC–DC converter, providing accurate results under a wide range of switching frequency, input voltage, duty cycle, and output current values.

Sign in / Sign up

Export Citation Format

Share Document