Sinusoidal Regime Analysis Of Heat Transfer In
Microelectronic Systems
Author(s)
B. Vermeersch & G. De Mey
Abstract
The boundary element method has been used to evaluate the thermal impedances
of electronic components in the micrometer range. All simulations gave rise to
impedance plots composed of a few circular arcs. This conclusion has also been
confirmed by experimental measurements and semi analytical calculations.
Keywords: thermal impedance, thermal conduction, AC, numerical calculation,
boundary element method.
1 Introduction
All books devoted to heat transfer have mainly three chapters bearing the respective
titles \“conduction”, \“convection” and \“radiation”. The convective part is usually
the most elaborated one for the obvious reason that this is the most important
one in many industrial applications. If one is dealing with microelectronics,
conduction turns out to be dominant. Indeed, the heat dissipated in the silicon
semiconductor can only reach the cooling fins by thermal conduction through the
silicon and the packaging materials. It often happens that the largest temperature
drop occurs between the chip and the base of the cooling fin. The reason is obvious:
the heat sources are so small that the immediate neighbourhood turns out to
be the largest and hence most dominant thermal resistance.
In most books on heat transfer, the last part of \“conduction” is devoted to time
dependent problems (Bejan [1], Incopera and De Witt [2]). A section related to
AC thermal conduction (phasor notation) is non-existent. Whereas in electricity
and electronics the use of phasor notation ( jω instead of ∂/∂t) is quite common,
the application in the field of thermal analysis seems to be rather exceptional. In
microelectronics however, an AC thermal analysis has a lot of importance. The
Keywords
thermal impedance, thermal conduction, AC, numerical calculation,
boundary element method.
Related Book
Other papers in this volume
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