Heat transfer through a semiconductor module
Simscape / Electrical / Passive / Thermal
The Foster Thermal Model block represents heat transfer through a semiconductor module. The figure shows an equivalent circuit for a fourth-order Foster Thermal Model block. Tj is the junction temperature and Tc is the base plate temperature.
A Foster thermal model contains one or more instances of Foster thermal model elements. The figure shows an equivalent circuit for a Foster thermal model element.
The number of thermal elements is equal to the order of representation. For a first order model, use scalar block parameters. For an nth order model, use row vectors of length n. Other terms that describe a Foster thermal model are:
Partial fraction circuit
The defining equations for a first-order Foster thermal model element are:
Cthermal is the thermal capacity.
τ is the thermal time constant.
Rthermal is the thermal resistance.
QAB is the heat flow through the material.
TAB is the temperature difference between the material layers.
A— Semiconductor junction
Thermal conserving port associated with the semiconductor junction.
B— Base plate junction
Thermal conserving port associated with the base plate junction.
Thermal resistance data— Thermal resistance values
[ 0.0016 0.0043 0.0013 0.0014 ]
Thermal resistance values, Rthermal , of the semiconductor module, specified as a vector.
Thermal time constant data— Thermal time constant data
[ 0.0068 0.064 0.32 2 ]
Thermal time constant values, τ, of the semiconductor module, specified as a vector.
 Schütze, T. AN2008-03: Thermal equivalent circuit models. Application Note. V1.0. Germany: Infineon Technologies AG, 2008.