Investigate heat conduction ability of power components with Dijsktra Algorithm

In this paper we present that how the graph theory can be used in the field of thermal study. We have developed a method which can describe the heat conduction ability of large size power components during the reflow soldering. Our method exploit that the heat conduction ability of the materials can be described with time coefficients which is determined by the thermal resistance and the heat capacity of the given material. We implemented this in a Matlab program which generates a directed and weighted graph from the discrete thermal model of the investigated component. The program uses the Dijsktra Algorithm to find the shortest "conduction ways" between the different parts of the component. With our method, the following effects can be studied during the soldering: the deviation between the generated conduction heat flows from the different faces of the component, from which direction and way get a chosen point the most heat, the effect of heat distraction, etc...