Thermal models are more and more used to simulate power electronic devices. For example, in aeronautic domains, the numerical validation of prototype in high temperature environment is very important. Thermal modeling is generally performed using finite element or finite volume methods, which are difficult to integrate in the design procedure. These simulations must then combine different software and lead to important computation times. To develop reduced models, many methodologies are proposed as: the thermal quadrupoles method [1][2][3], the nodal method [4], Pole Analysis via Congruence Transformation (PACT) method [5]and thermal matrix description. All these methods allow developing conductive thermal models with a limited number of unknowns and are called compact thermal models. This paper focuses on how the thermal matrix description methodology can be used with finite element method to generate reduced models that are boundary-condition-independent. This method is successfully used in the present study to generate reduced models for 1D and 2D.
In the design of power electronic converters, the choice of the suitable magnetic alloys and the measurement of the variations of their magnetic properties versus the temperature are fundamental issues. A theoretical model based on Neel theory and that takes into account wall displacement and coherent rotation was elaborated to derive the expression of the complex permeability versus the frequency. The static and the dynamic behavior are considered. The dependence of temperature is implicit in this model, i.e. the parameters involved in the expression of the complex permeability may depend on the temperature. An impedance analyzer has been used to measure the open circuit and short circuit complex impedances of a toroidal core versus the frequency at several temperatures ranging from 20°C to 180°C. The complex permeability of the material is then deduced. Finally, the theoretical model is used to identify the domain susceptibility and the anisotropy energy of the materials. The effect of temperature on these parameters is analyzed. The result obtained are valuable for the design of a power electronic converters from the magnetic and thermal viewpoints. The results prove the need for the combination of heat transfer and magnetic mechanisms at the design.
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