The PhD work deals with a new structure of hybrid excited synchronous machine (MSDE) for the application of hybrid and electric vehicles. This kind of machine, with two excitation sources, benefits an additional degree of freedom and an easy control of flux. Due to this degree of freedom, the machine can be designed in the way that its best efficiency coincide with the most solicited operating zone. This new machine structure is the main subject of this study. The principle of this MSDE is presented in the first two chapters. The machine is then designed according to the specifications for an hybrid vehicle. The experimental validation has confirmed the proper functioning of the structure and shown its interest. Another important subject in the machine sizing is the thermal aspect because our machines are becoming more and more compact and powerful. A correct estimation of the iron loss is essential for evaluating correctly the machine performances. That's why we have decided to dedicate a part of this study to the modeling of iron loss, of which the estimation is not evident.