The use of Hybrid Excitation Synchronous Machine (HESM) can widely be extended to any size of power applications in regards to its high efficiency and simplicity of flux control. The aim of this thesis consists to analyze different design constraints and develop optimization processes of a Hybrid Excitation Synchronous Generator (HESG).Analytical and lumped models were used with reasonable level of accuracy and minimum computation time. The model has been validated by comparing the result to those achieved by FEM.The study shows the technical and economical advantages of the use of HESG compare to the conventional Salient Pole Synchronous Generator (SPSG). The comparison between the two generator topologies was considered for constant and variable speed applications such as wind energy. The influence of several parameters such as frequency and the number of slot per pole and per phase was investigated. For the case of wind energy application the study shows the importance of Weibull distribution and the speed range when looking for the optimized generator.In order to validate the multi-physics model, a 1MVA HESG was considered and a prototype produced. To highlight the advantages and performances of HESG generator a test program was carried out into steps. A first set of tests have been made before bounding the permanent magnets and the second set of tests have been made after bounding the permanent magnets