This paper analyses the synchronous machine modeling by taken into account the machine

parameters usually used in industry and those used in researcher’s domains. Two models

are presented. The first one is developed in the (d,q) natural reference frames and the other

one is referred to the (d,q) stator reference frame. To do this, two methods are proposed to

compute the reduction factor of the field winding without any input from design informa-tion. It is shown that the reduction factors of the (d,q) damper windings do not influence on

the terminal behavior of the machine. This means that it is possible to know the terminal

behavior of the machine without knowing the real inductances and resistances of the dam-per windings. The accuracy of these models is validated by experimental tests