The supercritical carbon dioxide Brayton cycle(S-CO2) is one of promising alternatives as a power conversion system of the sodium-cooled fast reactor due to higher cycle efficiency and less reactive working fluid to sodium, compared to the steam Rankine cycle. In a S-CO2 Brayton cycle, turbine, compressors and generator are coupled with a same axis and their rotating speeds are variable in accordance with electrical outputs. However, to synchronize the cycle with a electrical grid, the electrical output of the cycle must has the same frequency with the electrical grid regardless of amount of the turbine output. To deal with this problem, several methods were proposed but each method still has their own weaknesses. In this paper, a new idea will be presented. The idea that the generator with the two reverse rotors are introduced into S-CO2 Brayton cycle and it aims to produce a full range of electricity at a fixed frequency with high efficiency.