Considerable recent interest has been redirected towards nuclear energy as a viable and prosperous energy source for the future. With that, much attention has been directed towards the more advanced concepts of nuclear reactor design and power conversion systems. The supercritical carbon dioxide (SCO2) recompression cycle appears to have several distinct advantages over other traditional power cycles and is receiving serious attention. The main advantage of the SCO2 cycle is its comparable efficiency with the helium Brayton cycle at significantly lower temperatures (550˚C vs. 850˚C), but higher pressure (20MPa vs. 8MPa). The SCO2 cycle is well suited to any type of nuclear reactor with core outlet temperatures above 500˚C. Taking advantage of an easily achievable critical point, the SCO2 recompression cycle is able to significantly reduce the work of compression, which results in a noteworthy efficiency improvement. Also, the cycle is highly recuperative which considerably reduces the required heat input. Another favorable option offered by the SCO2 recompression cycle is its simplicity. The cycle obtains a thermodynamic efficiency close to 50% without adding the complexities associated with intercooling, re-heating, re-compressing, and pre-compressing. The recompression cycle was found to yield the highest efficiency, while still retaining simplicity. Lastly, the SCO2 recompression cycle offers another distinct advantage with its modular design which projects significant savings over a conventional Rankine cycle plant.