NASA is actively funding research into advanced, unconventional aircraft and engine architectures to achieve drastic reductions in vehicle fuel burn, noise, and emissions. One such concept is being explored by Boeing, General Electric, Virginia Tech, and Georgia Tech under the Subsonic Ultra Green Aircraft Research (SUGAR) project. A major cornerstone of this research is evaluating the potential performance benefits that can be attributed to using hybrid electric propulsion. Hybrid electric propulsion in this context involves a non-Brayton power generation or storage source, such as a battery or a fuel cell, that can be used to provide additional propulsive energy to a conventional Brayton cycle powered turbofan engine. This research constructs an integrated NPSS hybrid electric propulsion model capable of predicting hybrid electric engine performance throughout the operational envelope. The system consists of a battery powered motor partially drving the low pressure shaft of a conventional turbofan engine. The applied motor power adds an additional degree of freedom, along with power setting, to the aircraft designer during mission analysis. Modeling features and issues unique to hybrid electric propulsion systems are described and a vehicle trade study is carried out to determine the optimum engine cycle for both a cryogenic and conventionally driven motor system.