Urban air mobility (UAM) represents a promising solution for alleviating contemporary ground traffic congestion challenges. Consequently, a comprehensive analysis of power system operational characteristics within typical flight mission profiles for flying cars is of utmost importance. Due to constraints associated with battery energy density and the limited range of all-electric flying cars, the adoption of an oil-electric hybrid power system for flying cars is a more pragmatic choice. An overview of pertinent research concerning the operational performance of hybrid systems in vertical takeoff and landing (VTOL) vehicles was provided. Utilizing MATLAB Simulink, a hybrid power coordination method was proposed that accounted for both operational modes. Distinct operational modes were predefined in accordance with actual operational conditions, encompassing vertical take-off and landing as well as level flight scenarios. Building upon this foundation, the coordination of the battery was explored, serving as the primary power source, to regulate power flow and enhance the efficiency of the range extender. The DC bus voltage was subject to regulation through a DC/DC converter. To promote the overall longevity of the battery pack, power sharing mechanisms were introduced during both charging and discharging phases. Simulation results underscore the proficient control of the DC bus voltage, and power distribution between the range extender and the battery aligns with the predetermined design parameters.