Urban Air Mobility (UAM), is a recent and effective solution to the current ground traffic congestion dilemma. Power and propulsion systems are one of the key technologies for commercial applications of flying vehicles. Therefore, it is crucial to study the operating characteristics of the power system under typical mission profiles of flying vehicles. Due to the limitation of battery energy density and the range limitation of pure electric flying cars, it is more reasonable to use hybrid oil-electric power system for flying cars. This paper summarizes the research related to the operational performance of the hybrid system under the mission profile of vertical takeoff and landing flying vehicle (VTOL). Based on MATLAB Simulink, a hybrid coordination method is proposed, in which two operation modes are considered simultaneously. According to the actual operating conditions, different operation modes are preset for two operating conditions of vertical takeoff and landing and level flight. Based on this, the coordination of the range extender, which is the main power source, to regulate the power flow and the battery, which improves the efficiency of the range extender, is studied. The generator is injected with rated power to maximize generator efficiency, while the DC bus voltage is regulated by a DC/DC converter. Power sharing during charging and discharging states is achieved in order to benefit the overall battery pack life. Simulation results show that the DC bus voltage can be well controlled and that the power sharing between the range extender and the battery follows the design.