This paper proposes two novel Power ManagementStrategies (PMS) to enhance the electrical power quality in twinscrew All-Electric Ships (AES) during vessel-wave encountering. Soothing PMS (SPMS) focuses on mitigating power fluctuations of the propulsion system since it has significant impacts on the power system in extreme conditions. For this purpose, the PMS modifies propellers speed based on the in-and-out-of-water effect Loss Factor (LF) in wave collisions. This method does not require typical equipment, such as Energy Storage Systems (ESS), to moderate the variations. Hence, it decreases the ESS demand capacity and maintenance costs at the design and operation levels. An integrated ship model is introduced to determine this loss factor in waves thoroughly. Furthermore, due to the propeller dynamics in speed altering, an adaptive delay is embedded in SPMS to improve its efficiency, and an Advanced Soothing PMS (ASPMS) is developed. To determine this varying adaptive delay during an operation, a straightforward algorithm is proposed that does not impose the PMS to compute complex differential equations. Simulations reveal that both PMSs soothe the propulsion system power fluctuations and remarkably reduce the power system frequency and voltage variations. Meanwhile, the ASPMS surpasses the SPMS in terms of improving the power quality.