Many countries have committed to achieving Net-Zero emissions, signaling a significant shift towards sustainability, which includes impactful initiatives such as the implementation of Green Seaports. This paper presents modeling and power flow simulation of a proposed Green Seaport power system and the subsequent performance of power analysis under various operating conditions. The model, constructed using MATLAB Simulink, underwent extensive testing and analysis, with a specific emphasis on the Battery Energy Storage System (BESS) operating modes, including individual charging, discharging, and simultaneous charging and discharging. This comprehensive study evaluated the impact of variations in solar irradiance, BESS state of charge (SoC), load levels, and power factor on the system across each BESS operating mode. The results conclusively demonstrated that the designed system is healthy, enabling reliable electricity delivery with minimal losses, maintaining stable voltage levels within acceptable limits, and operating efficiently with minimal instances of component overloading.