Container terminals are under growing pressure to decarbonize while maintaining reliable and cost-efficient operations. However, many port energy management systems (EMS) still rely on simplified demand profiles, isolated asset models, or decisions disconnected from terminal logistics, limiting their ability to represent electrified port operation and reducing transferability across terminal layouts. This paper proposes a renewable-integrated port microgrid EMS for container terminals, using the Port of Sines as an operational case study. The framework combines a backbone economic dispatch problem with modular asset-level models for photovoltaic generation, battery energy storage, onshore power supply (OPS), flexible loads, and non-flexible terminal demand. A logistics-to-energy interface links the EMS to a SimPy-based container terminal simulator, converting vessel calls, OPS connection windows, crane activity, and reefer container locations into structured electrical demand inputs. The OPS module represents the operational and economic trade-off between shore-side electricity and auxiliary engine operation, while renewable generation and storage dispatch are coordinated within the same scalable optimization structure. The resulting MILP formulation minimizes operating costs under operational and electrical constraints and supports scenario analysis of renewable integration, grid import, storage dispatch, OPS supply, and future asset extensions, including additional renewables, forecasting modules, and electric vehicle charging.