The contribution of this paper is to provide a method for determining the required power capacity of an on-shore power system (OPS) considering the stochastic nature of arriving ships. In order to cope with such complicated and stochastic operation processes in container terminals, simulation models are established with arrival intervals of ships ranging from 1 to 100 h as inputs. Firstly, the mobile pattern of OPS adopted in the container terminal is introduced. Then, patterns of arriving ships are analyzed to explain why a simulation method is necessary. Next, a series of simulation experiments based on a container terminal in China are constructed and carried out. Finally, the required power capacity of an OPS under different arrival intervals is given when considering all berthed ships using an OPS. Besides, with the consideration of reducing environmental impact of ships at different levels, the required power capacity is provided with different proportions of arriving ships using an OPS. The results obtained, and the proposed method can be used to provide references for government policy making and green container terminal construction.Sustainability 2018, 10, 4524 2 of 17 and $589,000, correspondingly. The capacity of the OPS in the Port of Göteborg is decided by only considering the power utilization of several certain ships or specific kind of ships, such as ferries and roro ships, without considering the stochastic nature of arriving ships and servicing all arriving ships to use shore power. Therefore, it is imperative to provide a method for determining the required power capacity of an OPS under the stochastic arrival of ships to meet electricity demand of all ships in ports, which is the problem we aim to solve in this paper.Limited literature has studied how to determine the capacity of an OPS, and the capacity is decided by historical data of OPS construction and expert experience in most cases, e.g., Port of Lianyungang, which is located in China. In addition, few of the current international norms or standards give a determination strategy of OPS capacity for specific ports. For example, the Technical Code of Shore-to-Ship Power Supply System [9] gives the auxiliary power of different types of ships and regulates that the capacity of an OPS must satisfy the power demand of on-board equipment when ships moor at a berth, but how to calculate the capacity of an OPS is not provided by means of formulas or other methods.Most existing research on OPS focus on electricity standardization, technical reformation, and policies. In terms of shore-connected electricity standardization, a joint international electrical standardization addressing the connection of shore power and ships was released in 2012, to promote a uniform system of OPSs [10]. Followed by this standardization, a series of literature [11][12][13] contribute to the power supply standard to ensure safe and reliable operation of an OPS. For technical reformation of the OPS, the studies mainly take efforts on protection equipment and control s...