The widely used flywheel energy storage (FES) system has such advantages as high power density, no environment pollution, a long service life, a wide operating temperature range, and unlimited charging-discharging times. The flywheel array energy storage system (FAESS), which includes the multiple standardized flywheel energy storage unit (FESU), is an effective solution for obtaining large capacity and high-power energy storage. In this paper, the strategy for coordinating and controlling the charging-discharging of the FAESS is studied in depth. Firstly, a deep analysis is conducted on the loss generated during the charging-discharging process of the FESU. The results indicate that the loss is related to the charging-discharging of power. To solve the problems of over-charging, over-discharging, and overcurrent caused by traditional charging-discharging control strategies, this paper proposes a charging-discharging coordination control strategy based on the equal incremental principle (EIP). This strategy aims to minimize the total loss and establish a mathematical model of optimal coordination control with the constraints of total charging-discharging power, rated power limit, over-charging, over-discharging, and overcurrent. Based on the EIP, the optimal distribution scheme of power charging-discharging is determined. Secondly, this paper gives the specific implementation scheme of the optimal coordinated control strategy. Lastly, the charging-discharging coordinated control strategy is verified by examples. The results show that the coordinated control strategy can effectively reduce the loss during the charging-discharging process and can prevent over-charging, over-discharging, and overcurrent of the system. Overall, it has a better control effect than the existing charging-discharging control strategies.Energies 2019, 12, 2844 2 of 27 speed, a limited recycling time, and a short service life. At the same time, the replacement of batteries will significantly increase operating costs [4]. In addition, wasted batteries pollute the environment.Flywheel energy storage (FES) is a form of energy storage that uses a high-speed rotating flywheel rotor as a carrier to convert electrical energy into mechanical energy. It has the advantages of high power density, no environmental pollution, a long service life, and an almost unlimited charging-discharging time. Therefore, FES has been widely used in various fields, including renewable energy power generation, rail brake energy recovery, uninterrupted power supply (UPS), frequency modulation and voltage regulation in power systems, satellite energy storage, and attitude adjustment [5,6]. There are two main technical approaches used to acquire a larger storage capacity, higher charging-discharging power, and longer backup time. One is to develop a large-capacity single-unit FES system, and the other one is to connect multiple standardized flywheel energy storage units (FESUs) in parallel to form a flywheel array energy storage system (FAESS). The single large-capacity ...