Control strategy based on game theory for DC microgrid without wire interconnections

A control strategy based on game theory is proposed for the power sharing among the distributed generation devices in DC microgrid without wire interconnections. Based on the concept of virtual rival and according to its own cost function, each generation device competes with others in the control of DC bus voltage, resulting in the Nash equilibrium of both DC bus voltage and output current. The given cost function integrates the output power of distributed generation device with the historical and present DC bus voltage errors. A small signal model is derived to analyze the dynamic performance of system. Simulative and experimental results show the power sharing among all distributed generation devices is achieved, validating the effectiveness of the proposed control strategy.