Distributed Complementary Control Research of Wind Turbines in Two Offshore Wind Farms

Abstract

In order to stabilize the fluctuation of wind power and maintain a stable power output, a complementary control idea is proposed. This idea aims to make the output power from two wind farms complement each other. This study proposes a distributed control strategy to solve the complementary control problem of wind turbines in two offshore wind farms on the basis of the Hamiltonian energy theory. The proposed control strategy not only ensures synchronization for wind turbines in the same farm but also keeps the combined output power of the two wind farms stable. First, through the Hamiltonian realization, the single-machine model of a wind turbine is transformed into a port-controlled Hamiltonian system with dissipation (PCHD). Subsequently, the Hamiltonian energy control law is developed on the basis of the energy-shaping method to adjust the Hamiltonian energy function. The complementary control of the two wind farms is designed to synchronize the wind turbines within an individual wind farm and keep the combined output of the two wind farms stable. Furthermore, the complementary control strategy is modified to address the communication delay between the two wind farms by incorporating time delay into the control problem. Finally, the effectiveness of the distributed complementary control has been verified via simulations.