Distributed economic dispatch control in smart grid based on fixed-time dynamic event-triggered algorithm

This paper proposes a distributed fixed-time consensus algorithm to solve the economic dispatch problem (EDP) in smart grid. By applying this algorithm, the total generation cost can be minimized while ensuring the equation and inequality constraint. Even with unknown and bounded disturbances affecting the generator system, the algorithm can achieve optimal dispatch within a fixed time and has an estimated stabilization time that is dependent of the generator's initial conditions. Meanwhile, a static trigger function was designed to reduce the computational effort of the generators and the frequency of communication with their neighbors. Since a static threshold may result in frequent triggering, we introduced an auxiliary valuable to the static triggering condition. This allows for dynamic adjustment of the static threshold and extends the static triggering to dynamic event-triggered. Finally, the algorithm's effectiveness is demonstrated through several examples.