| The economic dispatch problem is one of the most basic problems of the power system.With the addition of various distributed renewable energy sources,the power grid has become complex and changeable.The traditional centralized dispatch method cannot achieve accurate and effective dispatch in the power system under the background of high penetration distributed energy access.In order to make up for the deficiencies of centralized dispatch,a distributed economic dispatch method with better reliability and scalability is adopted in the power system.First,the problem of multi-leader encirclement control with external deterministic disturbance is studied.Aiming at the deterministic interference in the system,an event-based state observer is designed to suppress the impact of the disturbance on the system and ensure that the system achieves enveloping control,hat is,the system followers can eventually move into the convex hull spanned by the leaders.By adopting the Lyapunov stability criterion and the linear inequality theorem,it is proved that the multi-agent system can operate stably under the condition of deterministic disturbance and Zeno behavior is excluded.Secondly,the distributed economic dispatch method under the Denial-of-Service attack is studied.For the optimization model that takes into account the cost of new energy(wind,photovoltaic)power generation,the classical Lagrange multiplier method is used to obtain the optimal conditions.A leader-following distributed algorithm based on a competitive interactive network strategy based on a virtual system is adopted to enable the power system to successfully communicate again under a Denial-of-Service attack to achieve effective control and dispatch.Finally,the distributed economic dispatching method considering plug-and-play is studied.Taking the maximization of social welfare as the economic dispatch goal,an economic dispatch model that takes into account the flexible load is considered,and it is used in two different operating environments with communication time delay and communication noise.In the environment of considering the communication time delay,an event-based leader-following distributed algorithm is studied,which can achieve the economic dispatch when the topology changes and complete the plug-and-play requirements of the smart grid.In the distributed economic dispatching method considering communication noise,the bounded Gaussian white noise is used as the noise model,and the attenuation gain function is introduced into the control protocol to suppress the influence of communication noise on the system convergence speed,and at the same time complete the smart grid plug-and-play requirements. |