| In the era of gradually expanding the scale of power grid,the traditional centralized dispatching algorithm of power grid is not enough to support the huge scale of smart grid.It needs the distributed scheduling algorithm as a strong support.With the expansion of the power grid,the cost of electricity is also increasing.As one of the most basic problems in power grid,economic dispatch has been the focus of research for many years.In this dissertation,Lagrange multiplier algorithm,particle swarm optimization algorithm and distributed consistency algorithm are used to solve the economic scheduling problem in smart grid.The smart grid is regarded as a multi-agent system,and the power components in smart grid can be represented by agents.The former two algorithms are centralized optimization algorithms.When using the centralized optimization algorithm,as long as one agent makes mistakes,the whole power system will make mistakes and fail to achieve the specified goal.In this dissertation,the concept of leader-following is added to the distributed consistency algorithm,which does not require all agents to contact the system center.When the leader agent has problems,the original leader agent will be replaced by another follower agent.After becoming the new leader agent,it will receive the correct information from the system center and then transmit the correct information to the follower agent.All the agents will obtain the correct information to complete the corresponding assigned tasks and ensure the normal operation of the whole power system.When solving the economic dispatching problem of power grid,Lagrange multiplier method is adopted to represent the incremental cost,and the incremental cost is always consistent when solving the optimal power generation and the minimum cost.Secondly,the particle swarm optimization algorithm with inertia weight can be used to better solve the optimal value and improve the convergence speed.Finally,according to the imbalance of information transmission and communication in time-varying system,the leader-following distributed consensus algorithm is used.This dissertation focuses on the variability of power grid communication topology and the "plug and play" characteristics,and considers the case of communication delay,adding the feedback strength parameter to improve the convergence speed of the system.In this dissertation,the three algorithms are simulated by MATLAB to verify their effectiveness in solving the economic scheduling problem.The convergence speed of the algorithm and the cost considered in the economic scheduling problem are compared and analyzed.In the end,it is concluded that the distributed consistency algorithm is superior to the other two algorithms in convergence speed and economic scheduling cost. |