| The development of smart grid has gained great attention in both academic and industrial circles.With the rapid development of distributed energy management,energy storage,demand-side response,and charging technologies,smart grids will improve the efficiency and safety of electricity consumption by obtaining information from the power supply,the Internet,and customer-side feedback.The existence of smart grids will greatly improve the current shortage of electricity and energy for human beings,which in turn will improve environmental protection and reduce dependence on impossible renewable energy sources.Energy management in smart grids is one of the key aspects to provide a relatively stable and efficient operation of smart grids,so researchers from different countries are focusing on it.As the research progresses,researchers find that the scalability of centralized energy management is poor and the cost is high.Therefore,distributed energy management has become a hot topic.However,there are still problems in the current research on distributed energy management:the optimization of the model lacks consideration of the losses incurred during energy scheduling,the effectiveness of energy management protocols due to communication delays.Combining the latest research proposed at home and abroad,and considering the existence of flexible loads on this basis,the distributed energy management problem considering transmission losses and communication delays is proposed,and its effectiveness and convergence are verified by using the corresponding algorithms.The main problems are analyzed as follows.(1)For the transmission loss problem during energy management,consider the impact of the presence of flexible loads on generation and load balancing,and construct a non-convex optimization problem for maximizing the benefits of electricity use on the customer side.The problem is transformed to give equivalence conditions at the adequacy level.Based on the consistency algorithm,we finally verify the validity of the distributed theory,the correctness of the algorithm under the inequality constraint,and the "plug-and-play" capability of the power components in the circuit through three examples for the directional connected communication topology.(2)The communication delay inevitably affects the grid operation in a non-ideal communication environment.Therefore,a diffusion strategy is proposed to optimize the grid operation,and the effectiveness and convergence of the algorithm under the communication delay are analyzed.The grid operation model is optimized under the delayed communication condition,and simplified based on the traditional algorithm,which makes the algorithm more suitable for solving the grid operation problem under the delayed communication.Using matrix perturbation theory,the effect of communication delay on the optimization operation is given,and whether the algorithm converges and is effective.Finally,the results of the algorithm show that the smart grid will be affected by the communication delay and therefore the speed of obtaining information will be slowed down,which can be seen from the number of iterations in the algorithm.However,even in the presence of communication delays,the algorithm is still able to converge stably while ensuring the optimal economic objective. |