| With the gradual depletion of fossil energy and the aggravation of pollution,the energy problem has become one of the issues that governments need to face directly.Integrated energy systems have attracted widespread attention from scholars and governments around the world due to their low carbon,economic,flexible,and efficient characteristics,which can effectively alleviate energy supply conflicts.Economic dispatch is one of the hot issues in integrated energy systems,which ensures that the system can achieve economic optimization under the premise of safety and stability.In recent years,relevant researchers have divided their research on integrated energy economic dispatch into two categories,centralized and distributed.Centralized dispatch is not suitable for large-scale integrated energy systems due to its poor scalability,heavy communication burden,and poor privacy;Due to its high flexibility and robustness,distributed dispatch is increasingly being used to solve the economic dispatch problems of integrated energy systems.However,the existing distributed dispatch based on consistency still has problems that need further research: 1)Most of the current research on distributed dispatch is based on the assumption of an ideal communication network,while communication delays,congestion,and other issues may occur in real communication environments;2)Distributed dispatch is mostly based on the conditions of synchronous communication,while integrated energy systems are usually largescale and geographically dispersed systems.The application of synchronous communication technology will increase communication costs and communication pressure borne by nodes;3)Distributed dispatch network security issues have been less considered,while distributed dispatch is more vulnerable to network attacks due to its neighbor nodes being able to communicate with each other.In response to the above issues,this paper mainly studies the distributed economic dispatch of integrated energy systems,mainly including the following aspects:(1)This paper studies the economic dispatch of integrated energy systems under asynchronous communication,and proposes a distributed asynchronous consistency algorithm.This method is suitable for the economic dispatch of large-scale integrated energy systems.Due to the electro-thermal coupling characteristics of integrated energy systems,two different consistent iterative protocols are designed to calculate the incremental costs of electrical and thermal power,respectively,and local power mismatches are used as feedback to ensure that the system meets the balance between supply and demand.Then,the convergence and optimality of the method are proved using the eigenvalue perturbation method and KKT condition.(2)The privacy protection problem of economic dispatch in distributed integrated energy systems is studied,and a distributed economic dispatch method with privacy protection function is proposed.This method not only ensures that the information transmitted by the communication link is not eavesdropped by external malicious parties,but also that the key data of the node is not affected.The proposed security scheme is based on asynchronous gossip algorithms,so it is a consistent and asynchronous privacy protection method.Privacy information protection involves masking critical data by adding random noise without affecting the final result.Its performance in cost optimization and privacy protection has been proven through mathematical theoretical analysis.(3)The network security issues of distributed integrated energy systems are studied,and a robust distributed economic dispatch method is proposed.This paper analyzes the operational scenarios of a distributed integrated energy system under false data injection attacks,and designs an asynchronous push pull detection method based on asynchronous economic dispatch methods to detect the operational status of the system.Bayesian reputation system and observation network are introduced to identify and isolate malicious attack nodes,and the convergence and optimality of robust economic dispatch are proved through mathematical analysis. |