| Integrated electrical and heating systems(IEHS),as the representative of the integrated energy system(IES),possess the characteristics of high resource utilization and good environmental protection benefits.The IES has triggered a new round of energy revolution,and is an effective way to become carbon neutral.The IEHS can increase the flexibility of power systems by exploiting the heat energy storage of pipelines,as well as improve the consumption of renewable energy.The IEHS couples an electrical power system and several district heating systems,which are dispatched,controlled,optimized and managed by the electrical operator(EO)and heating operator(HO)respectively.Hence the traditional centralized optimization algorithm is not suitable for practical production.As an alternative method,distributed algorithms can fulfill the meet for independent scheduling of multi-energy entities,ensuring the security and confidentiality of the data.Distributed algorithms can meet the task of contemporary wireless communications and networking.At each dispatch period of coordinated dispatch of IEHS,minor data is required to be exchanged between EO and HO.Hence,the effectiveness of distributed algorithms very dependents on the communication transmission environment,such as communication costs,packet losses and transmission noises.Therefore,this paper proposes a distributed optimal dispatching algorithm of integrated electrical and heating system considering communication transmission conditions.The main study of this paper is described as follows:Firstly,according to limited communication resources,communication network comes to a bottleneck by high-frequency data exchanging.To deal with this problem,this paper proposes a distributed optimal dispatching algorithm of integrated electrical and heating system considering communication cost.The distributed calculation base on the alternative direction method of multipliers(ADMM).With a communication censoring strategy,boundary information can is allowed to transmit to adjacent areas only if the information is “sufficient informative”.Case studies demonstrate the effectiveness that communication-censored ADMM can reach the optimal solution,as well as reduce communication costs.Secondly,considering the failed connection between communication links and the problem of packet losses,boundary information cannot be updated in time,making theoretical algorithms not converge and leading to higher operating costs.To deal with this problem,we propose a distributed optimal dispatching algorithm of integrated electrical and heating system considering communication packet loss.The relaxed ADMM(R-ADMM)is developed by applying the relaxed Peaceman-Rachford splitting method to the Lagrangian dual of the original problem.A binary probabilistic distribution model is formed to describe communication failures between EO and HO,And R-ADMM over lossy networks is reformulated.Case studies demonstrate that the R-ADMM can converge to the optimal solution,as well as improve the calculation performance and the robustness hedging packet losses.Thirdly,considering several noises occur in boundary information transmission,the disturbance can lead to a non-convergent algorithm and a wrong calculation result.To deal with this problem,we propose a distributed optimal dispatching algorithm of integrated electrical and heating system considering transmission noise.Introduced correction step sizes and auxiliary variables,the accelerated ADMM(A-ADMM)is formulated.Based on the calculation framework of A-ADMM,we establish the stochastic transmission noise model produced by the communication between EO and HO,and reformulate the stochastic acceletated ADMM(SAADMM).Case studies demonstrate that the SA-ADMM can converge to the optimal solution,as well as improve the calculation performance and the robustness hedging transmission noise. |