Distributed Optimal Scheduling of Multiple Integrated Energy Systems Based on Anderson Accelerated ADMM

At present, the scale of the integrated energy system is increasing gradually, but the difficulty and time of solving the problem increase geometrically with the increase of the traditional solving method. This brings some challenges to the calculation methods within the integrated energy system (IES). Therefore, in this paper, IES containing electricity, gas, heat and cold and its internal equipment are modeled in the form of energy bus. To solve the difficult problem of large-scale optimal scheduling model, an alternate direction multiplier method (ADMM) using consensus variables to align the boundary conditions is proposed to decompose the problem and solve it distributed. In addition, it is difficult to balance the original residual and dual residual of the original ADMM algorithm, and the phenomenon of oscillation occurs easily in the iteration process. The fixed point iteration form of ADMM is derived, and Anderson accelerated alternate direction multiplier method (AAADMM) is proposed. The feasibility and economy of distributed solution for integrated energy system are demonstrated by numerical examples, and the convergence and computational efficiency of the proposed AAADMM algorithm are verified.