Distributed optimal capacity allocation of integrated energy system via modified ADMM

This paper considers the optimal capacity allocation of integrated energy systems (IESs) with the power-gas systems for clean energy consumption. First, power-gas network models are established with equality and inequality constraints. Second, a novel full distributed cooperative optimal regulation scheme is designed to deal with the optimal capacity allocation problem. Moreover, to deal with the inequality constraints in IESs, a distributed projection operator is developed such that the system states can be guaranteed within the constraint conditions. Then the convergences of those distributed optimization algorithms were proved for strictly convex objective functions. And the initial conditions of systems for the algorithm are free. The simulation is provided to demonstrate the effectiveness of the distributed optimazation approach.