Decentralized economic dispatch in power systems via gradient projection method

We formulate the economic dispatch problem of generating unit population over a multi-time interval. In this paper, we will propose a coordination method by applying the gradient projection method. This method can solve the economic dispatch problem considering ramping rate limits of generating units over a multi-time interval. Due to the decoupling relationship among the admissible sets of coordination behaviors of all the individual generating units, the gradient projection on an individual admissible coordination set is independent upon the admissible sets of all the others. Following this modeling issue, the coordination behavior of each individual generating units can be updated locally and simultaneously. We show that, by applying our proposed method, the system converges to the optimal solution in case the step-size parameter of the update procedure is in a certain region. The results developed in this paper are demonstrated with several numerical simulations.