Distributed Low-Carbon Economic Dispatching for Power Systems with Arbitrary Directed Communication Topologies

Considering the directional characteristics of communication topology due to heterogeneity in distance, power, and so on, a fully distributed consensus-based low-carbon economic dispatch method with directed topology is investigated in this paper. First, a low-carbon economic dispatching model is established with the consideration of dual goals of maximizing economic benefits and reducing carbon emissions, which employs quadratic functions to calculate operation and maintenance costs of subsystems along with carbon trading costs and introduces the Lagrange multiplier method to solve the optimization problem. Second, a fully distributed dispatching algorithm is proposed for large-scale and complex power networks. Our proposed algorithm treats incremental costs as consensus variables based on consensus theory, which realizes distributed dispatching through iterative computation. Third, the algorithm’s applicability under random directed communication topology is thoroughly investigated. With the introduction of a surplus variable, the effectiveness and convergence of the algorithm have been confirmed through the analysis of communication topology and adjacency weights. Finally, some numerical experiments under the IEEE-14 power system are carried out to show the effectiveness of our proposed method.