Distributed Optimal Consensus Over Resource Allocation Network and Its Application to Dynamical Economic Dispatch

作者：Li, Chaojie; Yu, Xinghuo; Huang, Tingwen^*; He, Xing

来源：IEEE Transactions on Neural Networks and Learning Systems, 2018, 29(6): 2407-2418.

DOI：10.1109/TNNLS.2017.2691760

• Consensus
• distributed optimization
• distributed primal-dual multiagent system
• dynamical economic dispatch
• smart grid

The resource allocation problem is studied and reformulated by a distributed interior point method via theta-logarithmic barrier. By the facilitation of the graph Laplacian, a fully distributed continuous-time multiagent system is developed for solving the problem. Specifically, to avoid high singularity of the theta-logarithmic barrier at boundary, an adaptive parameter switching strategy is introduced into this dynamical multiagent system. The convergence rate of the distributed algorithm is obtained. Moreover, a novel distributed primal-dual dynamical multiagent system is designed in a smart grid scenario to seek the saddle point of dynamical economic dispatch, which coincides with the optimal solution. The dual decomposition technique is applied to transform the optimization problem into easily solvable resource allocation subproblems with local inequality constraints. The good performance of the new dynamical systems is, respectively, verified by a numerical example and the IEEE six-bus test system-based simulations.

• 出版日期2018-6
• 单位西南大学