Multi‐agent consensus for distributed power dispatch with load balancing. Issue 2 (3rd November 2019)

• Record Type: Journal Article
• Authors: Hanada, Kenta; Wada, Takayuki; Masubuchi, Izumi; Asai, Toru; Fujisaki, Yasumasa
• Is Part Of: Asian journal of control. Volume 23:Issue 2(2021)
• Page Start: 611
• Page End: 619
• Publication Date: 2019-11-03
• Subjects: consensus algorithm -- distributed algorithm -- load balancing -- multi‐agent system -- power dispatch; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.2257
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: A weighted averaging consensus algorithm over a noisy network is considered for a distributed power dispatch with load balancing. The availability of the communication among dispatching agents is represented as a network that is assumed to be a directed, balanced, and a weakly connected graph with no self loop. A simple representation of the consensus algorithm is given by using its graph Laplacian. The convergence analysis of the algorithm reveals an explicit relation between the number of iterations and the closeness of the agreement in terms of the characteristic values of the graph Laplacian, which gives a stopping rule for the consensus algorithms.