2019/07/17 by Madi Zholbaryssov, Zholbaryssov, Madi, Christoforos N. Hadjicostis +3 · 1 citation
Computer Science · Engineering · #Cooperative Communication and Network Coding #Distributed Control Multi-Agent Systems #Advanced MIMO Systems Optimization
paper · pdf · doi:10.48550/arxiv.1907.07600
In this paper, we consider the problem of optimally coordinating the response\nof a group of distributed energy resources (DERs) so they collectively meet the\nelectric power demanded by a collection of loads, while minimizing the total\ngeneration cost and respecting the DER capacity limits. This problem can be\ncast as a convex optimization problem, where the global objective is to\nminimize a sum of convex functions corresponding to individual DER generation\ncost, while satisfying (i) linear inequality constraints corresponding to the\nDER capacity limits and (ii) a linear equality constraint corresponding to the\ntotal power generated by the DERs being equal to the total power demand. We\ndevelop distributed algorithms to solve the DER coordination problem over\ntime-varying communication networks with either bidirectional or unidirectional\ncommunication links. The proposed algorithms can be seen as distributed\nversions of a centralized primal-dual algorithm. One of the algorithms proposed\nfor directed communication graphs has geometric convergence rate even when\ncommunication out-degrees are unknown to agents. We showcase the proposed\nalgorithms using the standard IEEE 39-bus test system, and compare their\nperformance against other ones proposed in the literature.\n