Distributed Frequency Control with Operational Constraints, Part II: Network Power Balance
In Part I of this paper, we propose a decentralized optimal frequency control of multi-area power system with operational constraints, where the tie-line powers remain unchanged in the steady state and the power mismatch is balanced within individual control areas. In Part II of this paper, we propose a distributed controller for optimal frequency control in the network power balance case, where the power mismatch is balanced over the whole system. With the proposed controller, the tie-line powers remain within the acceptable range at equilibrium, while the regulation capacity constraints are satisfied both at equilibrium and during transient. It is revealed that the closed-loop system with the proposed controller carries out primal–dual updates with saturation for solving an associated optimization problem. To cope with discontinuous dynamics of the closed-loop system, we deploy the invariance principle for nonpathological Lyapunov function to prove its asymptotic stability. Simulation results are provided to show the effectiveness of our controller.
© 2017 IEEE. Manuscript received February 28, 2017; revised May 31, 2017; accepted July 20, 2017. Date of publication July 25, 2017; date of current version December 19, 2018. This work was supported in part by the National Natural Science Foundation of China under Grant 51677100, Grant 51377092, and Grant 51621065, in part by the Foundation of Chinese Scholarship Council under Grant 201506215034 and Grant 201606210173, in part by the U.S. National Science Foundation under Award EPCN 1619352, Award CCF 1637598, Award CNS 1545096, in part by ARPA-E under Award DE-AR0000699, and in part by Skoltech Through Collaboration under Grant 1075-MRA. Paper no. TSG-00298-2017.
Submitted - 1703.00083.pdf