Distributed Frequency Control with Operational Constraints, Part II: Network Power Balance
Abstract
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 the 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.
Keywords
Cite
@article{arxiv.1703.00083,
title = {Distributed Frequency Control with Operational Constraints, Part II: Network Power Balance},
author = {Zhaojian Wang and Feng Liu and Steven H. Low and Changhong Zhao and Shengwei Mei},
journal= {arXiv preprint arXiv:1703.00083},
year = {2017}
}