2016/03/22 by Tjerk Stegink, Claudio De Persis, Stegink, Tjerk +3
Computer Science · Engineering · Mathematics · #Artificial intelligence #Computer science #Control (management) #Control and Stability of Dynamical Systems #Control engineering #Control theory (sociology) #Controller (irrigation) #Engineering #FOS: Electrical engineering #FOS: Mathematics #Graph #Mathematics #Microgrid Control and Optimization #Nonlinear Dynamics and Pattern Formation #Optimization and Control (math.OC) #Power (physics) #Quadratic equation #Representation (politics) #Stability and Controllability of Differential Equations #Synchronous motor #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1603.06688
openalex publication_date 2016/03/22 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
This paper investigates the problem of optimal frequency regulation of\nmulti-machine power networks where each synchronous machine is described by a\nsixth order model. By analyzing the physical energy stored in the network and\nthe generators, a port-Hamiltonian representation of the multi-machine system\nis obtained. Moreover, it is shown that the open-loop system is passive with\nrespect to its steady states which implies that passive controllers can be used\nto control the multi-machine network. As a special case, a distributed\nconsensus based controller is designed that regulates the frequency and\nminimizes a global quadratic generation cost in the presence of a constant\nunknown demand. In addition, the proposed controller allows freedom in choosing\nany desired connected undirected weighted communication graph.\n