2017/06/20 by Bin Wang, Kai Sun, Wang, Bin +3
Engineering · Physics and Astronomy · #FOS: Electrical engineering #Magnetic confinement fusion research #Power System Optimization and Stability #Systems and Control (eess.SY) #Vibration and Dynamic Analysis #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1706.06226
openalex publication_date 2017/06/20 · openalex created_date 2017/06/30 · openalex updated_date 2026/07/28
It is well-known that in an m-machine power system where each machine is represented by a second-order differential equation, the Jacobian of the system equation contains (m-1) pairs of conjugate eigenvalues and two real eigenvalues, including at least one zero. This letter proves that under the uniform damping condition, the dynamics associated with the two real eigenvalues do not have any impact on the dynamics associated with those complex eigenvalues. This conclusion is important to justify the use of the relative motions or center-of-inertia (COI) coordinate to analyze the rotor angle stability in a multi-machine power system.