2021/10/29 by Songyan Wang, Jilai Yu, Wang, Songyan +5
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Computer science #Control (management) #Control theory (sociology) #Energy (signal processing) #Engineering #FOS: Electrical engineering #Hydraulic and Pneumatic Systems #Machine tool #Mathematics #Mechanical engineering #Model Reduction and Neural Networks #Motion (physics) #Physics #Power System Optimization and Stability #Systems and Control (eess.SY) #Trajectory #Transformation (genetics) #cs.SY #eess.SY #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2110.15491
Index Terms-- Transient stability, transient energy, equal area criterion, transient energy corrections, trajectory corrections. This paper contains 16 pages and 38 figures
arxiv created 2021/10/29 · openalex publication_date 2021/10/29 · arxiv updated 2021/11/01 · openalex created_date 2021/11/08 · openalex updated_date 2026/07/28
This paper focuses on the transformations from the individual machine to the equivalent machine through the "correction" perspective of the inner-group machine. The machines are first classified as the real machine with equation of motion and the pseudo machine without equation of motion. Then, it is clarified that both individual machine and equivalent machine are real machines, while the superimposed machine is a pseudo machine. Based on the classifications of the machines, two types of machine transformations are provided. The two types of machine transformations are based on the "energy correction" and "trajectory correction" of the inner-group machine, respectively. For the energy correction case, it is clarified that the trajectory transformation completely fails, while the energy transformation mathematically holds yet it is physically meaningless. For the trajectory correction case, it is clarified that both energy transformation and trajectory transformation are established. The reason is that each trajectory-correction based individual machine has the same equation of motion, i.e., the motion of the equivalent Machine-CR. Simulation results show that the machine transformation from the individual machine to the equivalent machine can be realized only through trajectory correction.