Estimating the domain of attraction for power systems via a group of damping-reflected energy functions

✍ Scribed by Young-Hyun Moon; Byoung-Kon Choi; Tae-Hoon Roh

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 326 KB
• Volume: 36
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/s0005-1098(99)00162-4

✦ Synopsis

The well-known Lyapunov direct method provides precise and rigorous theoretical backgrounds for stability analysis of nonlinear systems. However, incorporating damping e!ects into accurate estimates of the domain of attraction has proved di$cult, which is pointed as a minor but crucial drawback. This paper presents a new method to derive a group of Lyapunov functions to re#ect the damping e!ects by considering the "rst integral of motion obtained from the system governing equations when transfer conductances are neglected. A systematical approach of converting some part of damping loss into some appropriate system energy terms is developed. Examples show that the proposed method remarkably improves the estimation of the region of attraction compared with the conventional approach.