Singular perturbation analysis of systems with sustained high frequency oscillations

✍ Scribed by Joe H. Chow; John J. Allemong; Petar V. Kokotovic

• Publisher: Elsevier Science
• Year: 1978
• Tongue: English
• Weight: 654 KB
• Volume: 14
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(78)90091-2

✦ Synopsis

Singular perturbation techniques, extended to treat systemg with slightly damped high frequency modes, provide better understanding of the system's structural properties, and they yield computational advantages since the resulting subsystems are analyzed in separate time scales.

Key Word Index--Perturbation techniques; eigenvalues; two time scales; system order reduction; approximation theory; modeling; power system control.

Summary--Using singular perturbation techniques, a system with high frequency oscillations is decomposed into two lower order subsystems, one containing only the slowly varying part and the other containing only the fast oscillatory part. Eigenvalue and state approximations achieved by the subsystems are given. A mass-spring-damper example shows that a stiff spring can be regarded as a perturbation of a rigid rod and an interconnected power system example illustrates the occurrence of coherency and inter-machine oscillations.