scholarly journals Analytical Studies of Quasi Steady-State Model in Power System Long-Term Stability Analysis

2014 ◽  
Vol 61 (3) ◽  
pp. 943-956 ◽  
Author(s):  
Xiaozhe Wang ◽  
Hsiao-Dong Chiang
Keyword(s):  
Steady State ◽  
Stability Analysis ◽  
Power System ◽  
State Model ◽  
Quasi Steady State ◽  
Term Stability ◽  
Long Term Stability ◽  
Analytical Studies ◽  
Steady State Model

LONG-TERM STABILITY ANALYSIS OF ACOUSTIC ABSORBING BOUNDARY CONDITIONS

2013 ◽  
Vol 23 (11) ◽  
pp. 2129-2154 ◽  
Author(s):  
HÉLÈNE BARUCQ ◽  
JULIEN DIAZ ◽  
VÉRONIQUE DUPRAT
Keyword(s):  
Stability Analysis ◽  
Boundary Conditions ◽  
Absorbing Boundary Conditions ◽  
Computational Domain ◽  
Acoustic Wave Equation ◽  
Absorbing Boundary ◽  
Term Stability ◽  
Long Term Stability ◽  
The Stability

This work deals with the stability analysis of a one-parameter family of Absorbing Boundary Conditions (ABC) that have been derived for the acoustic wave equation. We tackle the problem of long-term stability of the wave field both at the continuous and the numerical levels. We first define a function of energy and show that it is decreasing in time. Its discrete form is also decreasing under a Courant–Friedrichs–Lewy (CFL) condition that does not depend on the ABC. Moreover, the decay rate of the continuous energy can be determined: it is exponential if the computational domain is star-shaped and this property can be illustrated numerically.

Sign in / Sign up

Export Citation Format

Share Document