scholarly journals Long-Term Stability Analysis of Power Systems With Wind Power Based on Stochastic Differential Equations: Model Development and Foundations

2015 ◽  
Vol 6 (4) ◽  
pp. 1534-1542 ◽  
Author(s):  
Xiaozhe Wang ◽  
Hsiao-Dong Chiang ◽  
Jianhui Wang ◽  
Hui Liu ◽  
Tao Wang
2013 ◽  
Vol 23 (11) ◽  
pp. 2129-2154 ◽  
Author(s):  
HÉLÈNE BARUCQ ◽  
JULIEN DIAZ ◽  
VÉRONIQUE DUPRAT

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.


2019 ◽  
Vol 19 (10) ◽  
pp. 3841-3845 ◽  
Author(s):  
Yizhang Wen ◽  
Yuanfang Mao ◽  
Qionghui Luo ◽  
Xiaoping Wang

Author(s):  
Nil Almat ◽  
Mohammadreza Gharavipour ◽  
William Moreno ◽  
Florian Gruet ◽  
Christoph Affolderbach ◽  
...  

1976 ◽  
Vol 95 (1) ◽  
pp. 96-104 ◽  
Author(s):  
V. Converti ◽  
D.P. Gelopulos ◽  
M. Housley ◽  
G. Steinbrenner

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