scholarly journals Application of random eigenvalue analysis to assess bridge flutter probability

2015 ◽  
Vol 140 ◽  
pp. 79-86 ◽  
Author(s):  
Thomas Canor ◽  
Luca Caracoglia ◽  
Vincent Denoël
Keyword(s):  
Eigenvalue Analysis ◽  
Random Eigenvalue

Eigenvalue analysis of synchronous machines

1975 ◽  
Vol 94 (5) ◽  
pp. 1629-1634 ◽  
Author(s):  
R.J. Kuhler ◽  
V.J. Watson
Keyword(s):  
Eigenvalue Analysis ◽  
Synchronous Machines

Research on SSO Caused by HVDC Based on Eigenvalue Analysis

2011 ◽  
Vol 383-390 ◽  
pp. 4792-4798
Author(s):  
Dan Zhang ◽  
Xiang Ning Xiao ◽  
Lin Yang ◽  
Ben Feng Gao
Keyword(s):  
Eigenvalue Analysis ◽  
Small Signal ◽  
Analysis Method ◽  
Subsynchronous Oscillation ◽  
Electromagnetic Transient ◽  
Hvdc System ◽  
Electromagnetic Transient Simulation ◽  
Linearized Model ◽  
Oscillation Characteristics ◽  
Oscillation Characteristic

Subsynchronous Oscillation problems caused by HVDC system are studied and analyzed intensively in this paper based on eigenvalue analysis method. By establishing the small signal linearized model of a typical HVDC system, subsynchronous oscillation characteristics of the system with or without SSDC are obtained. Further more, the influence of SSDC parameters to the system subsynchronous oscillation characteristic can be illustrated clearly. This is significant for SSDC design in order to achieve a satisfied restraining effect. Comparing with more accurate electromagnetic transient simulation results, the consistency of the two methods is verified and it can be demonstrated that eigenvalue analysis method is adequate for studying subsynchronous oscillations.

scholarly journals Zero Eigenvalue Analysis for the Determination of Multiple Steady States in Reaction Networks

1998 ◽  
Vol 53 (3-4) ◽  
pp. 171-177
Author(s):  
Hsing-Ya Li
Keyword(s):  
Steady State ◽  
Rate Constants ◽  
Reaction Network ◽  
Steady States ◽  
Eigenvalue Analysis ◽  
Zero Eigenvalue ◽  
Positive Steady State ◽  
Positive Steady States ◽  
Positive Rate ◽  
System Of Inequalities

Abstract A chemical reaction network can admit multiple positive steady states if and only if there exists a positive steady state having a zero eigenvalue with its eigenvector in the stoichiometric subspace. A zero eigenvalue analysis is proposed which provides a necessary and sufficient condition to determine the possibility of the existence of such a steady state. The condition forms a system of inequalities and equations. If a set of solutions for the system is found, then the network under study is able to admit multiple positive steady states for some positive rate constants. Otherwise, the network can exhibit at most one steady state, no matter what positive rate constants the system might have. The construction of a zero-eigenvalue positive steady state and a set of positive rate constants is also presented. The analysis is demonstrated by two examples.

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