scholarly journals Multirate Simulations With Simultaneous-Solution Using Direct Integration Methods in a Partitioned Network Environment

2006 ◽  
Vol 53 (12) ◽  
pp. 2765-2778 ◽  
Author(s):  
Fernando A. Moreira ◽  
Jos R. Marti ◽  
Luiz C. Zanetta ◽  
Luis R. Linares
Keyword(s):  
Direct Integration ◽  
Network Environment ◽  
Simultaneous Solution ◽  
Integration Methods

Comportement dynamique des lignes aériennes de transport d'électricité dû aux bris de câbles. II. Problèmes numériques associés à la modélisation mathématique

1989 ◽  
Vol 16 (3) ◽  
pp. 354-374 ◽  
Author(s):  
Ghyslaine McClure ◽  
René Tinawi
Keyword(s):  
Transmission Lines ◽  
Nonlinear Dynamic ◽  
Numerical Models ◽  
Equations Of Motion ◽  
Nonlinear Dynamic Analysis ◽  
Small Scale ◽  
Convergence Criterion ◽  
Direct Integration ◽  
Time Step ◽  
Integration Methods

The evaluation of the response of an aerial power line section subjected to cable breakage is a complex dynamic problem in which geometric nonlinearities are important. The solution of the equations of motion of the model calls for direct integration methods for which the stability and behavior, in nonlinear situations, are difficult to predict. Seven numerical models are analyzed with the Wilson-θ and the Newmark-β algorithms and results are compared with those of small-scale tests of the American Electric Power Research Institute. This comparison emphasizes the importance of the high frequency modes in the response and the artificial damping induced by the Wilson-θ method. This method allows up to three times the time increment required by the trapezoidal rule that does not filter the contribution of higher frequencies but is limited by a convergence criterion. Many observations made in this particular study are also applicable to multi-degree-of-freedom nonlinear dynamic problems using direct time-step integration. Key words: Nonlinear dynamic analysis, direct integration methods, aerial electric transmission lines, cable breakage simulation.

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