scholarly journals A Floquet theory‐based fast time‐domain stability analysis for N ‐parallel inverters system

2021 ◽  
Author(s):  
Hong Li ◽  
Xiaheng Jiang ◽  
Chen Liu ◽  
Zhong Li ◽  
Leopoldo G. Franquelo ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Time Domain ◽  
Floquet Theory ◽  
Fast Time ◽  
Domain Stability

Dynamic predictor-based controls: a time-domain stability analysis

2019 ◽  
Vol 17 (07) ◽  
pp. 1207-1213
Author(s):  
Luis Juarez ◽  
Sabine Mondie
Keyword(s):  
Stability Analysis ◽  
Time Domain ◽  
Domain Stability

Time Domain Approaches to the Stability Analysis of Flexible Dynamical Systems

2015 ◽  
Vol 11 (4) ◽  
Author(s):  
Jielong Wang ◽  
Xiaowen Shan ◽  
Bin Wu ◽  
Olivier A. Bauchau
Keyword(s):  
Stability Analysis ◽  
Dynamical Systems ◽  
Time Domain ◽  
Floquet Theory ◽  
Characteristic Exponent ◽  
Periodic Coefficient ◽  
Theoretical Background ◽  
System Stability ◽  
Lyapunov Characteristic Exponent ◽  
The Stability

This paper presents two approaches to the stability analysis of flexible dynamical systems in the time domain. The first is based on the partial Floquet theory and proceeds in three steps. A preprocessing step evaluates optimized signals based on the proper orthogonal decomposition (POD) method. Next, the system stability characteristics are obtained from partial Floquet theory through singular value decomposition (SVD). Finally, a postprocessing step assesses the accuracy of the identified stability characteristics. The Lyapunov characteristic exponent (LCE) theory provides the theoretical background for the second approach. It is shown that the system stability characteristics are related to the LCE closely, for both constant and periodic coefficient systems. For the latter systems, an exponential approximation is proposed to evaluate the transition matrix. Numerical simulations show that the proposed approaches are robust enough to deal with the stability analysis of flexible dynamical systems and the predictions of the two approaches are found to be in close agreement.

Time Domain Stability Analysis for Machining Processes

2016 ◽  
pp. 77-88 ◽  
Author(s):  
Asia Maamar ◽  
Belhassen Chedli Bouzgarrou ◽  
Vincent Gagnol ◽  
Raouf Fathallah
Keyword(s):  
Stability Analysis ◽  
Time Domain ◽  
Machining Processes ◽  
Domain Stability
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