Novel approach to the queue stability analysis of polling models

1998 ◽  
Author(s):  
Sum Lam ◽  
Rocky K. C. Chang
Keyword(s):  
Stability Analysis ◽  
Polling Models ◽  
Novel Approach ◽  
Queue Stability

A novel approach to the stability analysis of conditionally stable circuits

2021 ◽  
Author(s):  
Valentin Beleca ◽  
Cosmin-Sorin Plesa ◽  
Raul Onet ◽  
Marius Neag
Keyword(s):  
Stability Analysis ◽  
Novel Approach ◽  
The Stability

Power System Transient Stability Analysis via Second-Order Non-Uniform Kuramoto Model

2014 ◽  
Vol 960-961 ◽  
pp. 1054-1057
Author(s):  
Liu Yang ◽  
Yu Feng Guo ◽  
Ning Chen ◽  
Min Hui Qian ◽  
Xiao Ping Xue ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Power System ◽  
Transient Stability ◽  
Stable Equilibrium ◽  
Stability Margin ◽  
Second Order ◽  
Kuramoto Model ◽  
Trapping Region ◽  
Novel Approach ◽  
Transient Stability Analysis

Based on frequency synchronization theory of the second-order non-uniform Kuramoto model, a novel approach for power system transient stability analysis is put forward by establishing the correspondence between the classic power system model and the second-order non-uniform Kuramoto model. This method relates network parameters with the region of attraction of the disturbed system’s stable equilibrium and thus the transient stability information of the disturbed system can be obtained by comparing the initial configuration with trapping region of the stable equilibrium of the disturbance-canceling system. The application of our approach to single machine infinite bus system shows that this method features a fast computation speed. It can determine the transient stability of the system when a certain perturbation acts on as well as offer the stability margin of the disturbed system, which is of great importance for practical use.

Stability analysis of linear systems with switchable stiffness using the Floquet theory

2018 ◽  
Vol 25 (5) ◽  
pp. 963-976
Author(s):  
L. Moreno-Ahedo ◽  
S. Diarte-Acosta
Keyword(s):  
Stability Analysis ◽  
Vibration Control ◽  
Linear Systems ◽  
System Parameter ◽  
Floquet Theory ◽  
Extreme Values ◽  
Active Vibration Control ◽  
State Dependent ◽  
Novel Approach ◽  
Control Of Linear Systems

In this paper, a novel approach based on the Floquet theory is applied for the stability analysis of a mass–spring system with switchable stiffness. The Reid model is used to describe the dynamics of this semi-active vibration control problem. The semi-active control is achieved by a spring which commutes between a maximum and minimum stiffness according to a prescribed state-dependent rule and its performance is characterized by a system parameter, which relates to the extreme values of the stiffness. In order to apply the Floquet theorem, the Reid model is written as a linear periodic differential equation by converting the state-dependent rule into a time-periodic control law. The application of the theory allows us to obtain the Floquet multipliers and exponents in terms of the system parameter. The multipliers lie inside the unitary circle showing asymptotic stability, while the exponents are used to solve an optimization problem by applying a sensitivity analysis. Our results are validated by analyzing the Reid model using nonlinear analysis techniques. According to our findings, the present approach provides a useful tool to analyze the vibration control of linear systems with switchable stiffness in a natural and straightforward way, which also gives mathematical tractability for optimization purposes. In addition, this approach can be extended to study the cases of multi-degree-of-freedom systems and forced systems.

A novel approach to stability analysis for switched positive linear systems

2014 ◽  
Vol 351 (7) ◽  
pp. 3883-3898 ◽  
Author(s):  
Xudong Zhao ◽  
Qiang Yu ◽  
Junfeng Zhang ◽  
Zhicheng Li
Keyword(s):  
Stability Analysis ◽  
Linear Systems ◽  
Novel Approach
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