Singular Time Delayed System Stability Theory in the sense of Lyapunov: A Quite New Approach

2007 ◽  
Author(s):  
D. LJ. Debeljkovic ◽  
S. B. Stojanovic ◽  
N. S. Visnjic ◽  
S. A. Milinkovic
Keyword(s):  
Stability Theory ◽  
System Stability ◽  
New Approach ◽  
Delayed System ◽  
Singular Time

Stability Theory in the Sense of Lyapunov — Basic Approach: Discrete Singular Time Delayed System

Volume 1 ◽  
2004 ◽  
Author(s):  
D. Lj. Debeljkovic ◽  
S. A. Milinkovic ◽  
S. B. Stojanovic ◽  
M. B. Jovanovic
Keyword(s):  
Stability Theory ◽  
Direct Method ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Discrete Delay ◽  
Basic Approach ◽  
Delayed System ◽  
The Stability ◽  
Working Out ◽  
Singular Time

This paper gives sufficient conditions for the stability of linear singular discrete delay systems of the form Ex(k+1) = Aox(k)+A1x((k-1). These new, delay-independent conditions are derived using approach based on Lyapunov’s direct method. A numerical example has been working out to show the applicability of results derived. To the best knowledge of the authors, such result have not yet been reported.

DISCRETE TIME DELAYED SYSTEM STABILITY THEORY IN THE SENSE OF LYAPUNOV: NEW RESULTS

2004 ◽  
Author(s):  
D. LJ. DEBELJKOVIC ◽  
M. P. LAZAREVIC ◽  
S. B. STOJANOVIC ◽  
M. B. JOVANOVIC ◽  
S. A. MILINKOVIC
Keyword(s):  
Discrete Time ◽  
Stability Theory ◽  
System Stability ◽  
Delayed System

Further results on singular time delayed system stability

2005 ◽  
Author(s):  
D.Lj. Debeljkovic ◽  
S.B. Stojanovic ◽  
M.B. Jovanovic ◽  
S.A. Milinkovic
Keyword(s):  
System Stability ◽  
Delayed System ◽  
Singular Time

Optimal Parameters Tuning of Power System Stabilizer via Bees Algorithm

2015 ◽  
Vol 781 ◽  
pp. 397-401
Author(s):  
Nur Safura Ab Khalid ◽  
Mohd Wazir Mustafa ◽  
Rasyidah Mohamed Idris
Keyword(s):  
Power System ◽  
Low Frequency ◽  
Optimization Methods ◽  
System Stability ◽  
Bees Algorithm ◽  
Power System Stabilizer ◽  
Low Frequency Oscillation ◽  
New Approach ◽  
Parameters Tuning ◽  
System Stabilizer

This paper presents a new approach for designing the Power System Stabilizer. As in power system network, low frequency oscillation always occurs for a long period of time that will decrease the power transfer capability. Power System Stabilizer known as PSS is being installed as one of the control devices in a generating unit. The conventional PSS (CPSS) is the most commonly used in power system, which uses lead-lag compensation. The lack in CPSS has drawn an interest of designing the new approach of PSS to outperform the conventional one. Thus, Bees Algorithm (BA) which is known as one of the numerous intelligent optimization methods is proposed in this paper. It is appears to aid the system stability by optimizing the PSS parameters tuning. The PSS with the BA approach is labelled as BA-PSS and being tested on single machine infinite bus system (SMIB) in Matlab/Simulink environment. BA-PSS performance is compared with CPSS as to validate the ability of the proposed method to achieve great performance in power system stability enhancement. Different type of mechanical input is being injected into the system and the result shows that BA-PSS is capable to optimize the parameters tuning of PSS. BA-PSS also improved the unstable or poorly stable modes as the system achieve the stability with lower overshoot and less time settling. The superior response of BA-PSS controller proved the ability of BA approach in which is capable to solve the lack in CPSS with better performance in enhancing the system stability.

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