A generalized lyapunov function for power systems with product-type nonlinearities

1988 ◽  
Vol 108 (4) ◽  
pp. 67-74
Author(s):  
Hayao Miyagi ◽  
Katsumi Yamashita
Keyword(s):  
Lyapunov Function ◽  
Power Systems ◽  
Product Type ◽  
Generalized Lyapunov Function

scholarly journals Stability of Power Grids: State-of-the-art and Future Trends

2019 ◽  
Vol 217 ◽  
pp. 01017
Author(s):  
Nikita Tomin ◽  
Daniil Panasetsky ◽  
Alexey Iskakov
Keyword(s):  
Steady State ◽  
Lyapunov Function ◽  
Power Systems ◽  
Transient Stability ◽  
State Of The Art ◽  
Test System ◽  
Power Grids ◽  
Small Signal ◽  
Small Signal Stability ◽  
Signal Stability

The state of the art of transient stability and steady-state (small signal) stability in power grids are reviewed. Transient stability concepts are illustrated with simple examples; in particular, we consider two machine learning-based methods for computing region of attraction: ROA produced by Neural Network Lyapunov Function; estimation of the ROA of IEEE 39-bus system using Gaussian process and Converse Lyapunov function. We discuss steady state stability in power systems, and using Prony’s modal analysis for evaluating small signal stability for the 7 Bus Test system and real French power system.

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