On the solution of small signal stability of power systems by a block-Krylov subspace algorithm

2021 ◽  
Vol 125 ◽  
pp. 106520
Author(s):  
Lucas B. Rezende ◽  
José Eduardo O. Pessanha
Keyword(s):  
Power Systems ◽  
Krylov Subspace ◽  
Small Signal ◽  
Small Signal Stability ◽  
Signal Stability ◽  
Subspace Algorithm

scholarly journals An Analytical Model for Small Signal Stability Analysis in Unbalanced Electrical Power Systems

2020 ◽  
Vol 10 (24) ◽  
pp. 8855
Author(s):  
Humberto Verdejo ◽  
Pablo Moreira ◽  
Wolfgang Kliemann ◽  
Cristhian Becker ◽  
José Delpiano
Keyword(s):  
Stability Analysis ◽  
Power Systems ◽  
General Model ◽  
Electrical Power ◽  
Small Signal ◽  
Small Signal Stability ◽  
Electrical Power Systems ◽  
Signal Stability ◽  
Phase Representation ◽  
Small Signal Stability Analysis

This paper presents a general model to carry out a small signal stability analysis in electrical power systems (EPSs) that operate in unbalanced conditions. The classic traditional approach is based on a phase representation where it is supposed that the triphasic electric grid does not suffer any variations during its operation. With the presence of unbalances in transmission lines and loads, it is necessary to develop a general model that allows answering the needs and challenges with which modern electric systems must deal. The present work firstly intends to address the three-phase representation of an EPS, including the controllers. The proposed model is applied to a classical test system, a three machine-nine bus system, considering all the dynamic and algebraic variations associated with angular stability analysis. The proposed approach to small signal stability analysis shows results that differ from the classical analysis. The results are backed up with time domain simulations, and therefore, these results could be used in the calculation of the controllers that operate in unbalanced multimachine systems.

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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