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References (38)
-
A. Bergen, D. Hill (1981)
A Structure Preserving Model for Power System Stability AnalysisIEEE Transactions on Power Apparatus and Systems, PAS-100
-
Liviu Aolaritei, Dongchan Lee, T. Vu, K. Turitsyn (2018)
A Robustness Measure of Transient Stability Under Operational Constraints in Power SystemsIEEE Control Systems Letters, 2
-
J. Doná, J. Lévine (2013)
On Barriers in State and Input Constrained Nonlinear SystemsSIAM J. Control. Optim., 51
-
H. Chiang, J. Thorp (1987)
The closest unstable equilibrium point method for power system dynamic security assessment26th IEEE Conference on Decision and Control, 26
-
John Paserba, V. Ajjarapu, Göran Andersson, Anjan Bose, Claudio Canizares, Nikos Hatziargyriou, David Hill, Alex Stankovic, Carson Taylor, T. Cutsem, Vijay Vittal (2004)
Definition and Classification of Power System Stability -
Policy Law, Paul Policy, Ian Anderson, Robert Blackshaw, Janwillem Siekmann, Soek, P. Anderson, A. Fouad (1979)
Power System Control and StabilityIEEE Transactions on Systems, Man, and Cybernetics, 9
-
Mo Chen, Sylvia Herbert, C. Tomlin (2016)
Fast reachable set approximations via state decoupling disturbances2016 IEEE 55th Conference on Decision and Control (CDC)
-
P. Varaiya, F. Wu, Rong-Liang Chen (1985)
Direct methods for transient stability analysis of power systems: Recent resultsProceedings of the IEEE, 73
-
Antoine Oustry, C. Cardozo, P. Panciatici, D. Henrion (2018)
Maximal Positive Invariant Set Determination for Transient Stability Assessment in Power SystemsarXiv: Optimization and Control
-
Licheng Jin, Ratnesh Kumar, N. Elia (2010)
Reachability analysis based transient stability design in power systemsInternational Journal of Electrical Power & Energy Systems, 32
-
A. Michel, A. Fouad, V. Vittal (1983)
Power system transient stability using individual machine energy functionsIEEE Transactions on Circuits and Systems, 30
-
T. Vu, K. Turitsyn (2015)
A Framework for Robust Assessment of Power Grid Stability and ResiliencyIEEE Transactions on Automatic Control, 62
-
Willem Esterhuizen, J. Lévine (2016)
Barriers and potentially safe sets in hybrid systems: Pendulum with non-rigid cableArXiv, abs/2109.10976
-
K. Padiyar (1990)
ENERGY FUNCTION ANALYSIS FOR POWER SYSTEM STABILITYElectric Machines and Power Systems, 18
-
crosses [ ∂ A ] − , having initiated from A , then it cannot re-enter A before first violating a constraint. Similarly -
Willem Esterhuizen, Tim Aschenbruck, S. Streif (2019)
On Maximal Robust Positively Invariant Sets in Constrained Nonlinear SystemsAutom., 119
-
condition on the invariance barrier, ¯ x ∈ [ ∂ M ] − (resp. ¯ x ∈ [ ∂ A ] − ) there exists an input ¯ d ∈ D such that the -
Michael Kyesswa, H. Çakmak, L. Gröll, U. Kühnapfel, V. Hagenmeyer (2019)
A Hybrid Analysis Approach for Transient Stability Assessment in Power Systems2019 IEEE Milan PowerTech
-
F. Dörfler, F. Bullo (2009)
Synchronization and transient stability in power networks and non-uniform Kuramoto oscillatorsProceedings of the 2010 American Control Conference
-
Tim Aschenbruck, Willem Esterhuizen, M. Padmanabha, S. Streif (2020)
Sustainability Analysis of Interconnected Food Production Systems via Theory of BarriersArXiv, abs/2003.09447
-
P. Kundur, J. Paserba, V. Ajjarapu, G. Andersson, A. Bose, C. Cañizares, N. Hatziargyriou, D. Hill, A. Stanković, C. Taylor, T. Cutsem, V. Vittal (2004)
Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitionsIEEE Transactions on Power Systems, 19
-
M. Althoff, M. Cvetković, M. Ilić (2012)
Transient stability analysis by reachable set computation2012 3rd IEEE PES Innovative Smart Grid Technologies Europe (ISGT Europe)
-
A. El-Guindy, Y. Chen, M. Althoff (2017)
Compositional transient stability analysis of power systems via the computation of reachable sets2017 American Control Conference (ACC)
-
Dongchan Lee, K. Turitsyn (2017)
Dynamic Polytopic Template Approach to Robust Transient Stability AssessmentarXiv: Dynamical Systems
-
Dongkun Han, A. El-Guindy, M. Althoff (2016)
Power systems transient stability analysis via optimal rational Lyapunov functions2016 IEEE Power and Energy Society General Meeting (PESGM)
-
F. Dörfler, M. Chertkov, F. Bullo (2012)
Synchronization in complex oscillator networks and smart gridsProceedings of the National Academy of Sciences, 110
-
J. Aubin (1991)
Viability theory -
Anjian Li, Mo Chen (2019)
Guaranteed-Safe Approximate Reachability via State Dependency-Based Decomposition2020 American Control Conference (ACC)
-
(A4) The set f ( x, D ) (cid:44) { f ( x, d ) : d ∈ D } is convex for all x ∈ R n -
Y. Susuki, T. Koo, Hiroaki Ebina, T. Yamazaki, Takashi Ochi, Takuji Uemura, T. Hikihara (2012)
A Hybrid System Approach to the Analysis and Design of Power Grid Dynamic PerformanceProceedings of the IEEE, 100
-
M. Pavella, F. Evans (1985)
Direct methods for studying dynamics of large-scale electric power systems - A surveyAutom., 21
-
H. Chiang (2010)
Direct Methods for Stability Analysis of Electric Power Systems: Theoretical Foundation, BCU Methodologies, and Applications -
T. Vu, K. Turitsyn (2014)
Lyapunov Functions Family Approach to Transient Stability AssessmentIEEE Transactions on Power Systems, 31
-
Babu Narayanan, F. Khan, Maheedhar Patnala, Rajesh Kanchan (2015)
POWER SYSTEM STABILITY AND CONTROL -
Mo Chen, Sylvia Herbert, Mahesh Vashishtha, Somil Bansal, C. Tomlin (2016)
Decomposition of Reachable Sets and Tubes for a Class of Nonlinear SystemsIEEE Transactions on Automatic Control, 63
-
(A2) The function f is C 2 with respect to d ∈ D , and for every d in an open subset containing D , the function f is C 2 with respect to x ∈ R n -
(A3) There exists a constant 0 < c < + ∞ such that the following inequality holds true for all x ∈ R n : sup d ∈ D | x T f ( x, d ) | ≤ c (1 + (cid:107) x (cid:107) 2 ) -
H. Chiang, J. Tong, Y. Tada (2010)
On-line transient stability screening of 14,000-bus models using TEPCO-BCU: Evaluations and methodsIEEE PES General Meeting
- Publisher
- de Gruyter
- Copyright
- © 2020 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 2196-677X
- eISSN
- 2196-677X
- DOI
- 10.1515/auto-2020-0073
- Publisher site
- See Article on Publisher Site
Abstract
AbstractThe energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid’s bus angles to retain synchronism after the occurrence of a major fault. In this paper a set-based approach is presented to assess the transient stability of power systems. The approach is based on the theory of barriers, to obtain an exact description of the boundaries of admissible sets and maximal robust positively invariant sets, respectively. We decompose a power system into generator and load components, replace couplings with bounded disturbances and obtain the sets for each component separately. From this we deduce transient stability properties for the entire system. We demonstrate the results of our approach through an example of one machine connected to one load and a multi-machine system.
Journal
at - Automatisierungstechnik – de Gruyter
Published: Nov 18, 2020