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Journal Articles

Detection of winding deformations in power transformers from inrush current characteristics using the Chen–Lee chaotic system and Gramian Angular Summation Field

Open Access
Sy Ruen Huang, Sin Yan Chen
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 073104 (2025)
https://doi.org/10.1063/5.0268509
Published: July 2025
View articletitled, Detection of winding deformations in power transformers from inrush current characteristics using the Chen–Lee chaotic system and Gramian Angular Summation Field
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Journal Articles

Analyzing deterministic and stochastic influences on the power grid frequency dynamics with explainable artificial intelligence

Open Access
Tim Drewnick, Xinyi Wen, Ulrich Oberhofer, Leonardo Rydin Gorjão, Christian Beck, Veit Hagenmeyer, Benjamin Schäfer
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 033153 (2025)
https://doi.org/10.1063/5.0239371
Published: March 2025
View articletitled, Analyzing deterministic and stochastic influences on the power grid frequency dynamics with explainable artificial intelligence
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Journal Articles

Physics-informed line graph neural network for power flow calculation

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Hai-Feng Zhang, Xin-Long Lu, Xiao Ding, Xiao-Ming Zhang
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 34, 113123 (2024)
https://doi.org/10.1063/5.0235301
Published: November 2024
View articletitled, Physics-informed line graph neural network for power flow calculation
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Journal Articles

Synchronization dynamics of phase oscillators on power grid models

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Max Potratzki, Timo Bröhl, Thorsten Rings, Klaus Lehnertz
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 34, 043131 (2024)
https://doi.org/10.1063/5.0197930
Published: April 2024
View articletitled, Synchronization dynamics of phase oscillators on power grid models
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Journal Articles

Robustness of coupled networks with multiple support from functional components at different scales

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Gaogao Dong, Nannan Sun, Menglong Yan, Fan Wang, Renaud Lambiotte
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 34, 043122 (2024)
https://doi.org/10.1063/5.0198732
Published: April 2024
View articletitled, Robustness of coupled networks with multiple support from functional components at different scales
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Journal Articles

Chimera-like states in neural networks and power systems

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Shengfeng Deng, Géza Ódor
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 34, 033135 (2024)
https://doi.org/10.1063/5.0154581
Published: March 2024
View articletitled, Chimera-like states in neural networks and power systems
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Journal Articles

Synchronization stability and multi-timescale analysis of renewable-dominated power systems

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Rui Ma, Yayao Zhang, Miao Han, Jürgen Kurths, Meng Zhan
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 33, 082101 (2023)
https://doi.org/10.1063/5.0156459
Published: August 2023
View articletitled, Synchronization stability and multi-timescale analysis of renewable-dominated power systems
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Journal Articles

Synchronization stability of power-grid-tied converters

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Rui Ma, Yayao Zhang, Ziqian Yang, Jürgen Kurths, Meng Zhan, Congping Lin
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 33, 032102 (2023)
https://doi.org/10.1063/5.0136975
Published: March 2023
View articletitled, Synchronization stability of power-grid-tied converters
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Journal Articles

Emergency rate-driven control for rotor angle instability in power systems

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Suchithra K. S., Gopalakrishnan E. A., Jürgen Kurths, E. Surovyatkina
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 32, 061102 (2022)
https://doi.org/10.1063/5.0093450
Published: June 2022
View articletitled, Emergency rate-driven control for rotor angle instability in power systems
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Journal Articles

Introduction to Focus Issue: Dynamics of modern power grids

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Mehrnaz Anvari, Frank Hellmann, Xiaozhu Zhang
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 30, 063140 (2020)
https://doi.org/10.1063/5.0016372
Published: June 2020
View articletitled, Introduction to Focus Issue: Dynamics of modern power grids
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Journal Articles

A multiplex, multi-timescale model approach for economic and frequency control in power grids

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Lia Strenge, Paul Schultz, Jürgen Kurths, Jörg Raisch, Frank Hellmann
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 30, 033138 (2020)
https://doi.org/10.1063/1.5132335
Published: March 2020
View articletitled, A multiplex, multi-timescale model approach for economic and frequency control in power grids
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Journal Articles

Impact of network topology on the stability of DC microgrids

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J. F. Wienand, D. Eidmann, J. Kremers, J. Heitzig, F. Hellmann, J. Kurths
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 29, 113109 (2019)
https://doi.org/10.1063/1.5110348
Published: November 2019
View articletitled, Impact of network topology on the stability of DC microgrids
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Journal Articles

On structural and dynamical factors determining the integrated basin instability of power-grid nodes

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Heetae Kim, Mi Jin Lee, Sang Hoon Lee, Seung-Woo Son
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 29, 103132 (2019)
https://doi.org/10.1063/1.5115532
Published: October 2019
View articletitled, On structural and dynamical factors determining the integrated basin instability of power-grid nodes
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Journal Articles

Effects of stressor characteristics on early warning signs of critical transitions and “critical coupling” in complex dynamical systems

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Steffen O. P. Blume, Giovanni Sansavini
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 27, 121101 (2017)
https://doi.org/10.1063/1.5008315
Published: December 2017
View articletitled, Effects of stressor characteristics on early warning signs of critical transitions and “critical coupling” in complex dynamical systems
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Journal Articles

Cycle flows and multistability in oscillatory networks

Open Access
Debsankha Manik, Marc Timme, Dirk Witthaut
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 27, 083123 (2017)
https://doi.org/10.1063/1.4994177
Published: August 2017
View articletitled, Cycle flows and multistability in oscillatory networks
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Journal Articles

Power-functional network

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Yong Sun, Jürgen Kurths, Meng Zhan
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 27, 083116 (2017)
https://doi.org/10.1063/1.4995361
Published: August 2017
View articletitled, Power-functional network
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Journal Articles

Synchronization of cyclic power grids: Equilibria and stability of the synchronous state

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Kaihua Xi, Johan L. A. Dubbeldam, Hai Xiang Lin
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 27, 013109 (2017)
https://doi.org/10.1063/1.4973770
Published: January 2017
View articletitled, Synchronization of cyclic power grids: Equilibria and stability of the synchronous state
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Includes: Supplementary data
Journal Articles

On synchronization in power-grids modelled as networks of second-order Kuramoto oscillators

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J. M. V. Grzybowski, E. E. N. Macau, T. Yoneyama
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 26, 113113 (2016)
https://doi.org/10.1063/1.4967850
Published: November 2016
View articletitled, On synchronization in power-grids modelled as networks of second-order Kuramoto oscillators
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Journal Articles

The interplay of network structure and dispatch solutions in power grid cascading failures

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Jose M. Reynolds-Barredo, David E. Newman, Benjamin A. Carreras, Ian Dobson
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 26, 113111 (2016)
https://doi.org/10.1063/1.4967736
Published: November 2016
View articletitled, The interplay of network structure and dispatch solutions in power grid cascading failures
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Journal Articles

Risk measures for power failures in transmission systems

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Alex Cassidy, Zachary Feinstein, Arye Nehorai
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 26, 113110 (2016)
https://doi.org/10.1063/1.4967230
Published: November 2016
View articletitled, Risk measures for power failures in transmission systems
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