publication . Article . Preprint . 2018

Propagation of Disturbances in AC Electricity Grids.

Tamrakar, Samyak Ratna; Conrath, Michael; Kettemann, Stefan;
Open Access English
  • Published: 01 Apr 2018 Journal: Scientific Reports (issn: 2045-2322, Copyright policy)
  • Publisher: Nature Publishing Group
Abstract
Abstract The energy transition towards high shares of renewable energy will affect the stability of electricity grids in many ways. Here, we aim to study its impact on propagation of disturbances by solving nonlinear swing equations describing coupled rotating masses of synchronous generators and motors on different grid topologies. We consider a tree, a square grid and as a real grid topology, the german transmission grid. We identify ranges of parameters with different transient dynamics: the disturbance decays exponentially in time, superimposed by oscillations with the fast decay rate of a single node, or with a smaller decay rate without oscillations. Most ...
Subjects
arXiv: Computer Science::Distributed, Parallel, and Cluster Computing
free text keywords: Medicine, R, Science, Q, Article, Physics - Physics and Society, Physics - Applied Physics, Multidisciplinary, Physics, Nonlinear system, Spectral gap, Power law, Topology, Oscillation, Exponential function, Network topology, Inertia, media_common.quotation_subject, media_common, Grid
33 references, page 1 of 3

Ulbig, A, Borsche, TS, Andersson, G. Impact of low rotational inertia on power system stability and operation. IFAC Proceedings Volumes. 2014; 14 (3): 7290-7297 [DOI]

2.Kundur, P. Power System Stability and Control. (Mc Graw Hill, 1994).

3.Machowski, J., Bialek, J. W. & Bumby, J. R. Power Sy stem Dynamics: Stability and Control. (Wiley, 2008).

Bergen, AR, Hill, DJ. A structure preserving model for power system stability analysis. IEEE Trans. on Power App. and Syst.. 1981; 100 (1): 25-35 [DOI]

Filatrella, G, Nielsen, AH, Pedersen, NF. Analysis of a power grid using a Kuramoto-like model. Eur Phys. J. B. 2008; 61 (4): 485-491 [OpenAIRE] [DOI]

Rohden, M, Sorge, A, Timme, M, Witthaut, D. Self-organized synchronization in decentralized power grids. Phys. Rev. Lett.. 2012; 109 (6): 064101 [OpenAIRE] [PubMed] [DOI]

Schmietendorf, K, Peinke, J, Friedrich, R, Kamps, RO. Self-organized synchronization and voltage stability in networks of synchronous machines. Eur. Phys. J. Spec. Top.. 2014; 223 (12): 2577-2592 [OpenAIRE] [DOI]

Pourbeik, P, Kundur, P, Taylor, C. The anatomy of a power grid blackout - Root causes and dynamics of recent major blackouts. IEEE Power and Energy Magazine. 2006; 4 (5): 22-29 [DOI]

Vaiman, M, Bell, K, Chen, Y, Chowdhury, B, Dobson, I, Hines, P, Papic, M, Miller, S, Zhang, P. Risk Assessment of Cascading Outages: Methodologies and Challenges. IEEE Transactions on Power Systems. 2012; 27 (2): 631-641 [DOI]

Motter, AE, Lai, Y-C. Cascade-based attacks on complex networks. Phys. Rev. E. 2002; 66 (6): 065102(R) [OpenAIRE] [DOI]

Carreras, BA, Lynch, VE, Dobson, I, Newman, DE. Critical points and transitions in an electric power transmission model for cascading failure blackouts. Chaos. 2002; 12 (4): 985-994 [OpenAIRE] [PubMed] [DOI]

Dobson, I, Carreras, BA, Lynch, VE, Newman, DE. Complex systems analysis of series of blackouts: Cascading failure, critical points, and self-organization. Chaos. 2007; 17 (2): 026173 [OpenAIRE] [DOI]

Pahwa, S, Scoglio, C, Scala, A. Abruptness of Cascade Failures in Power Grids. Nature Scientific Reports. 2014; 4: 3694 [OpenAIRE] [DOI]

Witthaut, D, Timme, M. Nonlocal effects and countermeasures in cascading failures. Phys. Rev. E. 2015; 92 (3): 032809 [OpenAIRE] [DOI]

Rohden, M, Jung, D, Tamrakar, S, Kettemann, S. Cascading Failures in AC Electricity Grids. Phys. Rev. E. 2016; 94 (3): 032209 [OpenAIRE] [PubMed] [DOI]

33 references, page 1 of 3
Abstract
Abstract The energy transition towards high shares of renewable energy will affect the stability of electricity grids in many ways. Here, we aim to study its impact on propagation of disturbances by solving nonlinear swing equations describing coupled rotating masses of synchronous generators and motors on different grid topologies. We consider a tree, a square grid and as a real grid topology, the german transmission grid. We identify ranges of parameters with different transient dynamics: the disturbance decays exponentially in time, superimposed by oscillations with the fast decay rate of a single node, or with a smaller decay rate without oscillations. Most ...
Subjects
arXiv: Computer Science::Distributed, Parallel, and Cluster Computing
free text keywords: Medicine, R, Science, Q, Article, Physics - Physics and Society, Physics - Applied Physics, Multidisciplinary, Physics, Nonlinear system, Spectral gap, Power law, Topology, Oscillation, Exponential function, Network topology, Inertia, media_common.quotation_subject, media_common, Grid
33 references, page 1 of 3

Ulbig, A, Borsche, TS, Andersson, G. Impact of low rotational inertia on power system stability and operation. IFAC Proceedings Volumes. 2014; 14 (3): 7290-7297 [DOI]

2.Kundur, P. Power System Stability and Control. (Mc Graw Hill, 1994).

3.Machowski, J., Bialek, J. W. & Bumby, J. R. Power Sy stem Dynamics: Stability and Control. (Wiley, 2008).

Bergen, AR, Hill, DJ. A structure preserving model for power system stability analysis. IEEE Trans. on Power App. and Syst.. 1981; 100 (1): 25-35 [DOI]

Filatrella, G, Nielsen, AH, Pedersen, NF. Analysis of a power grid using a Kuramoto-like model. Eur Phys. J. B. 2008; 61 (4): 485-491 [OpenAIRE] [DOI]

Rohden, M, Sorge, A, Timme, M, Witthaut, D. Self-organized synchronization in decentralized power grids. Phys. Rev. Lett.. 2012; 109 (6): 064101 [OpenAIRE] [PubMed] [DOI]

Schmietendorf, K, Peinke, J, Friedrich, R, Kamps, RO. Self-organized synchronization and voltage stability in networks of synchronous machines. Eur. Phys. J. Spec. Top.. 2014; 223 (12): 2577-2592 [OpenAIRE] [DOI]

Pourbeik, P, Kundur, P, Taylor, C. The anatomy of a power grid blackout - Root causes and dynamics of recent major blackouts. IEEE Power and Energy Magazine. 2006; 4 (5): 22-29 [DOI]

Vaiman, M, Bell, K, Chen, Y, Chowdhury, B, Dobson, I, Hines, P, Papic, M, Miller, S, Zhang, P. Risk Assessment of Cascading Outages: Methodologies and Challenges. IEEE Transactions on Power Systems. 2012; 27 (2): 631-641 [DOI]

Motter, AE, Lai, Y-C. Cascade-based attacks on complex networks. Phys. Rev. E. 2002; 66 (6): 065102(R) [OpenAIRE] [DOI]

Carreras, BA, Lynch, VE, Dobson, I, Newman, DE. Critical points and transitions in an electric power transmission model for cascading failure blackouts. Chaos. 2002; 12 (4): 985-994 [OpenAIRE] [PubMed] [DOI]

Dobson, I, Carreras, BA, Lynch, VE, Newman, DE. Complex systems analysis of series of blackouts: Cascading failure, critical points, and self-organization. Chaos. 2007; 17 (2): 026173 [OpenAIRE] [DOI]

Pahwa, S, Scoglio, C, Scala, A. Abruptness of Cascade Failures in Power Grids. Nature Scientific Reports. 2014; 4: 3694 [OpenAIRE] [DOI]

Witthaut, D, Timme, M. Nonlocal effects and countermeasures in cascading failures. Phys. Rev. E. 2015; 92 (3): 032809 [OpenAIRE] [DOI]

Rohden, M, Jung, D, Tamrakar, S, Kettemann, S. Cascading Failures in AC Electricity Grids. Phys. Rev. E. 2016; 94 (3): 032209 [OpenAIRE] [PubMed] [DOI]

33 references, page 1 of 3
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publication . Article . Preprint . 2018

Propagation of Disturbances in AC Electricity Grids.

Tamrakar, Samyak Ratna; Conrath, Michael; Kettemann, Stefan;