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- Martin Rohden, Andreas Sorge, Marc Timme, Dirk Witthaut
- Physical review letters
- 2012

Robust synchronization (phase locking) of power plants and consumers centrally underlies the stable operation of electric power grids. Despite current attempts to control large-scale networks, even their uncontrolled collective dynamics is not fully understood. Here we analyze conditions enabling self-organized synchronization in oscillator networks that… (More)

- Martin Rohden, Andreas Sorge, Dirk Witthaut, Marc Timme
- Chaos
- 2014

Replacing conventional power sources by renewable sources in current power grids drastically alters their structure and functionality. In particular, power generation in the resulting grid will be far more decentralized, with a distinctly different topology. Here, we analyze the impact of grid topologies on spontaneous synchronization, considering regular,… (More)

- Dirk Witthaut, Marc Timme
- 2012

Robust synchronization is essential to ensure the stable operation of many complex networked systems such as electric power grids. Increasing energy demands and more strongly distributing power sources raise the question of where to add new connection lines to the already existing grid. Here we study how the addition of individual links impacts the… (More)

- Dirk Witthaut, Marc Timme
- Physical review. E, Statistical, nonlinear, and…
- 2014

The Kuramoto model constitutes a paradigmatic model for the dissipative collective dynamics of coupled oscillators, characterizing in particular the emergence of synchrony (phase locking). Here we present a classical Hamiltonian (and thus conservative) system with 2N state variables that in its action-angle representation exactly yields Kuramoto dynamics on… (More)

- Dirk Witthaut, Marc Timme
- Physical review. E, Statistical, nonlinear, and…
- 2015

We study the propagation of cascading failures in complex supply networks with a focus on nonlocal effects occurring far away from the initial failure. It is shown that a high clustering and a small average path length of a network generally suppress nonlocal overloads. These properties are typical for many real-world networks, often called small-world… (More)

- Dirk Witthaut, Marc Timme
- 2013

How do local topological changes affect the global operation and stability of complex supply networks? Studying supply networks on various levels of abstraction, we demonstrate that and how adding new links may not only promote but also degrade stable operation of a network. Intriguingly, the resulting overloads may emerge remotely from where such a link is… (More)

- Henrik Ronellenfitsch, Marc Timme, Dirk Witthaut
- ArXiv
- 2015

Power Transfer Distribution Factors (PTDFs) play a crucial role in power grid security analysis, planning, and redispatch. Fast calculation of the PTDFs is therefore of great importance. In this letter, we present a dual method of computing PTDFs. It uses power flows along topological cycles of the network but still relies on simple matrix algebra. For… (More)

- Dirk Witthaut, Martin Rohden, Xiaozhu Zhang, Sarah Hallerberg, Marc Timme
- Physical review letters
- 2016

Link failures repeatedly induce large-scale outages in power grids and other supply networks. Yet, it is still not well understood which links are particularly prone to inducing such outages. Here we analyze how the nature and location of each link impact the network's capability to maintain a stable supply. We propose two criteria to identify critical… (More)

- Debsankha Manik, Dirk Witthaut, +5 authors Marc Timme
- 2014

Supply and transport networks support much of our technical infrastructure as well as many biological processes. Their reliable function is thus essential for all aspects of life. Transport processes involving quantities beyond the pure loads exhibit alternative collective dynamical options compared to processes exclusively characterized by loads. Here we… (More)

- Farnaz Basiri, Jose Casadiego, Marc Timme, Dirk Witthaut
- ArXiv
- 2017

We develop methods to efficiently reconstruct the topology and line parameters of a power grid from the measurement of nodal variables. We propose two compressed sensing algorithms that minimize the amount of necessary measurement resources by exploiting network sparsity, symmetry of connections and potential prior knowledge about the connectivity. The… (More)