7,503 research outputs found
The Impact of Local Power Balance and Link Reliability on Blackout Risk in Heterogeneous Power Transmission Grids
Many critical infrastructures such as the power transmission grid are heterogeneous both in their basic structure and in some of their underlying characteristics, This heterogeneity can be good for system robustness if it reduces the spread of failures or bad if it adds risk or vulnerability to the system. In this paper we investigate the effect of heterogeneity in the strength of the links between parts of the system network structures, as well as the balance of local generation and demand, on the robustness of the power transmission grid using the OPA complex system model of the power transmission system. It is found that increasing or decreasing the reliability of the links between parts of the grid changes the likelihood of different size failures with neither being optimal for all sizes. Furthermore, imbalances between load and generation in the local regions further degrades the system reliability
Random walks on complex networks with inhomogeneous impact
In many complex systems, for the activity f(i) of the constituents or nodes
i, a power-law relationship was discovered between the standard deviation
sigma(i) and the average strength of the activity: sigma(i) ~ ^alpha;
universal values alpha = 1/2 or 1 were found, however, with exceptions. With
the help of an impact variable we introduce a random walk model where the
activity is the product of the number of visitors at a node and their impact.
If the impact depends strongly on the node connectivity and the properties of
the carrying network are broadly distributed (like in a scale free network) we
find both analytically and numerically non-universal alpha values. The exponent
always crosses over to the universal value of 1 if the external drive
dominates.Comment: 4 pages, 3 figures, revised tex
Effective dimensions and percolation in hierarchically structured scale-free networks
We introduce appropriate definitions of dimensions in order to characterize
the fractal properties of complex networks. We compute these dimensions in a
hierarchically structured network of particular interest. In spite of the
nontrivial character of this network that displays scale-free connectivity
among other features, it turns out to be approximately one-dimensional. The
dimensional characterization is in agreement with the results on statistics of
site percolation and other dynamical processes implemented on such a network.Comment: 5 pages, 5 figure
A new formulation of compartmental epidemic modelling for arbitrary distributions of incubation and removal times
The paradigm for compartment models in epidemiology assumes exponentially
distributed incubation and removal times, which is not realistic in actual
populations. Commonly used variations with multiple exponentially distributed
variables are more flexible, yet do not allow for arbitrary distributions. We
present a new formulation, focussing on the SEIR concept that allows to include
general distributions of incubation and removal times. We compare the solution
to two types of agent-based model simulations, a spatially homogeneous one
where infection occurs by proximity, and a model on a scale-free network with
varying clustering properties, where the infection between any two agents
occurs via their link if it exists. We find good agreement in both cases.
Furthermore a family of asymptotic solutions of the equations is found in terms
of a logistic curve, which after a non-universal time shift, fits extremely
well all the microdynamical simulations. The formulation allows for a simple
numerical approach; software in Julia and Python is provided.Comment: 21 pages, 11 figures. v2 matches published version: improved
presentation (including title, abstract and references), results and
conclusions unchange
Spatial networks with wireless applications
Many networks have nodes located in physical space, with links more common
between closely spaced pairs of nodes. For example, the nodes could be wireless
devices and links communication channels in a wireless mesh network. We
describe recent work involving such networks, considering effects due to the
geometry (convex,non-convex, and fractal), node distribution,
distance-dependent link probability, mobility, directivity and interference.Comment: Review article- an amended version with a new title from the origina
Effect of disorder and noise in shaping the dynamics of power grids
The aim of this paper is to investigate complex dynamic networks which can
model high-voltage power grids with renewable, fluctuating energy sources. For
this purpose we use the Kuramoto model with inertia to model the network of
power plants and consumers. In particular, we analyse the synchronization
transition of networks of phase oscillators with inertia (rotators) whose
natural frequencies are bimodally distributed, corresponding to the
distribution of generator and consumer power. First, we start from globally
coupled networks whose links are successively diluted, resulting in a random
Erd\"os-Renyi network. We focus on the changes in the hysteretic loop while
varying inertial mass and dilution. Second, we implement Gaussian white noise
describing the randomly fluctuating input power, and investigate its role in
shaping the dynamics. Finally, we briefly discuss power grid networks under the
impact of both topological disorder and external noise sources.Comment: 7 pages, 6 figure
Piezospectroscopic measurement of high-frequency vibrations in a pulse-tube cryostat
Vibrations in cryocoolers are a recurrent concern to the end user. They
appear in different parts of the acoustic spectrum depending on the
refrigerator type, Gifford McMahon or pulse-tube, and with a variable coupling
strength to the physical system under interest. Here, we use the
piezospectroscopic effect in rare-earth doped crystals at low temperature as a
high resolution, contact-less probe for the vibrations. With this optical
spectroscopic technique, we obtain and analyze the vibration spectrum up to
700kHz of a 2kW pulse-tube cooler. We attempt an absolute calibration based on
known experimental parameters to make our method partially quantitative and to
provide a possible comparison with other well-established techniques
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