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26<br />

Network Perspective of <strong>Wind</strong>-Power<br />

Production<br />

Sebastian Jost, Mirko Schäfer and Martin Greiner<br />

26.1 Introduction<br />

Power production in wind farms faces fluctuations on various levels. On the<br />

level of a single turbine it is the fluctuation of the wind velocity. The intrafarm<br />

wind flow introduces more heterogeneity. At last, the accumulated power<br />

output of a wind farm itself represents a volatile source for the power grid. It<br />

is this layer which demands for a control of these source fluctuations as well<br />

as those resulting from intragrid power redistribution.<br />

New concepts for such a control can be borrowed from modern information<br />

and communication technologies. With a distributive routing and congestion<br />

control self-organizing communication networks are able to adapt to the<br />

volatile traffic sources and the current network-wide congestion state [1, 2].<br />

As a result network operation becomes very robust. The exportation of these<br />

ideas into wind-powered systems requires to see wind farms as well as the<br />

power grid from the network perspective [3].<br />

This contribution represents a first modest step along this network direction.<br />

It makes use of the critical-infrastructure model proposed in [4],<br />

which describes power grids, telecommunication and transport networks in<br />

abstracted form. The introduction of a load-dependent metric, a concept<br />

which is borrowed from Internet routing, is shown to increase the robustness<br />

of such networks against cascades of overload failures. It also reduces respective<br />

investment costs. Finally, two model extensions are developed, which are<br />

of relevance for a robust interaction between wind-energy sources and the<br />

power grid.<br />

26.2 Robustness in a Critical-Infrastructure Network<br />

Model<br />

The network model of [4] does not distinguish source, transmitter, and sink<br />

nodes. Every node provides/receives flow to/from every other node of the<br />

network with an equal share sif = 1. After generation at node i, the flow

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