A wind fleet's output

PHYSICS · Multi-part · Fermi University Physics · Earth, Climate & Energy Physics · Energy systems, storage and demand · Energy systems, storage and demand

Energy from Physics, Ch The grid with variable renewables: power flow, inertia, adequacy and electrification

Problem

A wind fleet's output, expressed as a fraction of its rated capacity over a representative year, has been condensed into three levels: zero output for

30\%

of the hours, half output for

40\%

of the hours, and full output for the remaining

30\%

of the hours. The fleet is built at the size (

b=1

) whose annual mean output equals a flat demand

L = 10\,\mathrm{GW}

. ((a)) Find the rated capacity of the

b=1

fleet. ((b)) The fleet is overbuilt to

b=2

(twice this rated capacity), keeping the same duration curve of output fractions. Predict the fraction of the demand met and the fraction of the fleet's output that is curtailed.

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