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Aerodynamic calculation of loads and dynamic behavior of wind ...

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Contents<br />

Πεξίιεςε .......................................................................................................................... 7<br />

Abstract ............................................................................................................................. 8<br />

1 Introduction ......................................................................................................... 10<br />

1.1 General ........................................................................................................ 10<br />

1.2 Thesis’s objective ........................................................................................ 11<br />

2 The <strong>wind</strong> resource ............................................................................................... 13<br />

2.1 Wind variations ........................................................................................... 13<br />

2.2 Turbulence intensity .................................................................................... 14<br />

2.3 The boundary layer properties ..................................................................... 16<br />

2.4 The <strong>wind</strong> velocity as a stochastic process ................................................... 17<br />

2.5 Wind simulation .......................................................................................... 21<br />

3 <strong>Aero<strong>dynamic</strong></strong>s <strong>of</strong> a <strong>wind</strong> turbine ......................................................................... 27<br />

3.1 Actuator disk concept .................................................................................. 27<br />

3.2 Rotor disk theory ......................................................................................... 33<br />

3.3 An abstract definition <strong>of</strong> <strong>loads</strong>’ fundamentals ............................................. 38<br />

3.4 The blade element – momentum (BEM) theory .......................................... 41<br />

3.5 Five significant points concerning B.E.M. .................................................. 44<br />

3.6 An alternative method ................................................................................. 45<br />

3.7 Tower shadow ............................................................................................. 46<br />

4 The algorithm ...................................................................................................... 48<br />

4.1 General ........................................................................................................ 48<br />

4.2 Flow <strong>of</strong> the algorithm .................................................................................. 48<br />

4.3 Accuracy <strong>of</strong> the algorithm ........................................................................... 49<br />

5 Results ................................................................................................................. 53<br />

5.1 The two methods <strong>of</strong> induction factors’ <strong>calculation</strong> ..................................... 53<br />

5.2 Out-<strong>of</strong>-plane <strong>and</strong> in-plane force <strong>calculation</strong> for constant <strong>wind</strong> velocity ..... 54<br />

5.3 Generation <strong>of</strong> <strong>wind</strong> velocity time histories .................................................. 59<br />

5.4 Generation <strong>of</strong> aero<strong>dynamic</strong>-<strong>loads</strong> time histories ......................................... 64<br />

6 Dynamic Analysis ............................................................................................... 67<br />

6.1 General ........................................................................................................ 67<br />

6.2 Tower model ................................................................................................ 67<br />

6.3 Tower loading .............................................................................................. 70<br />

6.3.1 Displacements ....................................................................................... 70<br />

6.3.2 Stresses .................................................................................................. 76<br />

7 Final remarks <strong>and</strong> suggestions for further research ............................................. 85<br />

8 References ........................................................................................................... 86<br />

6

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