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306 L. Battisti et al.<br />

57.2 Analysis of the Results<br />

The investigation was focused on assessing the magnitude of the thermal<br />

anti-icing power, varying the size and type (1, 2 or 3 blades) of the wind<br />

turbine. In the latter case, the number of blades was changed keeping the<br />

rotor diameter and solidity constant. Under such an assumption, the velocity<br />

triangles change only because so does the Prandtl tip loss factor that explicitly<br />

depends on the number of blades. The rotors used were generated by means<br />

of a BEM code, which showed that for all the study cases considered, the<br />

angle of attack ranged between 2 ◦ and 12 ◦ from the middle to the tip. The<br />

environmental data reported in Table 57.1 were used to compute the anti-icing<br />

heat flux requirement for the chosen rotors. A temperature of 2 ◦ Cwasseton<br />

the blade’s outer surface to create a running wet condition over the external<br />

heated surface.<br />

57.3 Anti-Icing Power as a Function of the Machine Size<br />

Four 3-bladed turbines with different rated power output were selected (see<br />

Table 57.2). The heated spanwise length along the blade radius L, and the<br />

width H of the heated zone are shown in Table 57.2.<br />

Trials on ice accretion suggested keeping the same width of the heated<br />

zone for all wind turbines. In fact as the turbines size decreases, the chord<br />

length decreases as well, while the water collection increases. L corresponds<br />

to the profiled length of the blade for all cases. The anti-icing heat flux qt,<br />

averaged on the heated blade’s area, is reported in Fig. 57.1a. A larger heat<br />

flux has to be supplied to the bigger rotors since the heated area lies close to<br />

the leading edge where the heat exchange reaches a peak. Such a behaviour<br />

is emphasized for blades working at high AoA since higher convective heat<br />

exchange coefficient and water collection occur onto the blade’s surface. The<br />

overall thermal power Qt = qt ∗ Nblades ∗ Aheated (Fig. 57.1b) increases with<br />

the turbine size as a consequence of the increase of the area to be heated.<br />

Table 57.1. Site variables used for the simulations<br />

Ts ( ◦ C) T∞ ( ◦ C) p∞ (Pa) Rh (–) LWC (g m −3 ) MVD<br />

Table 57.2. Turbine data used for a comparison of the anti-icing thermal power<br />

with respect to machine size<br />

Pr (kW) D (m) Z (–) Nr (rpm) Vr (m s −1 ) NACA airfoil L (m) H (m)<br />

M1 726 40.76 3 33.21 12.5 44xx 16.1 0.32<br />

M2 1,630 61.12 3 22.15 12.5 44xx 24.1 0.32<br />

M3 3,668 91.68 3 14.76 12.5 44xx 36.2 0.32<br />

M4 6,522 122.24 3 11.06 12.5 44xx 48.2 0.32

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