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Since the PiGI is ultimately cheap to produce once you reach the 1000 pieces boundary it would be great to put this out to the Pi-Community as a ready-to-go module, the only thing that would need soldering is the tube itself (no SMT solderig). If you're interested in having one, please vote for it below:
<math>F_{pole} = \frac{1}{2} \times \rho \times C_d \times A_{wind} \times v_{wind}^2</math>
<x>F_{pole} = \frac{1}{2} \times \rho \times C_d \times A_{wind} \times v_{wind}^2</x>
<x>\rho</x> = Density of air = about 1.2 Kg/m³ <br /> <note warning>C_d = Coefficient of drag = 1.0 (cylinder Re > 100) <br /></note> <math2>A_{wind}</math> = Area of turbine = 4 m² <br /> <note tip><math2>v_{wind}</math> = Wind speed in m/s</note>
h_1=0.32 m d_1=0.32 m A_1=0.1024 m^2 h_2=0.48 m d_2=0.32 m A_2=0.1536 m^2
m/s | km/h | P_{wind_0.1024m | 2}[W] | P_{wind_0.1536m |
---|---|---|---|---|
1.8 | 6.5 | 0.35 | 0.5 | |
4.5 | 16.00 | 5.5 | 8.2 | |
6.25 | 22.50 | 15 | 22.6 | |
8.0 | 29 | 32 | 48 | |
m/s | P_{wind_0.1024m | 2} [W] | P_{\rho=0.2} | |
1.8 | 0.35 | 0.07 | ||
4.5 | 5.5 | 1.1 | ||
6.25 | 15 | 3 | ||
8.0 | 32 | 6.4 | ||
m/s | P_{wind_0.1536m | 2} [W] | P_{\rho=0.2} | |
1.8 | 0.5 | 0.1 | ||
4.5 | 8.2 | 1.65 | ||
6.25 | 22.6 | 4.5 | ||
8.0 | 48 | 9.6 |
Assuming a bad (20%) or decent (30%) turbine design \rho_{turbine}=0.26 A rather bad permanent magnet alternator with \rho_{alternator}=0.75; A normal synchronous rectifier with superb-by-design perfomance of \rho_{rect}=0.98; A buck-boost inverter with a good performance of \rho_{rect}=0.85; ⇒ \rho_{overall}=0.25*0.75*0.98*0.85=0.16
<references />
<math> \Rho_{simple drag turbine} = 20% \Rho_{decent} = 30% \Rho_{good} = 30% \Rho_{superb vawt} = 40% </math>