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This is an old revision of the document!


PlayGround

Let's build it

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:

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<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/skm/hP_{wind_0.1024m2}[W]P_{wind_0.1536m
1.86.50.350.5
4.516.005.58.2
6.2522.501522.6
8.0293248
m/sP_{wind_0.1024m2} [W]P_{\rho=0.2}
1.80.350.07
4.55.51.1
6.25153
8.0326.4
m/sP_{wind_0.1536m2} [W]P_{\rho=0.2}
1.80.50.1
4.58.21.65
6.2522.64.5
8.0489.6

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>