User Tools

Site Tools

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revisionPrevious revision
Next revision		Previous revision
playground:playground [2012/03/31 02:46] – shureplayground:playground [2013/06/09 12:58] (current) – chrono
Line 1: Line 1:
 +~~NOCACHE~~
  
 +====== PlayGround ======
 +
 +
 +
 +{{:playground:chart.png?nolink|}}
 +
 +<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>
 +
 +
 +{{:cache_mathplugin:math_937_274670d8b3ee7744a2b058e90bc1988e.png?nolink|}}
 +
 +<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^2}[W]
 +|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}|P_{\rho=0.3}
 +|1.8|0.35|0.07|0.1
 +|4.5|5.5|1.1|1.65
 +|6.25|15|3|4.5
 +|8.0|32|6.4|9.6
 +|m/s|P_{wind_0.1536m^2} [W]|P_{\rho=0.2}|P_{\rho=0.3}
 +|1.8|0.5||0.1|0.15
 +|4.5|8.2||1.65|2.5
 +|6.25|22.6||4.5|6.8
 +|8.0|48||9.6|14.4
 +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>
Trace:

Page Tools