Wind+Power+calculations

__**Power Calculations**__ Total Available Wind Power at the Turbine Rotor Blades(P) = 1/2ρ(rho)V³A Where; ρ = density of air = 1.225 (kg/m³) @ 15°C at sea level V = Average air velocity (m/s) A = Rotor swept area Area = πr² r = 1/2 rotor diameter = 0.455m A = π(0.455)² = 0.65m²

Notes:(1) Efficiency given in the table above is the total (Wind Power to Electrical Power Conversion) efficiency, **(Power Out / Wind Power) X 100%**. Assumed losses include;
 * **Wind Speed (m/s) ** || **2 **  ||  **4 **  ||  **6 **  ||  **8 **  ||  **10 **  ||  **12 **  ||  **14 **  ||  **16 **  ||  **18 **  ||  **20 **  ||
 * **Wind Power (W) ** || 3.185 || 25.48  || 85.99  || 203.84  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">398.13  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">687.96  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">1092.5  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">1630.7  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">2321.9  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">3185  ||
 * **<span style="color: black; font-family: "Verdana","sans-serif"; font-size: 11px;">Current (A) ** || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">0.1 || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">1.14  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">2.5  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">4.14  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">6.14  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">8.26  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">11  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">13.86  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">17  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">20.43  ||
 * **<span style="color: black; font-family: "Verdana","sans-serif"; font-size: 11px;">Power Out (W) ** || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">1.2 || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">13.68  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">30  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">49.68  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">73.68  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">99.36  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">132  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">166.32  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">204  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">245.16  ||
 * **<span style="color: black; font-family: "Verdana","sans-serif"; font-size: 11px;">Efficiency (%) ** || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">37.68 || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">53.69  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">34.88  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">24.37  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">18.5  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">14.44  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">12.08  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">10.2  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">8.8  || <span style="color: black; display: block; font-family: "Verdana","sans-serif"; font-size: 11px; text-align: right;">7.7  ||
 * Wind power losses (Betz Law)
 * Mechanical losses in the turbine
 * No-load losses in the generator

(2) Air flow at the turbine blades (for the purpose of calculations) is assumed to be laminar. (3) Values for Current (charge current into 12v battery) were taken from the Rutland 913 Performance Graph in the Graduate PowerEd Owner's Manual and Installation Guide. Values for Power Out were derived by multiplying the charging current at each wind speed by 12v.

__**Method for calculating expected average wind speeds.**__ Using the volumetric flow rates taken from the Ziehl-Abegg FC071-4D_.7M._ axial ventilator data sheet and the measured wind tunnel internal cross sectional area, the predicted average wind speed was calculated as follows; V=Q/A Where Q = volumetric flow rate A = internal area of the wind tunnel V = average wind velocity Area = length x width = 0.95 x 0.95 = 0.9025m² Eg. 14,000 m³/h = 3.88m³/sec Therefore V = 3.88/0.9025 = 4.309m/s for 400Volts ② as per data sheet.
 * Note Q is given in m³/hour which is converted to m³/sec by dividing by 3,600