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ESP32/wind.md
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4. Horizontal Wind Turbine (HAWT) Solution and Comparison

Example: Commercial HAWT (ManoMano)

  • Product: 800W, 6-blade HAWT (link)
  • Rotor Diameter: ~1.05m (area ≈ 0.87 m²)
  • Rated Power: 800W (at high wind speeds, e.g., 12-15 m/s)
  • Cut-in Wind Speed: 1 m/s (starts turning)
  • Nominal Voltage: 12/24V

Realistic Power Output Calculation

  • At 1.5m height: Wind speed is still low (see VAWT section)
  • Average wind speed used: Same as VAWT, 3.3 m/s
  • HAWT efficiency: Typically 30-35% (use 30% for estimate)

Power Formula


P = 0.5 \times \rho \times A \times v^3 \times \text{efficiency}

Where:

  • A = 0.87 m²
  • v = monthly average wind speed (see VAWT table)
  • \rho = 1.225 kg/m³
  • Efficiency = 0.30

Monthly Power Output Table

Month v (m/s) P_avg (W) kWh/month
January 4.0 10.3 7.7
February 4.0 10.3 7.0
March 3.8 8.8 6.5
April 3.5 6.9 5.0
May 3.2 5.2 3.9
June 3.0 4.3 3.1
July 2.8 3.5 2.6
August 2.8 3.5 2.6
September 3.0 4.3 3.1
October 3.3 5.4 4.1
November 3.6 7.3 5.2
December 3.9 8.5 6.3

Annual total: ~57 kWh/year


Comparison: VAWT vs HAWT

Type Area (m²) Efficiency Annual Energy (kWh) Pros Cons
VAWT 1.0 25% ~54 Simple, omni-directional, easy to build Lower efficiency, less power at low height
HAWT 0.87 30% ~57 Higher efficiency, more power at same wind Needs to face wind, more complex, needs tail/yaw
  • Both types at 1.5m height produce similar (low) annual energy due to low wind speed.
  • HAWT is slightly more efficient, but complexity and need to face wind are drawbacks.
  • Commercial 800W HAWT will only reach rated power in very strong winds (rare at 1.5m).

Recommendations

  • For learning and experimentation, both types are valid.
  • For best results, try to raise the turbine higher (wind speed increases rapidly with height).
  • Use data logging to compare real output with theoretical predictions.
  • Consider safety and local regulations for both types.

Additional References

Wind Turbine Experiment in Plounéventer, France (29400)

1. Estimating Wind Power Output

Key Parameters

  • Location: Plounéventer, France (29400)
  • Turbine Type: Vertical Axis Wind Turbine (VAWT)
  • Height: 1.5 meters above ground
  • Swept Area: 1 m²
  • Field: Open, unobstructed

Wind Resource Estimation

  • Average wind speed at 10m in Plounéventer: ~5.5 m/s (source: wind resource maps)
  • At 1.5m height: Wind speed is lower due to ground friction. Estimate: ~60% of 10m value ≈ 3.3 m/s

Power Calculation Formula

Theoretical wind power:


P = \frac{1}{2} \cdot \rho \cdot A \cdot v^3

Where:

  • P = Power (W)
  • \rho = Air density (1.225 kg/m³)
  • A = Swept area (1 m²)
  • v = Wind speed (m/s)

Turbine efficiency (Betz limit): Max 59%, but real VAWT: 20-30%. Use 25% for estimate.

Monthly Wind Speed Estimates

Month Avg Wind Speed (m/s)
January 4.0
February 4.0
March 3.8
April 3.5
May 3.2
June 3.0
July 2.8
August 2.8
September 3.0
October 3.3
November 3.6
December 3.9

Monthly Power Output Calculation

For each month:


P_{avg} = 0.5 \times 1.225 \times 1 \times v^3 \times 0.25
Month v (m/s) P_avg (W) kWh/month
January 4.0 9.8 7.3
February 4.0 9.8 6.6
March 3.8 8.4 6.2
April 3.5 6.6 4.8
May 3.2 5.0 3.7
June 3.0 4.1 3.0
July 2.8 3.3 2.5
August 2.8 3.3 2.5
September 3.0 4.1 3.0
October 3.3 5.2 3.9
November 3.6 7.0 5.0
December 3.9 8.1 6.0

Annual total: ~54 kWh/year


2. Best Practices for Your Experiment

A. Turbine Design

  • Use a simple, robust VAWT design (e.g., Savonius or Darrieus)
  • Ensure the structure is stable and safe at 1.5m height
  • Use lightweight, weather-resistant materials

B. Site Selection

  • Place turbine in the most open, unobstructed area
  • Avoid trees, buildings, or other windbreaks within 20m

C. Measurement & Data Logging

  • Use an anemometer at 1.5m to log real wind speeds
  • Install a wattmeter or data logger to record power output
  • Record data at least hourly for best results
  • Ensure the installation is secure and not a hazard
  • Check local regulations for small wind turbines

E. Optimization

  • Test different blade shapes and angles
  • Compare results with theoretical predictions
  • Try raising the turbine (if possible) to see the effect on output

3. Conclusion

  • At 1.5m, wind speeds are modest, so expect low power output (max ~10W, average much less)
  • Annual energy: ~54 kWh (best case)
  • Main value: learning about wind energy, data collection, and optimization

References