Hydropower Water Usage Calculator
Hydropower Water Usage Calculator estimates the water flow rate and optional volume required for hydropower generation based on power output, turbine efficiency, and head height, with a detailed breakdown and step-by-step calculations.
Formulas Used in Hydropower Water Usage Calculator
The calculator uses the following formulas to estimate water usage for hydropower generation:
Power Output:
\\[ P = \eta \cdot \rho \cdot g \cdot h \cdot Q \\]Where:
- \\( P \\): Power output (W)
- \\( \eta \\): Turbine efficiency (0 to 1)
- \\( \rho \\): Density of water (1000 kg/m³)
- \\( g \\): Gravitational acceleration (9.81 m/s²)
- \\( h \\): Head height (m)
- \\( Q \\): Flow rate (m³/s)
Flow Rate:
\\[ Q = \frac{P}{\eta \cdot \rho \cdot g \cdot h} \\]Volume (if time is provided):
\\[ V = Q \cdot t \\]Where:
- \\( V \\): Total volume (m³)
- \\( t \\): Time period (s)
Example Calculations
Example 1: Small-Scale Hydropower
Input: Power = 100,000 W (100 kW), Efficiency = 0.8 (80%), Head = 10 m, Time = 0 s
Result: Flow Rate = 1.274 m³/s
Example 2: Medium-Scale Hydropower
Input: Power = 1,000,000 W (1 MW), Efficiency = 0.9 (90%), Head = 50 m, Time = 0 s
Result: Flow Rate = 2.265 m³/s
Example 3: Large-Scale Hydropower with Volume
Input: Power = 10,000,000 W (10 MW), Efficiency = 0.85 (85%), Head = 100 m, Time = 3600 s (1 hour)
Result: Flow Rate = 11.992 m³/s, Total Volume = 43,171.2 m³