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Hydroelectric Power Generation Calculations

Hydroelectric Power Equation:

\[ P = \eta \times \rho \times g \times h \times Q \]

(decimal 0-1)
kg/m³
meters
m³/s

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1. What is Hydroelectric Power Calculation?

The hydroelectric power calculation estimates the electrical power that can be generated from a water source based on its flow rate and vertical drop (head), accounting for system efficiency and water density.

2. How Does the Calculator Work?

The calculator uses the hydroelectric power equation:

\[ P = \eta \times \rho \times g \times h \times Q \]

Where:

Explanation: The equation calculates the theoretical power available from falling water, then applies the system's efficiency factor to determine actual electrical output.

3. Importance of Hydro Power Calculation

Details: Accurate power estimation is crucial for designing hydroelectric systems, assessing potential energy production, and evaluating project feasibility.

4. Using the Calculator

Tips: Enter efficiency as decimal (e.g., 0.85 for 85%), use standard water density (1000 kg/m³) unless special conditions, and ensure consistent units for head and flow rate.

5. Frequently Asked Questions (FAQ)

Q1: What is typical efficiency for hydro systems?
A: Modern systems range from 80-95% efficiency, with larger plants typically more efficient than small-scale installations.

Q2: How does head affect power output?
A: Power is directly proportional to head - doubling the head doubles the power output with all else equal.

Q3: What flow rate is needed for 1 MW?
A: At 85% efficiency and 100m head: ~1.2 m³/s flow would generate 1 MW (1000 kW).

Q4: Does water temperature matter?
A: Yes, density changes slightly with temperature (about 0.2% per °C), but usually negligible for practical calculations.

Q5: Can this be used for tidal power?
A: The same principles apply, but tidal calculations must account for bidirectional flow and varying head conditions.

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