Pumped Storage Hydropower Calculator

Formulas

The Pumped Storage Hydropower Calculator uses the following formula to estimate stored energy:

• Energy (\( E \)) = \( \eta \times \rho \times g \times h \times V \)
• Where:
  • \( \eta = \text{Efficiency (as a decimal, e.g., 85% = 0.85)} \)
  • \( \rho = \text{Water density (1000 kg/m³)} \)
  • \( g = \text{Acceleration due to gravity (9.81 m/s²)} \)
  • \( h = \text{Head (height difference in meters)} \)
  • \( V = \text{Water volume (in m³)} \)

How to Use

1. Enter the head (in meters) in the “Head” field.
2. Enter the water volume (in m³) in the “Water Volume” field.
3. Enter the efficiency (in percent) in the “Efficiency” field.
4. Optionally, click an adjust button to set typical values (e.g., Low Head).
5. Click “Calculate Energy” to see your results.
6. Scroll to the “Results” section for detailed calculations.
7. Use the share buttons to share your energy output or embed the calculator.

Examples

1. Example 1: Head = 100m, Volume = 10000 m³, Efficiency = 85%
   Energy = 0.85 × 1000 × 9.81 × 100 × 10000 = 8,338,500,000 J (8.34 GJ)
2. Example 2: Head = 50m, Volume = 20000 m³, Efficiency = 90%
   Energy = 0.90 × 1000 × 9.81 × 50 × 20000 = 8,822,100,000 J (8.82 GJ)
3. Example 3: Head = 200m, Volume = 5000 m³, Efficiency = 80%
   Energy = 0.80 × 1000 × 9.81 × 200 × 5000 = 7,848,000,000 J (7.85 GJ)