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Hydroelectric Power — result sheet
Calculate idealized hydraulic and delivered electrical power from entered water flow, hydraulic head, and efficiency.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Hydraulic power P_h = rho x g x Q x H with rho = 1,000 kg/m^3 and g = 9.80665 m/s^2; delivered electrical power P_e = P_h x efficiency/100.
This ideal entered-value model converts water flow and hydraulic head into hydraulic power, then applies the entered efficiency to estimate delivered electrical power. It is arithmetic only, not site potential, turbine sizing, dam design, grid output, or safety advice.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Water flow — m^3/s; Finite nonnegative entered flow rate.; minimum 0; maximum 1000000
- Hydraulic head — m; Finite nonnegative vertical-energy-equivalent head.; minimum 0; maximum 10000
- Efficiency — %; Enter the idealized conversion efficiency as a percent.; minimum 0; maximum 100
Worked example
| Input | Value |
|---|---|
| Water flow | 10 |
| Hydraulic head | 20 |
| Efficiency | 80 |
Hydraulic power 1,961,330 W (1,961.33 kW); delivered electrical power 1,569,064 W (1,569.064 kW).
Assumptions and limits
- Flow is a finite nonnegative rate in cubic metres per second and head is a finite nonnegative value in metres for the same entered condition.
- Water density is fixed at 1,000 kg/m^3 and standard gravity is fixed at 9.80665 m/s^2; temperature, elevation, pressure, and measurement uncertainty are not modeled.
- Efficiency is an entered percentage from 0 to 100, and the output is an ideal arithmetic estimate rather than a site assessment, design result, grid commitment, or safety determination.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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