Calculate hydroelectric power generation from water flow and head height. Estimate turbine output, annual energy, capacity factor, and revenue for micro to large-scale hydro installations.
Hydroelectric power is the largest source of renewable electricity globally, providing about 16% of the world's electricity and 60% of all renewable generation. The fundamental principle is straightforward: falling water drives a turbine connected to a generator. The available power depends on two factors—the volume of water flow (discharge) and the vertical drop (head height).
For micro and small hydro installations (under 100 kW), run-of-river systems can provide reliable, low-cost electricity for homes, farms, and small communities without the environmental disruption of large dams. A stream with just 2 meters of head and 50 liters per second of flow can generate roughly 0.8 kW of usable power—enough for a small cabin. Higher heads and greater flows scale power production proportionally.
This calculator handles everything from micro-hydro systems on small streams to large run-of-river and dam installations. Enter your water flow rate, available head height, and turbine type to estimate power output, annual energy generation, carbon savings compared to fossil fuels, and projected revenue from electricity sales or net metering.
Whether you're evaluating a mountain stream for off-grid power, sizing a turbine for a farm, or analyzing a large hydro project, this calculator gives you precise power and energy estimates based on the fundamental physics of hydroelectric generation. Keep these notes focused on your operational context. Tie the context to the calculator’s intended domain. Use this clarification to avoid ambiguous interpretation.
P = η × ρ × g × Q × H. Where P = power (watts), η = overall system efficiency (typically 0.50-0.85), ρ = water density (1000 kg/m³), g = gravitational acceleration (9.81 m/s²), Q = flow rate (m³/s), H = net head height (m). Annual Energy (kWh) = P × 8,760 × capacity_factor.
Result: 7.85 kW → 51,500 kWh/year
A stream with 100 L/s flow and 10 meters of head through a Francis turbine at 80% efficiency produces P = 0.80 × 1000 × 9.81 × 0.10 × 10 = 7,848 W ≈ 7.85 kW. With a 75% capacity factor, annual energy = 7.85 × 8,760 × 0.75 ≈ 51,500 kWh—enough for ~5 average U.S. homes.
Micro-hydroelectric systems (under 100 kW) are among the most cost-effective and reliable renewable energy sources available for rural and off-grid applications. Unlike solar and wind, micro-hydro provides consistent 24/7 generation with minimal seasonal variation in regions with year-round water flow. A well-designed system can operate for 50+ years with minimal maintenance—just periodic penstock cleaning and bearing replacement.
The key to a successful micro-hydro installation is thorough site assessment. You need to accurately measure both flow rate and head height across all seasons. Even a small error in these measurements leads to significant over- or under-sizing of the turbine and generator, reducing efficiency and return on investment.
Choosing the right turbine type is critical for maximizing efficiency and minimizing cost. Impulse turbines (Pelton, Turgo) work by directing jets of water at buckets on a wheel—they're ideal for high head and low flow. Reaction turbines (Francis, Kaplan, propeller) are submerged and use both pressure and velocity—they're better for lower head with higher flow. Crossflow turbines are versatile, accepting a wide range of heads and flows with reasonable efficiency.
For micro-hydro applications, the crossflow (Banki-Mitchell) turbine is often the best all-around choice because it maintains good efficiency (65-80%) across a wide range of flow rates, is relatively inexpensive, and can be manufactured locally in developing countries.
Hydroelectric power has the lowest lifecycle carbon emissions of any electricity source—approximately 4 gCO₂/kWh for run-of-river systems, compared to ~40 gCO₂/kWh for solar PV and ~11 gCO₂/kWh for wind. A 10 kW micro-hydro system operating at 60% capacity factor displaces approximately 20 tonnes of CO₂ per year compared to coal-generated electricity.
The economics are equally compelling. With typical installation costs of $2,000-$6,000 per installed kW for micro-hydro, and electricity generation costs of $0.03-0.08/kWh, most systems achieve payback in 3-10 years depending on the alternative energy cost. Grid-connected systems can sell surplus power through net metering, while off-grid systems offset diesel generator fuel costs.
A useful micro-hydro system needs at least 5-10 liters per second with 3+ meters of head, which would produce roughly 100-300 watts. For a typical household (5 kW average), you'd need roughly 50-100 L/s with 10+ meters of head, depending on turbine efficiency.
Head is the vertical distance the water falls. Gross head is the total elevation difference; net head subtracts friction losses in the penstock (pipe). Measure gross head with a surveyor's level, GPS altimeter, or by timing a float over a known slope. Net head is typically 85-95% of gross head.
Turbine selection depends on head and flow: Pelton wheels for high head (>50m) and low flow; Francis turbines for medium head (10-300m) and medium flow; Kaplan/propeller for low head (<10m) and high flow; Crossflow for a range of heads with variable flow. Turgo turbines work at medium heads with smaller flow.
Capacity factor is the percentage of time the system runs at rated output. Well-sited run-of-river hydro systems achieve 40-80% capacity factors (much higher than solar at 15-25% or wind at 25-45%). Seasonal flow variations are the main reason capacity factor falls below 100%.
In most countries, yes. Water rights, environmental permits, and building permits are typically required. The complexity varies enormously by jurisdiction. In the U.S., FERC exemptions exist for systems under 10 MW, and some states have streamlined permitting for micro-hydro under 100 kW.
Hydro has significant advantages: 24/7 baseload generation, 40-80% capacity factor (vs. 15-25% solar, 25-45% wind), 50-100+ year asset life, and very low operating costs. Disadvantages include site-specificity (you need water), permitting complexity, and upfront cost.