Betz Limit Calculator
Calculate the maximum theoretical power a wind turbine can extract using the Betz Limit (59.3%). Compare theoretical maximum to actual turbine performance.
Calculate the return on investment for a small wind turbine. Compare lifetime energy savings to installation cost and estimate payback period.
| Year | Cumulative Savings | Net Return | Status |
|---|---|---|---|
| Year 1 | $1,000.00 | -$17,750.00 | ✗ |
| Year 3 | $3,076.00 | -$15,674.00 | ✗ |
| Year 5 | $5,256.00 | -$13,494.00 | ✗ |
| Year 10 | $11,203.00 | -$7,547.00 | ✗ |
| Year 20 | $25,545.00 | +$6,795.00 | ✓ |
| Scenario | Electricity Rate | Payback Period |
|---|---|---|
| Lower Rate (-$0.03) | $0.12/kWh | 24.7 yr |
| Slightly Lower | $0.13/kWh | 22.3 yr |
| Base Case | $0.15/kWh | 18.8 yr |
| Slightly Higher | $0.17/kWh | 16.2 yr |
| Higher Rate (+$0.03) | $0.18/kWh | 15.1 yr |
Small wind turbines (1–20 kW) can be a viable investment in areas with strong, consistent wind resources. But unlike solar panels with predictable output, wind turbine economics depend heavily on the specific wind conditions at your site. Average wind speeds below 5 m/s rarely produce positive returns.
The ROI calculation compares the total cost of the turbine system (equipment, tower, installation, permitting) to the lifetime energy savings. A 5 kW turbine costing $25,000 that produces 8,000 kWh/year at $0.15/kWh saves $1,200/year, yielding a payback of about 21 years before incentives.
This calculator accounts for installation cost, incentives, annual energy production, electricity rate, maintenance costs, and system lifespan to compute ROI and payback period. Incentives like the USDA REAP grant (up to 25%) can dramatically improve economics.
By calculating this metric accurately, energy analysts gain actionable insights that inform equipment selection, system design, and operational strategies for maximum efficiency and savings.
Small wind turbine investments range from $10,000 to $70,000. This calculator prevents costly mistakes by revealing whether your specific site and electricity rate produce a worthwhile return.
Net Cost = Installation Cost − Incentives
Annual Savings = Annual kWh × Electricity Rate − Annual Maintenance
Payback (years) = Net Cost / Annual Savings
Lifetime Savings = Annual Savings × Lifespan − Net Cost
ROI = (Lifetime Savings / Net Cost) × 100Result: Payback: 18.8 years, ROI: 6.7%
Net cost: $25,000 − $6,250 = $18,750. Annual savings: 8,000 × $0.15 − $200 = $1,000. Payback: 18,750 / 1,000 = 18.8 years. Lifetime savings: $1,000 × 20 − $18,750 = $1,250. ROI: ($1,250 / $18,750) × 100 = 6.7%. Marginal return — better wind speeds would improve economics.
Before investing in small wind, conduct a thorough site assessment. Install an anemometer at the proposed hub height for at least 12 months. Wind resource maps provide a starting point but don't capture local terrain effects. Trees, buildings, and terrain features can dramatically reduce wind speed.
Solar panels cost $2.50–$3.50/W installed, produce predictably, require minimal maintenance, and have 25–30 year lifespans. Small wind turbines cost $3–$8/W installed, depend heavily on site-specific conditions, require regular maintenance, and have shorter lifespans. Solar wins for most homes.
Small wind is best for rural properties with consistent wind, tall tower opportunities, and high electricity rates. It pairs well with solar for year-round production — wind often peaks in winter when solar is weakest. Agricultural operations may access REAP grants that dramatically improve ROI.
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In the right location with average wind speeds above 5–6 m/s, high electricity rates, and available incentives, small wind can provide positive returns. In low-wind areas or where electricity is cheap, payback periods often exceed the turbine's lifespan, making it a poor investment.
Fully installed costs range from $3,000–$8,000 per rated kW. A 5 kW system typically costs $15,000–$35,000 installed including the tower. A 10 kW system runs $30,000–$70,000. Tower costs often equal or exceed the turbine itself.
The 30% federal ITC applies to small wind. The USDA REAP grant covers up to 25% for rural agricultural properties. Some states offer additional rebates or production incentives. Combined, incentives can cover 40–55% of the cost.
Solar generally offers simpler installation, more predictable output, lower maintenance, and better economics for most locations. Wind can supplement solar in windy areas, especially during winter months when solar production is low. For most homeowners, solar alone is the better investment.
Annual inspection of blades, tower, and electrical connections. Bearing lubrication every 1–2 years. Inverter replacement at year 10–15 ($2,000–$5,000). Occasional blade repair or replacement. Budget 1–3% of installation cost annually for maintenance.
Quality small wind turbines last 20–25 years with proper maintenance. Key components like bearings and inverters may need replacement during that period. The tower and structural components typically last the full lifespan.
Calculate the maximum theoretical power a wind turbine can extract using the Betz Limit (59.3%). Compare theoretical maximum to actual turbine performance.
Calculate the capacity factor of a wind turbine from actual vs rated output. Assess real-world performance and compare turbine sites effectively.
Convert wind speed into available wind power per square meter of swept area. Uses the kinetic energy equation to show power density at any wind speed.