Wind Farm 🌬️

A turbine array seen from above. Each turbine extracts P = ½ρAv³Cp; turbines sitting in the wake of those upwind see slower air and produce less. Drag turbines to lay out the farm.

Presets

Controls

Wind speed: 10 m/s Wind direction: 270° (W) Spacing: 5.0 D Rows × Cols: 4 × 4 Wake decay k: 0.05

Stats

Total power—

Capacity factor—

Wake loss—

Best turbine—

Worst turbine—

Per-turbine Betz—

Wake model. A turbine with axial-induction factor a leaves a wake whose speed recovers downstream: v_wake = v(1 − 2a/(1 + k·x/R)²) (Jensen/Park). Downwind turbines inside that cone receive slower air, and since power scales with v³, even a modest velocity deficit cuts output sharply. No single turbine can exceed the Betz limit, Cp ≤ 16/27 ≈ 0.593. Spreading turbines further apart or staggering rows lets wakes recover and lifts total farm output. Drag any turbine to reposition it.