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Wind & Hydropower

Wind and water turbines both pull energy from a moving fluid. A few equations explain turbine sizing, siting, head and flow, and why wind speed matters.

Wind and hydro look like different industries, but a rotor does not care which fluid is pushing it. In the wind, power rises with the cube of wind speed; in a stream, it rises with the product of head and flow. Those two relationships explain most of the design decisions covered here.

In this section you will find why no open rotor can capture more than 59.3% of the wind's power — the Betz limit — why large turbines settle on three blades, and why they deliberately shed power or shut down when the wind becomes too strong. Offshore, the question changes to how electricity crosses the seabed to shore, and why long export cables switch from alternating to direct current.

On the hydro side, the guides cover how a micro-hydro site is assessed from head and flow, why gross head is never net head, and how Pelton, Turgo and cross-flow turbines suit different combinations of the two. The approach throughout is engineering first: equations, worked examples in metric and imperial units, and no product or price talk.

Wind & Hydropower

What Is the Betz Limit?

No open-flow rotor can capture more than 59.3% of the wind's power. The derivation in full, what the Betz limit does not say, and where it does not apply.

Updated 8 October 20267 min read