| | |

Wind Turbine Blade Forces

The blades of a wind turbine are affected by four forces: drag, lift, centrifugal, and gravitational forces.

Drag Forces
Lift forces
Centrifugal forces
gravitational forces

Drag Force on Wind Turbine

Drag forces are caused by the air molecules that hit the surface of the blade facing the wind.

Airfoil drag force

A major component of the drag force acts in the direction that is parallel to the main shaft of the
rotor.

Drag Force major component direction

The magnitude of the drag force varies with the wind speed and the size and shape of the blade

Drag force parameters

Drag forces have a cantilever beam effect on the blade, causing the maximum stress at the joint between the blade and the hub which is connected to the main shaft of the wind turbine.

Maximum Bending Moment at the Hub from drag forces
Maximum Stresses from Drag forces

Lift Force on Wind Turbine

When the wind passes over the blade, the pressure difference between the front and back of the blade causes the lift forces.

Airfoil lift Force
the pressure difference across the airfoil
pressure difference direction

A major component of the lift force acts in the ever-changing tangential direction as the rotor rotates

The tangential direction of the lift force
The tangential component of lift forces

The magnitude of the lift force varies with the wind speed and the size, and the shape of the blade. As generator load increases, the amount of lift must also increase, within the limits of prevailing wind conditions

Lift forces also have a cantilever beam effect on the blade, causing the maximum stress at the joint between the blade and the hub which is connected to the main shaft of the wind turbine

Cantilever beam effect of lift forces on the blade
Maximum Stresses on Blade due to lift forces

The drag forces and the lift forces are perpendicular to each other;so are their cantilever beam effects on the blades

Lift and drag forces perpendicular to each other
The cantilever beam effect of lift and drag forces are perpendicular to each other

Centrifugal Force on Wind Turbine

The velocity of each particle inside the blade changes direction as the rotor rotates. This change of direction is a form of acceleration of the particle toward the center, or axis, that the blade revolves around

changing direction wind blade particle
Centripetal acceleration

This acceleration is caused by the centripetal force. However, for rotating systems, such as wind turbine blades and their hub, it is common to explain the blade stress due to rotation in terms
of the fictional centrifugal inertial force, which is equal in magnitude to the centripetal force, but in the opposite direction.

Centripetal and Centrifugal forces

The tensile stress builds up to reach its maximum at the joint between the blade and the hub. The
centrifugal forces are always in the radial direction, causing tensile stress throughout the whole blade, from the root to the tip.

Tensile Stress on the Blade from centrifugal forces
Maximum Tensile Stress

The centrifugal forces vary with the size, shape, and mass density of the blade, as well as the angular speed of the rotor. Centrifugal forces increase rapidly as the rotor gains speed.

Mass density of blades affects centrifugal forces
angular speeds affect centrifugal forces

Gravitational Forces on Wind Turbine

The gravitational forces acting on any part of the blade vary with the mass density, size, and shape of the blade.

The gravitational forces are always toward the center of the earth, therefore, the gravitational forces have a variable effect on the blade as the rotor rotates.

Maximum tensile or compressive stresses occur along the radial direction when the blade is vertical

Maximum Tensile stress along the radial direction
Maximum compressive stress along the radial direction

while maximum bending stress happens when the blade is horizontal

Maximum Bending Stress

The maximum stress caused by the drag forces, the lift forces, the centrifugal forces, and the gravitational forces, concentrates at the joint between the blade and the hub. Therefore, the proper installation and maintenance of the joints between the root of the blades and the hub are critical to the safe operation of wind turbines.

Maximum Stress at the HUB

Related Articles

Video: Wind Turbine Blade Forces

YouTube player

Highland Community College as part of WindTechTV.org

Courses and Workshops

Similar Posts