Tip Speed Ratio Calculator

This calculator computes the Tip Speed Ratio (TSR) of a wind turbine, which is the ratio of the tip speed of the rotor to the wind speed. TSR is a critical parameter affecting turbine performance.

Input Parameters

Calculation Results

Calculation Results

Tip Speed Ratio (TSR): -

Rotational Velocity (rad/s): -

Tip Speed (m/s): -

Calculation Formula

TSR = (π × Rotor Diameter × Rotational Speed) / (60 × Wind Speed)

Where:
π = 3.14159265359
Rotor Diameter = Blade span of the turbine (m)
Rotational Speed = Rotational speed of the turbine (RPM)
Wind Speed = Wind speed at the rotor (m/s)

Tip Speed Ratio Calculator Calculator Usage Guide

Learn how to use the Tip Speed Ratio Calculator and understand its significance in wind energy

What is Tip Speed Ratio (TSR)?

Tip Speed Ratio (TSR) is defined as the ratio of the tangential speed at the tip of a rotor blade to the actual wind speed. It's a key parameter in wind turbine design and operation.

How to Use This Calculator

  1. Enter the Rotor Diameter of your wind turbine in meters.
  2. Input the Rotational Speed of the turbine in RPM (revolutions per minute).
  3. Provide the Wind Speed at the rotor level in meters per second.
  4. Click the Calculate button to compute the Tip Speed Ratio and other results.
  5. Use the Reset button to clear all inputs and start over.

Significance of TSR

TSR significantly affects a wind turbine's efficiency and power output:

  • Optimal TSR ranges typically between 6 and 8 for most modern wind turbines
  • TSR below optimal values may lead to underutilization of wind energy
  • TSR above optimal values can cause excessive wear and tear on components
  • The relationship between TSR and power output is not linear and follows a complex aerodynamic relationship

Practical Applications

This calculator can be used by:

  • Wind energy engineers for turbine design and optimization
  • Wind farm operators for performance monitoring
  • Scholars and students studying wind energy systems
  • Individuals evaluating the potential of their wind energy projects