What Is the Wind Turbine Tip Speed Ratio (TSR) & Blade Frequency Calculator?
Tip Speed Ratio (TSR) compares blade tip tangential speed against oncoming wind speed.
How Does the Wind Turbine Tip Speed Ratio (TSR) & Blade Frequency Calculator Work?
If blades turn too slow, wind passes through unharvested; if too fast, blades act as a solid wall creating excessive drag.
Wind Turbine Tip Speed Ratio (TSR) & Blade Frequency Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
\lambda = \frac{\Omega R}{V} = \frac{\frac{\text{RPM} \cdot 2\pi}{60} \cdot \frac{D}{2}}{V}, \quad \text{BPF} = \frac{\text{RPM}}{60} \cdot B
Tip speed ratio and blade passing frequency formulas.
How to Use the Wind Turbine Tip Speed Ratio (TSR) & Blade Frequency Calculator
- Input rotor diameter, rotational RPM, wind speed, and blade count.
Step-by-Step Example Calculation
Utility-Scale 3-Blade Rotor
Input Values:
rotorDiameterMeters:120
rotorRotationalRpm:12
windSpeedMPerS:10
numberOfBlades:3
Worked Steps: Operates at Tip Speed Ratio TSR = 7.54 with blade tip speed of 75.4 m/s (271 km/h) and BPF = 0.60 Hz.
Understanding Your Result
Outputs TSR value, blade tip speed in m/s and km/h, and blade pass acoustic frequency in Hz.
Factors That Affect the Result
- Three-bladed modern turbines achieve maximum aerodynamic efficiency at TSR values between 7 and 9.
When Should You Use This Calculator?
- Turbine control system variable-speed tracking and aerodynamic noise assessment.
Assumptions & Limitations
- Applies to horizontal axis wind turbines (HAWT).
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard aerodynamic parameter defined by IEC 61400-12.