What Is the Pelton Turbine Bucket Impulse & Torque Calculator?
A Pelton wheel converts the pressure head of water into kinetic energy via a convergent nozzle needle valve.
The high-speed free jet strikes bucket splitters, dividing and deflecting the jet by ~165° to extract maximum momentum.
How Does the Pelton Turbine Bucket Impulse & Torque Calculator Work?
Maximum theoretical power occurs when bucket linear speed u equals half the jet speed V1 (speed ratio φ ≈ 0.46–0.48).
The change in momentum imparts a tangential force Fx on the wheel pitch circle, generating shaft torque and electrical power.
Pelton Turbine Bucket Impulse & Torque Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Euler turbine momentum equation applied to impulse jet deflection.
How to Use the Pelton Turbine Bucket Impulse & Torque Calculator
- Input net head, discharge, pitch diameter, speed, and bucket geometry.
- Inspect shaft power output in kW, shaft torque, and hydraulic efficiency.
Step-by-Step Example Calculation
Alpine High-Head Hydro Plant
Input Values:
Understanding Your Result
Hydraulic efficiency near 88%–92% indicates optimal bucket speed ratio matching.
Factors That Affect the Result
- Operating away from optimal speed ratio φ ≈ 0.46 reduces power output.
- Surface roughness on bucket bowls lowers the relative velocity coefficient kb.
When Should You Use This Calculator?
- Hydro plant design with heads above 200m up to 1800m.
Assumptions & Limitations
- Assumes steady jet flow with uniform velocity distribution and ideal splitter separation.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard turbomachinery momentum impulse formulation.