ThermoFluidCalc Engineering Report

Pelton Hydroelectric Turbine Sizing Analysis — 2026-08-23 20:56:50
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⚡ Pelton Hydro Turbine Runner & Bucket Sizer

Size high-head Pelton impulse hydro turbines: water jet velocity, pitch circle diameter (PCD), bucket double-spoon dimensions, Tygun bucket count, and Euler power.

⚡ Fortran 90 Engine Double Precision (IEEE 754) ✓ ISO / ASME Validated
📊 Solver Telemetry ● ACTIVE
👁️ Consultations 35
⚡ Calculs faits 28
💾 Téléchargements 209 📦 Code Fortran 5.2 KB
📅 Mise en service Jun 2026
⏱️ Latence < 1 ms
⚡ Outils & Rapports :
💾 Télécharger Fortran 90

⚡ Rotating Pelton Wheel, High-Speed Nozzle Jets & Splitter Buckets

Real-time visual simulation: High-head needle nozzle jet striking bucket splitters and deflecting at 165°

📝 Configuration & Presets

🏔️ High-Alpine (4-Jet) ⚡ Mega Pelton (6-Jet 1200m) 🏞️ Mountain Valley (2-Jet) 💧 Pico-Hydro Mountain
🏔️ Hydro Resource & Discharge
📐 Generator Speed & Nozzles
⚙️ Kinematics & Bucket Deflection
Euler Impulse Pelton Formulation:
• Water Jet Velocity: Vj = Cv · √(2·g·Hnet) [m/s]
• Runner Pitch Diameter: D1 = (60 · ku · Vj) / (π · N) [m]
• Tygun Buckets Formula: Zb = round(0.5 · (D1/dj) + 15)
• Shaft Power: Pshaft = ρ · Q · g · Hnet · ηoverall [MW].

📊 Performance Results

📊 Output Summary
💾 Fortran Source

Turbine Generated Shaft Power
25.76 MW (25759 kW)
Overall Efficiency: 89.8% | Jet Speed: 110.7 m/s
LIGHTLY LOADED / HIGH HEAD
Runner Pitch Circle Diam (PCD) 1.97 m Jet Ratio D/dj = 17.3
Number of Buckets (Tygun) 24 buckets 4 injector nozzles
Water Jet Diameter (dj) 113.8 mm Velocity = 110.7 m/s
Bucket Width × Length 341 × 296 mm Double-spoon splitter

📈 Shaft Power Output P (MW) vs Net Water Head H (m)

📊 Efficiency η (%) vs Peripheral Speed Ratio ku = U/Vj

=================================================================
 THERMOFLUIDCALC — PELTON TURBINE RUNNER & BUCKET REPORT
=================================================================
Case Title                 : High-Alpine Hydroelectric Power Station (4-Jet Pelton)
Hydro Operating Point      : Hnet = 650.0 m, Qtot = 4.500 m3/s, N = 500 rpm, Nozzles = 4
Kinematics & Speeds        : Vj = 110.65 m/s, ku = 0.465, D_pitch = 1.965 m
-----------------------------------------------------------------
SHAFT POWER OUTPUT (P_sh)  : 25.759 MW (25758.8 kW)
Hydraulic Power Potential  : 28.684 MW
Overall Efficiency (eta_o) : 89.80% (Hydraulic: 91.63%)
Water Jet Diameter (dj)    : 113.8 mm (Jet ratio D/dj = 17.27)
Number of Buckets (Tygun)  : 24 buckets (LIGHTLY LOADED / HIGH HEAD)
Bucket Dimensions          : Width = 341.3 mm, Length = 295.8 mm, Depth = 113.8 mm
=================================================================

📘 Calculation Methodology & Pelton Turbine Standards

Impulse Turbine Kinematics

All pressure energy is converted into kinetic energy in stationary needle nozzles, generating high-velocity water jets ($V_j > 100\,\text{m/s}$) that strike double-spoon buckets at atmospheric pressure.

Bucket Splitter & 165° Deflection

The central splitter ridge divides the jet symmetrically into two equal streams, deflecting them through $165^\circ$ to extract virtually all kinetic energy without interfering with the subsequent bucket.

Key Engineering Assumptions

  • IEC 60193 hydraulic impulse turbine standards.
  • Tygun bucket count empirical correlation.
  • Widely used in high-head mountain hydroelectric plants ($H > 150\,\text{m}$).