⚡ 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

Pelton Hydro Turbine Runner & Bucket Sizer

Turbomachinery

📊 Solver Telemetry ● ACTIVE

👁️ Views 35

⚡ Solves 28

💾 Downloads 298 📦 Fortran Code 5.2 KB

📅 Released Jun 2026

⏱️ Latency < 1 ms

⚡ 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

Net Water Head H_net [m]:

Total Flow Rate Q [m³/s]:

📐 Generator Speed & Nozzles

Rotational Speed N [rpm]:

Number of Injector Nozzles:

⚙️ Kinematics & Bucket Deflection

Speed Ratio k_u = U / V_j:

Bucket Deflection Angle β₂ [°]:

Euler Impulse Pelton Formulation:
• Water Jet Velocity: V_j = C_v · √(2·g·H_net) [m/s]
• Runner Pitch Diameter: D₁ = (60 · k_u · V_j) / (π · N) [m]
• Tygun Buckets Formula: Z_b = round(0.5 · (D₁/d_j) + 15)
• Shaft Power: P_shaft = ρ · Q · g · H_net · η_overall [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 (d_j) 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 ($H > 150\,\text{m}$).

ThermoFluidCalc Engineering Report