⚡ 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

3.97 MW (3969 kW)

Overall Efficiency: 88.8% | Jet Speed: 84.2 m/s

OPTIMAL HIGH-EFFICIENCY RANGE

Runner Pitch Circle Diam (PCD) 0.99 m Jet Ratio D/dj = 10.3

Number of Buckets (Tygun) 20 buckets 2 injector nozzles

Water Jet Diameter (d_j) 95.3 mm Velocity = 84.2 m/s

Bucket Width × Length 286 × 248 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                 : Mountain Valley 2-Jet Hydroelectric Turbine
Hydro Operating Point      : Hnet = 380.0 m, Qtot = 1.200 m3/s, N = 750 rpm, Nozzles = 2
Kinematics & Speeds        : Vj = 84.17 m/s, ku = 0.460, D_pitch = 0.986 m
-----------------------------------------------------------------
SHAFT POWER OUTPUT (P_sh)  : 3.969 MW (3968.9 kW)
Hydraulic Power Potential  : 4.472 MW
Overall Efficiency (eta_o) : 88.75% (Hydraulic: 90.56%)
Water Jet Diameter (dj)    : 95.3 mm (Jet ratio D/dj = 10.35)
Number of Buckets (Tygun)  : 20 buckets (OPTIMAL HIGH-EFFICIENCY RANGE)
Bucket Dimensions          : Width = 285.8 mm, Length = 247.7 mm, Depth = 95.3 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