3-Phase Balanced Delta Connected Network using Simscape

Simscape model of a 3-phase balanced delta network demonstrating line and phase current relationships and voltage analysis.

🔹 Overview

This project presents a 3-phase balanced delta (Δ) connected network modeled using MATLAB Simscape. It is designed to help students understand the relationship between line and phase quantities in delta-connected systems.

🔹 Model Description

The Simscape model includes:

• Three-phase AC voltage sources
• Balanced delta-connected resistive load
• Measurement blocks for:
• Line currents (IR, IY, IB)
• Phase currents (IRR’, IYY’, IBB’)
• Line voltages (VRY, VYB, VBR)
• Scope for waveform visualization

🔹 Key Concepts Demonstrated

• Balanced three-phase system
• Delta (Δ) connection characteristics
• Relationship between line current and phase current
• Equality of line voltage and phase voltage
• 120° phase displacement between phases

🔹 Simulation Observations

• Line voltage equals phase voltage
• Line current is √3 times phase current
• Line current is phase-shifted by 30° relative to phase current
• System exhibits symmetrical balanced waveforms

🔹 Mathematical Relations

Line voltage:

V_L = V_Ph

Line current:

I_L = √3 × I_Ph

Phase angle relation:

I_L lags I_Ph by 30°

🔹 How to Run

1. Open the .slx model file in MATLAB
2. Run the simulation
3. Observe current and voltage waveforms in Scope
4. Compare simulation results with theoretical values

🔹 Applications

• Power system analysis
• Electrical machine connections
• Industrial power distribution
• Teaching and laboratory experiments