3-Phase Unbalanced Delta Connected Network using Simscape

Simscape model of a 3-phase unbalanced delta network analyzing line currents, phase currents, and voltage imbalance.

🔹 Overview

This project demonstrates a 3-phase unbalanced delta (Δ) connected network using MATLAB Simscape. It helps in analyzing current and voltage behavior under unbalanced load conditions in delta-connected systems.

🔹 Model Description

The model consists of:

• Three-phase AC voltage sources
• Unbalanced delta-connected load (different impedance in each branch)
• 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

• Unbalanced three-phase system
• Delta (Δ) connection
• Relationship between line and phase currents
• Effect of unequal branch impedance
• Current imbalance and phase shift

🔹 Simulation Observations

• Line voltages remain balanced (supply dependent)
• Phase currents become unequal
• Line currents are unbalanced
• Current magnitude and phase angle vary in each branch
• No neutral current (delta connection)

🔹 Mathematical Relations

Line voltage:

V_L = V_Ph

Line current:

I_L ≠ √3 × I_Ph (under unbalanced condition)

KCL at nodes:

I_R + I_Y + I_B = 0

🔹 How to Run

1. Open the .slx model file in MATLAB
2. Run the simulation
3. Observe current and voltage waveforms in Scope
4. Analyze imbalance effects

🔹 Applications

• Power system analysis
• Fault and imbalance studies
• Industrial power networks
• Electrical engineering education