Find the total 3 phase complex power, average power, reactive power, apparent power and power factor

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Find the total 3 phase complex power, average power, reactive power, apparent power and power factor 

The diagram illustrates a balanced three-phase transformer circuit connected in a Y-Δ (wye-delta) configuration. It shows three main sections: primary windings, secondary windings, and the load.

### Components:
1. **Primary Windings:**
   - Connected in a Y (wye) configuration at points A, B, and C.
   - Phase voltages of 120 V are applied at the primary terminals with angles of 0°, θ2, and θ3.
   - Coils are represented between phases and the neutral (zero potential).

2. **Secondary Windings:**
   - Connected in a Δ (delta) configuration with points labeled a, b, and c.
   - Each winding connects end-to-end forming a closed loop.
   - Secondary voltages are same as primary due to assumed 1:1 turns ratio.

3. **Load:**
   - Each side of the Δ is connected to a 20 Ω resistive load.
   - This configuration achieves balanced load sharing with equal resistance on each phase of the delta.

### Circuit Analysis:
- This setup illustrates the typical calculation scenario for line-to-line voltages and currents in transformer circuits.
- It can be analyzed for understanding balanced load operation and transformer functionality in three-phase systems.
  
Understanding this configuration allows learners to delve deeper into electromechanical energy conversion and efficient power distribution in electrical networks.
Transcribed Image Text:The diagram illustrates a balanced three-phase transformer circuit connected in a Y-Δ (wye-delta) configuration. It shows three main sections: primary windings, secondary windings, and the load. ### Components: 1. **Primary Windings:** - Connected in a Y (wye) configuration at points A, B, and C. - Phase voltages of 120 V are applied at the primary terminals with angles of 0°, θ2, and θ3. - Coils are represented between phases and the neutral (zero potential). 2. **Secondary Windings:** - Connected in a Δ (delta) configuration with points labeled a, b, and c. - Each winding connects end-to-end forming a closed loop. - Secondary voltages are same as primary due to assumed 1:1 turns ratio. 3. **Load:** - Each side of the Δ is connected to a 20 Ω resistive load. - This configuration achieves balanced load sharing with equal resistance on each phase of the delta. ### Circuit Analysis: - This setup illustrates the typical calculation scenario for line-to-line voltages and currents in transformer circuits. - It can be analyzed for understanding balanced load operation and transformer functionality in three-phase systems. Understanding this configuration allows learners to delve deeper into electromechanical energy conversion and efficient power distribution in electrical networks.
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