moo ell ell The magnitude of the line current. |L= 2 2 ECA = 208 V 203 The voltage across each phase impedance in phasor form. Vab= Vbc= Vca = 2 N EAB= 208 V 20⁰ B The current through each phase impedance in phasor form. lab = lbc = Ica = units ZL The magnitude of the genrator phase voltage E= units EBC = 208 V 20₂ Z₁ Z₂ units units units units units units b

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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If the 22Ω resistor is replaced with ZL = 100Ω + -j100Ω, determine the following.

### Delta-Wye Transformer Configuration

#### Diagram Explanation:

The diagram shows a three-phase delta-wye transformer configuration. The primary side (delta connection) has three impedances labeled \( Z_L \) connected in a triangle. The secondary side (wye connection) is labeled with nodes A, B, and C, connected to a neutral point N.

The phase voltages of the transformer are given as:
- \( E_{AB} = 208 \, V \, \angle 0^\circ \)
- \( E_{BC} = 208 \, V \, \angle \theta_2 \)
- \( E_{CA} = 208 \, V \, \angle \theta_3 \)

#### Required Calculations:

1. **Voltage across each phase impedance in phasor form:**
   - \( V_{ab} = \; \angle \; \)  units
   - \( V_{bc} = \; \angle \; \)  units
   - \( V_{ca} = \; \angle \; \)  units

2. **Current through each phase impedance in phasor form:**
   - \( I_{AB} = \; \angle \; \)  units
   - \( I_{BC} = \; \angle \; \)  units
   - \( I_{CA} = \; \angle \; \)  units

3. **Magnitude of the line current:**
   - \( I_L = \; \)  units

4. **Magnitude of the generator phase voltage:**
   - \( E = \; \)  units

This setup is commonly used in power distribution systems to step down voltage levels while maintaining three-phase power, which is efficient for delivering electricity over long distances.
Transcribed Image Text:### Delta-Wye Transformer Configuration #### Diagram Explanation: The diagram shows a three-phase delta-wye transformer configuration. The primary side (delta connection) has three impedances labeled \( Z_L \) connected in a triangle. The secondary side (wye connection) is labeled with nodes A, B, and C, connected to a neutral point N. The phase voltages of the transformer are given as: - \( E_{AB} = 208 \, V \, \angle 0^\circ \) - \( E_{BC} = 208 \, V \, \angle \theta_2 \) - \( E_{CA} = 208 \, V \, \angle \theta_3 \) #### Required Calculations: 1. **Voltage across each phase impedance in phasor form:** - \( V_{ab} = \; \angle \; \) units - \( V_{bc} = \; \angle \; \) units - \( V_{ca} = \; \angle \; \) units 2. **Current through each phase impedance in phasor form:** - \( I_{AB} = \; \angle \; \) units - \( I_{BC} = \; \angle \; \) units - \( I_{CA} = \; \angle \; \) units 3. **Magnitude of the line current:** - \( I_L = \; \) units 4. **Magnitude of the generator phase voltage:** - \( E = \; \) units This setup is commonly used in power distribution systems to step down voltage levels while maintaining three-phase power, which is efficient for delivering electricity over long distances.
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