3-phase, 3-wire A-connected generator Phase sequence: ABC Van = Vbn = Vcn = lan = Ibn = Icn = Aa= Bb Icc = II B LAD EAR 120 V Z0° Ec= 120 V +120° Eac 120 V-120° Igb ICC units units units units units units units units units 24 (2 Pan 240 21 www 24 2 In b

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The phase sequence for the Δ -Y system seen below is ABC. Calculate the magnitudes of the following.

### Educational Analysis of a 3-Phase, 3-Wire Δ-Connected Generator Circuit

#### Diagram Explanation:

This diagram represents a 3-phase, 3-wire delta (Δ)-connected generator with a specified phase sequence of ABC. The generator supplies power to a balanced load, which is composed of three 24-ohm resistors arranged in a wye (Y) configuration.

**Components and Notations:**

- **Generator Voltages:**
  - \( E_{AB} = 120 \, V \, \angle 0^\circ \)
  - \( E_{CA} = 120 \, V \, \angle 120^\circ \)
  - \( E_{BC} = 120 \, V \, \angle -120^\circ \)

These represent the line-to-line voltages of the generator.

- **Load Resistors:**
  - Resistors of 24 ohms each are connected between points \( a \), \( b \), and \( c \) with a common neutral point \( n \).

- **Line and Phase Currents:**
  - **Line Currents:** \( I_{A}, I_{B}, I_{C} \)
  - **Phase Currents:** \( I_{an}, I_{bn}, I_{cn} \)

**Voltages across Load:**
- \( V_{an} \), \( V_{bn} \), \( V_{cn} \) denote phase voltages across the load.

#### Calculation Template:

To calculate voltages and currents in the circuit, the following relationships are typically used in a balanced system:

- **Phase Voltages (Line-to-Neutral):**
  \( V_{an} = \frac{E_{AB}}{\sqrt{3}} \)
  \( V_{bn} = \frac{E_{BC}}{\sqrt{3}} \)
  \( V_{cn} = \frac{E_{CA}}{\sqrt{3}} \)

- **Phase Currents:**
  \( I_{an} = \frac{V_{an}}{Z_{Load}} \)
  \( I_{bn} = \frac{V_{bn}}{Z_{Load}} \)
  \( I_{cn} = \frac{V_{cn}}{Z_{Load}} \)

- **Line Currents:**
  For a balanced wye (Y) load:
  \( I_A =
Transcribed Image Text:### Educational Analysis of a 3-Phase, 3-Wire Δ-Connected Generator Circuit #### Diagram Explanation: This diagram represents a 3-phase, 3-wire delta (Δ)-connected generator with a specified phase sequence of ABC. The generator supplies power to a balanced load, which is composed of three 24-ohm resistors arranged in a wye (Y) configuration. **Components and Notations:** - **Generator Voltages:** - \( E_{AB} = 120 \, V \, \angle 0^\circ \) - \( E_{CA} = 120 \, V \, \angle 120^\circ \) - \( E_{BC} = 120 \, V \, \angle -120^\circ \) These represent the line-to-line voltages of the generator. - **Load Resistors:** - Resistors of 24 ohms each are connected between points \( a \), \( b \), and \( c \) with a common neutral point \( n \). - **Line and Phase Currents:** - **Line Currents:** \( I_{A}, I_{B}, I_{C} \) - **Phase Currents:** \( I_{an}, I_{bn}, I_{cn} \) **Voltages across Load:** - \( V_{an} \), \( V_{bn} \), \( V_{cn} \) denote phase voltages across the load. #### Calculation Template: To calculate voltages and currents in the circuit, the following relationships are typically used in a balanced system: - **Phase Voltages (Line-to-Neutral):** \( V_{an} = \frac{E_{AB}}{\sqrt{3}} \) \( V_{bn} = \frac{E_{BC}}{\sqrt{3}} \) \( V_{cn} = \frac{E_{CA}}{\sqrt{3}} \) - **Phase Currents:** \( I_{an} = \frac{V_{an}}{Z_{Load}} \) \( I_{bn} = \frac{V_{bn}}{Z_{Load}} \) \( I_{cn} = \frac{V_{cn}}{Z_{Load}} \) - **Line Currents:** For a balanced wye (Y) load: \( I_A =
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