For the radial power system shown in Figure 3, calculate the line-to-ground fault current flowing in each of the circuit breakers for faults at bus 1, bus 2 and bus 3. Also determine the corresponding faulted phase voltage, assuming that the generator is ideal, with a terminal voltage of 1.0 pu. *positive sequence impedance = negative sequence impedance

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For the radial power system shown in Figure 3, calculate the line-to-ground fault current flowing in each of the circuit breakers for faults at bus 1, bus 2 and bus 3. Also determine the corresponding faulted phase voltage, assuming that the generator is ideal, with a terminal voltage of 1.0 pu.

*positive sequence impedance = negative sequence impedance

### Figure 3: Power System Line Diagram and Impedance Table

#### Diagram Description:
The diagram illustrates a simple linear power system comprising six buses, labeled \( B_1 \) through \( B_6 \), connected in series. Each bus is connected by transmission lines, depicted as lines with small squares in the middle indicating circuit breakers or transformers.

1. **Source**: The system begins with a source symbol on the left side, connected to bus \( B_1 \).
2. **Buses**: 
   - \( B_1 \) is directly connected to \( B_2 \) through a transmission line.
   - \( B_2 \) is connected to \( B_3 \).
   - \( B_3 \) connects to \( B_4 \).
   - \( B_4 \) connects to \( B_5 \).
   - Finally, \( B_5 \) connects to \( B_6 \).

#### Table Description:

The table beneath the diagram provides the positive and zero sequence impedances for each segment of the transmission line between the buses. Impedance values are given in complex form \( (R + jX) \), where \( R \) is resistance and \( X \) is reactance.

- **From Bus** - **To Bus**: Indicates the segment of the network being described.
- **Positive Sequence Impedance**: 
  - Between buses 1 and 2: \( 0.01 + j0.05 \)
  - Between buses 2 and 3: \( 0.003 + j0.04 \)
  - Between buses 3 and 4: \( 0.008 + j0.04 \)
  - Between buses 4 and 5: \( 0.01 + j0.05 \)
  - Between buses 5 and 6: \( 0.003 + j0.02 \)

- **Zero Sequence Impedance**:
  - Between buses 1 and 2: \( 0.02 + j0.13 \)
  - Between buses 2 and 3: \( 0.01 + j0.16 \)
  - Between buses 3 and 4: \( 0.004 + j0.15 \)
  - Between buses 4 and 5: \( 0.03 + j0.15 \)
  - Between buses 5 and
Transcribed Image Text:### Figure 3: Power System Line Diagram and Impedance Table #### Diagram Description: The diagram illustrates a simple linear power system comprising six buses, labeled \( B_1 \) through \( B_6 \), connected in series. Each bus is connected by transmission lines, depicted as lines with small squares in the middle indicating circuit breakers or transformers. 1. **Source**: The system begins with a source symbol on the left side, connected to bus \( B_1 \). 2. **Buses**: - \( B_1 \) is directly connected to \( B_2 \) through a transmission line. - \( B_2 \) is connected to \( B_3 \). - \( B_3 \) connects to \( B_4 \). - \( B_4 \) connects to \( B_5 \). - Finally, \( B_5 \) connects to \( B_6 \). #### Table Description: The table beneath the diagram provides the positive and zero sequence impedances for each segment of the transmission line between the buses. Impedance values are given in complex form \( (R + jX) \), where \( R \) is resistance and \( X \) is reactance. - **From Bus** - **To Bus**: Indicates the segment of the network being described. - **Positive Sequence Impedance**: - Between buses 1 and 2: \( 0.01 + j0.05 \) - Between buses 2 and 3: \( 0.003 + j0.04 \) - Between buses 3 and 4: \( 0.008 + j0.04 \) - Between buses 4 and 5: \( 0.01 + j0.05 \) - Between buses 5 and 6: \( 0.003 + j0.02 \) - **Zero Sequence Impedance**: - Between buses 1 and 2: \( 0.02 + j0.13 \) - Between buses 2 and 3: \( 0.01 + j0.16 \) - Between buses 3 and 4: \( 0.004 + j0.15 \) - Between buses 4 and 5: \( 0.03 + j0.15 \) - Between buses 5 and
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