3.23 Figure 3.32 shows the oneline diagram of a three-phase power system. By selecting a common base of 100 MVA and 22 kV on the generator side, draw an impedance diagram showing all impedances including the load impedance in per-unit. The data are given as follows: x = 0.18 per unit x = 0.10 per unit x = 0.06 per unit x = 0.064 per unit x = 0.08 per unit x = 0.185 per unit G: 90 MVA 22 kV 50 MVA 22/220 kV T;: 40 MVA 220/11 kV T3: 40 MVA 22/110 kV 40 MVA 110/11 kV М: 66.5 MVA 10.45 kV

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### Impedance Diagram of a Three-Phase Power System

**Problem 3.23 Overview:**

Figure 3.32 illustrates the one-line diagram of a three-phase power system. The task is to draw an impedance diagram showing all impedances, including the load impedance, in per-unit. This is achieved by selecting a common base of 100 MVA and 22 kV on the generator side.

**Given Data:**

- **Generator (G):**
  - Power: 90 MVA
  - Voltage: 22 kV
  - Reactance (\(x\)): 0.18 per unit

- **Transformer 1 (T₁):**
  - Power: 50 MVA
  - Voltage: 22/220 kV
  - Reactance (\(x\)): 0.10 per unit

- **Transformer 2 (T₂):**
  - Power: 40 MVA
  - Voltage: 220/11 kV
  - Reactance (\(x\)): 0.06 per unit

- **Transformer 3 (T₃):**
  - Power: 40 MVA
  - Voltage: 22/110 kV
  - Reactance (\(x\)): 0.064 per unit

- **Transformer 4 (T₄):**
  - Power: 40 MVA
  - Voltage: 110/11 kV
  - Reactance (\(x\)): 0.08 per unit

- **Motor (M):**
  - Power: 66.5 MVA
  - Voltage: 10.45 kV
  - Reactance (\(x\)): 0.185 per unit

**Line Reactances:**

- **Line 1:** 
  - Reactance: 48.4 Ω

- **Line 2:** 
  - Reactance: 65.43 Ω

**Load Characteristics:**

- At bus 4, the load absorbs 57 MVA at 10.45 kV with a power factor of 0.6 lagging.

**Diagram Explanation:**

- **Section 1-2-3-4 (220 kV Line):**
  - Consists of three segments:
    - From Generator (G) to Transformer (T₁) via Line 1
    - Transformer (T₁) shifts voltage
Transcribed Image Text:### Impedance Diagram of a Three-Phase Power System **Problem 3.23 Overview:** Figure 3.32 illustrates the one-line diagram of a three-phase power system. The task is to draw an impedance diagram showing all impedances, including the load impedance, in per-unit. This is achieved by selecting a common base of 100 MVA and 22 kV on the generator side. **Given Data:** - **Generator (G):** - Power: 90 MVA - Voltage: 22 kV - Reactance (\(x\)): 0.18 per unit - **Transformer 1 (T₁):** - Power: 50 MVA - Voltage: 22/220 kV - Reactance (\(x\)): 0.10 per unit - **Transformer 2 (T₂):** - Power: 40 MVA - Voltage: 220/11 kV - Reactance (\(x\)): 0.06 per unit - **Transformer 3 (T₃):** - Power: 40 MVA - Voltage: 22/110 kV - Reactance (\(x\)): 0.064 per unit - **Transformer 4 (T₄):** - Power: 40 MVA - Voltage: 110/11 kV - Reactance (\(x\)): 0.08 per unit - **Motor (M):** - Power: 66.5 MVA - Voltage: 10.45 kV - Reactance (\(x\)): 0.185 per unit **Line Reactances:** - **Line 1:** - Reactance: 48.4 Ω - **Line 2:** - Reactance: 65.43 Ω **Load Characteristics:** - At bus 4, the load absorbs 57 MVA at 10.45 kV with a power factor of 0.6 lagging. **Diagram Explanation:** - **Section 1-2-3-4 (220 kV Line):** - Consists of three segments: - From Generator (G) to Transformer (T₁) via Line 1 - Transformer (T₁) shifts voltage
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