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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

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

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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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