The equipment ratings are: Generator 1: 1000 MVA, 18 kV, X = 0.3 p.u. Generator 2: 1000 MVA, 18 kV, X = 0.3 p.u. Synchronous Motor 3: 1500 MVA, 20 kV, X = 0.1 p.u. 3-phase A-Y transformers T1, T2: 1000 MVA, 500 kV Y / 20 kV A, X=0.2 p,u. 3-phase Y-Y transformer T3: 1500 MVA, 500 kV Y/ 20 kV Y, X=0.2 p.u. a) Draw an equivalent circuit (impedance network) of the power system. b) Use the base values of 1000 MVA and 500 kV for the 50SN lines. Show all the reactance in per unit
The equipment ratings are: Generator 1: 1000 MVA, 18 kV, X = 0.3 p.u. Generator 2: 1000 MVA, 18 kV, X = 0.3 p.u. Synchronous Motor 3: 1500 MVA, 20 kV, X = 0.1 p.u. 3-phase A-Y transformers T1, T2: 1000 MVA, 500 kV Y / 20 kV A, X=0.2 p,u. 3-phase Y-Y transformer T3: 1500 MVA, 500 kV Y/ 20 kV Y, X=0.2 p.u. a) Draw an equivalent circuit (impedance network) of the power system. b) Use the base values of 1000 MVA and 500 kV for the 50SN lines. Show all the reactance in per unit
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Transcribed Image Text:**3-Bus Power System Description**
**Figure Overview:**
The diagram represents a 3-bus power system comprising two generators and a synchronous motor connected via transformers and transmission lines. The key elements include:
- **Bus 1:** Connected to Generator 1 via a Δ-Y transformer (T1).
- **Bus 2:** Connected to Generator 2 via a Y-Δ transformer (T2).
- **Bus 3:** Connected to a Synchronous Motor via a Y-Y transformer (T3).
- **Transmission Lines:** Two lines, each with an impedance of j50Ω, link the buses.
**Equipment Ratings:**
- **Generator 1:**
- Power: 1000 MVA
- Voltage: 18 kV
- Reactance (X): 0.3 p.u.
- **Generator 2:**
- Power: 1000 MVA
- Voltage: 18 kV
- Reactance (X): 0.3 p.u.
- **Synchronous Motor 3:**
- Power: 1500 MVA
- Voltage: 20 kV
- Reactance (X): 0.1 p.u.
- **3-Phase Transformers:**
- **T1, T2 (Δ-Y, Y-Δ):**
- Power: 1000 MVA
- Voltage: 500 kV Y / 20 kV Δ
- Reactance (X): 0.2 p.u.
- **T3 (Y-Y):**
- Power: 1500 MVA
- Voltage: 500 kV Y / 20 kV Y
- Reactance (X): 0.2 p.u.
**Tasks:**
a) **Equivalent Circuit:** Draw the impedance network of the power system.
b) **Per Unit Calculation:** Use base values of 1000 MVA and 500 kV for the 50Ω lines. Show all reactance in per unit.
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