Develop the admittance matrix Ybus
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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Given the impedance diagram of a simple power system in Figure 1.
Develop the admittance matrix Ybus.

Transcribed Image Text:The image depicts a single-line diagram of a power system network. It consists of two generators, transmission lines, and various reactances. Here's a detailed explanation:
1. **Generators:**
- On the left, there is a generator with a voltage of \(1 \angle 0^\circ\).
- On the right, there is another generator with specified parameters \(P_{G2} = 0.5\) (active power) and \(V_2 = 1.0\) (voltage magnitude).
2. **Transmission Lines and Reactances:**
- The horizontal line connecting both generators is labeled with an inductive reactance \(j0.2\).
- The lines branching downward from the main transmission line have reactances of \(j0.05\).
3. **Additional Reactances:**
- The lower part of the diagram shows additional elements with \(j0.3\), \(j0.25\), and \(1.0 + j0.4\).
4. **Loads or Additional Components:**
- To the right of the diagram, there is a component with a reactance of \(0.3 + j0.1\).
5. **Ground Connections:**
- Multiple points in the network are grounded, as indicated by the symbols connecting the lines to ground.
This diagram serves as a fundamental representation of a power system network, illustrating key components such as generators, transmission lines, and various reactances used in power flow analysis.
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