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Develop the admittance matrix Ybus

Develop the admittance matrix Ybus

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

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.
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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