Figure 5 shows a single-line diagram of a three-bus power system. Power flow input data are given in Tables 1 and 2. (a) Determine the Ybus Matrix (b) Use Gauss-Seidel method to compute V2(1) and V3(1), the phase voltages at bus 2 and 3 after the first iteration. Use zero initial phase angles and 1.0 per-unit initial bus voltage magnitudes.
Short Transmission Line
A short transmission line is a transmission line that has a length less than 80 kilometers, an operating voltage level of less than 20 kV, and zero capacitance effect.
Power Flow Analysis
Power flow analysis is a topic in power engineering. It is the flow of electric power in a system. The power flow analysis is preliminary used for the various components of Alternating Current (AC) power, such as the voltage, current, real power, reactive power, and voltage angles under given load conditions and is often known as a load flow study or load flow analysis.
Complex Form
A power system is defined as the connection or network of the various components that convert the non-electrical energy into the electric form and supply the electric form of energy from the source to the load. The power system is an important parameter in power engineering and the electrical engineering profession. The powers in the power system are primarily categorized into two types- active power and reactive power.
Figure 5 shows a single-line diagram of a three-bus power system. Power flow input data are given
in Tables 1 and 2.
(a) Determine the Ybus Matrix
(b) Use Gauss-Seidel method to compute V2(1) and V3(1), the phase voltages at bus 2 and 3 after the first iteration. Use zero initial phase angles and 1.0 per-unit initial bus voltage magnitudes.
![## Table 1:
This table provides details about different buses in an electrical system, specifying their types and various parameters.
| Bus | Type | V [pu] | δ [deg] | P<sub>G</sub> [pu] | Q<sub>G</sub> [pu] | P<sub>L</sub> [pu] | Q<sub>L</sub> [pu] | Q<sub>Gmin</sub> [pu] | Q<sub>Gmax</sub> [pu] |
|-----|-------------|--------|---------|--------------------|--------------------|--------------------|--------------------|-----------------------|-----------------------|
| 1 | swing | 1.0 | 0 | 0 | 0 | 2.0 | 0.5 | - | - |
| 2 | load | - | - | 0 | 0 | 2.0 | 0.5 | - | - |
| 3 | const. volt.| 1.0 | - | 1.0 | - | 0 | 0 | -5.0 | 5.0 |
## Table 2:
This table describes the line connections between buses, including the resistance, reactance, conductance, susceptance, and maximum MVA.
| Line | Bus-to-Bus | R [pu] | X [pu] | G [pu] | B [pu] | Max MVA [pu] |
|------|------------|--------|--------|--------|--------|--------------|
| 1 | 1-2 | 0 | 0.1 | 0 | 0 | 3.0 |
| 2 | 2-3 | 0 | 0.2 | 0 | 0 | 3.0 |
| 3 | 1-3 | 0 | 0.4 | 0 | 0 | 3.0 |
## Figure 5:
This diagram represents a simplified power system network with three buses. The connections are illustrated as follows:
- **Bus 1** is connected to **Bus 2** with a reactance of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f3c9254-abae-43c0-96bf-af8244ea2c70%2Fd2ac72b9-b8d4-45aa-97d6-9757b92d5c88%2Firt3inj_processed.jpeg&w=3840&q=75)
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