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- Develop the π model for a transformer (whose transformation ratio is 1 : a ) connected between bus i and j.
- A singular transformation approach to obtain the bus admittance matrix ( Ybus ) for the power system network shown in Table 1. Show all steps.
| From Bus | To Bus | Reactance ( p. u ) | Half Line Charging (susceptance in p.u) |
|---|---|---|---|
| 1 | 2 | 0.200 | 0.24 |
| 2 | 3 | 0.100 | 0.16 |
| 3 | 4 | 0.250 | 0.30 |
| 4 | 1 | 0.125 | 0.50 |
| 1 | 3 | 0.125 | 0.50 |
3. Utilize an appropriate method to obtain the power flow solution (for the first iteration ) for the network shown in Table 1. The bus data is displayed in Table 2 if needed.
| Bus | Voltage Mag. (pu) | Voltage Angle (Deg.) | Real Power (pu) | Reactive power (pu) |
|---|---|---|---|---|
| 1 | 1.06 | 0 | — | — |
| 2 | — | — | 0.20 | 0.10 |
| 3 | — | — | 0.45 | 0.15 |
| 4 | — | — | 0.60 | 0.10 |
4. Write the computer algorithm to obtain the power flow solution using the Gauss-Seidel method. Derive the basic voltage equation used in this method.
5. What are the different operating states of a power system ? Discuss the in detail alongside the state transition diagram.
6. What does contingency analysis mean in the power system ? Why is it essential for the power system planning ? Explain with the help of an example.