Q. No. 1. Figure I shows the single-line diagram of a simple four-bus system. Table 1 gives the line impedances identified by the buses on which these terminate. The shunt admittance at all the buses is assumed negligible. The values of real and reactive powers are listed in Table 2. Assuming a flat voltage start, and 0.2 s Q2 s1. Find the following values at the end of the first iteration of Gauss-Seidel process. (a) The YgUs (b) Reactive power at bus 2 (c) Voltage angle at bus 2 (d) Voltage magnitudes at bus 3 and 4

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Q. No. 1. Figure 1 shows the single-line diagram of a simple four-bus system. Table 1 gives the
line impedances identified by the buses on which these terminate. The shunt admittance at all the
buses is assumed negligible. The values of real and reactive powers are listed in Table 2. Assuming
a flat voltage start, and 0.2 < Q2 s 1. Find the following values at the end of the first iteration of
Gauss-Seidel process.
(a) The YBUS
(b) Reactive power at bus 2
(c) Voltage angle
(d) Voltage magnitudes at bus 3 and 4
(e) Now, suppose the permissible limits on Q2 (reactive power injection) are revised as follows:
0.25 < Q2 <1 p.u. Mention the changes and calculate new values of the state variables if required.
bus 2
(3)
Figure 1 for Q. No. 1. Single-line diagram of a simple four-bus system
Table 1 for Q. No. 1
Line,
R pu
X, pu
bus to bus
1-2
0.05
0.10
0.15
1-3
0.30
0.15
0.45
0.30
2-3
2-4
0.10
3-4
0.05
0.15
Table 2 for Q. No. 1
Вus
Pe pu
Q, pu
V, pu
Remarks
1
1.04 20°
Slack bus
0.5
1.04 20°
PV bus
PQ bus
РO bus
- 1.0
0.5
4
0.3
- 0.1
Transcribed Image Text:Q. No. 1. Figure 1 shows the single-line diagram of a simple four-bus system. Table 1 gives the line impedances identified by the buses on which these terminate. The shunt admittance at all the buses is assumed negligible. The values of real and reactive powers are listed in Table 2. Assuming a flat voltage start, and 0.2 < Q2 s 1. Find the following values at the end of the first iteration of Gauss-Seidel process. (a) The YBUS (b) Reactive power at bus 2 (c) Voltage angle (d) Voltage magnitudes at bus 3 and 4 (e) Now, suppose the permissible limits on Q2 (reactive power injection) are revised as follows: 0.25 < Q2 <1 p.u. Mention the changes and calculate new values of the state variables if required. bus 2 (3) Figure 1 for Q. No. 1. Single-line diagram of a simple four-bus system Table 1 for Q. No. 1 Line, R pu X, pu bus to bus 1-2 0.05 0.10 0.15 1-3 0.30 0.15 0.45 0.30 2-3 2-4 0.10 3-4 0.05 0.15 Table 2 for Q. No. 1 Вus Pe pu Q, pu V, pu Remarks 1 1.04 20° Slack bus 0.5 1.04 20° PV bus PQ bus РO bus - 1.0 0.5 4 0.3 - 0.1
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