Figure 9.17 shows a 3-bus system. The series impedance and shunt admittance of each line are 0.026 + j0. 11 pu and j0.04 pu respectively. The bus specification and power input, etc., at the buses is as under: Вus PG Pi Bus voltage unspecified 1.5 1.03 + j0 (Slack bus) V = 1.03 (PV bus) unspecified (PQ bus) 1 1.0 0.5 unspecified unspecified 3 1.2 0.5 For bus 2 the minimum and maximum reactive 1.5+jlG2 power limits are 0 and 0.8pu. (a) Form [Ybus] (b) Find P2º, Q2', P;°, Qs° (c) Find [ J°] (d). Form the general equation for calculating the changes in variables by NR method. Write the equation for first iteration. PV bus 1+j0.5 Slack bus PQ bus 1.2 +i0.5

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Figure 9.17 shows a 3-bus system. The series impedance and shunt admittance of each line are 0.026 +
j0. 11 pu and j0.04 pu respectively. The bus specification and power input, etc., at the buses is as under:
Вus
PG
Pi
Bus voltage
unspecified
unspecified
1.03 +j0 (Slack bus)
V = 1.03 (PV bus)
unspecified (PQ bus)
1
unspecified
1.0
0.5
1.5
3
1.2
0.5
For bus 2 the minimum and maximum reactive
1.5+JQG2
power limits are 0 and 0.8pu.
(a) Form [Ypus]
(b) Find P2°, Q2°, P3º, Q3°.
(c) Find [ J°]
(d). Form the general equation for calculating
the changes in variables by NR method.
Write the equation for first iteration.
2
PV
1 +j0.5
bus
Slack
bus
PQ
bus
3
1.2 +j0.5
Transcribed Image Text:Figure 9.17 shows a 3-bus system. The series impedance and shunt admittance of each line are 0.026 + j0. 11 pu and j0.04 pu respectively. The bus specification and power input, etc., at the buses is as under: Вus PG Pi Bus voltage unspecified unspecified 1.03 +j0 (Slack bus) V = 1.03 (PV bus) unspecified (PQ bus) 1 unspecified 1.0 0.5 1.5 3 1.2 0.5 For bus 2 the minimum and maximum reactive 1.5+JQG2 power limits are 0 and 0.8pu. (a) Form [Ypus] (b) Find P2°, Q2°, P3º, Q3°. (c) Find [ J°] (d). Form the general equation for calculating the changes in variables by NR method. Write the equation for first iteration. 2 PV 1 +j0.5 bus Slack bus PQ bus 3 1.2 +j0.5
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