For the three-bus system shown in figure below: • The line from bus 1 to bus 2 has an imped- ance Z = 0.05+j0.1 The other two line (1-3 and 2-3) both have an impedance Z = j0.25 The load at bus 3 is consuming 150 MW and 87 Mvar wwwwww The generator at bus 1 has a voltage set- point of 1.03 per-unit о Bus 1 Bus 2 4-j12 -4+j8j4 Ybus = -4+j8 4j12 j4 j4 j4 -j8. Bus 3 Given the Y-bus above, with bus 1 as slack bus and buses 2 and 3 as PQ buses, write the real and reactive power balance equations for bus 3 only, in terms of 02, 03, V2 and V3. You do not need to find the Jacobian or solve the equations. Include the load P and Q.

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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For the three-bus system shown in figure below:
•
The line from bus 1 to bus 2 has an imped-
ance Z = 0.05+j0.1
The other two line (1-3 and 2-3) both have
an impedance Z = j0.25
The load at bus 3 is consuming 150 MW
and 87 Mvar
wwwwww
The generator at bus 1 has a voltage set-
point of 1.03 per-unit
о
Bus 1
Bus 2
4-j12
-4+j8j4
Ybus = -4+j8
4j12
j4
j4
j4
-j8.
Bus 3
Given the Y-bus above, with bus 1 as slack bus and buses 2 and 3 as PQ buses, write the
real and reactive power balance equations for bus 3 only, in terms of 02, 03, V2 and V3.
You do not need to find the Jacobian or solve the equations. Include the load P and Q.
Transcribed Image Text:For the three-bus system shown in figure below: • The line from bus 1 to bus 2 has an imped- ance Z = 0.05+j0.1 The other two line (1-3 and 2-3) both have an impedance Z = j0.25 The load at bus 3 is consuming 150 MW and 87 Mvar wwwwww The generator at bus 1 has a voltage set- point of 1.03 per-unit о Bus 1 Bus 2 4-j12 -4+j8j4 Ybus = -4+j8 4j12 j4 j4 j4 -j8. Bus 3 Given the Y-bus above, with bus 1 as slack bus and buses 2 and 3 as PQ buses, write the real and reactive power balance equations for bus 3 only, in terms of 02, 03, V2 and V3. You do not need to find the Jacobian or solve the equations. Include the load P and Q.
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