A 220 kV transmission line is feeding a load as shown in Figure below, where: R1= 0 O/phase and X1 = 150 Q/phase. The sending-end voltage U is 220 kV. Bus 1 is chosen as the slack bus. While P2 = 100 MW, Q2 = 0 MVAr. Using Ubase = 220kV and Spase = {10*(Number formed by Last 2 digits of your roll number)} MVA:

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.46P
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A 220 kV transmission line is feeding a load as shown in Figure below, where: R1=
O O/phase and XL = 150 Q/phase. The sending-end voltage U is 220 kV. Bus 1 is
chosen as the slack bus. While P2 = 100 MW, Q2 = 0 MVAr. Using Ubase = 220kV
and Sbase = {10*(Number formed by Last 2 digits of your roll number)} MVA:
i. Formulate the Bus admittance matrix.
ii. Write the complete Jacobian Matrix and analyze it for the given problem. Give
reasons for the simplification of the Jacobian Matrix
iii. Write power flow equations for active and reactive power to be calculated.
iv. Write the equations for the elements of Jacobian Matrix.
v. Calculate the change in power for the first iteration
vi. Formulate Jacobian Matrix for the first iteration.
vii. Perform two iterations of Newton-Raphson power flow method and calculate
the voltage magnitude U2 and angle Y2.
U2 Z42
Transcribed Image Text:A 220 kV transmission line is feeding a load as shown in Figure below, where: R1= O O/phase and XL = 150 Q/phase. The sending-end voltage U is 220 kV. Bus 1 is chosen as the slack bus. While P2 = 100 MW, Q2 = 0 MVAr. Using Ubase = 220kV and Sbase = {10*(Number formed by Last 2 digits of your roll number)} MVA: i. Formulate the Bus admittance matrix. ii. Write the complete Jacobian Matrix and analyze it for the given problem. Give reasons for the simplification of the Jacobian Matrix iii. Write power flow equations for active and reactive power to be calculated. iv. Write the equations for the elements of Jacobian Matrix. v. Calculate the change in power for the first iteration vi. Formulate Jacobian Matrix for the first iteration. vii. Perform two iterations of Newton-Raphson power flow method and calculate the voltage magnitude U2 and angle Y2. U2 Z42
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