EBK POWER SYSTEM ANALYSIS AND DESIGN
6th Edition
ISBN: 9781305886957
Author: Glover
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Textbook Question
Chapter 6, Problem 6.30P
Determine the bus admittance matrix
TABLE 6.11
Bus input data for Problem 6.20
TABLE 6.12
Partially Completed Bus Admittance Matrix
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Figure 6.12 shows the one-line diagram of a simple three-bus power system with
generators at buses 1 and 3. The magnitude of voltage at bus 1 is adjusted to 1.05
pu. Voltage magnitude at bus 3 is fixed at 1.04 pu with a real power generation
of 200 MW. A load consisting of 400 MW and 250 Mvar is taken from bus 2.
Line impedances are marked in per unit on a 100 MVA base, and the line charging
susceptances are neglected. Obtain the power flow solution by the Gauss-Seidel
method including line flows and line losses.
1
2
0.02 + j0.04
400
MW
0.01 + j0.03
0.0125 + j0.025
250
Mvar
Slack Bus
3
V = 1.0520°
200
MW
| V3 = 1.04
Figure 6.12
6.1. A power system network is shown in Figure 47. The generators at
buses 1 and 2 are represented by their equivalent current sources with
their reactances in per unit on a 100-MVA base. The lines are
represented by n model where series reactances and shunt reactances
are also expressed in per unit on a 100 MVA base. The loads at buses 3
and 4 are expressed in MW and Mvar.
(a) Assuming a voltage magnitude of 1.0 per unit at buses 3 and 4,
convert the loads to per unit impedances. Convert network impedances
to admittances and obtain the bus admittance matrix by inspection.
j0.25
50.25
-j4
j0.4
j0.1
j0.16
j0.2
-j4+3
4
S3
-j4
S4
FIGURE 47
One-line diagram for Problem 6.1.
100 MW +j25 Mvar
200 MW +j50 Mvar
6.32 For a two-bus power system, a 0.7 + j0.4 per unit load at bus 2 is supplied
by a generator at bus 1 through a transmission line with series impedance
of 0.05 + j0.1 per unit. With bus 1 as the slack bus with a fixed per-unit
voltage of 1.0/0, use the Gauss-Seidel method to calculate the voltage at
bus 2 after three iterations.
Chapter 6 Solutions
EBK POWER SYSTEM ANALYSIS AND DESIGN
Ch. 6 - For a set of linear algebraic equations in matrix...Ch. 6 - For an NN square matrix A, in (N1) steps, the...Ch. 6 - Prob. 6.9MCQCh. 6 - Prob. 6.11MCQCh. 6 - Using Gauss elimination, solve the following...Ch. 6 - Prob. 6.9PCh. 6 - Determine the bus admittance matrix (Ybus) for the...Ch. 6 - Prob. 6.34PCh. 6 - Prob. 6.37PCh. 6 - Prob. 6.38P
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
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- Figure 4.34 shows double-circuit conductors' relative positions in segment I of transposition of a completely transposed three-phase overhead transmission line. The inductance is given by L=2107lnGMDGMRH/m/phase Where GMD=(DABeqDBCeqDACeq)1/3 With mean distances defined by equivalent spacings DABeq=(D12D12D12D12)1/4DBCeq=(D23D23D23D13)1/4DACeq=(D13D13D13)1/4 And GMR=[ (GMR)A(GMR)B(GMR)C ]1/3 with phase GMRs defined by (GMR)A=[ rD11 ]1/2;(GMR)B=[ rD22 ]1/2;(GMR)C=[ rD33 ]1/2 and r is the GMR of phase conductors. Now consider a 345-kV, three-phase, double-circuit line with phase-conductors GMR of 0.0588 ft and the horizontal conductor configuration shown in Figure 4.35. Determine the inductance per meter per phase in Henries (H). Calculate the inductance of just one circuit and then divide by 2 to obtain the inductance of the double circuit.arrow_forwardThe one-line diagram of a 6-bus power system is shown below with per unit impedances on common base. Determine the YBus.arrow_forwardA single line diagram of a small power system is shown below. The corresponding reactances specified in per unit. The generator no. 1, 2, and 3 with emf equal to 1.25 with angle 0° pu are connected to bus A, B, and C, respectively. (a) Calculate and write all admittances corresponding to all subscripts in per-unit admittance diagram with current sources replacing voltage sources. All nodes and branches are unchanged. (b) Calculate [Ybus] of this systemarrow_forward
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