5.6 The generalized circuit constants of a transmission line areA = 0.93 + j0.016B = 20 + 140The load at the receiving-end is 60 MVA, 50 Hz, 0.8 power factorlagging. The voltage at the supply end is 220 kV. Calculate the loadvoltage. ig. 6.2.Y13The elements of this matrix, of course, agree with those previously calculatedin Eq. (6.3)Example 6.2Figure 6.5 shows the one-line diagram of a simple four-bus system. Table 6.1gives the line impedances identified by the buses on which these terminate. Theshunt admittance at all the buses is assumed negligible.(a) Find YBUS assuming that the line shown dotted is not connected.(b) What modifications need to be carried out in YBUs if the line shown dottedis connected.123Fig. 6.5 Sample system for Example 6.2Table 6.1Line,X, pubus to bus1-20.151-30.302-30.452-40.303-40.15R, pu0.050.100.150.100.05

Given data : Parameters values of given transmission line is shown below,…

5.6 The generalized circuit constants of a transmission line are A = 0.93 + j0.016 B = 20 + 140 The load at the receiving-end is 60 MVA, 50 Hz, 0.8 power factor lagging. The voltage at the supply end is 220 kV. Calculate the load voltage.

5.6 The generalized circuit constants of a transmission line are A = 0.93 + j0.016 B = 20 + 140 The load at the receiving-end is 60 MVA, 50 Hz, 0.8 power factor lagging. The voltage at the supply end is 220 kV. Calculate the load voltage.

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

Chapter11: Transient Stability

Section: Chapter Questions

Problem 11.10P

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Concept explainers

Compensation Techniques

The compensation techniques are the methods that are employed in the electrical control systems to enhance the performance of the system. The performance are generally affected by the factors like lag in the compensating devices, slow response of the system of the components like sensors used in the control system. The basic compensation technique involves lag compensation, lead compensation or the combination of the both.

Question

5.6 The generalized circuit constants of a transmission line are
A = 0.93 + j0.016
B = 20 + 140
The load at the receiving-end is 60 MVA, 50 Hz, 0.8 power factor
lagging. The voltage at the supply end is 220 kV. Calculate the load
voltage.

ig. 6.2.
Y13
The elements of this matrix, of course, agree with those previously calculated
in Eq. (6.3)
Example 6.2
Figure 6.5 shows the one-line diagram of a simple four-bus system. Table 6.1
gives the line impedances identified by the buses on which these terminate. The
shunt admittance at all the buses is assumed negligible.
(a) Find YBUS assuming that the line shown dotted is not connected.
(b) What modifications need to be carried out in YBUs if the line shown dotted
is connected.
1
2
3
Fig. 6.5 Sample system for Example 6.2
Table 6.1
Line,
X, pu
bus to bus
1-2
0.15
1-3
0.30
2-3
0.45
2-4
0.30
3-4
0.15
R, pu
0.05
0.10
0.15
0.10
0.05

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Example 6.1: For the simplified system shown, the generators are connected at all the three buses. In addition, loads are connected at Buses 2 and 3. Values of real and reactive powers are listed on the table provided. All other buses other than the Slack Bus are PQ type. Assuming a Flat Voltage Start, find the bus voltages and its corresponding bus voltage angles at the two other buses at the end of the first iteration. 5- j16 YBUS =|-8 + j2.65 -8 + j2.65 2.8 - j20 -3 + j6.5 -3.33 + j5.2 -3 + j6.5 -3.33 + 5.2 4.5 – j25 Bus Pi, pu Qi, pu Vi, pu Remarks 1 1.0520° Slack Bus 2 0.7 -0.4 PQ Bus 3 -1.2 0.6 PQ Bus
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
6.11. In the two-bus system shown in Figure 6.24, bus 1 is a slack bus with V₁ = 1.020° pu. A load of 100 MW and 50 Mvar is taken from bus 2. The line impedance is z12 = 0.12 + j0.16 pu on a base of 100 MVA. Using Newton- Raphson method, obtain the voltage magnitude and phase angle of bus 2. Start with an initial estimate of |V₂|(0) = 1.0 pu and 8₂ (0) two iterations. 0°. Perform 2 *12 = 0 12 + j0.16 Note 100 MW -+-) 50 Myar Perform Second iteration I have problem while solving it 어 V = 1.040° FIGURE 6.24 One-line diagram for Problem 6.11.. U(¹) = 0.8 Pu ops 62 = -1.0 radion
6.11. In the two-bus system shown in Figure 6.24, bus 1 is a slack bus with V₁ = 1.040° pu. A load of 100 MW and 50 Mvar is taken from bus 2. The line impedance is z12 = 0.12 + j0.16 pu on a base of 100 MVA. Using Newton- Raphson method, obtain the voltage magnitude and phase angle of bus 2. Start with an initial estimate of |V₂|(0) 1.0 = 0°. Perform and 62 (0) pu two iterations. 2 100 MW 212 = 0 12 + j0.16 -|- 50 Mvar ot V₁ = 1.040° FIGURE 6.24
6.11. In the two-bus system shown in Figure 6.24, bus 1 is a slack bus with V₁ = 1.020° pu. A load of 100 MW and 50 Mvar is taken from bus 2. The line impedance is 212 0.12 + j0.16 pu on a base of 100 MVA. Using Newton- Raphson method, obtain the voltage magnitude and phase angle of bus 2. Start with an initial estimate of |V₂|(0) 1.0 pu and 5₂ (0) two iterations. 0°. Perform Note 212 0.12 + 30.16 +100 MW nghiệm 50 Mvar Perform Second iteration I have problem Y, while solving it 어 V₁ = 1.040° FIGURE 6.24 One-line diagram for Problem 6.11. V(i) = 0.8 Pu 62") = -1.0 radion
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
i need the answer quickly
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.
6.5. A three phase 50 Hz transmission line has impedance of (25.3 + j66.5) ohms and a shunt admittance of 4.42 x 10 mho per phase. If it delivers a load of 50 MW at 220 kV at 0.8 power factor lagging, determine the sending end voltage (a) by short line approximation (b) nominal II method (c) exact transmission line equations. Ans. (a) 233.8 2.2° kV, (b) 232.2 2.33°, (c) 230.52 2.50° kV,
For the system in Figure 4 with given generation and load dispatch determine the voltages after two itterations of Gauss-Seidel method. Assume the initial voltage to be 1.01 at angle of 0◦ pu at bus 1, 1.015 at angle of 0◦ pu at bus 2, and 1.0 at angle of 0◦ pu at bus 3. All line impedances are in per unit on a common base, and charging is neglected. Take base power of 100 MVA.
Problem 6.10: A 2-MVA, 4160/480 V transformer has series impedance of R = 2% and X = 6%. Determine the (i) full load voltage regulation of the trans- former at 0.85 pf lagging, and (ii) secondary output voltage on unloading the transformer completely.
Q2. Figure Q2 shows the single-line diagram. The scheduled loads at buses 2 and 3 are as marked on the diagram. Line impedances are marked in per unit on 100 MVA base and the line charging susceptances are neglected. a) Using Gauss-Seidel Method, determine the phasor values of the voltage at load bus 2 and 3 according to second iteration results. b) Find slack bus real and reactive power according to second iteration results. c) Determine line flows and line losses according to second iteration results. d) Construct a power flow according to second iteration results. Slack Bus = 1.04.20° 0.025+j0.045 0.015+j0.035 0.012+j0,03 3 |2 134.8 MW 251.9 MW 42.5 MVAR 108.6 MVAR