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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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Chapter 6 Solutions
MindTap Engineering, 1 term (6 months) Printed Access Card for Glover/Overbye/Sarma's Power System Analysis and Design, 6th
- Problem 6.2: A 3000 kVA, 3-phase transformer bank steps down line voltage from 12.5 kV to 480 V. The HV side is connected in A and the LV side in grounded Y. Determine (a) the HV side line and phase currents, and (b) the LV side line and phase currents.arrow_forward6.11. 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 radionarrow_forward6.11. 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 radionarrow_forward
- 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.arrow_forwardThe equivalent circuit of a single phase short transmission line is shown in Figure Q4 (b). Here, the total line resistance and inductance are shown as lumped instead of being distributed. i) Sketch the phasor diagram and assess with by labeling the details for the A.C. series circuit shown in Figure Q4 (b) for the lagging power factor at load point (Vn). ii) Summarize, the impact of voltage regulation and efficiency, if the line resistance and line increases are doubled Figure Q4(b). R XL Vs Vn Figure Q4(b) Loadarrow_forward6.5. 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,arrow_forward
- Q4(b) The equivalent circuit of a single phase short transmission line is shown in Figure Q4(b). Here, the total line resistance and inductance are shown as lumped instead of being distributed. i) Sketch the phasor diagram and assess with by labeling the details for the A.C. series circuit shown in Figure Q4(b) for the lagging power factor at load point (Vn). ii) Summarize, what if the load change from low value to high value shown in Figure Q4(b). R XL el Vs Vn Figure Q4(b) Loadarrow_forwardThe one-line diagram of a 6-bus power system is shown below with per unit impedances on common base. Determine the YBus.arrow_forwardYou are given that the system shown in Figure 4.25 has a 110/220 kV autotransformer. The positive- and zero-sequence impedances in ohms or percent are as shown in the figure, the zero-sequence impedances being in parentheses. Assume that the low- voltage system is solidly grounded. For a phase-a-to-ground fault at the midpoint of the transmission line, calculate the transformer current In in the neutral and the phase a currents Ia and I'a on the high and low sides of the transformer. If the source on the low-voltage side is to be grounded through a reactance, determine the value of the grounding reactance for which the transformer neutral current becomes zero. As the grounding reactance changes around this value, the direction of the neutral current will reverse, and will affect the polarizing capability of the neutral current for ground faults on the high side. Can faults on the low-voltage side ever cause the neutral current to reverse?arrow_forward
- 6.6. In the power system network shown in Figure 6.5, bus 1 is a slack bus with V = 1.020° per unit and bus 2 is a load bus with S2 = 280 MW + j60 Mvar. The line impedance on a base of 100 MVA is Z = 0.02 + j0.04 per unit. (a) Using Gauss-Seidel method, determine Va. Use an initial estimate of V 1.0 + j0.0 and perform four iterations. (b) If after several iterations voltage at bus 2 converges to V, = 0.90 j0.10, determine S, and the real and reactive power loss in the line. %3D S1 Z12 0.02+ j0.04 2 1 S2 280 MW +j60 Mvararrow_forwardTransmission line conductance is usually neglected in power system studies. True Falsearrow_forward
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning
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