QI/A: The per unit admittances are indicated at the diagram and the bus data are given in table as shown. Determine the voltage at bus 2 and reactive power at hus 3 after one iteration using suitable method. All values are in per unit. PL PG No. QG Type Angle QL 1.0 0 *** 1 1.0 0.15 0 2 ? 0.8 1.0 0 + y=-j5 p.u 3 Slack Load Gen. y=-J2 p.u 3 --- 0 6820 0 www. 0.35 0 y=-J2.5 p.u

QI/A: The per unit admittances are indicated at the diagram and the bus data are given in table as shown. Determine the voltage at bus 2 and reactive power at hus 3 after one iteration using suitable method. All values are in per unit. PL PG No. QG Type Angle QL 1.0 0 *** 1 1.0 0.15 0 2 ? 0.8 1.0 0 + y=-j5 p.u 3 Slack Load Gen. y=-J2 p.u 3 --- 0 6820 0 www. 0.35 0 y=-J2.5 p.u

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 6.30P: Determine the bus admittance matrix (Ybus) for the three-phase power system shown in Figure 6.23...

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Determine the bus admittance matrix (Ybus) for the three-phase power system shown in Figure 6.23 with input data given in Table 6.11 and partial results in Table 6.12. Assume a three-phase 100 MVA per unit base. TABLE 6.11 Bus input data for Problem 6.20 TABLE 6.12 Partially Completed Bus Admittance Matrix (Ybus) for Problem 6.30
PowerWorid Simulator case Problem 3_60 duplicates Example 3.13 except that a resistance term of 0.06 per unit has been added to the transformer and 0.05 per unit to the transmission line. Since the system is no longer lossless, a field showing the real power losses has also been added to the oneline. With the LTC tap fixed at 1.05, plot the real power losses as the phase shift angle is varied from 10 to +10 degrees. What value of phase shift minimizes the system losses?
A small manufacturing plant is located 2 km down a transmission line, which has a series reactance of 0.5/km. The line resistance is negligible. The line voltage at the plant is 4800V(rms). and the plant consumes 120kW at 0.85 power factor lagging. Determine the voltage and power factor at the sending end of the transmission line by using (a) a complex power approach and (b) a circuit analysis approach.
While the instantaneous electric power delivered by a single-phase generator under balanced steady-state conditions is a function of time havi ng two components of a constant and a double-frequency sinusoid, the total instantaneous electric power delivered by a three-phase generator under balanced steady-state conditions is a constant. (a) True (b) False
a. What is the unit load per ft2 for the general lighting load of a residence? ____ b. What are the demand factors for the general lighting load in dwellings? ____
With the same transformer banks as in Problem 3.47, Figure 3.41 shows the oneline diagram of a generator, a step-up transformer bank, a transmission line, a stepown transformer bank, and an impedan load. The generator terminal voltage is 15 kV (line-to-line). (a) Draw the per-phase equivalent circuit, aounting for phase shifts for positive-sequence operation. (b) By choosing the line-to-neutral generator terminal voltage as the reference, determine the magnitudes of the generator current, transmiss ion-line current, load current, and line-to-line load voltage. Also, find the three-phase complex power delivered to the load.
Consider a single-phase electric system shown in Figure 3.33. Transformers are rated as follows: XY15MVA,13.8/138kV, leakage reactance 10 YZ15MVA,138/69kV, leakage reactance 8 With the base in circuit Y chosen as 15MVA,138kV determine the per-unit impedance of the 500 resistive load in circuit Z, referred to circuits Z, Y, and X. Neglecting magnetizing currents, transformer resistances, and line impedances, draw the impedance diagram in per unit.
Figure shows the one-line diagram of a simple three-bus power system with generation at buses 1 and 3. The voltage at bus 1 is V1 is 1.025 at an angle of 0◦ per unit. Voltage magnitude at bus 3 is fixed at 1.03 pu with a real power generation of 300 MW. A load consisting of 400 MW and 200 MVAr is taken from bus 2. Line impedances are marked in per unit on a 100 MVA base. (a) Construct Ybus matrix for the system in Figure (b) Using Gauss-Seidel method and initial estimate of V2(0) = 1.0 + j0 and V3(0) = 1.03 + j0 and keeping |V3| = 1.03 pu, determine the phasor values of V2 and V3. Perform two iterations.
Solve numerical : Following figure shows the one-line diagram of a two bus system. Take bus 1 as slack bus, bus 2 as load (PQ) bus. Neglect the shunt charging admittance. Obtain the bus admittance matrixYBUS and find V2 and δ2, power flows and line losses by using Fast decoupled power flow method. All the values are given in per unit on 100MVA base. Use a tolerance of 0.001 for power mismatch.
Draw the per unit impedance diagram for the simple power system in the figure. Catalog of all elementsThe impedances in the information are listed below. The line's actual impedance value and the load'sThe MVA value is also included in this list. Assume a power base value of 100 MVA for all impedances.On the generator side, take the voltage base as 20-kV.
The figure below shows the one-line diagram of a simple three-bus power system withgeneration at bus 1. The voltage at bus 1 is V1 = 1.0∠0°per unit. The scheduledloads on buses 2 and 3 are marked on the diagram. Line impedances are marked inper unit on a 100 MVA base.(a) Using Gauss-Seidel method and initial estimates of ?2(0) = 1.0 + ?0, ?3(0) = 1.0 + ?0, determine V2and V3. Perform two iterations.(b) If after several iterations the bus voltages converge to?2 = 0.90 − ?0.10 pu?3 = 0.95 − ?0.05 pudetermine the line flows and line losses and the slack bus real and reactive power.
Can you solve the question step by step clearly? please dont forget to calculate load power and power factor for both cases