For the system shown in figure, voltage V2 and angle 8, are calculated using Newton-Raphson method. Calculate the complex power flow at both the ends, i.e., S12 and S21. Also calculate the power loss Soss in the transmission line. All the units are in per unit. Z12= 0.02 + j0.04 PL2 QL2 Slack bus V=1.0/0° pu V2=0.905-6.34
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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 6.30With generator conyention, where the current leaves the positive terminal of the circuit element, if P is positive then positive real power is delivered. (a) False (b) True3. Which one of the following method uses weak coupling between reactive power and voltage angle?. A. Newton - Raphson Method B. Decoupled Method C. Gauss-Seidal Method
- The annual load duration curve of a power supply system may be considered as straight line from 40 MW to 8 MW. The load factor of the system is ?At the end of the 8 km overhead line given in the figure below, there are two distribution transformers, one of which is 800kVA and the other is 1200kVA, operated with power coefficients of 0.6 and 0.8, respectively. The end-of-line voltage is 6kV. Find the required rated cross section and line head voltage so that the power loss on the line is less than %pk = 10.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.
- The one line diagram of a three phase power system is as shown in Figure 7 Impedances are marked in per unit on a 100 MVA, 400 kV base The load at bus 2 is S2 15.93 MW - j 33.4 MVar, and at bus 3 is S3 77 MW + j 14 MVar It is required to hold the voltage at bus 3 at 400 kV Working in per unit, determine the voltage at buses 2 and 1Draw an impedance diagram for the electric power system shown in the figure attached, showing all impedances in per unit on a 100-MVA base. Choose 20kV as the voltage base for generator. The three-phase power and line-line ratings are given in the figure attached.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.
- Three zones of a single-phase circuit are identified in the figure with a generator voltage specification of 240 V. The zones are connected by the transformers T1 and T2, whose ratings are shown below.Using base values of 30 kVA and 240 volts in zone 1, draw the pu circuit and determine the pu impedance and pu source voltage. Then calculate the load current in pu and in amperes.*Round the final answer to four decimal places, polar form, and label it with the correct units.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.Question 3. A three-phase impedance load balanced D a connected load in parallel with a balanced ? connected load made of bonding. D each arm for the load ?D = 6 + 6? and ? each arm for the connected load It is given as ?? = 2 + 2?. ? the connected load ?? = 1? is earthed through the neutral impedance. To this impedance load, the symmetrical component voltages ?0 = 10∠60°, ?1 = 100∠0° and ?2 = Unbalanced phase-to-earth voltages ??, ?? and ?? of 15∠200° volts were applied. a) Draw the zero, positive and negative sequence circuits. b) Find the complex powers imparted to each component circuit.