Generator 1 G Bus 1 Line 1 Load 1 Bus 2 The information of the system is presented as follows: Generator data: Line 3 Line 2 Bus 3 G Generator 2 Load 2 Line 4 G Bus 4 Load 3 Generator 3 • Generator 1 is located at Bus 1, its maximum capacity is 300 MW, and its cost is $22/MW. Generator 2 is located at Bus 3, its maximum capacity is 300 MW, and its cost is $35/MW. • • Generator 3 is located at Bus 4, its maximum capacity is 300 MW, and its cost is $53/MW. Transmission line data: Line 1 is from Bus 1 to Bus 2, its capacity is 500 MW, and its reactance is 0.1 per unit. • Line 2 is from Bus 1 to Bus 4, its capacity is 176 MW, and its reactance is 0.08 per unit. • Line 3 is from Bus 2 to Bus 3, its capacity is 500 MW, and its reactance is 0.1 per unit. Line 4 is from Bus 3 to Bus 4, its capacity is 500 MW, and its reactance is 0.1 per unit. Load data: • Load 1 is at Bus 2, and it is 123 MW. • Load 2 is at Bus 3, and it is 200 MW. • Load 3 is at Bus 4, and it is 300 MW. The MVA base value is 100 MVA, the big M is 1000. Only a maximum of 1 line can be switched out. What is the total cost of generation for the system in dollars? (Please just enter the number. No need to enter the unit.)

Generator 1 G Bus 1 Line 1 Load 1 Bus 2 The information of the system is presented as follows: Generator data: Line 3 Line 2 Bus 3 G Generator 2 Load 2 Line 4 G Bus 4 Load 3 Generator 3 • Generator 1 is located at Bus 1, its maximum capacity is 300 MW, and its cost is $22/MW. Generator 2 is located at Bus 3, its maximum capacity is 300 MW, and its cost is $35/MW. • • Generator 3 is located at Bus 4, its maximum capacity is 300 MW, and its cost is $53/MW. Transmission line data: Line 1 is from Bus 1 to Bus 2, its capacity is 500 MW, and its reactance is 0.1 per unit. • Line 2 is from Bus 1 to Bus 4, its capacity is 176 MW, and its reactance is 0.08 per unit. • Line 3 is from Bus 2 to Bus 3, its capacity is 500 MW, and its reactance is 0.1 per unit. Line 4 is from Bus 3 to Bus 4, its capacity is 500 MW, and its reactance is 0.1 per unit. Load data: • Load 1 is at Bus 2, and it is 123 MW. • Load 2 is at Bus 3, and it is 200 MW. • Load 3 is at Bus 4, and it is 300 MW. The MVA base value is 100 MVA, the big M is 1000. Only a maximum of 1 line can be switched out. What is the total cost of generation for the system in dollars? (Please just enter the number. No need to enter the unit.)

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

Chapter3: Power Transformers

Section: Chapter Questions

Problem 3.45P: Figure 3.39 shows a oneline diagram of a system in which the three-phase generator is rated 300 MVA,...

See similar textbooks

Similar questions

e = 0 Q1: What does happen if we change two currents? a. Q2: What does happen if we have a three-phase four poles machine? Q3: What does happen if we have a two-phase two poles machine? e = 0 Q4: What does happen if we apply a capacitance in phase b and then use same voltage for both phase. Dr. Ali Ki. pw --
1. A single-phase power system as shown in Figure 1 consists of a 240 V, 60 Hz generator supplying a load, Zod = 8 + j6 Q through a transmission line of impedance, Zne = 0.08 + j0.14 Q. Answer the following questions: (1) transformer, T; and T2. Determine the voltage at the load and transmission line losses without the (ii) Determine the voltage at the load and transmission line losses with the transformer, T, and T2. T1 T2 1:10 10:1 IG Zaine Zioad source Figure 1
Figure below shows a power system. The rating of generators and transformers are:G1:25MVA, 6.6KV, jO.2 p.u. G2:15MVA, 6.6KV, jo.15 p.u. G3:30MVA, 13.2KV, jo.15 p.u. T1: 30MVA, 6.6A- 115Y KV, jo.1 p.u.T2: 15MVA, 6.6A- 115Y KV, jo.1 p.u. T3:single phase units each rated 10MVA, 69/ 6.9 KV, jo.1 p.u. Find te reactances in p.u, take a base of 30MVA, 6.6 KV in the circuit of G1 .=.XG1 G2} 4 A lubu T2 T1 T3 G1 G3 j120 2 j90 N
If the load draws a current of 2727 A, in phase, from a generator, which of the following statement is true? O A. The reactive power is flowing from generator to the load and the real power is flowing from the load to the generator. O B. Since the current is in phase with the generator voltage, both the real and reactive power is flowing from the generator to the load. O .Since the current is leading the generator, both the real and reactive power is flowing from the load to the generator. O D. The real power is flowing from generator to the load and the reactive power is flowing from the load to the generator. O E. None of the other choices are correct
The reactance of a generator is given as 0.1 pu based on the generator of 17 KV, 300 MVA. Determine the pu reactance on a base of 17 KV, 250 MVA. New pu reactance is.......
Q1 (a) In Figure Q1(a), four identical 10 MVA, 11 kV, 50 Hz three-phase generators, A, B, C and D, are connected to a 66-kV transmission system through a 6 MVA, 11/66 kV transformer E. All reactances in per unit are based on their own components' ratings. Generator Generator Generator Generator A в D 10 MVA 10 MVA 10 MVA 10 MVA XG = 0.12 p.u. XG = 0.12 p.u. Xe = 0.12 p.u. XG = 0.12 p.u. Reactor R 11 kV 11 kV Transformer E 6 MVA XT = 0.03 p.u. 66 kV F Figure Q1(a) By using bases of 10 MVA and rated voltages in your calculation, determine: (i) the value of reactor R (in Henry) needed to limit the MVA fault level at F to be 100 MVA, for a symmetrical fault at F. (ii) the value of short-circuit current (in A) at F due to conditions in (i).
One-line diagram of a power system is shown below. Relevant details are mentioned below. Generator: 100 MVA, 11 kV, 3-phase, reactance 20%; Transformer T1: 100 MVA, 10/132 kV, reactance 6%; Transformer T2: 80 MVA, 132/10 kV, reactance 5%; Line reactance is 100 Q. Motors M1 and M2 are rated at 50 MVA and 40 MVA respectively both at 10 kV and 20% reactance. In the above, reactances are per-phase values. Taking generator rating as base, draw the per- phase impedance diagram in which the elements need to be expressed in per unit. * T1 M, Transmission Line G M2) A
The one-line diagram of an unloaded power system is shown below. T2 j 80 0 j 100 2 E Y uw Ts Reactances of the two sections of transmission line are shown in the diagram. The generators and transformers are rated as follows: Generator 1: 20 MVA, 13.8 kV, X" = 0.2 per unit Generator 2: 30 MVA, 18 kV, X = 0.2 per unit Generator 3: 30 MVA, 20 kV, X" = 0.2 per unit Transformer T1: 25 MVA, 220Y/13.8A kV, X = 10% Transformer T2: Single-phase units each rated 10 MVA, 127/18 kV, X = 10% Transformer T3: 35 MVA, 220Y/22Y kV, X = 10% Compute for the reactances per unit and by choosing a base of 50 MVA, 13.8kV in the circuit of generator 1. Show your complete solutions (41-48): 41. What is the generator 1 per unit reactance? a. 0.3333 b. 0.2755 c. 0.5 d. 0.2 42. What is the transformer 1 per unit reactance? a. 0.2 b. 0.1667 c. 0.1429 d. 0.0826 43. What is the transmission line 1 (point B to C) per unit reactance? a. 0.1033 b. 0.0826 c. 0.5 d. 0.2 44. What is the transformer 3 per unit reactance?…
two generators supplying a load. Generator I has a no-load frequency of 62.5 Hz and a slope Sp1 of I MW/Hz. Generator 2 has a no-load frequency of 62.0 Hz and a slope sp2 of I MW/Hz. The two generators are supplying a real load totaling 2.5 MW at 0.8 PF lagging. (a) At what frequency is this system operating, and how much power is supplied by each of the two generators? (b) Suppose an additional I-MW load were attached to this power system. What would the new system frequency be, and how much power would Gl and G2 supply now? Generator 1 VT V2 Generator 2 VTí KVAR KVAR
Equipment ratings and per-unit reactances for the system shown in the below figure are given as follows: Synchronous generators: GI 100 MVA 25 kV X1 = X2 = 0.2 Xo = 0.05 G2 100 MVA 13.8 kV X = X2 = 0.2 Xo =0.05 Transformers: TI 100 MVA 25/230 kV X = X2 = X, = 0.05 T2 100 MVA 13.8/230 kV X = X2 = Xo = 0.05 Transmission lines: TL12 100 MVA 230 kV X = X2 = 0.1 Xo =0.3 TL13 100 MVA 230 kV X = X2 = 0.1 Xo = 0.3 %3D TL23 100 MVA 230 kV X = X2 = 0.1 Xo = 0.3 %3D Using a 100-MVA, 230-kV base for the transmission lines, draw the per-unit sequene networks and reduce them to their Thévenin equivalents, “looking in" at bus 3. Neglect A-Y phase shifts. Compute the fault currents for a bolted three-phase fault at bus 3. 2 T2 b T1 TL12 to G1 G2 TL13 TL23 j0,03 j0,03 3
Q2 (a) Three-phase generator consist of three set of single-phase generators, with voltages equal in magnitude but differing in phase angle by 120° apart. (i) Sketch phasor diagram of the three-phase voltages VA, VB and Vc (ii) Plot the three-phase voltages waveform in Q2(a)(i) in single plot.
Consider the single-line diagram of the power system shown in Figure 3.38. Equipment ratings are Generator 1: 1000MVA,18kV,X=0.2perunit Generator 2: 1000MVA,18kV,X=0.2p.u. Synchronous motor 3: 1500MVA,20kV,X=0.2p.u. Three-phase -Y transformers T1,T2,T3,T4,: 1000MVA,500kV,Y/20kV,X=0.1p.u. Three-phase YY transformer T5: 1500MVA,500kV,Y/20kVY,X=0.1p.u. Neglecting resistance, transformer phase shift, and magnetizing reactance, draw the equivalent reactance diagram. Use a base of 100 MA and 500 kV for the 50-ohm line. Determine the per-unit reactances.