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Given two generating units with their respective variable operating costs as
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Chapter 6 Solutions
Power System Analysis and Design (MindTap Course List)
- 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 KVARarrow_forward6. If a power system has 10,000 kVA capacity, operating at 0.7 lagging power factor and cost of synchronous capacitors to correct the p.f is $10.5/kVA.Determine the cost involved and also required leading reactive power to increase the power factor to (a) 0.85 lagging p.farrow_forwardA Single Area consists of 3 generating units (G1/G2/G3) with the following characteristics: G1: 250 MVA rating, R1 = 0.02 pu (on the 250 MVA base), initial output P1 = 200 MW. G2: 350 MVA rating, R2 = 0.015 pu (on the 350 MVA base), initial output P2 = 300 MW. 0.03 pu (on the 300 MVA base), initial output P3 = 150 MW. G3: 300 MVA rating, R3 = The frequency of the system is 60 Hz. Assuming D = 1 pu on a common base of 1000 MVA, what is the new generation output for G3 for a load increase of 75 MW? Select one: O a. 190.55 MW O b. None of these O c. 203.38 MW d. 166.01 MWarrow_forward
- A generating station has a connected load of (45MW) and a maximum demand is (15MW). with average demand of (6300KW), the value of demand * factor and load factor are 0.55, 1.5 0.33 ,0.42 O 3,0.14 Oarrow_forwardA generating station having two thermal generating units shown below with minimum and maximum generations of 45 MW,60 MW and 600 MW, 800 MW respectively, have the Gen-2 following cost equations. Gen-1 C, = 0.065 Pc1? + 25 Pc1 + 400 OMR / Hr C2 = 0.082 Pc2² + 8 Pc2 + 320 OMR / Hr Calculate the saving when they share load as per economic load dispatch compared to load sharing proportional to their maximum generation. Neglect line losses. 280 MW 400 MWarrow_forwardA generating station has the following daily load cycle : Time (hours) 0-6 6-10 10-12 12–16 16-20 20-24 Load (MW) 20 25 30 25 35 Draw the load curve and find () maximum demand, (ií) units generated per day, (ii) average load, (iv) load factor, 20arrow_forward
- 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) Falsearrow_forwardA single-phase, 120V(rms),60Hz source supplies power to a series R-L circuit consisting of R=10 and L=40mH. (a) Determine the power factor of the circuit and state whether it is lagging or leading. (b) Determine the real and reactive power absorbed by the load. (c) Calculate the peak magnetic energy Wint stored in the inductor by using the expression Wint=L(Irms)2 and check whether the reactive power Q=Wint is satisfied. (Note: The instantaneous magnetic energy storage fluctuates between zero and the peak energy. This energy must be sent twice each cycle to the load from the source by means of reactive power flows.)arrow_forwardThe voltage v(t)=359.3cos(t)volts is applied to a load consisting of a 10 resistor in parallel with a capacitive reactance XC=25. Calculate (a) the instantaneous power absorbed by the resistor, (b) the instantaneous power absorbed by the capacitor. (c) the real power absorbed by the resistor, (d) the reactive power delivered by the capacitor, and (e) the load power factor.arrow_forward
- Hoover Dam has a nameplate capacity of 2080 MW[] and an annual generation averaging 4.2 TW·h. (The annual generation has varied between a high of 10.348 TW·h in 1984, and a low of 2.648 TW·h in 1956.) Determine the capacity factor. Ans. 23% (Show the Solutions)arrow_forwardA Single Area consists of 3 generating units (G1/G2/G3) with the following characteristics: G1: 200 MVA rating, R1 = 0.025 pu (on the 200 MVA base), initial output P1 = 150 MW. G2: 300 MVA rating, R2 = 0.01 pu (on the 300 MVA base), initial output P2 = 200 MW. G3: 400 MVA rating, R3 = 0.02 pu (on the 400 MVA base), initial output P3 = 300 MW. The frequency of the system is 60 Hz. Assuming D 0.75 pu on a common base of 1000 MVA, what is the new generation output for G1 for a load increase of 150 MW? Select one: a. 252.12 MW b. None of these 170.42 MW d. 155.45 MWarrow_forwardA Single Area consists of 3 generating units (G1/G2/G3) with the following characteristics: G1: 200 MVA rating, R1 = 0.025 pu (on the 200 MVA base), initial output P1 = 150 MW. G2: 300 MVA rating, R2 = 0.01 pu (on the 300 MVA base), initial output P2 = 200 MW. G3: 400 MVA rating, R3 = 0.02 pu (on the 400 MVA base), initial output P3 = 300 MW. The frequency of the system is 60 Hz. Assuming D = 0.75 pu on a common base of 1000 MVA, what is the new generation output for G1 for a load increase of 150 MW? Select one: O a. None of these O b. 252.12 MW O c. 155.45 MW O d. 170.42 MWarrow_forward
Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning