Given two thermal generating units with the following polynomial cost functions: Coal Fired: ( F(P) = 50 + 2P, + 0.02P$/h; 40MW < P « 200MW ) Gas Fired : ( F2(P.) = 50 + P, + 0.04P?$/h; 60MW < P < 250MW \) For a load of 380 Mw, the economic dispatch point is: Select one: O a. None of these O b. • P, = 200 MW, P2 = 180 MW, A = 16.4 $/MWh • P = 245 MW, P2 = 135 MW, 1 = 11.8 $/MWh O d. P1 = 180 MW, P2 = 200 MW, A = 16.4 $/MWh P, = 212 MW, P2 = 168 MW, A = 14.5 $/MWh
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- Consider two interconnected voltage sources connected by a line of impedance Z=jX, as shown in Figure 2.27. (a) Obtain expressions for P12 and Q12. (b) Determine the maximum power transfer and the condition for it toIn a hydroelectric power plant, water at 20°C is supplied to the turbine at a rate of 0.55 m³/s through a 200-m-long, 0.35-m-diameter cast iron pipe. The elevation difference between the free surface of the reservoir and the turbine discharge is 140 m, and the combined turbine-generator efficiency is 79 percent. Disregarding the minor losses because of the large length-to-diameter ratio, determine the electric power output of this plant. The density and dynamic viscosity of water at 20°C arep= 998 kg/m3 and u= 1.002 x 10-3 kg/m-s. The roughness of the cast iron pipes is ɛ = 0.00026 m. The electric power output of this plant is kW.S.1) The serial impedance per phase of a three-phase 45 km energy transmission line is 2 + j4 / phase. A load with a power factor of cos2 = 0.8 forward is fed from the end of the line. Since the line voltage at the beginning and end of the line of the energy transmission line is wanted to be kept constant at 115 kV, a) Active and reactive powers drawn from the beginning and end of the line, b) Calculating the power consumed along the energy transmission line and the efficiency of the line. S.2) Line constants of an energy transmission line are given as A = D = 0.8746 + j0, B = 0 + j128.34, C = j0.0018316 S. At the beginning of the line, it is desired to write 1920 MW active power and 600 MVAr reactive power lines under 7650kV line voltage. According to this business, a) Calculate the line end magnitudes (U2, I2 and P2). b) What value does the end voltage take when the load fed from the end of the line is deactivated? S.3) The length of a phased energy transmission line with a…
- Clarifications on this problem: . The power dissipated in R₁ is 10 MW. The voltage across R₁ is 250 kV. For (b), the "fraction" being sought is the power dissipated in R₁ divided by the total power generated by the station (Vo). Exercise 2.1.2 Vo Station RTL RTL RL (city) About -2000 km- (a) A high-voltage direct-current generating station delivers 10 MW of power at 250 kV to a city, as depicted in the figure above. The city is represented by resistance R and each of the two wires of the transmission line between the generating station and the city is represented by resistance RTL. The distance between the two locations is 2000 km and the transmission lines are made of 10 cm diameter copper wire. Determine (a) how much power is consumed by the transmission line and (b) what fraction of the power generated by the generating station is used by the city.A 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 MWElectricity has composite demand. True False
- Problem 3.1: Determine the rms value of voltage induced in an 80-turn coil on a 30 cm × 25 cm cross-section core with peak flux density 1.7 T alternat- ing at 60 Hz. Problem 3.2: Two parallel 1-phase rectangular bus bars 2 cm apart at their cen- ter lines experience 30,000 A,ms current when a load gets short-circuited. Determine the peak mechanical force per meter length of the bus bars. Assume the bus bar shape factor K = 0.85.Borduria Generation owns three generating units that have the following cost functions: Unit A: 15 + 1.4 PA + 0.04 P2 A $/h Unit B: 25 + 1.6 PB + 0.05 P2 B $/h Unit C: 20 + 1.8 PC + 0.02 P2 C $/h How should these units be dispatched if Borduria Generation must supply a load of 350 MW at minimum cost?Q2/The yearly load duration curve of a certain power station can be approximated as a straight line; the maximum and minimum loads being 80 MW and 40 MW respectively. To meet this load, three turbine-generator units, two rated at 30 MW each and one at 20 MW are installed. Determine (a) plant factor (b) kWh output per year (c) load factor.
- A- A 3-ph, double circuit O.H.T.L, 320 kV, 340 km, 50 Hz has a configuration as shown in the figure below where each phase in the double circuit has a double bundle with a spacing of d cm between the two conductors in the bundle where d is the last two digits (from right) of your registration number (i.e for the student that has a registration mumber 202112396, d= 96). Each conductor in the bundle has a diameter of 0.135 ft and a geometric mean radius (Ds = 1.6 cm). Calculate: 1- Inductance per phase per km. 2- Total inductive reactance. 3- This T.L. is required to supply 240 MVA at 0.86 lag P.f. at 320 kV, assuming that this load is divided equally between these two circuits, find the voltage drop across this T.L (ignore capacitive effect in the calculation). 4- What may happen if we replace the location of a' and c' bundles. Discuss your answer. 5- Suggest a way to ređuce the value of the inductance. Verify your suggestion. -8 m 3m 3m 8 m 11 mIn a given system of base power of 250 MW, and bus 3 is taken as reference. The per-unit reactances are X12 = 0.2 p.u., X13 = X23 = 0. 1 p.u. The power flow in the system is given as: PF12 = 50 MW, PF13 = 150 MW, PF23 = 50 MW. Based on readings from 2 meters (not including M12 meter), M13 = 145 MW (not calibrated), and M23 = 50 MW (well calibrated), deduce the flow on line 1-2. Select one: O a. PF12 = - 47.5 MW. O b. None of these O c. PF12 = 67.5 MW. O d. PF12 = 47.5 MW. O e. PF12 =- 57.5 MW. O f. PF12 = 57 MW.Assume piecewise linear function with one segment one is used, and the cost function of each of three units is represented as: Fi(P₁) = 60+ 21.2P₁8/MWh; 160MW <<< P < 800MW F₂(P₂) 50+8PS/MWh; 100MW P₂<600MW Fa(P3) 10 13.5PS/MWh; 75 MW P₁ 400MW The slopes are: = Select one: 93. S11 21.2 S/MWh. 521 = 8 $/MWh, and S31 = 13.5 $/MWh b. None of these Oc S 13.5 $/MWh, S₂ = 8 5/MWh, and 531 = 21.2 $/MWh Dd. Sr 8 $/MWh. 521 21.2 5/MWh, and 5 = 13.5 $/MWh Clear my choice