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A 350-km, 500-kV, 60-Hz, three-phase uncompensated line has a positive-sequence series reactance
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Chapter 5 Solutions
Power System Analysis and Design (MindTap Course List)
- A 500-kV, 300-km, 6()-Hz, three-phase overhead transmission line, assumed to be lossless, has a series inductance of 0.97 mH/krn per phase and a shunt capacitance of 0.0115F/km. per phase. (a) Determine the phase constant p, the surge impedance Zc, velocity of propagation v, and the wavelength of the line (b) Determine the voltage, current, real and reactive power at the sending end, and the percent voltage regulation of the line if the receiving-end load is 800 MW at 0.8 power factor lagging and at 500 kV.arrow_forwardA 3-ph, 50 Hz, 150 km line has resistance, inductive reactance and capacitive admittance of 0.1, 0.5 and 3 x 10-6 Ω per km per phase. If the line delivers 50 MW at 110 kV and 0.8 p.f. lagging, determine the sending end voltage and current assuming a nominal π circuit of the line.arrow_forwardGeometric mean radius of a 3-phase transmission line of 422 kV, 220 km length 22 mm dir. The roughness factor of the conductor is 0.82 and the geometric mean length between phases is 11 m. Air pressure along the line is 720 mm Hg and the temperature is 22 ° C. In this transmission line; a) - Calculate the corona voltage and the voltage at which ionization begins with impingement particles. b) - Find the total corona loss in the three phase system for the operating voltage with the Peek formula c) - Find the total corona loss for 1% increase in operating voltage.arrow_forward
- q) lossless transmission line has a capacitance per unit length of 64pF/m and an inductance per unit length of 1μH/m. The load impedance ZL is purely resistive. Both the load impedance and the generator impedance are 50 Ohms.The generator frequency is 12.5MHz. the propagation constant β and wavelength λ equal to? a)π/5 , 10 b)π/5 , 15 c)π/3 , 15 d) π/6 , 8arrow_forward380 kilovolts 50 hertz length of a transmission line 250 kilometers given as.Steel core aluminum conductors were used in a three-phase transmission line and the diameter of these conductors was determined 20 millimeters given as. The roughness coefficient of these conductors is 0.9 , If the phase gaps are 5 meters . Average air temperature and air pressure along the line, respectively 25 °C and 750 mmHg is. Under these given conditions, the line Assuming that it is operated at 494 kilovolts voltage; a) Calculate the corona loss per kilometer of a phase of the transmission line using the peek formula ? b) Calculate the total corona losses that will occur in this transmission line using the peek formula. (Result will be entered in MegaWatts) ?arrow_forwardA 500kV,300km,60Hz500kV,300km,60Hz, three-phase overhead transmission line, assumed to be lossless, has a series inductance of 0.97mH/km0.97mH/km per phase and a shunt capacitance of 0.0115mF/km0.0115mF/km per phase. Determine the phase constant ββ, the surge impedance ZcZc, velocity of propagation vv, and the wavelength λλ of the line. a. β=0.001259rad/km,Zc=290.43Ω,v=2.994×105km/s,λ=4990kmβ=0.001259rad/km,Zc=290.43Ω,v=2.994×105km/s,λ=4990km b. β=0.001259rad/km,Zc=290.43Ω,v=2.599×105km/s,λ=4990kmβ=0.001259rad/km,Zc=290.43Ω,v=2.599×105km/s,λ=4990km c. β=0.000629rad/km,Zc=290.43Ω,v=1.533×105km/s,λ=4990kmβ=0.000629rad/km,Zc=290.43Ω,v=1.533×105km/s,λ=4990km d. β=0.001049rad/km,Zc=290.43Ω,v=2.994×105km/s,λ=5998kmarrow_forward
- The length of a transmission line is (1000/3) kilometers. For this transmission line r=0.15 ohm/km x=0.8 Ohm/km y=5 * 10^-6 S/km given in the form. At the end of the line (36) MW is drawn and the end-of-line voltage is (220) kV. power factor: 0.95 (back) a. Assuming the line as a short line, calculate the VS and IS values with their angles. b. A, B, C, D by accepting the line as a mid-length line and using the "T" model approach. Calculate the parameters (Vs Is calculation is not needed) C. Calculate only parameter A, assuming the line as a long line.arrow_forwardA 300 km long 3-phase transmission line of 154 kV is operated at 60 Hz. The line is on average 1200 m above sea level and instead At 120m, an air outlet decreases by 10 mmHg. Sea free air the dose is 760 mmHg and the puncture strength of the air is 30 kV / cm As it is known, the roughness of the line is 0.89 for the average outdoor temperature of 34 oC, The distance between the conductors is 550 cm and the conductor cross section is 40mm. along the line by calculating the corona voltage and corona discharge voltage calculate the total corona loss that occurred.arrow_forwardA 50-ohm lossless transmission line has series inductance of 250 nH/m and shunt capacitance of 100 pF/m. What is the time delay per unit length (in ns/m) of this transmission line? Enter only the numerical value. No need for the unit. Use four decimal places (if the answer is not an interger).arrow_forward
- A 500 kV, 60 Hz uncompensated three-phase transmission line is 500 km long. The line has three ACSR 1113-kcmil (Finch) conductors per phase with parameters Current carrying capability of single ACSR 1113-kcmil (Finch) conductor is 1,110 A. Calculate the theoretical maximum (steady state stability limit) real power that this line can deliver and compare with the thermal limit of the line. Assume VS = VR = 1.0 per unit and unity power factor at the receiving end.arrow_forwardDesign a ‘π’ equivalent circuit for 320 km long 3-φ, 50 Hz transmission line.The line is composed of Drake conductors with the outside diameter of 2.8 cm and flat horizontal spacing of 3.65 m between adjacent conductors. The line has a resistance of 0.075 Ω/km.arrow_forwardA three-phase, 765-kV, 60-Hz transposed line is composed of four ACSR, l,431,000-cmil, 45/7 Bobolink conductors per phase with flat horizontal spacing of 14 m. The conductors have a diameter of 3.625 cm and a GMR of 1.439 cm. The bundle spacing is 45 cm. The line is 400 km long, and for the purpose of this problem, a lossless line is assumed. (a) Determine the transmission line surge impedance Zc, phase constant ß, Wavelength λ, the surge impedance loading SIL, and the ABCD constant. b) The line delivers 2000 MVA at 0.8 lagging power factor at 735 kV. Determine the sending end quantities and voltage regulation. c) Determine the receiving end quantities when 1920 MW and 600 Mvar are being transmitted at 765 kV at the sending end. (d) The line is terminated in a purely resistive load. Determine the sending end quantities and voltage regulation when the receiving end load resistance is 264.5 Ω at 735 kV.arrow_forward
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning