A three-phase transmission line is 200 km long. It has a total series impedance of (25+ jl 10)2 per phase and a total shunt admittance of j5×10 . It delivers 180 MW at 275 kV and 0.8 power factor lagging to a load connected at the receiving end. Using the medium t model of the line, determine the voltage, current, real power, reactive power and power factor at the sending end of the line.
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- Consider a long radial line terminated in its characteristic impedance Zc. Determine the following: (a) V1/I1, known as the driving point impedance. (b) | V2 |/V1|, known as the voltage gain, in terms of al. (c) | I2 |/| I1 |, known as the current gain, in terms of al. (d) The complex power gain, S21/S12, in terms of al. (e) The real power efficiency, (P21/P12)=, terms of al. Note: 1 refers to sending end and 2 refers to receiving end. (S21) is the complex power received at 2; S12 is sent from 1.A small manufacturing plant is located 2 km down a transmission line, which has a series reactance of 0.5/km. The line resistance is negligible. The line voltage at the plant is 4800V(rms). and the plant consumes 120kW at 0.85 power factor lagging. Determine the voltage and power factor at the sending end of the transmission line by using (a) a complex power approach and (b) a circuit analysis approach.A single-phase overhead transmission line consists of two solid aluminum conductors having a radius of 3 cm with a spacing 3.5 m between centers. (a) Determine the total line inductance in mH/m. (b) Given the operating frequency to be 60 Hz, find the total inductive reactance of the line in /km and in/mi. (c) If the spacing is doubled to 7 m, how does the reactance change?
- A 50ohm transmission line powered by a 3GHz source and terminated with a load impedance ZL=25-j60 ohms will be matched with the shorted parallel side. What should be the length, in m, of the parallel lateral line calculated using the Smith diagram ?Question-2) The parameters of a three-phase transmission line are given as Z = (12.84 + j72, 76)Ω and y = j5, 83x10^-4 mho. At the end of the line, a power of 55 MVA with a power factor of 0.8 is drawn under 132 kV voltage. Accordingly, calculate the line head voltage, active and reactive power values per line, and voltage regulation of the line using the nominal π circuit.7-) Since 55 MVA power is drawn from the end of the line under the conditions mentioned above, calculate the line head voltage (phase-phase voltage) and enter it in the box below. (The value will be entered in kiloVolts. Only the amplitude value of the voltage will be entered. The phase value will NOT be entered!!! Two digits after the comma will be sufficient. )8-) Since 55 MVA power is drawn from the end of the line under the conditions mentioned above, calculate the active power value per line and enter it in the box below. (The value will be entered in MegaWatt. It will be sufficient to take two digits after…A 230-kV, three-phase transmission line has a per phase series impedance of z = 0.05+j0.45 Ω per Km and a per phase shunt admittance of y = j3.410-6 siemens per km. The line is 80 km long. Using the nominal π model, determine(a) The transmission line ABCD constants. Find the sending end voltage andcurrent, voltage regulation, the sending end power and the transmissionefficiencywhen the line delivers(b) 200 MVA, 0.8 lagging power factor at 220 kV.(c) 306 MW, unity power factor at 220 kV.
- In three-phase short transmission line with end-of-line interphase voltage UR = 31,5kV , from the end of the line active power absorbed PR = 9000 kW, end of line power factor is cosφ = 0,70 (end) and the length of the line is l = 20km, The resistance of the line per km is R'= 0,125 Ohm/km, the reactance per km is X'= 0,375 Ohm/km.With the help of given information; a) Calculate the current drawn from the line (IR) as a phasor. b) Calculate the line-to-line-neutral voltage (VS) as a phasor, determine the effective line-to-line voltage (US) Calculate its value. c) Calculate the line head power factor, active and reactive power drawn from the line head, d) Draw the phasor diagram of the system. ..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.(Q) A 10 mile transmission line with an impedance of (0.122+j0.849) Ω per mile is delivering 230A at 230kV and 0.8 power factor lagging. Determine: the sending end voltage the line efficiency and regulation
- A 40-km, 220-kV, 60-Hz three-phase overhead transmission line has a per-phase resistanceof 0.15 W/km, a per-phase inductance of 1.3263 mH/km, and negligible shunt capacitance.Using the short line model, find the ABCD parameters. The sending-end voltage, voltageregulation, sending-end power, and transmission line efficiency when the line is supplyinga three-phase load of: (a) 381 MVA at 0.8 power factor lagging and at 220 kV, (b) 381MVAat 0.8 power factor leading and at 220 kV. How does the load type (capacitive or inductive)affect the sending voltage magnitude, voltage regulation and efficiency?Solve this math : A three-phase 60-hz transmission line has its conductors arranged in a triangular formation so that two of the distances between conductors are 20ft and the third is 40 ft. The conductors are ACSR Rook. Determine the capacitance to neutral in microfarads per mile and the capacitive reactance to neutral in ohm-miles. If the line is 115 mi long, find the capacitance to neutral and capacitive reactance of the line. Note: In the below i have added similer type of math and its ans.In the above math, there is just changes of values and Main Change is ACSR ROOK which is given to then question and in the below question which is solved it was ask ACSR Parakeet. So notice that. Follow This Book for help"POWER SYSTEM ANALYSISAND DESIGN;FIFTH EDITION, SI;J. DUNCAN GLOVER" Now solve the math according to the given way solve the math. "A three-phase 60-hz transmission line has its conductors arranged in a triangular formation so that two of the distances between conductors are 25…A 60 Hz, three-phase transmission line is 100 miles long. It has a total seriesimpedance of {35 + j120) n and a shunt admittance of j930 μsiemen. It delivers40 MW at 220 kV with 90% lagging power factor. Find the voltage at the sendingend by:(a) short line approximation(b) the nominal rr approximation(c) the nominal T approximationAlso determine the voltage regulation for the given line and the power loss.Assume the sending end voltage remains constant. Expected Answer: (a) 237.67 kV, 1.4284 MW, 8.03%; (b) 225.8 kV, 1.1642 MW, 8.67% (c) 225.10 kV, 1.5095 MW, 8.35% Pls. Provide Full Solution for thumbs up