A 3-phase, 60 Hz, 50 km long overhead linesupplies 525 kW at 11 kV, 0.7 p.f. lagging. Theline resistance is 4.5 2 per phase and lineinductance is 15 mH per phase. Calculate theReactance of the Line, Current flowing through thetransmission line, Sending end voltage, Voltageregulation and Efficiency of transmission.Inductive ReactanceCurrent flowing through the transmission lineSending end VoltageVoltage Regulation of Transmission lineTransmission line efficiency A load of 135 MW at a power factor of 0.65 laggingcan be delivered by a 3-phase transmission line.The voltage at the receiving end is to bemaintained at 45 kV and the loss in thetransmission is 8 % of the power delivered.(Consider the line to be a short transmission line)FindSingle phase Power deliveredPer phase voltageCurrent flowing through the transmission line3 Phase Losses in the transmission linePer phase resistance of the transmission line

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A 3-phase, 60 Hz, 50 km long overhead line supplies 525 kW at 11 kV, 0.7 p.f. lagging. The line resistance is 4.5 2 per phase and line inductance is 15 mH per phase. Calculate the Reactance of the Line, Current flowing through the transmission line, Sending end voltage, Voltage regulation and Efficiency of transmission. Inductive Reactance Current flowing through the transmission line Sending end Voltage

A 3-phase, 60 Hz, 50 km long overhead line supplies 525 kW at 11 kV, 0.7 p.f. lagging. The line resistance is 4.5 2 per phase and line inductance is 15 mH per phase. Calculate the Reactance of the Line, Current flowing through the transmission line, Sending end voltage, Voltage regulation and Efficiency of transmission. Inductive Reactance Current flowing through the transmission line Sending end Voltage

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

Chapter5: Transmission Lines: Steady-state Operation

Section: Chapter Questions

Problem 5.11P: A 40-km, 220-kV, 60-Hz, three-phase overhead transmission line has a per-phase resistance of...

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A 40-km, 220-kV, 60-Hz, three-phase overhead transmission line has a per-phase resistance of 0.15/km, a per-phase inductance of 1.3263 mH/km, and negligible shunt capacitance. Using the short line model, find the sending-end voltage, voltage regulation, sending-end power, and transmission line efficiency when the line is supplying a three-phase load of (a) 381 MVA at 0.8 power factor lagging and at 220 kV and (b) 381 MVA at 0.8 power factor leading and at 220 kV.
A 60-Hz, 765-kV, three-phase overhead transmission line has four ACSR 900 kcmil 54/3 conductors per phase. Determine the 60 Hz resistance of this line in ohms per kilometer per phase at 50C.
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 three-phase overhead transmission line is designed to deliver 190.5 M VA at 220 kV over a distance of 63 km, such that the total transmission line loss is not to exceed 2.5 of the rated line MVA. Given the resistivity of the conductor material to be 2.84108-m, determine the required conductor diameter and the conductor size in circular mils. Neglect power losses due to insulator leakage currents and corona.
The 500-kV, 60-Hz, three-phase line in Problems 4.20 and 4.41 has a 180-km length and delivers 1600 M W at 475 kv and at 0.95 power factor leading to the receiving end at full load. Using the nominal circuit, calculate the (a) ABCD parameters, (b) sending-end voltage and current, (c) sending-end power and power factor, (d) full-load line losses and efficiency, and (e) percent voltage regulation. Assume a 50C. conductor temperature to determine the resistance of this line.
Three ACSR Drake conductors are used for a three-phase overhead transmission line operating at 60 Hz. The conductor configuration is in the form of an isosceles triangle with sides of 20, 20, and 38 ft. (a) Find the capacitance-to-neutral and capacitive reactance-to-neutral for each 1-mile length of line. (b) For a line length of 175 mi and a normal operating voltage of 220 kV, determine the capacitive reactance-to-neutral for the entire line length as well as the charging current per mile and total three-phase reactive power supplied by the line capacitance.
If the per-phase line loss in a 70-km-long transmission line is not to exceed 65 kW while it is delivering 100 A per phase, compute the required conductor diameter if the resistivity of the conductor material is 1.72108-m.
Calculate the capacitance-to-neutral in F/m and the admittance-to-neutral in S/km for the three-phase line in Problem 4.18. Also calculate the line-charging current in kA/phase if the line is 110 km in length and is operated at 230 kV. Neglect the effect of the earth plane.
A 60-Hz, single-phase two-wire overhead line has solid cylindrical copper conductors with a 1.5 cm diameter. The conductors are arranged in a horizontal configuration with 0.5 m spacing. Calculate in mH/km (a) the inductance of each conductor due to internal flux linkages only, (b) the inductance of each conductor due to both internal and external flux linkages, and (c) the total inductance of the line.
Figure 4.34 shows double-circuit conductors' relative positions in segment I of transposition of a completely transposed three-phase overhead transmission line. The inductance is given by L=2107lnGMDGMRH/m/phase Where GMD=(DABeqDBCeqDACeq)1/3 With mean distances defined by equivalent spacings DABeq=(D12D12D12D12)1/4DBCeq=(D23D23D23D13)1/4DACeq=(D13D13D13)1/4 And GMR=[ (GMR)A(GMR)B(GMR)C ]1/3 with phase GMRs defined by (GMR)A=[ rD11 ]1/2;(GMR)B=[ rD22 ]1/2;(GMR)C=[ rD33 ]1/2 and r is the GMR of phase conductors. Now consider a 345-kV, three-phase, double-circuit line with phase-conductors GMR of 0.0588 ft and the horizontal conductor configuration shown in Figure 4.35. Determine the inductance per meter per phase in Henries (H). Calculate the inductance of just one circuit and then divide by 2 to obtain the inductance of the double circuit.
A 200-km, 230-kV, 60-Hz, three-phase line has a positive-sequence series impedance z=0.08+j0.48/km and a positive-sequence shunt admittance y=j3.33106S/km. At full load, the line delivers 250 MW at 0.99 p.f. lagging and at 220 k V. Using the nominal circuit, calculate: (a) the ABCD parameters, (b) the sending-end voltage and current, and (c) the percent voltage regulation.
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. ..