A short single phase transmission line consists of two sections AB and BC. AB is 18km in length and has an impedance of 0.5<70O Ω/km. BC is 7km in length and has an impedance of 0.3<65O Ω/km. The receiving end voltage at bus-bar C is 3.5kV and is connected to a 200kW load at 0.8 power factor lagging. Calculate the sending end voltage. What is the voltage regulation?

A short single phase transmission line consists of two sections AB and BC. AB is 18km in length and has an impedance of 0.5<70O Ω/km. BC is 7km in length and has an impedance of 0.3<65O Ω/km. The receiving end voltage at bus-bar C is 3.5kV and is connected to a 200kW load at 0.8 power factor lagging. Calculate the sending end voltage. What is the voltage regulation?

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 5.25P

See similar textbooks

Similar questions

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 30-km, 34.5-kV, 60-Hz, three-phase line has a positive-sequence series impedance z=0.19+j0.34/km. The load at the receiving end absorbs 10 MVA at 33 kV. Assuming a short line, calculate: (a) the ABCD parameters, (b) the sending-end voltage for a load power factor of 0.9 lagging, and (c) the sending-end voltage for a load power factor of 0.9 leading.
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.
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.
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 three phase 220KV, 50Hz transmission line supplies a power of 100MW at a power factor of 0.8 lag at the receiving end. The Series resistance, reactance, and shunt susceptance per phase per Km are 0.082, 0.8 2, and 6 x 10-6mho respectively. Determine the efficiency and regulation for transmission line lengths of 60Km and 200Km (use π)
A 69-kV, three phase short transmission line is 16km long. The line has a per phase series impedance of 0.125 + j0.4375 ohms per km. Determine the sending end voltage, voltage regulation, the sending end power, and the transmission efficiency when the line delivers:(a) 70 MVA, 0.8 lagging power factor at 64 kV.(b) 120 MW, unity power factor at 64kV.
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?
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.
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 = j3.410-6 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.
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…
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. ..