A single-phase 12.47 KV transmission line several kilometers long feeds a load from a substation. The line has a resistance of 2 Ω and a reactance of 20 Ω. Instruments at the substation indicate that the active and reactive power inputs to the line are 4 MW and 3 Mvar, respectively. Calculate a. The line current b. The power factor at the substation c. The active power absorbed by the load d. The reactive power absorbed by the load e. The line voltage at the load

A single-phase 12.47 KV transmission line several kilometers long feeds a load from a substation. The line has a resistance of 2 Ω and a reactance of 20 Ω. Instruments at the substation indicate that the active and reactive power inputs to the line are 4 MW and 3 Mvar, respectively. Calculate a. The line current b. The power factor at the substation c. The active power absorbed by the load d. The reactive power absorbed by the load e. The line voltage at the load

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

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.52P: A balanced three-phase load is connected to a 4.16-kV, three-phase, fourwire, grounded-wye dedicated...

See similar textbooks

Similar questions

A 230 kV transmission line has an impedance of 50 cis 78 ohms and a capacitive reactance of 1,200 ohms. It transmits the power of a base load plant. On a certain dry season, the sending end power is 150 MW at a 235 kV and 90% power factor continuously for a period of one month. If the cost of generation is 1.30 pesos per kw-hr, what is the cost of the line losses for the one-month period?
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…
470 kVA load at 12 kV. Its resistance is 7 Ω and inductive reactance is 7 Ω if the load power factor is 0.9 lagging. Determine the Current through the line , Sending end voltage , Sending end power factor , Regulation of transmission line , Efficiency of transmission line Note:please do not handwriting
Consider a simple power system: two generators (20MVA each at 13.2kV) running in parallel via a combined generator step-up transformer (rated at 30/33.3/36.7 MVA: ONAN/ONAF/ONAF cooling, 13.2 (Delta)/115 (Solidly Grounded Wye) kV). The sub-transmission line is 10.0mi long and rated at 115kV. Estimate (write the assumptions) the 3-phase bolted fault current at the end of the 115kV line.
A balanced three-phase load is connected to a 4.16-kV, three-phase, fourwire, grounded-wye dedicated distribution feeder. The load can be mode led by an impedance of ZL=(4.7+j9)/phase, wye-connected. The impedance of the phase conductors is (0.3+j1). Determine the following by using the phase A to neutral voltage as a reference and assume positive phase sequence: (a) Line currents for phases A, B, and C. (b) Line-to-neutral voltages for all three phases at the load. (c) Apparent. active, and reactive power dissipated per phase, and for all three phases in the load. (d) Active power losses per phase and for all three phases in the phase conductors.
A Y-connected load bank with a three-phase rating of 500 kVA and 2300 V consists of three identical resistors of 10.58. The load bank has the following applied voltages: Vab=184082.8,Vbc=276041.4, and Vca=2300180V. Determine the symmetrical components of (a) the line-to-line voltages Vab0,Vab1, and Vab2, (b) the line-to-neutral voltages and Van0,Van1, and Van2, (c) and the line currents Ia0,Ia1, and Ia2. (Note that the absence of a neutral connection means that zero-sequence currents are not present.)
a) Discus why the transmission systems are mostly overhead systems. b) Discuss why all overhead lines use ACSR conductors. c) Discuss why at 400 kV and above the transmission lines have bundled conductors. d) How do the various devices protect the penstock? e) Discuss why the transmission lines are 3 phase 3 wire circuits while secondary distribution lines are 3 phase 4 wire circuits. f) At which places the diesel power stations are finding favor? Why? g) How do voids in the insulation cause breakdown of the cable? h) What is the function of condenser in steam power plant?
a 12500kva load is supplied at a power facter of 0.8 lagging by a 3 phase transmissiom line whose voltage is to be maintained at 33kv at both ends. Determine the capacity of the synchronous condenser to be installed given that the line resistance and reactance per phase are 5 ohms and 13 ohms respectively
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
50 km of single-phase transmission line, 800 kVA power 8 kV, is carried with 0.9 reverse power factor. The resistance of one kilometer of the line is 42 mΩ, and the reactance of one kilometer of the line is 0.646 Ω. Find the voltage at the beginning of the line and the efficiency of the line accordingly.
A short 3-phase transmission line connected to a 33kV, 50 Hz generatingstation at the sending end is required to supply a load of 10 MW at 0·8lagging power factor at 30 kV at the receiving end. If the minimumtransmission efficiency is to be limited to 96%, estimate the per phasevalue of resistance and inductance of the line.
A generator-transformer unit is connected to a line through a circuit breaker. The unit ratings are: Generator: 10 MVA, 6.6 kV; , and Transformer: 10MVA, 6.9133kV, reactance0.08pu The system is operating no load at a line voltage of 30 kV, when a three phase fault occurs on the line just beyond the circuit breaker' Find (a) the initial symmetrical rms current in the breaker’(b) The maximum possible DC off-set current in the breaker, (c) The momentary current rating of the breaker’ (d) The current to be interrupted by the breaker and the interrupting kVA and (e) The sustained short circuit current in the breaker