A three-phase 60-Hz transmission line is energized with 420 kV at the sending end. This line...

A three-phase 60-Hz transmission line is energized with 420 kV at the sending end. This line is lossless and 400 km long with ? = 0.001265 rad/km and ?? = 260 Ω. a) Suppose a three-phase short-circuit occurs at the receiving end. Determine the receiving end current and the sending end current. b) Determine the reactance and MVar of a shunt reactor to be installed at the load bus to limit the no-load receiving-end voltage to 440 kV. c) When the line delivers 800 MVA at 0.8 lagging power factor, a shunt capacitor bank is installed at the receiving end to improve the line performance. Determine the total Mvar and the capacitance of the Δ-connected capacitor bank to keep the receiving-end voltage at 400 kV when the sending-end voltage is 420 kV.

Solutions

Expert Solution

Solution:

According to given data –
Length of transmission line is 400km and freq is 60hz .So this is the long transmission line.
In long transmission line distributive effect is more so we can’t convert into the lamped network.
That’s why we use wave equation to analysis long transmission line.
I solved this problem in very detail. I hope its usefull.

#Could you please leave a THUMBS UP for my work...

Colby Messinger answered 11 months ago

Next > < Previous

Related Solutions

A 35 km, 34.5-kV, 60-Hz three phase line has a positive-sequence series impedance z = 0.10...

A 35 km, 34.5-kV, 60-Hz three phase line has a positive-sequence series impedance z = 0.10 + j0.40 Ohms/km. The load at the receiving end absorbs 15 MVA at 33 kV. Assuming a short line, calculate: (a) the ABCD parameters, (b) the sending-end voltage for a load power factor of 0.95 lagging, (c) the sending-end voltage for the a load power factor of 0.9 leading. (d) For which case is the sending-end voltage higher?

345 kV, 50 Hz, 3-phase transmission line is 100 km long. The resistance is 0.048 Ω/km...

345 kV, 50 Hz, 3-phase transmission line is 100 km long. The resistance is 0.048 Ω/km and the inductance is 1,24 mH/km. The shunt capacitance is 0.0174 μF/km. The receiving end load is 216 MW with 0.8 power factor lagging at 325 kV. (a) Compute ABCD parameters using π equivalent circuit (b) Sending end voltage VS, (c) Sending end current IS, (d) Efficiency

A 60-Hz, 230-km, three phase overhead transmission line has a series impedance z = 0.85<78.04 ̊...

A 60-Hz, 230-km, three phase overhead transmission line has a series impedance z = 0.85<78.04 ̊ /km and a shunt admittance y = 5.105 x 10-6 < 90 ̊ S/km. The load at the receiving end is 135 MW at unity power factor and 215 kV. Determine the voltage, current, real and reactive power at the sending end and the percent voltage regulation of the line.

A 3-phase 60 HZ , 200km transmission line has a series impedance of z= 0.10 +...

A 3-phase 60 HZ , 200km transmission line has a series impedance of z= 0.10 + j0.35 Ω/km and a capacitive reactance of 0.2 x 10 6 Ω-km. At the receiving end, the line delivers 250 MW @230/30θ kV and 0.95 lagging power factor. Determine a) The line impedance and shunt admittance b) The A, B, C , D parameters c) Sending end complex power and power factor d) Is the PF is leading or lagging e) Voltage regulation for...

Diesel Generator A I MVA diesel three-phase generator is rated at 4.16 kV, 60 Hz, and...

Diesel Generator A I MVA diesel three-phase generator is rated at 4.16 kV, 60 Hz, and connected as Y its neutral is kept floating. It is directly tied to three loads, one consuming 50% of its capacity, and each of the other two consuming 25% of its capacity. A three-phase to ground fault could occur at any of the loads. Draw a one-line diagram of this system, then describe what type of faults could occur in the generator and diesel...

A three-phase motor is delta connected to a 415 V, 60 Hz line. If the line...

A three-phase motor is delta connected to a 415 V, 60 Hz line. If the line current is 25 A and the motor power factor is 0.75, how much power is consumed by the motor (a) Determine the size of the bank of three capacitors to improve the power factor of the motor to 0.95. The capacitors are delta connected. (b) If two of the motors work together, what is the size of capacitors to correct the power factor to...

A 3-Phase, 60 HZ transmission line has the following parameters: L= 2.563 x 10^(-3) H/mi R=...

A 3-Phase, 60 HZ transmission line has the following parameters: L= 2.563 x 10^(-3) H/mi R= 0.25 Ohms/mi Y= 5 x 10^(3) S/mi The line is 200 mi long and it delivers 150 MW at 220 kV and unity power factor to a substation at its receiving end. Find the efficiency and voltage regulation of the transmission line.

A balanced positive-sequence wye-connected 60-Hz three-phase source has line-to-line voltages of VL = 440 V rms....

A balanced positive-sequence wye-connected 60-Hz three-phase source has line-to-line voltages of VL = 440 V rms. This source is connected to a balanced wye-connected load. Each phase of the load consists of a 0.5-H inductance in series with a 50-? resistance. Assume that the phase of Van is zero. A) Find the line-to-neutral voltage phasor Van. Enter your answer using polar notation. Express argument in degrees. B) Find the line-to-neutral voltage phasor Vbn. Enter your answer using polar notation. Express...

A 1000MVA, 20kV, 60 Hz three phase generator is connected to an infinite bus through a...

A 1000MVA, 20kV, 60 Hz three phase generator is connected to an infinite bus through a 1000MVA, 20kV? / 345kVY transformer to a 345kV circuit breaker and a 345kV transmission line. The generator reactances are X``d=0.17, X`d=0.30, and Xd=1.5 per unit on a 1000MVA, 20kV base. Generator time constants are T``d=0.05 seconds, T`d=1.0 seconds, and TA=0.10 seconds. The transformer series reactance is 0.10 per unit on the transformer ratings as a base. Neglect transformer losses, excitation current, and transformer time...

A three phase synchronous motor is Y-connected with the following values: 2.3 kV, 400 hp, 60...

A three phase synchronous motor is Y-connected with the following values: 2.3 kV, 400 hp, 60 Hz, 8 poles with a rated pf of 0.85 leading. It is 90% efficient at full load with an armature resistance of 0.80 Ohms and synchronous reactance of 11 Ohms. At full load calculate the output torque, and internal generated voltage (EA)

Subjects