TUTORIAL PROBLEMS 1. A 3-phase overhead transmission line has a total series impedance per phase of 200 280° ohms and a total shunt admittance of 0-0013290° siemen per phase. The line delivers a load of 80 MW at 0-8 p.f. lagging and 220 kV between the lines. Determine the sending end line voltage and current by rigorous mathod

TUTORIAL PROBLEMS 1. A 3-phase overhead transmission line has a total series impedance per phase of 200 280° ohms and a total shunt admittance of 0-0013290° siemen per phase. The line delivers a load of 80 MW at 0-8 p.f. lagging and 220 kV between the lines. Determine the sending end line voltage and current by rigorous mathod

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 5.41P

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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.
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.
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.
The 100-km, 230-kV, 60-Hz, three-phase line in Problems 4.18 and 4.39 delivers 300 M VA at 218 kv to the receiving end at full load. Using the nominal circuit, calculate the ABCD parameters, sending-end voltage, and percent voltage regulation when the receiving-end power factor is (a) 0.9 lagging, (b) unity, and (c) 0.9 leading. Assume a 50C conductor temperature to determine the resistance of this line.
The 500-kV, 60-Hz, three-phase line in Problems 4.20 and 4.41 has a 300-km length. Calculate: (a) Zc, (b) (l), and (c) the exact ABCD parameters for this line. Assume a 50C conductor temperature.
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.
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.
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 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 3-phase overhead transmission line delivers a load of 80 MW at0.8 p.f. lagging and 220 kV between the lines. Its total seriesimpedance per phase and total shunt admittance per phase are 200ohms with an angle of 80 degrees and 0.0013 mho with an angle of90 degrees per phase respectively. Using nominal-T method,determine the following:(i) A, B, C, D constants of the line(ii) Sending end voltage(iii) Sending end current(iv) Sending end power factor(v) Transmission efficiency of the line
A single circuit 60 Hz transmission line. the conductors are Linnet type with flat horizontal spacing of 17.46 feet between conductors. Determine: (a) Assume that the line is short with a length of 50 miles, calculate the parameters of the line and draw the equivalent circuit. (b) Assume that the line is average with length of 150 miles (Pi-nominal model). draw the pi-nominal circuit for the transmission line and calculate its parameters (Z and Y/2 values, where Z is the series impedance of the transmission line and Y is the shunt admittance).
b) Ghana Grid Company (GRIDCo) designed a short transmission line using the A, B, C, D line constant of a transmission line parameters in its analysis. The engineering planning department came up with the design and said that when they computed the line performance using the equation AD – BC the answer was equal to 1.As an employee at the Ministry of Energy (MoEn) having oversight responsibility over GRIDCo, how would you accept the answer and recommend the Government of Ghana (GoG) to go ahead to implement the short transmission line?