1. A-345-kV, three phase transmission line is 180 km long. The series impedance is z = 0.04 +j0.42 per phase per km, and the shunt admittance is y=j5 x 10-6 siemens per phase per km. The sending end voltage is 345 kV, and the sending end current 400A at 0.95 power factor lagging. Consider the sending end phase voltage as reference and find, a) The ABCD parameters of the line b) Efficiency of transmission c) The voltage regulation of the line Assume a л-model for the medium length line.
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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.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.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.
- 2. A 200-km, 230-kV, 60-Hz three-phase line has a positive-sequence series impedance z = 0.07 + j0.58 ohms/km and a positive-sequence shunt admittance y = j4.33 x 10^-6 S/ km. At full load, the line delivers 350 MW at 0.95 pf lagging and at 220 kV. Using the nominal pi circuit, calculate: (a) the ABCD parameters (b) the sending-end voltage and current, and (c) the percent voltage regulation.Question 1. The impedance of a 150 km long transmission line is ? = 0.06 + ?0.48 ?/??, and the shunt admittance value is given as ? = ?3.33?10−6 ?/??. Under 250 kV voltage at the end of the line A power of 250 MW is drawn with a reverse power factor cos ? = 0.95. Nominal π equivalent using the circuit; a) Find the ABCD parameters. b) Find the voltage, current and power factor per line.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 = j3.410-6 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.
- Solve this math : A 210-km, 192-KV, 60 Hz three-phase line has a positive-sequence series impedance z= 0.06+j0.4 Ω/km and a positive-sequence shunt admittance y= j4.33 X 10-6 S/km. At full load, the line delivers 200 MW at 0.92 p.f. lagging and at 185 KV. Using the nominal π circuit, calculate: (a) the ABCD parameters, (b) the sending end voltage and current, and(c) the percent of voltage regulation. Also explain, in which case the voltage regulation would be negative and why. Note: In the below i have added similer type of math and its ans.In the above math, there is just changes of values. Now solve the math according to the given way solve the math. A 200-km, 230-KV, 60 Hz three-phase line has a positive-sequence series impedance z= 0.08+j0.48 Ω/km and a positive-sequence shunt admittance y= j3.33 X 10-6 S/km. At full load, the line delivers 250 MW at 0.99 p.f. lagging and at 220 KV. Using the nominal π circuit, calculate: (a) the ABCD parameters, (b) the sending-end voltage and…A 230 kV, three-phase transmission line has a per phase series impedance of z = (0. 05 + j0.45) ΩΩ per Km and a per phase shunt admittance of y = j(3.4×10−6×10−6) siemens per km. The line is 80 km long. Using the nominal ππ model, determine(a) The transmission line ABCD constants. Find the sending end voltage and current, voltage regulation, the sending end power and the transmission efficiency when the line delivers(b) 200 MVA, 0.8 lagging power factor at 220 kV.(c) 306 MW, unity power factor at 220 kV.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 three phase 50 Hz transmission line has impedance of (25.3+ j66.5) ohms and a shunt admittance of 4.42 x 104 mho per phase. If it delivers a load of 50 MW at 220 kV at 0.8 power factor lagging, determine the sending end voltage (a) by short line approximation (b) nominal II method (c) exact transmission line equations.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 3-phase overhead transmission line has a total series impedance per phase of 200 ∠80º ohms and a total shunt admittance of 0·0013∠90º 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 method.