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Three identical impedances
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Chapter 2 Solutions
POWER SYS. ANALYSIS+DESIGN
- A 3-phase, 50-Hz overhead transmission line 100 km long has the following constants : Resistance/km/phase = 0.1 Ω Inductive reactance/km/phase = 0·2 Ω Capacitive susceptance/km/phase = 0·04 × 10− 4 siemens Determine sending end voltage when supplying a balanced load of 10,000 kW at 66 kV, p.f. 0·8 lagging. Use nominal T method . Select one: a. 330 kV b. 52 kV c. None of the above d. 69.5 kVarrow_forwardA 3-phase, 50 Hz, overhead transmission line delivers 10 MW at 0·8 p.f. lagging and at 66 kV. The resistance and inductive reactance of the line per phase are 10 Ω and 20 Ω respectively while capacitance admittance is 4 × 10− 4 siemen. Calculate :(i) the sending end current (ii) sending end voltage (line-to-line)(iii) sending end power factor (iv) transmission efficiencyUse nominal T method.arrow_forwardA 3-phase, 50 Hz, overhead transmission line delivers 10 MW at 0·8 p.f. lagging and at 66 kV. The resistance and inductive reactance of the line per phase are 10 Ω and 20 Ω respectively while capacitance admittance is 4 × 10− 4 siemen. Calculate : (i) the sending end current (ii) sending end voltage (line-to-line) (iii) Power angle and sending end pf (iv) transmission efficiency Use nominal T methodarrow_forward
- A 3-phase, 50 Hz overhead transmission line, 100 km long, 110 kV between the lines at the receiving end has the following constants : Resistance per km per phase = 0·153 Ω Inductance per km per phase = 1·21 mH Capacitance per km per phase = 0·00958 μF The line supplies a load of 20,000 kW at 0·9 power factor lagging. Calculate using nominal π representation, the sending end voltage, current, power factor, regulation and the efficiency of the linearrow_forwardQ5. A single phase overhead transmission line has a supply voltage of 34 kV and a sending end current of magnitude 40 A at 0-8 p.f. lagging is feeding a certain load. The total resistance and inductance of the line are 5 and 21 mH respectively. Draw the practical circuit used and the devices necessary to perform this experiment. Then calculate the sending end power, receiving end current, voltage, power factor, receiving end power and line efficiency Vs 34000 Is 40 Cosos 0.8 R 5 Ps Ir Vr Cosor Pr n 21e-3arrow_forwardA 3-phase, 50 Hz, 40 km long overhead line supplies 1800 kW at 11 kV, 0.8 p.f. lagging. The line resistance is 0.045 Ω per phase per km and line inductance is 0.5 mH per phase per km. Calculate the sending end voltage, voltage regulation and efficiency of transmission.arrow_forward
- A 3-phase, 50 Hz, 25 km long overhead line supplies 550 kW at 11 kV, 0.6 p.f. lagging. The line resistance is 5.5 Ω per phase and line inductance is 10 mH per phase. Calculate the Reactance of the Line, Current flowing through the transmission line, Sending end voltage, Voltage regulation and Efficiency of transmission.arrow_forwardA 3 phase, 60 hz, 138 kv transmission line is 250 miles long and delivers power to a 50 mw load at 132 kv and at 0.92 lagging power factor. The line resistance is 0.175 ohm/mile, the line inductance is 0.302mH/mile and the line capacitance is 0.0245 uf/mile. Calculate sending end voltagearrow_forwardA 3-phase, 50 Hz overhead transmission line, 100 km long, 110 kV between the lines at the receiving end has the following constants :Resistance per km per phase = 0·153 ΩInductance per km per phase = 1·21 mHCapacitance per km per phase = 0·00958 μFThe line supplies a load of 20,000 kW at 0·9 power factor lagging. Calculate using nominal π representation, the sending end voltage, current, power factor, regulation and the efficiency of the line. Neglect leakagearrow_forward
- A short 230 kV transmission line with a reactance of 18 ph supplies a load at 0.85 pf. lag. For a line current of 1000 A, the receiving and sending end voltages are to be maintained at 230 kV. Calculate: (i) rating of synchronous capacitor required (ii) load current (iii) load MVA. Neglect power drawn by capacitor.arrow_forwardA (medium) single phase transmission line 100 km long has the following constants : Resistance/km = 0·25 Ω ; Reactance/km = 0·8 Ω Susceptance/km = 14 × 10−6 siemens ; Receiving end line voltage = 66,000 V The line is delivering 15 000 kW at 0 8 power factor lagging. Assuming that the total capacitance of the line is localised at the receiving end alone, determine the sending end current Select one: a. 50 A b. 320 A c. 240 A d. None of The abovearrow_forwardA three-phase, 50 Hz transmission line, 100 km long delivers 25 MW at 132 kV and a 0.85 p.f. lagging. The resistance and reactance of the lines per phase per kilometer are 0.3 Ω and 0.5 Ω respectively, while capacitive admittance is 2.5 × 10-6 mho/km/ph. Calculate: i. Sending end voltage. ii. Current through the line.arrow_forward
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