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A single-phase source is applied to a two-terminal, passive circuit with equivalent impedance
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Chapter 2 Solutions
POWER SYS. ANALYSIS+DESIGN
- A three-phase, Y-connected synchronous generater supplies current of 10 A having phase angle of 20º lagging at 400 V. Find the load angle if Xs = 10 ohms per phase. Assume Rs to be negligible. Also, calculate the total generated real and reactive power.arrow_forwardA 3-phase, 50 Hz overhead transmission line has the following constants :Resistance/phase = 9·6 Ω Inductance/phase = 0·097 mH Capacitance/phase = 0·765 µFIf the line is supplying a balanced load of 24,000 kVA 0·8 p.f. lagging at 66 kV, calculate :(i) sending end current (ii) line value of sending end voltage(iii) sending end power factor (iv) percentage regulation(v) transmission efficiencyarrow_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_forward
- 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, 20 km long overhead line supplies 1000 kW at 11kV, 0.8 p.f. lagging. The line resistance is 0.03 & per phase per km and line inductance is 0.7 mH per phase per km. Calculate the sending end voltage, voltage regulation and efficiency of transmission.arrow_forwardAn alternating single phase circuit describes the instantaneous values of the applied voltage and the corresponding current as: v = 360 sin (201,69 t + π/6) and i = 36 sin (201,69 t - π/9) Calculate: the impedance, resistance and reactance of the circuit, the r.m.s.-values of the voltage and current, the true-, apparent- and reactive power in the circuit The time taken to reach -190 V for the second time. Sketch the phasor diagram of this circuitarrow_forward
- q22/ A single phase, 50 Hz, overhead transmission line supplies 1300 kW at 26 kV, 0.65 p.f. lagging. The total resistance and line inductive reactance of the line are 4.75 Ω and 7.75 Ω respectively. Calculate the sending end voltage, voltage regulation, sending end power factor and efficiency of transmissionarrow_forwardFind the characteristics of the load at the sending end and the efficiency of a three phase transmission line 160 km long delivering 15 MVA load at 110 kv, 50 Hz and 0.9 power factor (lagging) having inductance 1.356 mH/km per phase, capacitance 0.0085 uF/km per phase and resistance 40 ohms. Use nominal T-method Ans. Is = 70.3 20,8° Amp, Vsa.LD= 117.6 29.2 kV, power factor = 0.9898, n = 95.3%arrow_forwardA transmission line of impedance (0.05 + j0.02) pu interconnects the buses of a switchyard and a bulk supply point. The receiving end apparent power is (1.0 + j0.6) pu and sending end voltage, 1/0°pu. Estimate the following: i) Receiving end voltage after two iterations ii) Perform two further iterations to test the convergence of the value of receiving end voltage deduced in (i) iii) load currentarrow_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, 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_forwardA 50 Hz, 250 V single phase power line has the following loads placed across it in parallel; 4 kW ata pf of 0. 8 lagging; 6 kVA at a pf of 0.6 lagging; 5 kVA which includes 1.2 kVAR leading. Determinethe overall pf of the system and the capacitance of the capacitor which, if connected across themains restore the power factor to unity.arrow_forward
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