sider the below circuit with Vs (t) = 220 cos (100t) Vrms, R=2000, L=0.2H. d: 1. The Complex, 2. The Average, 3. The Reactive, 4. And apparent power absorbed by the load. Load v(t) R
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- A ower system is operating at 1000Mw, 132kV, 50Hz, with 0.8 p.f. laging in parallelwith another line at 750OMW, 132kV, 50Hz with 0.707 p.f. lagging. Both are interconnectedat the station and when the compensating device is on, the overall power factor isimproved to 0.9 lagging. Suggest suitable capacitors, shunt and series. Individual loadsand combined load are to improve power factor to 0.9 in all cases.A Δ-connected, 60−Hz, balanced, 3ϕ, positive-sequence voltage source is connected to a Δ-connected, symmetric 3ϕ load via a non-ideal transmission line. The line-line voltage magnitude of the source is 480VRMS. The series impedance of each phase of the transmission line is 0.1+j1.5Ω. The impedance of each leg of the load is 3+j6Ω. a. What is the total, 3ϕ complex power consumed by the load. b. What are the total active power losses (all three phases) in the transmission line?A 34.5 kV station has a short circuit impedance of at givenpoint of 0.21 pu based on 100 MVA. Determine theinterrupting capacity of the circuit breaker needed.
- A 550-V feeder line supplies an industrial plant consisting of a motor drawing 60 kW at 0.75 pf (inductive), a capacitor with a rating of 20 kVAR, and lighting drawing 10 kW. (a) Calculate the total reactive power and apparent power absorbed by the plant. (b) Determine the overall pf. (c) Find the current in the feeder line.The sending-end voltage in the circuit seen is adjusted so that the load voltage is always 13,800 V(rms). The variable capacitor is adjusted until the average power dissipated in the line resistance is minimum. 1. a) If the frequency of the sinusoidal source is 60 Hz, what is thevalue of the capacitance in microfarads?2. b) If the capacitor is removed from the circuit, what percentageincrease in the magnitude of Vs is necessary to maintain 13,800V(rms) at the load?3. c) If the capacitor is removed from the circuit, what is thepercentage increase in line loss?An industrial load of200KW has a powerfactor of 0.5 lagging. Agroup of synchronousmotors operating at apower factor of 0.8leading is installed andthe over-all power factorimproves to 0.75 lagging.Determine the KVArating of the synchronousmotors installed.Answer = 130.2354 KVA
- Circuit elements with an inductance of 200 mH, a capacity of 50 μF and a resistance of 10 Ω are connected in parallel. If the average value of 198 V sinusoidal AC voltage is applied to this system, find the line current, impedance and phase angle of the circuit. (Take the frequency as 60 Hz.)A 3 phase 170KV, 50 HZ transmission system is 170km long. The resistance is 0.5Ω/km/phase, inductance of 1mH/km/phase and capacitance of 2nano farad/km/phase. The line delivers 60MW and 93MVAR at 170KV line to line voltage. Using suitable mode determine sending and receiving end currents. What can you infer from the result?Two buses are interconnected by a transmission line of impedance (0.03 + j0.012) pu. The voltage on one bus is 1/0°, and the load on the other bus is (1 + j0.4) pu. Determine the voltage on the second bus. Also calculate the real and reactive power on the first bus.
- 2. Solve the following problem: A THREE-PHASE PLANT CONSUMES 600 KVA, WITH A VOLTAGE OF 2400 VOLTS AND A POWER FACTOR OF 0.8 BEHIND. a) DETERMINE THE EQUIVALENT DELTA IMPEDANCE OF THE PLANT. b) IF THE PLANT WERE A STAR, CALCULATE THE RESISTANCE, REACTANCE AND THE CORRESPONDING PASSIVE ELEMENT.A 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 currentThe sample large power system network data's are given below, The total number of buses is 5 Three-phase short circuit fault subjected at the bus 5 The initial voltage of the faulted bus is 1.0 p.u The Zbus matrix element Z55 is 0.774 p.u Fault impedance Zf= 0.39 p.u