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Consider a simple power system consisting of an ideal voltage source, an ideal step-up transformer, a transmission line, an ideal step-down transformer, and a load. The voltage of the source is
The impedance of the transmission line is
- Assume that the transformers are not present in the circuit. What is the load voltage and efficiency of the system?
- Assume that transformer I is a 1:5 step-up transformer, and transformer 2 is a 5:1 step-down transformer. What is the load voltage and efficiency of the system?
- What transformer turns ratio would be required to reduce the transmission line losses to 1% of the total power produced by the generator?
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- A simple power system is shown in this Fig. The generator (480 V, 10 kVA) is connected to an ideal step-up transformer (1:10), a transmission line (R=20 Ohm and X=60 Ohm), step down transformer (20:1) and a load with magnitude Z=10 Ohm and angle =30 degree the base values for this system are chosen to be 480 V and 10 kVA at the generator. Calculate the per-unit current in the line Select one: a. 1.43 A b. 0.569 A c. None of the above d. 2.01arrow_forwardA 72VA, 60Hz single-phase transformer has the equivalent circuit shown. (a) What is the no-load current if excited on the 120V side?(b) Estimate the losses in the transformer at full load with power factor 1.0.(c) Estimate the input voltage required for full load if the output voltage is 36V-rms and the output currentlags the voltage by 25 degrees.(d) What is the voltage regulation?Ans:(b) 4.68W (c)V_p = 123 angle(0.65) V rms (d) 2.5% Show me how each answer was foundarrow_forwardThe parameters of a 1000/250V, 50HZ single phase transformer are: R1=1.3 N, X1=2.8 N, R2=0.11 N, X2=0.2 N, R,=250 N, X,=900 N. If the load voltage is 220V, load power is 10kW, and load power factor is 0.8 lagging. Find by using the exact equivalent circuit: (i) Input current, (ii) The input voltage and power factor, (iii) The magnetizing current, (iv) The copper losses, (v) The voltage regulation.arrow_forward
- A single-phase power system consists of a generator with voltage VG = 480∠0° V that supplies a ideal transformer whose transformation ratio is 1:10. This transformer is connected to another transformer. ideal with a transformation ratio of 10:1 through a transmission line that has an impedance Zline = 0.18 + j0.24 Ω. The secondary of the second transformer is connected to a load value ZL = 4 + j3 Ω. a) Calculate the impedance seen from the generator.b) Calculate the currents IG, IZ, IL.c) Calculate the voltage across the load VL.c) Calculate the real reactive power that the load consumes.d) Calculate the losses in the transmission line.arrow_forwardA network is composed of the utility having Ssc=500MVA, and an 800KVA transformer, rated at 20KV/410V (no load), whose voltage impedance is 5%, and whose load losses are 5400watts. the short circuit at the secondary of the transformer using the impedance method is: Select one: a)30.5KA b)None of these c)45.8KA d)21.83KAarrow_forwardParameters of a 20 kVA, 2200/220 V, 50 Hz distribution transformer, R1 = 5 Ω R2 = 0.04 Ω Rc = 3000 Ω X1 = 15 Ω X2 = 0.14 Ω Xm = 2500 Ω given as. According to this, a) Find the equivalent circuit transferred to the high voltage side. b) When the transformer is operating at its rated load, the load voltage is 220 V and the power factor is 0.8 behind. Via the equivalent circuit you got above, b1) Input current, (I1 =?) b2) Input voltage, (V1 =?) b3) Input power factor, (φ1 =?) b4) Copper and core losses, (Pcu = ?, Pc =?) b5) Efficiency, (η =?)arrow_forward
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