4) The open circuit and short circuit tests of a transformer shows 145 W and 125 W respectively. The primary voltage is 380 V when it has a current of 35 A and a power factor of 0,8. Find the full load efficiency and also the efficiency under 60 % and 30 % load conditions. Discuss the relevance of your answers. ( 97,53 %, 97,11 %, 95,33 %)
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- The transformer of Problem 3.16 is supplying a rated load of 50 kVA at a rated secondary voltage of 240 V and at 0.8 posr factor lagging. Neglect the transformer exciting current. (a) Determine the input terminal voltage of the transformer on the high-voltage side. (b) Sketch the corresponding phasor diagram. (c) If the transformer is used as a step-down transformer at the load end of a feeder whose impedance is 0.5+j2.0, find the voltage VS and the power factor at the sending end of the feeder.Consider an ideal transformer with N1=3000andN2=1000 turns. Let winding 1 be connected to a source whose voltage is e1(t)=100(1| t |)volts for 1t1ande1(t)=0 for | t |1 second. A2- farad capacitor is connected across winding 2. Sketch e1(t),e2(t),i1(t),andi2(t) versus time t.Consider Figure 3.25 of the text for a transformer with off-nominal turns ratio. (i) The per-unit equivalent circuit shown in part (c) contains an ideal transformer which cannot be accommodated by some computer programs. (a) True (b) False (ii) In the - circuit representation for real c in part (d), the admittance parameters Y11 and Y12 would be unequal. (a) True (b) False (iii) For complex c, can the admittance parameters be synthesized with a passive RLC circuit? (a) Yes (b) No
- A two-winding single-phase transformer rated 60kVA,240/1200V,60Hz, has an efficiency of 0.96 when operated at rated load, 0.8 power factor lagging. This transformer is to be utilized as a 1440/1200-V step-down autotransformer in a power distribution system. (a) Find the permissible kVA rating of the autotransformer if the winding currents and voltages are not to exceed the ratings as a two-winding transformer. Assume an ideal transformer. (b) Determine the efficiency of the autotransformer with the kVA loading of part (a) and 0.8 power factor leading.For the transformer in Problem 3.10. The open-circuit test with 11.5 kV applied results in a power input of 65 kW and a current of 30 A. Compute the values for GcandBm in siemens referred to the high-voltage winding. Compute the efficiency of the transformer for a load of 10 MW at 0.8 p.f. lagging at rated voltage.An ideal transformer with N1=1000andN2=250 is connected with an impedance Z22 across winding 2. If V1=10000VandI1=530 A, determine V2,I2,Z2, and the impedance Z2, which is the value of Z2 referred to the primary side of the transformer.
- An ideal transformer has no real or reactive power loss. (a) True (b) FalseAn ideal transformer is rated to deliver 460 kVA at380 V to a customer, as shown in Figure.a. How much current can the transformer supply tothe customer?b. If the customer’s load is purely resistive (i.e., ifpf = 1), what is the maximum power that thecustomer can receive?c. If the customer’s power factor is 0.8 (lagging),what is the maximum usable power the customercan receive?d. What is the maximum power if the pf is 0.7(lagging)?e. If the customer requires 300 kW to operate, what isthe minimum power factor with the given sizetransformer?In a 100-kVA, 6,000/400-V, Y-Y, 3-ph, 50-Hz transformer, the copper loss is measured at 5000 W during half-load. Apparently, the maximum efficiency also occurs at ¾ full-load, find the efficiencies of the transformer at full-load and at half-load both at 0.8 pf
- You are given five light bulbs designed to operate on 160 mA current at 3.0 V (rms values), arid want to connect them in parallel, through an ideal transformer, to 120 V rms AC household power. a) Draw a circuit diagram showing the AC power source (a generator symbol ), the transformer, and resistors for the light bulbs. b) Is the required transformer step-up or step-down? What turns ratio N5/N is needed? e) Calculate the ruts current through both the primary and secondary coils of the trans former, in mA.1. a) Find the turns ratio N1/N2 for the ideal transformer in the circuitso that maximum average power is delivered to the 400 Ω load.2. b) Find the average power delivered to the 400 Ω load.3. c) Find the voltage V1.4. d) What percentage of the power developed by the ideal currentsource is delivered to the 400 Ω resistor?A 120:480-V, 10-kVA step-up two-winding transformer is to be used as an autotransformer to supply a 120-V circuit from a 600-V source (a step-down autotransformer). When it is tested as a two-winding transformer at rated load, unity power factor, its efficiency is 97.9 %. 1.Show the connection diagram of the transformer converted as an autotransformer and identify which is the series winding Nse and the common winding Nc.