Q4: A 2.5 kVA, 200V/40V single-phase transformer has the primary resistance and reactance of 3 and 12 , respectively. On the secondary side, these values are 0.3 and 0.1 02, respectively. Find the equivalent impedance referred to the primary and the secondary.
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- For an ideal 2-winding transformer, an impedance Z2 connected across winding 2 (secondary) is referred to winding 1 (primary) by multiplying Z2 by (a) The turns ratio (N1/N2) (b) The square of the turns ratio (N1/N2)2 (c) The cubed turns ratio (N1/N2)3Consider 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.A single-phase, 50-kVA,2400/240-V,60-Hz distribution transformer has the following parameters: Resistance of the 2400-V winding: R1=0.75 Resistance of the 240-V winding: R2=0.0075 Leakage reactance of the 2400-V winding: X1=1.0 Leakage reactance of the 240-V winding: X2=0.01 Exciting admittance on the 240-V side =0.003j0.02S (a) Draw the equivalent circuit referred to the high-voltage side of the transformer. (b) Draw the equivalent circuit referred to the low-voltage side of the transformer. Show the numerical values of impedances on the equivalent circuits.
- The ratings of a three-phase three-winding transformer are Primary(1): Y connected 66kV,15MVA Secondary (2): Y connected, 13.2kV,10MVA Tertiary (3): A connected, 2.3kV,5MVA Neglecting winding resistances and exciting current, the per-unit leakage reactances are X12=0.08 on a 15-MVA,66-kV base X13=0.10 on a 15-MVA,66-kV base X23=0.09 on a 10-MVA,13.2-kV base (a) Determine the per-unit reactances X1,X2,X3 of the equivalent circuit on a 15-MVA,66-kV base at the primary terminals. (b) Purely resistive loads of 7.5 MW at 13.2 kV and 5 MW at 2.3kV are connected to the secondary and tertiary sides of the transformer, respectively. Draw the per- unit impedance diagram, showing the per-unit impedances on a 15-MVA,66-kV base at the primary terminals.A 23/230-kV step-up transformer feeds a three-phase transmission line, which in turn supplies a 150-MVA,0.8 lagging power factor load through a step-down 230/23-kV transformer. The impedance of the line and transformers at 230kVis18+j60. Determine the tap setting for each transformer to maintain the voltage at the load at 23 kV.A bank of three single-phase transformers, each rated 30MVA,38.1/3.81kV, are connected in Y- with a balanced load of three 1, Y-connected resistors. Choosing a base of 90MVA,66kV for the high-voltage side of the three-phase transformer. spify the base for the low-voltage side. Compute the per-unit resistance of the load on the base for the low-voltage side. Also, determine the load resistance in ohms referred to the high-voltage side and the per-unit value on the chosen base.
- The resistance and reactance of the primary winding of a 440/110 V single phase transformer are 4.4 ohm and 8 ohm respectively. The resistance and reactance of the secondary winding are 1.6 ohm and 2ohm respectively. Then find the equivalent resistance, reactance and impedance referred to the primary side.A single-phase transformer has a voltage ratio on open circuit of 7900/660 V. The primary and secondary resistances are 0.55 ohm and 0.035 ohm respectively. The corresponding leakage reactances being 4.22 ohm and 0.18 ohm. The load is equivalent to a coil of resistance 3.85 ohm and inductive reactance of 4.2 ohm. Determine the terminal voltage of the transformer and the output in kW when supplying a given load using approximate equivalent circuit when the applied voltage is 7912 V. Your answerGiven Zo-j407 2, R₁143, R6317 52 and a 0.04, what is the magnitude of the source voltage Vs (in V rms) in the primary of the ideal transformer? Vs R₁ ww Answer: Zc Zc R₁ Use up to 2 digits after the decimal point if necessary in your answer below VL-28020 V TR
- primary of a certain transformer takes 1 a at a power factor of 0.4 when it is connected acrossa 200-v, 50-hz supply and the secondary is on open circuit. the number of turns on the primary istwice that on the secondary. a load taking 50 a at a lagging power factor of 0.8 is now connectedacross the secondary. what is now the value of primary current ?Example 5: A transformer has 600 primary turns and 150 secondary turns. The primary and secondary resistances are 0.25 2 and 0.01 Q respectively and the corresponding leakage reactances are 1.0 2 and 0.04 Q respectively. Determine: a) The equivalent resistance referred to the primary winding b) The equivalent reactance referred to the primary winding c) The equivalent impedance referred to the primary winding d) The phase angle of the impedance.A 50 Hz, Scott connected transformer supplies an unbalanced two phase load at ( 400 V) per phase. For the leading phase the load has a resistance of (13.3 ohm) and capacitor of (318) micro farad in series. For the other phase the load consists of resistance (10) ohm and an inductance of (42.3) mH. Calculate both mathematically and graphically the lines currents on 3- phase side. The main transformer primary to secondary turns ratio is (12/1).