Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN: 9781305632134
Author: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher: Cengage Learning
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Chapter 3, Problem 3.28MCQ
To determine
The method to balance the ampere-turns.
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The 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.
6. A 25 kVA, 2300/230 V, single phase transformer has the following parameters: R1 = 0.8 Ω, X1 = 3.2 Ω, R2
= 0.009 Ω, X2 = 0.03 Ω. Solve for (a) equivalent value of resistance, reactance and impedance in secondary
terms, (b) voltage regulation at 0.9 lagging pf and (c) voltage regulation for a leading pf of 0.866.
Subject: Electrical Apparatus and Devices
2) A 20 KVA, 2400/240 V, 60 Hz transformer, to
Determine the equivalent circuit impedances. The data obtained from
The open circuit and short circuit tests carried out on the primary side
of the transformer are the following:
Open circuit test
VCA = 2400 V
ICA = 0.20 A
PCA = 50 W
Short circuit test
Vcc = 50 V
Icc = 8.33 A
PCC = 230 W
a) Determine the equivalent circuit parameters of the transformer
referred to the high voltage side.
b) Find the transformer voltage regulation for conditions
Nominal and F.P. 0.9 in delay.
Chapter 3 Solutions
Power System Analysis and Design (MindTap Course List)
Ch. 3 - The Ohms law for the magnetic circuit states that...Ch. 3 - For an ideal transformer, the efficiency is (a) 0...Ch. 3 - For an ideal 2-winding transformer, the...Ch. 3 - An ideal transformer has no real or reactive power...Ch. 3 - For an ideal 2-winding transformer, an impedance...Ch. 3 - Consider Figure 3.4. For an ideal phase-shifting...Ch. 3 - Consider Figure 3.5. Match the following, those on...Ch. 3 - The units of admittance, conductance, and...Ch. 3 - Match the following: (i) Hysteresis loss (a) Can...Ch. 3 - For large power transformers rated more than 500...
Ch. 3 - For a short-circuit test on a 2-winding...Ch. 3 - The per-unit quantity is always dimensionless. (a)...Ch. 3 - Consider the adopted per-unit system for the...Ch. 3 - The ideal transformer windings are eliminated from...Ch. 3 - To convert a per-unit impedance from old to new...Ch. 3 - In developing per-unit circuits of systems such as...Ch. 3 - Prob. 3.17MCQCh. 3 - Prob. 3.18MCQCh. 3 - With the American Standard notation, in either a...Ch. 3 - Prob. 3.20MCQCh. 3 - In order to avoid difficulties with third-harmonic...Ch. 3 - Does an open connection permit balanced...Ch. 3 - Does an open- operation, the kVA rating compared...Ch. 3 - It is stated that (i) balanced three-phase...Ch. 3 - In developing per-unit equivalent circuits for...Ch. 3 - In per-unit equivalent circuits of practical...Ch. 3 - Prob. 3.27MCQCh. 3 - Prob. 3.28MCQCh. 3 - For developing per-unit equivalent circuits of...Ch. 3 - Prob. 3.30MCQCh. 3 - Prob. 3.31MCQCh. 3 - Prob. 3.32MCQCh. 3 - The direct electrical connection of the windings...Ch. 3 - Consider Figure 3.25 of the text for a transformer...Ch. 3 - (a) An ideal single-phase two-winding transformer...Ch. 3 - An ideal transformer with N1=1000andN2=250 is...Ch. 3 - Consider an ideal transformer with...Ch. 3 - A single-phase 100-kVA,2400/240-volt,60-Hz...Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Consider a source of voltage v(t)=102sin(2t)V,...Ch. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - A single-phase step-down transformer is rated...Ch. 3 - For the transformer in Problem 3.10. The...Ch. 3 - Prob. 3.12PCh. 3 - A single-phase 50-kVA,2400/240-volt,60-Hz...Ch. 3 - A single-phase 50-kVA,2400/240-volt,60-Hz...Ch. 3 - Rework Problem 3.14 if the transformer is...Ch. 3 - A single-phase, 50-kVA,2400/240-V,60-Hz...Ch. 3 - The transformer of Problem 3.16 is supplying a...Ch. 3 - Using the transformer ratings as base quantities,...Ch. 3 - Using the transformer ratings as base quantities....Ch. 3 - Using base values of 20 kVA and 115 volts in zone...Ch. 3 - Prob. 3.21PCh. 3 - A balanced Y-connected voltage source with...Ch. 3 - Figure 3.32 shows the oneline diagram of a...Ch. 3 - For Problem 3.18, the motor operates at full load,...Ch. 3 - Consider a single-phase electric system shown in...Ch. 3 - A bank of three single-phase transformers, each...Ch. 3 - A three-phase transformer is rated...Ch. 3 - For the system shown in Figure 3.34. draw an...Ch. 3 - Consider three ideal single-phase transformers...Ch. 3 - Reconsider Problem 3.29. If Va,VbandVc are a...Ch. 3 - Prob. 3.31PCh. 3 - Determine the positive- and negative-sequence...Ch. 3 - Consider the three single-phase two-winding...Ch. 3 - Three single-phase, two-winding transformers, each...Ch. 3 - Consider a bank of this single-phase two-winding...Ch. 3 - Three single-phase two-winding transformers, each...Ch. 3 - Three single-phase two-winding transformers, each...Ch. 3 - Consider a three-phase generator rated...Ch. 3 - The leakage reactance of a three-phase,...Ch. 3 - Prob. 3.40PCh. 3 - Consider the single-line diagram of the power...Ch. 3 - For the power system in Problem 3.41, the...Ch. 3 - Three single-phase transformers, each rated...Ch. 3 - A 130-MVA,13.2-kV three-phase generator, which has...Ch. 3 - Figure 3.39 shows a oneline diagram of a system in...Ch. 3 - The motors M1andM2 of Problem 3.45 have inputs of...Ch. 3 - Consider the oneline diagram shown in Figure 3.40....Ch. 3 - With the same transformer banks as in Problem...Ch. 3 - Consider the single-Line diagram of a power system...Ch. 3 - A single-phase three-winding transformer has the...Ch. 3 - The ratings of a three-phase three-winding...Ch. 3 - Prob. 3.52PCh. 3 - The ratings of a three-phase, three-winding...Ch. 3 - An infinite bus, which is a constant voltage...Ch. 3 - A single-phase l0-kVA,2300/230-volt,60-Hz...Ch. 3 - Three single-phase two-winding transformers, each...Ch. 3 - A two-winding single-phase transformer rated...Ch. 3 - A single-phase two-winding transformer rated...Ch. 3 - Prob. 3.59PCh. 3 - PowerWorid Simulator case Problem 3_60 duplicates...Ch. 3 - Rework Example 3.12 for a+10 tap, providing a 10...Ch. 3 - A 23/230-kV step-up transformer feeds a...Ch. 3 - The per-unit equivalent circuit of two...Ch. 3 - Reconsider Problem 3.64 with the change that now...Ch. 3 - What are the advantages of correctly specifying a...Ch. 3 - Why is it important to reduce the moisture within...Ch. 3 - What should be the focus of transformer preventive...
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- An infinite bus, which is a constant voltage source, is connected to the primary of the three-winding transformer of Problem 3.53. A 7.5-MVA,13.2-kV synchronous motor with a sub transient reactance of 0.2 per unit is connected to the transformer secondary. A5-MW,2.3-kV three-phase resistive load is connected to the tertiary Choosing a base of 66 kV and 15 MVA in the primary, draw the impedance diagram of the system showing per-unit impedances. Neglect transformer exciting current, phase shifts, and all resistances except the resistive load.arrow_forwardConsider 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) Noarrow_forwardA 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.arrow_forward
- 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.arrow_forwardA 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.arrow_forwardAn ideal transformer has no real or reactive power loss. (a) True (b) Falsearrow_forward
- A single phase transformer is rated 1.2 kV/120 V; 7.2 kVA yields the following test results; Open-circuit test: V2=120V; I2=1.2A; P2=40W Short-circuit test: V1=20V; I1=6A; P1=36W Determine: a) The parameters R, X, Z, G, B and Y referred to the primary (1.2KV) side. b) Sketch equivalent circuit of the transformer from primary side and show all parameters that you have calculated in (a). c) The efficiency of the transformer when it delivers 5.4 kW at 120V and 0.9 power factor. d) The voltage regulation of the transformer when it is delivering 6 kW to load at 120 V and 0.8 power-factor lagging.arrow_forwardA step-down transformer is rated 10kVA, 7500/250 V and has the following equivalent circuit parameters:Rp = 2.92 Ω Rs = 0.00432 Ω Rm = 51,840 ΩXp = 14.6 Ω Xs = 0.02160 Ω Xm = 12,960 ΩAssume that this transformer is supplying rated load at 250 V and 0.85 PF lagging.(i)Find the equivalent winding impedance referred to the high voltage side.(ii)Determine this transformer’s input voltage.(iii)Determine its voltage regulation.arrow_forwardIn a three-phase step-down transformer with 150 kVA, 2080/208 V 60 Hz Y / Y connected R1 = 0.45 ohm, X1 = 2.2 ohm, R2 = 4.5 mohm, X2 = 22 mohm, Rc = 10 kohm, Xm = 8 kohms. When installed at 120 kVA, 90 kW back power factor, if the voltage at the load ends is at its nominal value, a) Primary side terminal voltage b) Yield (efficiency) c) Calculate the voltage regulation value?arrow_forward
- A 10 kVA, 2000/400 V, single-phase transformer has resistances and leakage reactance as; R1 = 5.2 Ω, X1 = 12.5 Ω, R2 = 0.2 Ω, X2 = 0.5 Ω. Determine the value of secondary terminal voltage when the transformer is operating with rated primary voltage with the secondary current at its rated value with power factor 0.8 lag. The no-load current can be neglected. Draw the phasor diagram.arrow_forwarda 100 kva, 1100/220 v, 50 hz, single-phase transformer has a leakage impedance of (0.1 +0.40) ohm for the h.v. winding and (0.006 + 0.015) ohm for the l.v. winding. find the equivalent winding resistance, reactance and impedance referred to the h.v. and l.v. sides.arrow_forwardThe parameters of the equivalent circuit of a 150 KVA , 2400 V / 240 V transformer are R2 = 0.2 92 , R2 = 0.0022 , X2 = 0.45 2 , X2 = 0.0045 2 , Rcore = 10 k - 2 , Xm = 1.55 k 2. Using the approximated equivalent circuit , determine : ( a ) the voltage regulation and ( b ) the efficiency of the transformer operating at rated load with 0.8 lagging power factor .arrow_forward
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