Fundamentals Of Energy Systems HW 6 Q1 1. Consider a 100 V/120 V, 60 Hz, 10 kVA autotransformer. At full load(10 kVA) operation, find out the following quantities.1. The portion of the power transferred through the windings (magnetically)and the portion transferred through the electric connection (S and Sw).2. The LV and HV sides currents (IL and IH).3. The current flowing in the common winding (Ic).4. The voltage across the series winding (Vs).5. The relative size of a normal transformer (to this AT) to transfer the samelevel of power, i.e. 10 kVA.

Step 1: Given: Voltage ratings: VL=100V,VH=120V Frequency: f=60 Hz Power rating: S=10 kVA=10,000…

Answered: 1. Consider a 100 V/120 V, 60 Hz, 10…

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter3: Power Transformers

Section: Chapter Questions

Problem 3.28MCQ

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10. In a transformer, the leakage flux of each wind- ing is proportional to the current in that winding because (a) Ohm's law applies to magnetic circuits (b) leakage paths do not saturate (c) the two windings are electrically isolated (d) mutual flux is confined to the core. 11. In a two-winding transformer, the e.m.f.per turn in secondary winding is always.........the induced e.m.f. power turn in primary. (a) equal to K times (b) equal to 1/K times (c) equal to (d) greater than. 12. In relation to a transformer, the ratio 20: 1 indi- cates that (a) there are 20 turns on primary one turn on secondary (b) secondary voltage is 1/20th of primary voltage (c) primary current is 20 times greater than the secondary current. (d) for every 20 turns on primary, there is one turn on secondary.
1. In a transformer, which options are correct:A. Works on Faraday’ law and Ampere’s lawB. DC current in the primary winding will produce voltage output in the secondary windingC. Copper losses are caused by reluctance in magnetic circuitD. Frequency of input power source will not govern the voltage induced in secondary circuit.2. Voltage ratio of input voltage and output voltage in IDEAL transformer depends on:A. Leakage fluxB. Magnetization currentC. Copper loss currentD. Turns ratio3. The core of transformer must have:
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3. The low-voltage winding of a 3000/200-V, 50-Hz, a single-phase transformer has 80 turns and is installed on a core with an efficient cross-sectional area of 150 cmz. Make a calculation on: a. the high-voltage winding's number of turns b. the value of the maximum flux density in the core
A 3000/200V ,50hz. , single phase transformer has a cross sectional area of 150 cm2 for the core. If number of turns on the low voltage winding is 80, determine number of turns on the high voltage winding and maximum value of flux density in the core.
(a) Explain briefly what is fringing effect and leakage flux. (b) A ferromagnetic core is shown in Figure 1. The depth of the core is 10 cm. The other dimensions of the core are as shown in the figure. By assuming the magnetic leakage to be negligible and relative permeability of the core is 800. Calculate the total reluctance and find the value of the current that will produce a flux of 0.01 Wb. With this current, calculate the flux density at the top of the core 20 cm 40 cm 10 cm, 30 cm 500 turns 30 cm 30 cm Figure 1
Question three: A single phase, 4600/460 V, 60 Hz, transformer is connected to a 60 Hz, 4600V power supply. The maximum flux density in the core is 0.85 T. If the induced voltage per turn in 10V, determine (a) The primary turns (N1) and the secondary turns (N). (b) The cross-sectional area (A) of the core.
4. In a transformer, which options are correct: A. Works on Faraday’ law and Ampere's law B. DC current in the primary winding will produce voltage output in the secondary winding C. Copper losses are caused by reluctance in magnetic circuit D. Frequency of input power source will not govern the voltage induced in secondary circuit. 5. Voltage ratio of input voltage and output voltage in IDEAL transformer depends on: A. Leakage flux B. Magnetization current C. Copper loss current D. Turns ratio 6. The core of transformer must have A. Low reluctance C. High reluctance B. High resistance D. Low resistance 7. An overexcited synchronous motor behaves like: B. Resistive load D. DC generator A. Inductive load C. Capacitive load 8. The amount of real power delivered by a synchronous generator connected to an infinite bus can be controlled by adjusting A. System frequency C. Full load frequency B. No load frequency D. Terminal voltage
An iron core is most often used in an AC transformer to1.provide a better coupling between the primary and secondary coils2.any of the choices mentioned3.to increase the magnitude of mutual inductance4.to channel most of the magnetic flux from primary to the secondary
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A single pahse transformer has 230 primary and 870 secondary turns. The primary is connected to 400 V, 50 Hz a.c. supply. If the net cross core is 50 cm². Calculate the maximum flux density in the core and induced e.m.f. in the secondary winding.

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