a) Define what the term "permeability" means. Explain why this is an important parameter in designing transformers. b) A maximum current of 60 A flows in a copper conductor with cross-sectional area, A. = racistivity of 20 n0. m. A 250 m cable is being used on a 240 V DC circuit to

a) Define what the term "permeability" means. Explain why this is an important parameter in designing transformers. b) A maximum current of 60 A flows in a copper conductor with cross-sectional area, A. = racistivity of 20 n0. m. A 250 m cable is being used on a 240 V DC circuit to

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 3.16MCQ: In developing per-unit circuits of systems such as the one shown in Figure 3.10. when moving across...

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Concept explainers

Single Phase Transformer

A single-phase transformer is a type of power transformer. It is an electrical device that accepts converts the single phase alternating power into single phase alternating power. In this power conversion the voltage is stepped up or down. If the voltage is stepped up, the current will be stepped down and if the voltage is stepped down, the current will be stepped up.

Question

a) Define what the term "permeability" means. Explain why this is an important parameter in
designing transformers.
b) A maximum current of 60 A flows in a copper conductor with cross-sectional area, A.
u7 ond o recistivity of 20 n0. m. A 250 m cable is being used on a 240 V DC circuit to

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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.
An ideal transformer has no real or reactive power loss. (a) True (b) False
In developing per-unit circuits of systems such as the one shown in Figure 3.10. when moving across a transformer, the voltage base is changed in proportion to the transformer voltage ratings. (a) True (b) False
For an ideal 2-winding transformer, the ampere-turns of the primary winding, N1I1 is equal to the ampere-turns of the secondary winding, N2I2 (a) True (b) False
Three single-phase, two-winding transformers, each rated 450MVA,20kV/288.7kV, with leakage reactance Xeq=0.10perunit, are connected to form a three-phase bank. The high-voltage windings are connected in Y with a solidly grounded neutral. Draw the per-unit equivalent circuit if the low-voltage windings are connected (a) in with American standard phase shift or (b) in Y with an open neutral. Use the transformer ratings as base quantities. Winding resistances and exciting current are neglected.
The direct electrical connection of the windings allows transient over voltages to pass through the auto transfonner more easily, and that is an important disadvantage of the autotransformer. (a) True (b) False
Consider a source of voltage v(t)=102sin(2t)V, with an internal resistance of 1800. A transformer that can be considered as ideal is used to couple a 50 resistive load to the source. (a) Determine the transformer primary-to-secondary turns ratio required to ensure maxi mum power transfer by matching the load and source resistances. (b) Find the average power delivered to the load, assenting maximum power transfer.
The ideal transformer windings are eliminated from the per-unit equivalent circuit of a transformer. (a) True (b) False
For a short-circuit test on a 2-winding transformer, with one winding shorted, can you apply the rated voltage on the other winding? (a) Yes (b) No
For developing per-unit equivalent circuits of single-phase three-winding transformer, a common Sbase is selected for all three windings and voltage bases are selected in proportion to the rated voltage of the windings (a) True (b) False
Usually, transformers are designed to operate with peak flux densities just below saturation of the core material. Why would we not want to design them to operate far below the saturation point? Far above the saturation point? Assume that the voltage and current ratings are to remain constant.
Discuss the role of transformers in power systems. How do they step up or step down voltage, and what are their primary applications?