A 100-KVA, 2500/125-V, 50-Hz, step-down transformer has the following parameters: R₁ = 1.5Ω, Χ = 2.8Ω, R, = 15mΩ, X, =20mΩ, Raj = 3ΚΩ, Xmi = 5kΩ The transformer delivers 85% of the rated load at a terminal voltage of 115 V and a power factor of 0.866 lagging. Determine (a) the efficiency, and (b) the voltage regulation. Draw the phasor diagram of the transformer. Use the approximate equivalent circuit referred to the secondary side.

A 100-KVA, 2500/125-V, 50-Hz, step-down transformer has the following parameters: R₁ = 1.5Ω, Χ = 2.8Ω, R, = 15mΩ, X, =20mΩ, Raj = 3ΚΩ, Xmi = 5kΩ The transformer delivers 85% of the rated load at a terminal voltage of 115 V and a power factor of 0.866 lagging. Determine (a) the efficiency, and (b) the voltage regulation. Draw the phasor diagram of the transformer. Use the approximate equivalent circuit referred to the secondary side.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Related questions

Q: Design a lo power transformer to be used in a wind turbine for the following specifica tions: 1-…

A: To need to design a power transformer that is to be used in a wind turbine for the following…

Q: Consider a transformer with a primary coil consisting of 1490 turns and a secondary coil of 1900…

A: Given in the question: Turns in the primary winding = N1 = 1490 Turns in the secondary winding, N2 =…

Q: Question 5 An ideal transformer is one which has Not yet answered No losses and magnetic leakage…

Q: An ideal transformer with a primary winding number of 250 and a secondary winding number of 500 has…

A: it is given that the transformer is ideal. the applied voltages are too low but it is ideal…

Q: If the open circuit voltage is 225V and the full load voltage is 200V, then the percentage…

Q: A 50 Hz, Scott connected transformer supplies an unbalanced two phase load at ( 400 V) per phase.…

Q: There is an electron moving to the right undeflected by both the electric field in between the…

A: The given figure is: Here, E=8 N/CB=4 T It is given that the electron is moving un-deflected by…

Q: A 3-phase 100OKVA, 11000/416 transformer is delta- connected on the primary and star connected on…

A: Transformation ratio K=0.416kV3*11kV=0.0218Per phaes…

Q: In the figure below, what will be your work done in joules if you move an electron along the 70-V…

A: We need to find out work done for equipotential surface .

Q: DC 200 V is applied to the primary of a transformer with a conversion ratio of 1/5. From secondary…

A: The winding functions as a short circuit through the source terminals of DC when a DC voltage is…

Q: Question 4 a) The IEEE Standard 754 representation of a floating point number is given as:…

A: The solution is given below

Q: A 2.2 KVA, 480/4800-V, 50 Hz, single-phase transformer is tested with the following results. Find…

Q: It is desired to have a 4.13 mWb maximum core flux in a transformer at 110V and 50 Hz. Determine the…

Q: A 400/230V, 50Hz, single phase transformer has 200 turns on high voltage side. Find turns ratio,…

A: A transformer is an electrical machine which is used in AC circuit to either step up or step down…

Q: Explain the faults in transformer. Explain the construction and working principle of Buchhloz Relay

A: Currents caused by a failure on a transformer winding depend on the source, neutral grounding…

Q: A 3-phase 100OKVA, 11000/416 transformer is delta-connected on the primary and star connected on the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the circuit in the figure below: a) What are the benefites of using the transformer in this…

A: Cut in voltage of silicon diode is 0.7V and cut in voltage of germanium diode is 0.3V. During…

Q: Volt ac voltage is applied to the primary input of a transformer. A load of B ohms at the output it…

Q: The primary induced EMF (E1) is 180 degrees out of phase with V1 but the equal magnitude in the…

A: The primary induced EMF (E1) is 180 degrees out of phase with V1 but the equal magnitude in the…

Q: With base MVA of 150 and base voltage of 33. If the reactance of the transformer is 0.23 pu. The…

A: Base MVA S= 150MVA Base voltage VB = 33kV Reactance per unit = 0.23 Reactance?

Q: If the open circuit voltage is 225V and the full load voltage is 214V, then the percentage…

A: Percentage regulation is given by R R = (VOC - VFL ) / VFL VOC = Open circuit voltage VFL =…

Q: A single-phase transformer has maximum efficiency of 98 %. The core losses are 80 W and the…

A: Given: A single phase transformer has Maximum efficiency, ηmax=98 % Core loss, Pi=80 W Equivalent…

Q: a buck converter, what are the benefits and disadvantages if the changes of duty cycle is drastic…

A: Duty cycle : Duty cycle in the power system is defined as the ratio of the time during which a load…

Q: A 50 kVA transformar has a core loss of 500 W and full load core loss of 900 W. The load at which…

Q: 1. An ideal transformer with a 450 turn primary connected to a 600 V, 60 Hz supply line needs to…

A: Number of turns in primary N1=450. Primary voltage V1=600 V. Secondary voltage V2=240 V. Load…

Q: An ideal transformer is rated for a maximum power of 10VA.With a 10642 load and an unkownsource…

A: We need to find maximum load .

Q: There is no magnetic core loss in an ideal transformer Select one: O True O False

A: The explanation is as follows.

Q: Given

Q: A transformer with a 10/1 turns ratio has a maximum flux density of 60,000 lines/in2, when the…

A: EMF E = 4.44×frequency×Flux in the core×per phase turns. But flux = flux density× area of the core.…

Q: In small transformers, the total iron losses may vary from % of the rated output. O 0.5 to 1 O 0.2…

A: They can either be graphite or precious metal brushes which have electrical motor connections. To…

Q: In a single-phase transformer induced electromotive force per turn on secondary winding is Select…

A: Let E2 be the induced electro magnetic force in secondary winding and N2 be the number of turns in…

Q: Determine the regulation of a transformer in which the percentage resistance drop is 1% and the…

Q: A single-phase semi-converter is operated form 120 V, 50 Hz AC supply at a firing angle of 30…

A: Given: A single phase semi-converter is operated from 120 V, 50 Hz with, Firing angle, α=30°

Q: Figura 3-Transformador V. Ned Ns Vs Input Output

Q: The purpose of the no-load test in the transformer is to determine O Input voltage O Core loss…

Q: The ratings of a three-winding transformer are: Primary: Y connected, 66kV, 20MVA Secondary: Y…

A: Given data: System base=20 MVA a) The expression for the per unit value of reactance Xst is given…

Q: A transformer has a rated output of 400 kVA at a power factor of 0.6. Determine the rated power…

A: Rated output (S) = 300 kVA Power factor (ϕ) = 0.6 We have to find the rated power output and the…

Q: Complete the blank The copper loss of a transformer at 4/5 of the full load is 4000 W, full load…

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 100-KVA, 2500/125-V, 50-Hz, step-down
transformer has the following parameters: R₁ =
1.5Ω, Χ= 2.8Ω, R2 = 15mΩ, X, =20mΩ, Rai
3ΚΩ, Xmi
5ΚΩ
=
The transformer delivers 85% of the rated load at
a terminal voltage of 115 V and a power factor of
0.866 lagging. Ďetermine (a) the efficiency, and
(b) the voltage regulation. Draw the phasor
diagram of the transformer.
Use the approximate equivalent circuit referred
to the secondary side.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Stating the gven data

VIEW

Step 2: The exact equivalent diagram,

VIEW

Step 3: Finding iron losses

VIEW

Step 4: finding the secondary current,

VIEW

Step 5: Finding copper losses,

VIEW

Step 6: (a) Finding the efficiency

VIEW

Step 7: (b) Finding the voltage regulation,

VIEW

Step 8: The phasor diagrams

VIEW

Solution

VIEW

Step by step

Solved in 9 steps with 55 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

For the given circuit below, a step down transformer gives an RMS voltage of 230 V/ 14.9-0-14.9 V with a load resistance of 2.2 Kiloohms. Assume Silicon diodes are used. Determine the Peak Inverse Voltage of the diode. D, RL D2 32.63 21.07 42.14 O26.97
Draw the scheme of a single-phase transformer with two secondary windings and mark the main symbols and quantities. Write the formulas to determine the total power P1, the transformation ratios and the primary current I1.
A 12V rms ac supply is connected to the primary winding of a transformer with a turns ratio of 0.052. calculate the RMS secondary voltage given a voltage regulation of 4.0%.
opper losses Which of following is a variable loss in a transformer? O Constant loss O Eddy current Hysteresis losses O Copper loss
The turn ratio and type of transformer required for the circuit shown in figure, where the average value is 15.9 and the input voltage is 120v rms: reeeeeee 0.294 step up O 0.147 step down eeeeeee 0.294 step down 2:1 step down O 5:1 step down Other: R₁
A 5 to 1 ratio, step-down 10 transformer has 230/460 V secondary voltages. The secondary winding being continuously wound but with the center tap brought out. Across one half of the winding is connected an induction motor drawing 50 A at 0.72 pf and 230 V. On the other half is connected an over-excited synchronous motor drawing 40 A at 0.9 pf and 230 V. (a) Determine the current thru the center tap (b) Assuming no-loss, determine the real power at the primary side 3.
A short circuit test performed on a 25 KVA 2300/230 V transformer gives the measured value of the resistance as 0.8 Q and 0.009 Q on the two sides of the transformer. The total equivalent resistance in Q referred to LV side will be
The major drawback of an auto transformer is
The equivalent circuit impedances of a 20-kVA, 8000/240-V, 60-Hz transformer are to be determined. The open-circuit test and the short- circuit test were performed on the primary side of the transformer, and the following data were taken: Open-circuit test (on primary) Short-circuit test (on primary) 8000 V V= 489 V I0.214 A 2.5 A P= 400 W P= 240 W Find the impedances of the approximate equivalent circuit referred to the primary side, and sketch the circuit.
P:11) Solve all parts.
Q5. For the following center tapped transformer, show the waveform across each half of the secondary winding and across R, when a 100 V peak sine wave is applied to the primarywinding. What is the PIV rating must the diodeshave? (Use constant voltage drop model for the Silicon diode) D IN4001 OV 10 kN IN4001 DELL