PROBLEMSSECTION 3.13.1 (a) An ideal single-phase two-winding transformer with turns ratio a, = N1/N2 is con-nected with a series impedance Z, across winding 2. If one wants to replace Z,, with aseries impedance Z, across winding 1 and keep the terminal behavior of the two cir-cuits to be identical, find Z¡ in terms of Z2.(b) Would the above result be true if instead of a series impedance there is a shuntimpedance?(c) Can one refer a ladder network on the secondary (2) side to the primary (1) sidesimply by multiplying every impendance by a??3.2 An ideal transformer with N1 = 2000 and N2 = 500 is connected with an impedanceZ2, across winding 2, called secondary. If V = 1000 /0° V and I = 5 /-30° A,determine V2, I2, Z2, and the impedance Z', which is the value of Z2 referred to theprimary side of the transformer.3.3 Consider an ideal transformer with N1 = 3000 and N2 = 1000 turns. Let winding 1 beconnected to a source whose voltage is e1(t) = 100(1 - |4) volts for –1 sisl andei(1) = 0 for |t| > 1 second. A 2-farad capacitor is connected across winding 2. Sketchei(1), e2(1), i1 (1), and i2(t) versus time t.A single-phase 100-kVA, 2400/240-volt, 60-Hz distribution transformer is used as astep-down transformer. The load, which is connected to the 240-volt secondary wind-ing, absorbs 80 kVA at 0.8 power factor lagging and is at 230 volts. Assuming anideal transformer, calculate the following: (a) primary voltage, (b) load impedance,(c) load impedance referred to the primary, and (d) the real and reactive power sup-plied to the primary winding.3.4

Answered: Image /qna-images/answer/69e37875-aaa8-45e0-af15-61de5e61f191.jpg

3.1 (a) An ideal single-phase two-winding transformer with turns ratio a, = N1/N2 is con- nected with a series impedance Z2 across winding 2. If one wants to replace Z2, with a series impedance Z, across winding 1 and keep the terminal behavior of the two cir- cuits to be identical, find Zj in terms of Zz. (b) Would the above result be true if instead of a series impedance there is a shunt impedance? (c) Can one refer a ladder network on the secondary (2) side to the primary (1) side simply by multiplying every impendance by a??

3.1 (a) An ideal single-phase two-winding transformer with turns ratio a, = N1/N2 is con- nected with a series impedance Z2 across winding 2. If one wants to replace Z2, with a series impedance Z, across winding 1 and keep the terminal behavior of the two cir- cuits to be identical, find Zj in terms of Zz. (b) Would the above result be true if instead of a series impedance there is a shunt impedance? (c) Can one refer a ladder network on the secondary (2) side to the primary (1) side simply by multiplying every impendance by a??

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: Please solve this question step by step

A: The objective of the question is to draw the three-phase and equivalent single-phase circuits for a…

Q: A three-phase (non-linear) load is connected to the secondary of a three-phase transformer. In the…

Q: The transformer shown in Figure has severalsets of windings on the secondary side. The windingshave…

A: The ratio of each transformer is given. Hence, find the voltage of each secondary winding.

Q: A long line with A = D = 0.9 1.5° and B = 150 65° has at the load end a transformer having series…

Q: A star connected load with real impedance ZL= 1-j1 Ohm per phase is connected to the secondary of a…

A: The given data about a three phase YNyn0 connected transformer is: Star connected load is connected…

Q: 7. In ideal transformer the permeability of the core this means that .. magnetising current will…

A: Introduction: Transformer is the device, that operated only on AC supply. It cannot be connected…

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

A: Scott connection is used to convert a balanced three-phase into balance 2 phases or vice versa. it…

Q: Analysis of an Ideal Transformer Circuit The turns ratio of the step-up transformer in Figure 2 is…

Q: he efficiency, at unity p.f. of a 6600/384 V 200 KVA, 1-phase transformer is 98% both at full load…

A: An single phase transformer has single phase inputs and single phase outputs. The demand for single…

Q: Derive step by step, the electromotive force equation for a single-phase transformer.

Q: 3. At three winding transformer at no-load case, the current flows through the tertiary windings is…

A: Power factor: It tells how much active power is utilized by the circuit from the apparent power. The…

Q: 2.1: The following data refer to a single-phase transformer: Turn ratio (2:1), R=2 S2, X-12 n,…

Q: 1. A transformer transforms. (a) frequency (b) voltage (c) current (d) voltage and current. 2. Which…

Q: At the end of a one-phase supply line with a series impedance of 1+j2 ohms, a 50 kVA, 2400/240 volt,…

Q: A transformer is needed that will cause resista nce of 252 to appear a 240 Vyms. an actual load 100R…

A: a)Given

Q: a) Define what the term "permeability" means. Explain why this is an important parameter in…

Q: A 3-phase transformer, ratio 33/6.6-kV, A/Y, 1-MVA has a primary resistance of 8.5 ohms per phase…

A: 3 phase,E1=33kv,E2=6.6kv,Rating of transformer=1MVA,Primary resistance=8.5ohms,Secondary…

Q: In no-load phasor diagram of the transformer, the magnetizing current is to primary voltage.

Q: an ideal transformer circuit is shown in Figure Q4(a). Its primary and secondary turns are 400 and…

Q: Q3) The equivalent parameters of a transformer referred to the 10 2. The load voltage is =…

A: In this question we need to find a load impedance

Q: O b. 1 VA c. 2 VA Clear my choice A linear transformer reflects, Select one: O a. The conjugate of…

A: In this question , we will find complex power...

Q: Q5. A 20 kVA, 2000/200-V, 50-Hz transformer has a high voltage winding resistance of 0.2 2 and a…

Q: Two transformers A and B are connected in parallel to a load of (2+j1.5) ohms. Their impedances in…

A: Given,ZL = 2+j1.5 ΩZA=0.15+j0.5 ΩZB=0.1+j0.6 ΩEA=207 VEB =205 V

Q: Z₁= 1.2 + j2.4 , Z₂= 2.3 + j6.5 N, R=100 ₪, X=500 2 and Z₁=23 +j20 №.

A: Given: Z1= 1.2 +j 2.4 Ω Z2= 2.3+j6.5Ω R0= 100 Ω X0= 500Ω ZL = 23+j20Ω

Q: N1: N2 In-1A Vac 60 Hz Ver Center tapped 5000uF D2 Output Waveform: Vpp Voc 12V

Q: Q3) A (480/4800) V, 10 kVA transformer has a series equivalent impedance in per-unit as (0.0087+1…

Q: 6- A 100KVA, 1000/10000V, SOHZ transformer has an iron loss of 1200w. the copper loss with 6A in the…

A: Transformer: Transformer is a static electrical device which transfers power from one circuit to…

Q: Consider the three single-phase two-winding transformers shown in Figure. 3. The high-voltage…

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

PROBLEMS
SECTION 3.1
3.1 (a) An ideal single-phase two-winding transformer with turns ratio a, = N1/N2 is con-
nected with a series impedance Z, across winding 2. If one wants to replace Z,, with a
series impedance Z, across winding 1 and keep the terminal behavior of the two cir-
cuits to be identical, find Z¡ in terms of Z2.
(b) Would the above result be true if instead of a series impedance there is a shunt
impedance?
(c) Can one refer a ladder network on the secondary (2) side to the primary (1) side
simply by multiplying every impendance by a??
3.2 An ideal transformer with N1 = 2000 and N2 = 500 is connected with an impedance
Z2, across winding 2, called secondary. If V = 1000 /0° V and I = 5 /-30° A,
determine V2, I2, Z2, and the impedance Z', which is the value of Z2 referred to the
primary side of the transformer.
3.3 Consider an ideal transformer with N1 = 3000 and N2 = 1000 turns. Let winding 1 be
connected to a source whose voltage is e1(t) = 100(1 - |4) volts for –1 sisl and
ei(1) = 0 for |t| > 1 second. A 2-farad capacitor is connected across winding 2. Sketch
ei(1), e2(1), i1 (1), and i2(t) versus time t.
A single-phase 100-kVA, 2400/240-volt, 60-Hz distribution transformer is used as a
step-down transformer. The load, which is connected to the 240-volt secondary wind-
ing, absorbs 80 kVA at 0.8 power factor lagging and is at 230 volts. Assuming an
ideal transformer, calculate the following: (a) primary voltage, (b) load impedance,
(c) load impedance referred to the primary, and (d) the real and reactive power sup-
plied to the primary winding.
3.4

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

4. Would you parallel a delta-delta (A - A) 3-phase transformer bank with a delta-wye (A - Y) bank, assuming their output and input terminal voltages are equal? Justify your answer by superimposing their separate vector diagrams. (Hint solve the short circuit current at the secondary for %Z = 5%) Ans. Isc=518% of secondary current
A single-phase transformer has 180 and 45 turns, respectively, on its primary and secondary windings. The corresponding resistances are 0.2422 and 0.076 S2, respectively. Determine the equivalent resistance a. in primary terms, and b. in secondary terms.
3. A non-ideal 1-phase transformer has turns ratio 5:1 with 120Vac primary. The primary impedance is 1 + j1 Ohms, and the secondary impedance is 0.2 + j0.2 Ohms. Assume the core impedance (R0 and X0) can be neglected. A resistive load of 12 Ohms is connected to the secondary. What is the primary current magnitude? What is the secondary voltage magnitude? What is the efficiency of this transformer with this load?
Solve it quickly please
No-load operation and short circuit tests were performed on three-phase, 50 Hz 480/220 delta / Y connected transformer. In these testsThe line voltage, line current and three-phase total power have been measured from the high voltage windings and the test results are below.pictures. 100 A DC current when 1.08 V DC voltage from non-transferable software is applied to the low voltage windingshas attracted.Find the single phase equivalent circuit parameters of this transformer.idle test:Voltage: 480V Power:114w current: 0.71Ashort circiut test:V: 10v P: 78w c: 18.3a
6- A 600 kVA, 1-ph transformer has an efficiency of 92 % both at full- load and half-load at unity power factor. Determine its efficiency at 60 % of full load at 0.8 power factor lag.
in distribution transformers; What is 30 degrees phase shift in delta-star connection? What are the disadvantages? (can you explain with drawing?)
1. A 10 kVA, single-phase, 2400-V:120-V, 60 Hz transformer has an equivalent impedance referred to LV side of 0.01 + j0.09 Q. This transformer has a core loss of 100 W at rated voltage. When rated current is applied to the 2400-V winding, the exciting current in that winding is found to be 0.2 A. a. Find the full-load regulation of this transformer at a power factor of 0.8 lagging. b. Find the efficiency of this transformer at full load, 0.8 power factor lagging. c. Ifstandard open-circuit and tests were performed on this transformer, what would be the measured values of these tests?
6.5% ans ex A so kvA. 2o00/20 V, So He single-phase transformar has impedance drof of8% and resistance drop of 4%. Caleulate. The Requlation of the Thams former at full- Load o8 P.s Legging. also find The Power factor at which Voltage requlation will Be Zero. Sols 0.5 leading. s alculate The % Noltege Requlation af atransformar in w hich the Percantage resistance drof is 1% and Percentage dre is 6% when The Power fador is 0.8 lagging ) > unity aMS 38 % ans 1 % (シ→ 0.8 leading . amS - 2.2%
Two transformersA and B are connected in parallel to a load of (2+j1.5) ohm.Their impedances in Secondary terms ZA = (0.15+j0.8) ohm and Zb = (0.1+j30.6)ohm Their no-load termind voltages are EA=200<0 V and EB=210<0 Volt.Find the power and Power factor of each transformer? %3D %3D
figure the S-parameters for an ideal transformer with turn ratio N = N1:N2 where N1 is the no.of turns of the primary winding and N2 is the no. of turns of the secondary winding.
Describe the star-delta connection configuration types in three phase transformers and their necessity by drawing and writing. Thank you very much if you answer.