Loading...

Messages

Proposals

Stuck in your homework and missing deadline? Get urgent help in $10/Page with 24 hours deadline

Get Urgent Writing Help In Your Essays, Assignments, Homeworks, Dissertation, Thesis Or Coursework & Achieve A+ Grades.

Privacy Guaranteed - 100% Plagiarism Free Writing - Free Turnitin Report - Professional And Experienced Writers - 24/7 Online Support

Phasor diagram of transformer for leading power factor

17/11/2021 Client: muhammad11 Deadline: 2 Day

Example 2-5:

A 15-kVA, 2300/230-V transformer is to be tested (short circuit & open circuit tests as shown

below) to determine its excitation branch components, its series impedances, and its voltage

regulation (See figures below):

+ +

!" !# $# $"

2300V 230V

+ +

!%& !# $# $"

2300V 230V

'%&

()*

+

!+* $# $"

2300V 230V

'"&

()*

The following test data have been taken from the transformer:

Open-circuit test

(High voltage side open)

Short-circuit test

(Low voltage side shorted)

,!-. = 230,! !/. = 47,!

'-. = 215,6 '/. = 810,6

(-. = 90,: (/. = 580,:

(a) --- Find the equivalent circuit for this transformer referred to the high-voltage side.

(b) --- Find the equivalent circuit for this transformer referred to the low-voltage side.

(c) --- Calculate the full-load voltage regulation at 0.8 lagging power factor, unity power factor & at

0.8 leading power factor using the exact equation for,!; --- Do a phasor diagram for each case

(d) --- Plot the voltage regulation as load is increased from no-load to-full load at power factors of

0.8 lagging, unity, and 0.8 leading.

(e) --- Find the efficiency of the transformer at full load with a power factor of 0.8 lagging

45

Solution --- The figure at left & the eq’s are repeated from previous page(s):

+ +

!%& !# $# $"

2300V 230V

'%&

()*

<" >"

>?

@2

'%&

!%&

+

(%&

<*

@2

<#

@2

>#

@2

'%&

!%&

+

(%&

>?

@2

<*

@2

15 KVA, 2300/230-V (Transformer Rating) --- [ !-. = 230,!A '-. = 215,6A (-. = 90,:]

----------------------------------------------------------------------------------------------------------------------------------

(a) --- Find the equivalent circuit of this transformer referred to the high-voltage side:

From the figures at left, we have:

@ = 2300B230 = 50 (The turn-ratio or, the voltage-ratio)

Use the OC-test to find the shunt parameters:

· The figure above (middle) shows the circuit for the OC-test case

· The figure above (right) shows the approximate circuit for the OC-test case --- Using this circuit:

C-. = cos DE ;FG

HFG,I ! = cos"#

$%&'

()*%&+,().#&-, = 84°

/0 = |1 !&|

|+ !| &&2 3 567 --- The excitation admittance or, the shunt admittance

= ).#&-

)*%&+ 2 3 84°&9 = :.::;<>&2 3 84°&9 = :.:::;?4 3 @:.::;:8&9 = &ABCD 3 @EFCD

G

HBCD = #

IJCK =

#

%.%%%L$M = <:?:&N --- The value of&HB referred to the secondary

OFCD = #

PQCK =

#

%.%%L%R = <<:&N --- The value of&OF referred to the secondary

46

Solution [Continued] --- The first two figures and the eq’s are repeated from previous page(s):

+

3 S9T UV UW

2300V 230V

XWY

Z[T

HV @OV \2HW @\2OW

@O] HY

XV

SV

3

+

XW

\

H^_V @O^_V XV

SV

3

+

XW

\

\ = `>::a`>: = <:

15 KVA, 2300/230-V --- Transformer Rating

[Sb7 = 4d&S , Xb7 = e.:&f , Zb7 =

----------------------------------------------------------------------------------------------------------------------------------

(a) --- Find the equivalent circuit of this transformer referred to the high-voltage side [Continued]:

Use the SC-test to find the series parameters:

· The figure above (middle) shows the circuit for the SC-test case

· The figure above (right) shows the approximate circuit for the SC-test case --- Using this circuit:

5b7 = cos "# hi!

+i!&1i! = cos"#

#j%&'

(Mk&+,(j&-, = ??.4° --- The series impedance angle

lb0 = &|+i!&|

|1i!| &25b7 --- The equivalent series impedance

= Mk&+2$$.M°&

j&- = d.8>>2??.4° = 4.4? m @e.4?&N = HnpCh m @OnpCh

G

HnpCh = 4.4?&N & OnpCh = e.4?&N --- The series elements referred to the primary side

47

Solution [Continued] --- The first figure & the eq’s are repeated from previous page(s):

+ +

3 3

SW SV UV UW

2300V 230V

\ = `>::a`>: = <:

H7Cb = <:?:&N & OFCb = <<:&N (The values are of referred to the secondary)

HnpCh = 4.4?&N & OnpCh = e.4?&N (The values are of referred to the primary)

----------------------------------------------------------------------------------------------------------------------------------

(a) --- Find the equivalent circuit of this transformer referred to the high-voltage side [Continued]:

· Next, we need to bring the shunt elements to the primary (or, high-voltage) side:

H7Ch = \ )&H7Cb = (<:,

)(<:?:&N, = <:?&qN & OFCh = \ )&OFCb = (<:,

)(<<:&N, = <<&qN

· This equivalent circuit is shown in figure above, middle

(b) --- Find the equivalent circuit of this transformer referred to the low-voltage side (secondary):

· We have previously found the shunt components referred to secondary and the series

components referred to primary --- See above

· So, in order to find the model referred to secondary, we need to refer the series components

to the secondary as follows:

HnpCb = rtuCv

&wx =

. !"#

"($%)& = 0.0445"' & *+,-/ =

123-6 "7&

= 8. !"# "($%)&

= 0.0945"'

The resulting equivalent circuit is shown in figure above, right.

48

Solution [Continued] --- Repeated from previous page(s):

+ +

: :

;< ;> ?> ?<

2300V 230V

15 KVA, 2300/230-V Referred to primary Referred to secondary

;@ = A6 7B CAD-EF

AD-EF × G00

----------------------------------------------------------------------------------------------------------------------------------

(c) --- Calculate the full-load voltage regulation at 0.8 lagging power factor, unity power factor, and

at 0.8 leading power factor:

H/-I7J+K = /LMN2O AD-LMN2O

= $!-%%%"AP QR%"A

= 95.S"T (The magnitude of the full-load current on secondary side)

UV = "0.W (Lagging): H/ = |H/|"X : YZ

A6 7 = ;/ ^ @+,H/ ^ _*+,H/ --- ;/ = S\0X0°"; (Full-load secondary voltage)

= S\0X0°"; ^ (0.0445"')`95.SX : \9.]°"Ta ^ _(0.0945"')`95.SX : \9.]°"Ta = S\0X0°"; ^ S.]0X : \9.]°"; ^ 4.SGX5\.G°"; = S\0 ^ S.\S : _G.b4 ^ S.5S ^ _\.\9 = S\4.W4 ^ _G.9S = S\4.W5X0.40° (Full-load primary voltage, referred to secondary) Now,

;@ = A6 7B CAD-EF

AD-EF × G00 = QR .c!"ACQR%"A

QR%"A × G00d = S.Gd (The voltage regulation)

49

Solution [Continued] --- Repeated from previous page(s): 15 KVA, 2300/230-V (Transformer Rating)

+ +

: :

;< ;> ?> ?<

2300V 230V

----------------------------------------------------------------------------------------------------------------------------------

(c) --- Calculate the full-load voltage regulation at 0.8 lagging power factor, unity power factor, and

at 0.8 leading power factor [Continued]:

UV = "G (Unity): H/ = |H/|"X : YZ

= S\0X0°"; ^ S.]0X0°"; ^ 4.SGX]0° = S\0 ^ S.]0 ^ _4.SG = S\S.] ^ _4.SG = S\S.]4XG.04° [ ;@ =

A6 7B CAD-EF AD-EF

× G00"" = QRQ.g "ACQR%"A QR%"A

× G00d = G.SWd (The voltage regulation)

UV = "0.W (Leading): H/ = |H/|"X ^ YZ

A6 7 = S\0X0°"; ^ (0.0445"')`95.SX\9.]°"Ta ^ _(0.0945"')`95.SX\9.]°a

= S\0X0°"; ^ S.]0X\9.]°"; ^ 4.SGXGS9.]°"; = S\0 ^ S.\S ^ _G.S4 : S.5S ^ _\.\9 = SS].W0 ^ _5.G0 = SS].W5XG.Sb°"; [ ;@ =

A6 7B CAD-EF AD-EF

× G00""" = QQg.c!"ACQR%"A QR%"A

× G00d = :0.09Sd (The voltage regulation)

50

Solution [Continued] --- Repeated from previous page(s): 15 KVA, 2300/230-V (Transformer Rating)

+ +

: :

;< ;> ?> ?<

2300V 230V

----------------------------------------------------------------------------------------------------------------------------------

(c) --- Calculate the full-load voltage regulation at 0.8 lagging power factor, unity power factor, and

at 0.8 leading power factor --- Do a phasor diagram for each case:

A6 7 = ;/ ^ @+,H/ ^ _*+,H/ --- Using the figure above at right

· We have all components of the above equation (as shown in the above figure, right)

· We also, found the currents for the 3 cases of 0.8 lagging power factor, unity power factor,

and 0.8 leading power factor

· Using these values, we simply show the above equation using phasors --- Each of these three

phasor diagrams is shown in figures below:

51

Solution [Continued] --- Repeated from previous page(s):

+ +

: :

;< ;> ?> ?<

2300V 230V

----------------------------------------------------------------------------------------------------------------------------------

(d) --- Plot the voltage regulation as load is increased from no-load to-full load at power factors of

0.8 lagging, unity, and 0.8 leading:

The best way to plot the voltage regulation as a function of load is to repeat the calculations

presented in part (c) for many different values of the loads by writing a MATLAB program (See

your text) --- The plot produced by this program is shown in figure below:

;@ = A6 7 B CAD AD

× G00 ---

· Can you interpret these curves?

· Do this part and submit a report (See Design 1)

52

Solution [Continued] --- Repeated from previous page(s): 15 KVA, 2300/230-V (Transformer Rating)

+ +

: :

;< ;> ?> ?<

2300V 230V

H/ = 95.S"X : \9.]°"T (Full-load current for the case of power factor of 0.8 lagging)

h = eijN eFikkl !"#

× 100% = !"#

( $"& '!)*+& !"# × 100% --- The efficiency at this condition

----------------------------------------------------------------------------------------------------------------------------------

(e) --- Find the efficiency of the transformer at full load with a power factor of 0.8 lagging:

To find the transformer efficiency of the transformer, we calculate its output power and

its losses --- Using the circuit at right:

,-. = |/2| 3456 = (789:;<+

3(090>>8;?+ = 1@A;B (The copper losses)

,-CD5 = ;|EF GH |

I

J$

KI

= (3LM9NO;E+I

PQOQ;R = 8:98;B (The core losses)

,S.T = |U2||/2|;,V (The output power of the transformer at this power factor)

= (:W0;U+(789:;<+09@ = 1:X000;B

Finally, the efficiency is:

Y = Z"#

( $";&; $!)*+;&; Z"# × 100% =

P3XQQQ;[

(PN\;[;&;O39O;[+;&;P3XQQQ;[ × 100% = A@90W%

53

Design 1 [Due next week today]:

This design is related to the previous example problem --- Figures below are repeated:

+ +

] ]

Û U_ _̀ ^̀

2300V 230V

----------------------------------------------------------------------------------------------------------------------------------

(1) --- Plot the voltage regulation of the transformer as its loading is increased from no-load to full-

load at power factors of 0.8 lagging, unity, and 0.8 leading --- This is part (d) of the previous

example problem (You should plot the 3 curves in one graph for easy comparison)

(2) --- Plot the efficiency of the transformer as its load is increased from no-load to-full load at

power factors of 0.8 lagging, unity, and 0.8 leading --- This is part (e) of the previous example

problem, but extended to include the various loading as well as loads with the unity, and

leading power factors (You should plot the 3 curves in one graph for easy comparison)

(3) --- Prepare a report including: a summary of the problem, your MATLAB code, the plots and an

engineering conclusion derived from each of the plots

(4) --- The report should be submitted to me via email (Gradman@TNTech.edu) in one PDF-file and

the file should be named as follows:

Your class no -- Your last name -- Design 1 -- ECE 3610 -- Summer 2017

For example, assume my number is 99 --- Then, I will name my PDF-file as follows:

99 -- Radman -- Design 1 -- ECE 3610 -- Summer 2017

Homework is Completed By:

Writer Writer Name Amount Client Comments & Rating
Instant Homework Helper

ONLINE

Instant Homework Helper

$36

She helped me in last minute in a very reasonable price. She is a lifesaver, I got A+ grade in my homework, I will surely hire her again for my next assignments, Thumbs Up!

Order & Get This Solution Within 3 Hours in $25/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 3 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

Order & Get This Solution Within 6 Hours in $20/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 6 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

Order & Get This Solution Within 12 Hours in $15/Page

Custom Original Solution And Get A+ Grades

  • 100% Plagiarism Free
  • Proper APA/MLA/Harvard Referencing
  • Delivery in 12 Hours After Placing Order
  • Free Turnitin Report
  • Unlimited Revisions
  • Privacy Guaranteed

6 writers have sent their proposals to do this homework:

Accounting & Finance Specialist
Academic Mentor
Engineering Help
Quality Homework Helper
Supreme Essay Writer
Math Specialist
Writer Writer Name Offer Chat
Accounting & Finance Specialist

ONLINE

Accounting & Finance Specialist

I have read your project details and I can provide you QUALITY WORK within your given timeline and budget.

$31 Chat With Writer
Academic Mentor

ONLINE

Academic Mentor

I am an experienced researcher here with master education. After reading your posting, I feel, you need an expert research writer to complete your project.Thank You

$41 Chat With Writer
Engineering Help

ONLINE

Engineering Help

I am an elite class writer with more than 6 years of experience as an academic writer. I will provide you the 100 percent original and plagiarism-free content.

$40 Chat With Writer
Quality Homework Helper

ONLINE

Quality Homework Helper

I find your project quite stimulating and related to my profession. I can surely contribute you with your project.

$23 Chat With Writer
Supreme Essay Writer

ONLINE

Supreme Essay Writer

I find your project quite stimulating and related to my profession. I can surely contribute you with your project.

$29 Chat With Writer
Math Specialist

ONLINE

Math Specialist

I will be delighted to work on your project. As an experienced writer, I can provide you top quality, well researched, concise and error-free work within your provided deadline at very reasonable prices.

$39 Chat With Writer

Let our expert academic writers to help you in achieving a+ grades in your homework, assignment, quiz or exam.

Similar Homework Questions

Week6 assign eco - C# multiple choice questions and answers - Diet coke product life cycle - A Pay Model - Spotify ipo method - Sociology - Shadow health neurological assessment documentation - Stata graph schemes download - Adding and subtracting pronumerals - Mill park high school - Worksheet 7.2 rates of reaction answers - Eulogy for father in law - Example of e commerce assignment - Name three specific consequences of the boston busing crisis - Victorian premier reading challenge - 100 Positive reply with 3 references due tomorrow - Ids 100 project 2 kwl chart special education - Www brighthub com science genetics articles - Math lab notebook - Zbigniew karas us financial ltd - 4/1 - Urgent 6 - A leap into history reading answers - The full disclosure principle dictates that - Advantages and disadvantages of sum of years digits depreciation - Dr david badov gastroenterologist - Dr andrew dennis mcbride - Trinity mindset - Trigonometry test - Blanket warmer temperature guidelines joint commission - Www swingers openmarriagesnatural legalizepolygamy org - Land transport rule vehicle dimensions and mass 2002 - How to calculate euac in excel - Discussion response - Discussion - Solve the inequality 4x 1 11 - Bd vacutainer order of draw - Aftab iqbal family background - La trobe exam timetable 2021 - A 1500 kg car skids to a halt on a wet road where μk = 0.53. - Mount remarkable national park accommodation - CHRISTIAN SERVANT LEADERS - Summary and reflection epq - My father as a guitar - Individual tax return problem 3 rhonda hill - Human impact on the environment poster - Contexts project essay - Advantages and disadvantages of balsa wood - Employee class python - ACCOUNTING/FINANCE d2 - International business competing in the global marketplace 13th edition - Holes quiz chapters 1 5 - I am a hard working person - They say i say chapter 7 exercise answers - Chapter review test 4th grade - Positive and negative characteristics of a criminal investigator - Velocity time graph worksheet - Review the primary source document listed below. Write an analysis essay of at least 250 words but no more than 500 words. In terms of page count, your analysis essay should be at least one page double spaced, but no more than two pages doubled spaced. - Historical fiction ancient greece - A4-70 stainless steel bolt torque - How to make a parachute out of a grocery bag - Essay topics year 7 - Explain nursing as a profession - Dd - Ieee conference template a4 latex - Offer and acceptance form - Hcs 490 communication strategy - Essay - Ibm case study strategic management - Large herbivorous dinosaur crossword 9 letters - Things fall apart citation - What is a merchandising operation - Partial and transitive dependency - Mole practice worksheet answers - Réponse nope quiz question 51 à 60 - Midwife led unit pontefract - English - Dominos marketing mix - Statistical inference casella berger solutions - Strategy and hrm at delta airlines - What is the diameter of a cd in cm - A rush to judgement case study answers - Chatham county building safety and regulatory services savannah ga - How wide is the nile river at its widest point - Emotive language persuasive technique - Assignment 2 analysis on food security - Compute the required sales in dollars to break even - Pylos combat agate hi res - How to get textbook answers for free - Freemind tutorial youtube - Enterprise Risk Management - Sox requirements for small companies - Pronouncing things in japanese vine - C3h8 o2 co h2o - Religion study - Speed distance time triangle - Under armour financial statements 2016 - Verbal and nonverbal communication and listening skills paper - Verilog Code - Create wii game walkthrough