Prepare for your exams
Get points
Guidelines and tips
Sell on Docsity
Docsity AI

Prepare for your exams

Study with the several resources on Docsity

Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips

Sell on Docsity

Docsity AI

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents

20 Points

For each uploaded document

Answer questions

5 Points

For each given answer (max 1 per day)

All the ways to get free points

Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Lab II Lecture Notes: Single Phase Power, Lab Reports of Electrical and Electronics Engineering

Drexel University Electrical and Electronics Engineering

Detailed lecture notes for a university lab session on single phase power, including calculations for finding voltage and current phasors, complex power, power angle, power factor, active and reactive power, and instantaneous power.

Typology: Lab Reports

Pre 2010

Uploaded on 08/19/2009

koofers-user-73p 🇺🇸

(1)

10 documents

1 / 16

This page cannot be seen from the preview

Don't miss anything!

uralsfs

uolleurJoJul

pue,(6Jau3:I-I'I '61

ilolj {breul

peol

lusld

,r,r0lJ u0llLuJJoJu

u0!lelsqn

lJ0,rl|aN

rrls!0

pue

lul

susJl

Jafiod

u0rlnq

u0rss

l0rlu03

peol

l0rlu03

u0!lelsqns

l0Jlu03

uals^s /aMod

l0rlu03

lueld

iamod

D. Niebur Lab II Lecture on Single Phase Power 8/9/2004

1 of 16

Discover Lab Reports of Electrical and Electronics Engineering Drexel University

Partial preview of the text

Download Lab II Lecture Notes: Single Phase Power and more Lab Reports Electrical and Electronics Engineering in PDF only on Docsity!

u r a l s f s u o l l e u r J o J u lp u e , ( 6 J a u 3 : I - I ' I

ilolj {breul

peol

l u s l d

,r,r0lJu0llLuJJoJuI

u0!lelsqn

t

I

lJ0,rl|aN

r r l s! 0p u e

lulsusJl

I

Jafiod

u0rlnq

u0rss

l0rlu03peol

l0rlu

u0!lelsqns

l0Jlu

uals^s /aMod

l0rlu

lueldiamod

8/9/2004 Lab II Lecture on Single Phase Power D. Niebur

1 of 16

.T l. ^ 0

r i l (^) : (^) - -. n ' r i a c u - j I

't cJ Uol a ;. ll., u,l L{,

(",1- zi

--tr"s xl

23 - s8 ,lt/

3 tu l

l " c ; ,. , ' -.. ,. i

i t " l l ( 6 t P , o. ,

t,- (^) A L! (^) lLr vh ', Il IJ',,.l (^) b U ' :! q i t f p^

t : j t I

PowerPlant

Slep{oivn

Tnnsfomer

PomrPlant

Slopup Translormer

CBOpen

Disirihrtion

Stalion

SecondaryDistdbution Syslom

PowetPlant

Stopdown

Transformer

PrltneryDislributionSystem

Bedoser MainFe€der

[t. !r," (^) 1 3 lI

. /! |' b o o! i t 6

6 ' I ot E 5

c

5 o .!

E

c I 5

d

Transmission

Substation

HighVollag€nolvroft

r

4
' r , i V t i l L '

FIGURE60.1 Electriccnergysystem:

D. Niebur Lab II Lecture on Single Phase Power 8/9/

2 of 16

Lab II-Examples

D. Niebur

Monday, August 9, 2004

Example 1.)

The following single phase circuit is given:

Z

Load

ZLine

I

v(t)

The time dependent ac voltage is

v  t   339. 4 cos t  60º V

The line impedance is

Z Line ^5 j 

and the load impedance is

Z Load  8. 66

Find

1. the voltage phasor V ,

2. the current phasor I ,

3. the time-dependent current signal i  t ,

4. the complex power S injected by the source,

5. the power angle of the complex power S

6. the power factor of the source power.

Is the power factor leading or lagging?

7. Compute the active and reactive power.

8. What power is consumed by the reactive line?

9. What power is consumed by the resistive load?

10. What is the instanteneous power?

11. What is the average instanteneous power?

Solution:

1. the voltage phasor V :

V max  339. 4 V 

| V | ^ V^ eff ^ V^ rms ^ V max /^2 ^ 339. 4/^2 ^ 240. 0

V  240 e j /3^ V

2. the current phasor I :

I  V

Z total

We thus have to find the total impedance of the circuit as the sum of 2 serial impendances Z line and Z Load and convert the complex impedance from cartesian to polar coordinates:

Z total  Z line  Z Load  8. 66  5 j  

| Z | ^ 8. 66^2 ^25  ^ 10. 000

angle  Z   arctan 5

 0. 523 6 rad  0. 5236  180/   30. 0º   /

I  V

Z total

A  24 ∡30º A

3. the time-dependent current signal i  t 

I max  (^) | I | 2 

i  t   I max cos t  angle  Z 

 24 2 cos t  30º

 33. 94 cos t  30º A

4. the complex power S injected by the source:

S  VI ∗^  240  24 ∡60º − 30º VA  5760 ∡30º VA

5. the power angle of the complex power S :

6. the power factor of the circuit.

p  t   v  t  i  t   240 2 cos t  60º  24 2 cos t  30º

 5760 2 2

cos t^ ^ 60º^ −^ t^ −^ 30º ^ cos t^ ^ 60º^ ^ t^ ^ 60º

 5760 cos30º  cos 2 t  120º

 5760 cos 1 6

  cos 4  60 t  2 3

 4988. 3  5760. 0 cos753. 98 t  2. 094 4

11. What is the average instanteneous power?

We have two ways to compute it:

a. P  T^1 

T p  t  dt

with T  (^22)   1201 

P  1

120 cos 1 6

  cos 4  60 t  2 3

 dt

Lab II Lecture Notes: Single Phase Power, Lab Reports of Electrical and Electronics Engineering

Related documents

Partial preview of the text

Download Lab II Lecture Notes: Single Phase Power and more Lab Reports Electrical and Electronics Engineering in PDF only on Docsity!

u r a l s f s u o l l e u r J o J u lp u e , ( 6 J a u 3 : I - I ' I

t

I

I

lJ0,rl|aN

I

I

I

Jafiod

l0Jlu

uals^s /aMod

1 of 16

l " c ; ,. , ' -.. ,. i

i t " l l ( 6 t P , o. ,

Slep{oivn

Tnnsfomer

Disirihrtion

Stalion

PowetPlant

Stopdown

Transformer

PrltneryDislributionSystem

Bedoser MainFe€der

c

E

d

Transmission

Substation

HighVollag€nolvroft

r

FIGURE60.1 Electriccnergysystem:

2 of 16

Lab II-Examples

D. Niebur

Monday, August 9, 2004

Example 1.)

Z

I

1. the voltage phasor V ,

2. the current phasor I ,

3. the time-dependent current signal i  t ,

4. the complex power S injected by the source,

5. the power angle of the complex power S

6. the power factor of the source power.

7. Compute the active and reactive power.

8. What power is consumed by the reactive line?

9. What power is consumed by the resistive load?

10. What is the instanteneous power?

11. What is the average instanteneous power?

1. the voltage phasor V :

2. the current phasor I :

I  V

I  V

A  24 ∡30º A

3. the time-dependent current signal i  t 

4. the complex power S injected by the source:

S  VI ∗^  240  24 ∡60º − 30º VA  5760 ∡30º VA

5. the power angle of the complex power S :

6. the power factor of the circuit.

11. What is the average instanteneous power?

a. P  T^1 

P  1

 48 ^1

 4988. 3 W

b. P  Re  S   4988. 3 W