Calculate KVA Rating for 12kW Load at 0.8 Lag

  • Thread starter Thread starter tobiascarter
  • Start date Start date
  • Tags Tags
    Calculation Rating
Click For Summary

Discussion Overview

The discussion revolves around calculating the KVA rating required for an alternator connected to a 12kW load operating at a power factor of 0.8 lag. The scope includes mathematical reasoning and conceptual clarification regarding apparent power and power factor.

Discussion Character

  • Mathematical reasoning
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant asks for assistance in calculating the KVA rating for a 12kW load at a 0.8 lag power factor, expressing uncertainty about the formula to use.
  • Another participant questions what limits the power output of the alternator, suggesting that current is a limiting factor due to heat generation.
  • A participant proposes that apparent power can be calculated using the formula: Apparent power = True power / Power factor, assuming true power is 12kW, leading to a calculation of 15kVA.
  • Another participant suggests that the question may be a trick question, indicating that the multiple-choice options include apparent power as a potential answer.
  • One participant asserts that 15kW is correct, which appears to contradict the earlier calculation of 15kVA.
  • A later reply references the 'power triangle' to explain the relationship between power, current, and power factor, although this may not clarify the confusion for all participants.

Areas of Agreement / Disagreement

Participants express differing views on the correct interpretation of the question and the appropriate calculation method. There is no consensus on whether the answer is 15kVA or another option from the multiple-choice answers.

Contextual Notes

The discussion includes assumptions about the definitions of true power and apparent power, as well as the implications of power factor on current and heat generation. Some mathematical steps remain unresolved, particularly regarding the interpretation of the multiple-choice answers.

Who May Find This Useful

This discussion may be useful for individuals studying electrical engineering concepts, particularly those interested in power calculations and the implications of power factor in alternators.

tobiascarter
Messages
5
Reaction score
0
Hi there,

Can some one assist me as to how to answer this question...

An alternator is connected to a 12kw load and operating at a power factor of 0.8 lag. what is the kva rating of the alternator required to drive the load?

i don't know what formula to use so Any help would be great. cheers
------------------------------
 
Physics news on Phys.org
What limits the power output of your alternator?
 
it doesn't say? this is why i don't understand? is it asking what the apparent power value is? if so...
Apparent pwr= true power/ power factor

is true power 12kw?
if so...

12000/0.8= 15000va
=15kva

does that seem right?
 
You've been givena 'trick' quesiotn. The limiting factor in a simple alternator is the current. Current generates heat. Heat causes things to fail. How does the current change with the power factor for a linear load? When the load is linear the current and voltage are still sinusoidal.
 
thanks for the responses, but the last one lost me. I am very ammature when it comes to this stuff.

Its actually a multiple choice question with the answers being...
a)15kw
b)apparent power
c)2w
d)3000w
e)11000va

my guess is apparent power. and i think (a) is there to trick you, as the above calculation comes to 15kva

what do you think?

thanks again
 
Sorry to throw you in the wrong direction. 15kw is correct.
 
If you can remember trigonometry, that is the reasoning behind maths that applies here, as per the 'power triangle' (attached).
 

Attachments

  • Power Triangle.JPG
    Power Triangle.JPG
    10.5 KB · Views: 538

Similar threads

Replies
10
Views
5K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 1 ·
Replies
1
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 10 ·
Replies
10
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K