How is the Square Root of Three Factor Derived in a Three Phase Generator?

In summary, the (square root of three) factor in a three phase generator can be derived by drawing the three equally spaced voltage phases in an equilateral triangle and finding the ratio of side lengths in a right triangle that bisects the triangle.
  • #1
darkmagic
164
0

Homework Statement



Can someone tell me how the (square root of three) factor is derived in a three phase generator?

Homework Equations


The Attempt at a Solution

 
Last edited:
Physics news on Phys.org
  • #2
Can someone show me the derivation?
 
  • #3
darkmagic said:

Homework Statement



Can someone tell me how the (square root of three) factor is derived in a three phase generator?

Homework Equations





The Attempt at a Solution


If you draw the three equally spaced voltage phases like in this diagram:

http://images.google.com/imgres?img...N&rlz=1T4GGLL_enUS301US302&ndsp=18&tbs=isch:1

You can see the they form equilateral triangles. What is the ratio of side lengths in a right triangle that bisects an equilateral triangle?
 

Related to How is the Square Root of Three Factor Derived in a Three Phase Generator?

1. What is the three phase system?

The three phase system is a type of electrical power distribution that uses three alternating currents that are offset by 120 degrees, providing a more efficient and balanced distribution of power.

2. How does the three phase system work?

The three phase system works by using three separate phases of AC power, each with its own voltage and current, that are combined to create a more stable and efficient power supply. The three phases are delivered through three separate conductors, making it possible to power larger loads than with a single phase system.

3. What is a factor in the three phase system?

A factor in the three phase system refers to the power factor, which is the ratio of real power to apparent power. A power factor of 1 means all the power is being used effectively, while a power factor less than 1 indicates that some power is being wasted.

4. How does the factor affect the three phase system?

The factor in the three phase system affects its efficiency and performance. A low power factor means the system is not using power effectively and can lead to increased energy costs. It can also cause problems with voltage regulation and equipment overheating.

5. How can the factor in the three phase system be improved?

The factor in the three phase system can be improved by implementing power factor correction, which involves adding capacitors to the system to reduce the amount of reactive power and improve the power factor. Proper maintenance and balancing of loads can also help improve the power factor.

Similar threads

  • Engineering and Comp Sci Homework Help
Replies
4
Views
2K
  • Electrical Engineering
Replies
3
Views
695
  • Engineering and Comp Sci Homework Help
Replies
1
Views
3K
  • Engineering and Comp Sci Homework Help
Replies
3
Views
2K
  • Engineering and Comp Sci Homework Help
Replies
2
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
6
Views
3K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
4
Views
2K
Back
Top