Guys, I have a question regarding a mathematical equation of a transformer

[hot_sauce]

I have been trying to figure it out, but nothing seems to help. my question is simple, how are we able to derive a mathematical equation of a transformer for convesion of Delta connection to star or star to delta ?

 

[noumed]

now, are you asking what the equations are? or are you asking how did we ever come up with the equations to begin with??

 

[hot_sauce]

now, are you asking what the equations are? or are you asking how did we ever come up with the equations to begin with??

im asking what the equation is.

 

[noumed]

Assuming a balanced three-phase circuit,

http://www.texify.com/img/%5Cnormalsize%5C%21%7CV_%7Bab%7D%7C%20%3D%20%5Csqrt%7B3%7D%20%7CV_%7Ban%7D%7C.gif

Where http://www.texify.com/img/%5Cnormalsize%5C%21%7CV_%7Bab%7D%7C.gif is the magnitude of the line-to-line voltage on a Delta connection, and http://www.texify.com/img/%5Cnormalsize%5C%21%7CV_%7Ban%7D%7C.gif is the magnitude of the line-to-neutral voltage on a Wye(star) connection.

 

[berkeman]

im asking what the equation is.

http://en.wikipedia.org/wiki/Y-delta_transform

.

 

[hot_sauce]

http://en.wikipedia.org/wiki/Y-delta_transform

.

Assuming a balanced three-phase circuit,

http://www.texify.com/img/%5Cnormalsize%5C%21%7CV_%7Bab%7D%7C%20%3D%20%5Csqrt%7B3%7D%20%7CV_%7Ban%7D%7C.gif

Thats it ?

Where http://www.texify.com/img/%5Cnormalsize%5C%21%7CV_%7Bab%7D%7C.gif is the magnitude of the line-to-line voltage on a Delta connection, and http://www.texify.com/img/%5Cnormalsize%5C%21%7CV_%7Ban%7D%7C.gif is the magnitude of the line-to-neutral voltage on a Wye(star) connection.

Thanks for the help guys. This question was in my MID., it was a bonus question, either way I did not attempt it :( Just wanted to know

Thank you :)