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hot_sauce
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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 said:now, are you asking what the equations are? or are you asking how did we ever come up with the equations to begin with??
berkeman said:
noumed said: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.
The mathematical equation for a transformer is V1/V2 = N1/N2, where V1 and V2 are the voltages of the primary and secondary coils, and N1 and N2 are the number of turns in the primary and secondary coils, respectively.
The transformer equation is derived from the principle of conservation of energy, which states that energy cannot be created or destroyed. In a transformer, the input power (V1*I1) must equal the output power (V2*I2), and since power is equal to voltage times current, we can equate the two equations and solve for V1/V2.
The variables in the transformer equation represent different properties of the transformer. V1 and V2 represent the voltages of the primary and secondary coils, respectively. N1 and N2 represent the number of turns in the primary and secondary coils, respectively. And I1 and I2 represent the currents flowing through the primary and secondary coils, respectively.
Yes, the transformer equation can be used for all types of transformers, including step-up, step-down, and isolation transformers. However, in some cases, additional factors such as core losses and winding resistance may need to be taken into account.
The transformer equation is important because it allows us to calculate the voltage, current, and turns ratio of a transformer. This information is essential for designing and analyzing transformer systems, which are crucial for power distribution and electrical systems.