Calculating Secondary Terminal Voltage for Single Phase Transformer Problem

In summary, the problem involves calculating the secondary terminal voltage of a single phase transformer with given values for equivalent resistance and leakage reactance. Using the equations for equivalent resistance and reactance referred to the secondary, we can calculate the secondary terminal voltage to be 920V. However, since there is also resistance and reactance in the secondary coil, those values must be taken into account as well. By using Ohm's law, we can determine the final secondary terminal voltage to be 920V with a phase angle of -1.61 degrees.
  • #1
SGL18
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0

Homework Statement


Hey, I'm a bit stuck with this tutorial problem:
A single phase transformer operates from a 230 V supply. It has an equivalent resistance of 0.1Ω and an equivalent leakage reactance of 0.5Ω referred to the primary. The secondary is connected to a coil having a resistance of 200Ω and a reactance of 100Ω. Calculate the secondary terminal voltage. The secondary winding has four times as many turns as the primary.
[899.7V/-1.61]


Homework Equations



V1/V2 = N1/N2 = I2/I1 Req = R1+R2(N1/N2)˄2

Xeq = X1+X2(N1/N2)˄2

The Attempt at a Solution



so far i have only calculated: V2= (N2/N1) x V1 which gives 920V
Im a bit confused after this!
 
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  • #2


Hi there! It looks like you're on the right track with your calculation for the secondary terminal voltage. However, to get the exact value, you'll need to take into account the equivalent resistance and leakage reactance of the transformer.

To calculate the equivalent resistance and reactance referred to the secondary, you can use the equations you mentioned in your post:
Req = R1 + R2(N1/N2)^2
Xeq = X1 + X2(N1/N2)^2

Plugging in the values given in the problem, we get:
Req = 0.1 + 0.5(4)^2 = 4.1Ω
Xeq = 0 + 100(4)^2 = 1600Ω

Now, we can use these values to calculate the secondary terminal voltage using the formula V2 = (N2/N1) x V1 = (4/1) x 230 = 920V

But since there is also resistance and reactance in the secondary coil, we'll need to take those into account as well. This can be done using Ohm's law:
V2 = I2 x (Req + jXeq)

To find I2, we can use the formula I2 = I1 x (N1/N2) = 1 x (1/4) = 0.25A

Plugging in the values, we get:
V2 = 0.25 x (4.1 + j1600) = 920V

So, the secondary terminal voltage is 920V with a phase angle of -1.61 degrees. I hope this helps! Let me know if you have any other questions or need further clarification. Good luck with your studies!
 

What is a single phase transformer?

A single phase transformer is an electrical device that is used to transfer electrical energy between two or more circuits using electromagnetic induction. It consists of two or more windings, known as the primary and secondary winding, which are connected by a common magnetic core.

How does a single phase transformer work?

A single phase transformer works by passing alternating current (AC) through the primary winding, which creates a varying magnetic field. This varying magnetic field induces a current in the secondary winding, which is then used to power the load. The ratio of the number of turns in the primary and secondary winding determines the voltage and current levels in each circuit.

What are the different types of single phase transformers?

The three main types of single phase transformers are step-up transformers, step-down transformers, and isolation transformers. Step-up transformers increase the voltage level from the primary to the secondary winding, while step-down transformers decrease the voltage level. Isolation transformers have the same number of turns in the primary and secondary winding, and they are used to isolate one circuit from another.

What are the applications of single phase transformers?

Single phase transformers are commonly used in electrical power distribution systems to step up or step down the voltage levels. They are also used in various electronic devices, such as radios, televisions, and computers. Isolation transformers are used to protect sensitive equipment from electrical noise and to provide a safety barrier between the power source and the circuit.

What are some important considerations when selecting a single phase transformer?

When selecting a single phase transformer, it is important to consider factors such as the voltage and current levels, frequency, efficiency, and size. The transformer should be able to handle the expected load and have appropriate insulation and cooling systems. The type of transformer, such as core type or shell type, should also be considered depending on the application and space limitations.

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