Calculating Transformer Input Voltage?

In summary, the problem involves a 2400/240-V, 60-Hz transformer with high-side and low-side leakage impedances and a specified Xm at the high-side. The goal is to calculate the input voltage when the output voltage is 240 V (rms) and the load is 1.5Ω at a power factor of 0.9 (lagging).
  • #1
Loppyfoot
194
0

Homework Statement


A 2400/240-V, 60-Hz transformer has the following parameters in the equivalent circuit of Figure 6.5: the high-side leakage impedance is (1.2+j2.0)Ω, the low-side leakage impedance is (0.012+j.02)Ω, and Xm at the high-side is 1800 . Neglect Rhe. Calculate the input voltage if the output voltage is 240 V (rms) and supplying a load of 1.5 at a power factor of 0.9 (lagging).



The Attempt at a Solution


No idea how to begin.
 
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  • #2
Draw up your equivalent circuit and solve for Vin.

While you're at it, is Xm = 1800 in ohms or henrys? And what about " .. a load of 1.5 ..."? Units of 1.5?
 
  • #3
The load is 1.5Ω, and Xm is also in Ω.
 
  • #4
Show us your equivalent circuit?

1.5 ohms is a very large load. You sure about it? If so, what component do you need to add to the load resistor to make the total impedance 1.5 ohms? (Or, what component needs to be added to the 1.5 ohm resistive load? I'm not sure which is the case here).
 
Last edited:
  • #5
Loppyfoot said:

Homework Statement


A 2400/240-V, 60-Hz transformer has the following parameters in the equivalent circuit of Figure 6.5: the high-side leakage impedance is (1.2+j2.0)Ω, the low-side leakage impedance is (0.012+j.02)Ω, and Xm at the high-side is 1800 . Neglect Rhe. Calculate the input voltage if the output voltage is 240 V (rms) and supplying a load of 1.5 at a power factor of 0.9 (lagging).



The Attempt at a Solution


No idea how to begin.

It is not a valid schoolwork thread starter to show zero work in your OP. Please check your PMs, and then show some effort in this thread where you are receiving hints & help...
 

1. How do I calculate the input voltage for a transformer?

To calculate the input voltage for a transformer, you need to know the transformer's turns ratio and the output voltage. The input voltage can be calculated by multiplying the output voltage by the turns ratio. For example, if the turns ratio is 2:1 and the output voltage is 120 volts, the input voltage would be 240 volts.

2. What is the turns ratio of a transformer?

The turns ratio of a transformer is the ratio of the number of turns in the primary winding to the number of turns in the secondary winding. It is used to determine the voltage transformation between the primary and secondary sides of the transformer.

3. How does the input voltage affect the output voltage of a transformer?

The input voltage of a transformer is directly proportional to the output voltage. This means that if the input voltage increases, the output voltage will also increase in the same proportion. Similarly, if the input voltage decreases, the output voltage will decrease in the same proportion.

4. Can I use the input voltage to control the output voltage of a transformer?

No, the input voltage cannot be used to control the output voltage of a transformer. The input voltage is determined by the turns ratio and cannot be changed without altering the transformer's physical properties. However, you can use a voltage regulator to control the output voltage of a transformer.

5. How do I know if the input voltage is too high for a transformer?

If the input voltage is too high for a transformer, it can cause the transformer to overheat and potentially damage it. To determine if the input voltage is too high, you can calculate the maximum input voltage using the transformer's specifications and compare it to the actual input voltage. If the actual input voltage is higher than the maximum, it is too high for the transformer.

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