How to work out the turn ratio on a transformer

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SUMMARY

The turn ratio of a transformer can be calculated using the formula N = Vp/Vs, where N is the turns ratio, Vp is the primary voltage (rms), and Vs is the secondary voltage (rms). In practice, the turns ratio is typically about 2% higher than the calculated value due to losses. For improved accuracy, it is recommended to use a primary voltage that is approximately 10% of the rated voltage. Transformers can be categorized into step-up transformers (SUT) with a turns ratio greater than 1 and step-down transformers (SDT) with a turns ratio less than 1.

PREREQUISITES
  • Understanding of transformer principles
  • Knowledge of voltage measurements (rms)
  • Familiarity with electrical formulas
  • Basic concepts of transformer types (SUT, SDT)
NEXT STEPS
  • Research the calculation of output voltage based on input voltage using transformer formulas
  • Explore the differences between step-up and step-down transformers
  • Learn about various transformer types, including autotransformers and isolation transformers
  • Study the impact of winding losses on transformer efficiency
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Electrical engineers, students in electrical engineering, and professionals working with transformers and power systems will benefit from this discussion.

speedy46
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I would like to know how to work out the turn ratio on a transformer from having just the input and output voltages.
 
Last edited:
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For an ideal transformer (that is, no losses in the windings or in the core), the turns ratio is just N = Vp/Vs where
N = turns ratio
Vp = primary Voltage (rms)
Vs = secondary Voltage (rms)

In real transformers, the turns ratio will be slightly higher (typically about 2%) than what is calculated by this formula. One way to improve the accuracy of the calculation is to use a primary Voltage that is only about 10% of the rated Voltage.
 
For example = 244 / 9.88 = 24.6

So the turn ratio is 24 - 6
 
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There are two types of transformers,step-up transformer(sut) and step-down transformer(sdt),the turns ratio for (sut)is bigger than 1 and for (sdt) is less than 1.
 
speedy46 said:
For example = 244 / 9.88 = 24.6

So the turn ratio is 24 - 6

what? isn't it 246 to 10? or 24.6 to 1?
 
ws0619 said:
There are two types of transformers,step-up transformer(sut) and step-down transformer(sdt),the turns ratio for (sut)is bigger than 1 and for (sdt) is less than 1.

There are quite a few more types of transformers than just step-up and step-down (e.g. autotransformers, buck-boost, isolation).

CS
 
Thank you

How do you calculate the out put voltage of a transformer when you only know the input voltage
 
speedy46 said:
Thank you

How do you calculate the out put voltage of a transformer when you only know the input voltage

its based on the ratio as stated
 
Is there a formula for working this out please
 
  • #11
The formula is in post #2. But, you can only solve for one unknown when you have only one equation. If you don't know the turns ratio, you must measure the primary and secondary Voltages.
 
  • #12
thank you
 

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