What Power Values Are Used in Transformer Efficiency Calculations?

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Discussion Overview

The discussion revolves around the calculation of transformer efficiency, specifically the definitions and values of input and output power used in these calculations. Participants explore various factors that influence efficiency, including losses due to heating and power factor considerations.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant states that efficiency is calculated as output power divided by input power, questioning what specific power values should be used.
  • Another participant outlines several factors to consider in efficiency calculations, including self inductance, mutual inductance, core losses, copper winding losses, and secondary circuit losses.
  • It is mentioned that the overall efficiency formula is 100 x Pload/Pin, with Pin measured at the wall plug, raising the question of whether to consider real or reactive power.
  • A participant seeks clarification on whether audible vibrations from the transformer are included in the input or output power values.
  • Another response suggests that knowing the input and output currents and voltages allows for straightforward efficiency calculations, but emphasizes the need to account for losses analytically during the design process, noting that core losses are difficult to quantify.

Areas of Agreement / Disagreement

Participants express differing views on the specifics of what constitutes input and output power, as well as how to account for various losses in efficiency calculations. No consensus is reached on the definitions or methods for calculating these values.

Contextual Notes

Participants highlight the complexity of calculating core losses and the challenges in making accurate approximations, indicating that assumptions may vary based on the specific transformer design and operating conditions.

sgstudent
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When I calculate efficiency of a transformer, I use output power/imput power x100%. Then what are these power values? Is the power the power in a load or the total power coming out of the transformer (meaning it includes the joule heating)? Then also what about the input power, which values do I use? Thanks for the help!
 
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You need to consider any source of joule heating in the transformer, plus anything that creates a power factor <1. There are several classes of things you need to consider:

1) Self inductance and power factor (primary), and inductive (excitation current) losses.
2) mutual inductance (coupling efficiency to secondary circuit)
3) Core losses (eddy currents in laminations, hysteresis losses, magnetostriction*)
4) copper winding losses(I2R losses, primary and secondary, also eddy currents in copper)
5) secondary circuit losses (in load).

The overall efficiency is 100 x Pload/Pin, where Pin is measured at the wall plug. Are you talking about joule power (real) or reactive power (volt-amps)?

* If you can hear the transformer or feel vibrations, there are magneotstrictive losses.
 
Bob S said:
You need to consider any source of joule heating in the transformer, plus anything that creates a power factor <1. There are several classes of things you need to consider:

1) Self inductance and power factor (primary), and inductive (excitation current) losses.
2) mutual inductance (coupling efficiency to secondary circuit)
3) Core losses (eddy currents in laminations, hysteresis losses, magnetostriction*)
4) copper winding losses(I2R losses, primary and secondary, also eddy currents in copper)
5) secondary circuit losses (in load).

The overall efficiency is 100 x Pload/Pin, where Pin is measured at the wall plug. Are you talking about joule power (real) or reactive power (volt-amps)?

* If you can hear the transformer or feel vibrations, there are magneotstrictive losses.

Oh so the cables getting heard is not included in the Pin or Pout? So its the power at the load, and the power from the generator?
 
If we know the input and output current and voltages ( for example by measurement) then we can calculate the efficiency easily. All the losses are included in Pin-Pout. However , If we would like to calculate the efficiency analytically ( as in design process), we need to consider and calculate the losses as a function of the load ( and the input voltage). Core losses are not easy to calculate and just some approximations may be made.
 

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