Transformer Mathmatical Modelling

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Discussion Overview

The discussion revolves around the mathematical modeling of transformers, specifically focusing on equations related to primary and secondary voltages, as well as magnetic flux. Participants are interested in applying these models in MATLAB for analysis.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents equations for modeling the transformer, seeking to derive the secondary voltage and magnetic flux.
  • Another participant suggests combining the reactances (Xp and Xs) in transformer analysis, while noting that this is debated among engineers.
  • A participant mentions the conditions under which certain parameters can be ignored in modeling, such as at no load and full load scenarios.
  • There is a challenge to the correctness of one of the presented equations, indicating a potential error in the modeling approach.
  • A formula for secondary voltage is proposed, indicating a relationship between the number of turns in the primary and secondary coils and the primary voltage.

Areas of Agreement / Disagreement

Participants express differing views on whether the reactances can be combined in transformer modeling, indicating a lack of consensus on this point. Additionally, there is uncertainty regarding the correctness of the equations presented.

Contextual Notes

Some assumptions regarding load conditions and the applicability of certain simplifications are not fully explored, leaving room for further clarification. The discussion also reflects varying levels of familiarity with MATLAB among participants.

Who May Find This Useful

This discussion may be useful for individuals interested in transformer modeling, electrical engineering students, and those looking to apply theoretical concepts in practical software like MATLAB.

brilliant-12
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750px-Transformer_equivalent_circuit.svg.png


I would like to do the mathmatical modelling then apply it in matlab. This is my trailier.

Vp-ip*Rp-Lp*(dip/dt)-Rc*ic = 0 ----- 1
Vp-Lm*(dim/dt) = 0 ------2
i need the modelling of the secondary voltage to the primary and the flux

Vs= ?
flux= ?

I did apply it in MATLAB but didn't work.
 
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I know nothing about mathlab. But from a transformer analysis point of view:
Xp and Xs should be combined.
Do modeling at no load and also at full load.
At no load Xp, Xs, Rp and Rs can be ignored.
At full load Rc and Xm can be ignored

Above simplification can be used for normal transformers. There are some extremely rare exceptions where the preceding is not true.

Some transformers engineers say Xp and Xs can not be combined. I am in the group that say they can be combined.
 
brilliant-12 said:
I would like to do the mathmatical modelling then apply it in matlab. This is my trailier.

Vp-ip*Rp-Lp*(dip/dt)-Rc*ic = 0 ----- 1
okay
Vp-Lm*(dim/dt) = 0 ------2
That can't possibly be right.
i need the modelling of the secondary voltage to the primary and the flux
Vs= ?
Vs=(Ns/Np)*Ep
 

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