Transformer Mathmatical Modelling

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brilliant-12
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Equivalent circuit of a transformer: primary series resistance RP and leakage reactance XP, then secondary resistance and reactance referred to the primary by (NP/NS)^2, a shunt branch with core resistance RC and magnetizing reactance XM, and an ideal transformer NP:NS feeding the secondary terminals VS and IS.


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.
 
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