Question when obtaining magnetic flux density B

F

Fe2321

I am trying to obtain the magnetic flux density B of a toroidal transformer with one winding around the core. I am injecting a voltage in the terminals of the winding, and I am measuring this voltage and the current flowing trough the winding. I want to obtain the exciting current- flux density curve, so in the x-axis I am plotting the current and the flux density in the y-axis.

My problem is that I am not obtaining the right amplitude of the saturation density according to the material, even if the shape of the curve seems correct. For example, the max amplitude I am obtaining is around 1.5T, when according to the material of my transformer, the amplitude should be around 1.9 T. The equation I am using to obtain B is the next:

B=(1/Winding turns*Core Cross section area)*Integral(Vs).

With the equation to obtain the max. value of flux density of a toroidal core, the max. values are around 1.9 T, but the shape is not the expected. The eq. used to obtain this is: B=Voltage/(4.44frequencyTurns*Core Cross section area).

So why I am not obtaining the right amplitude of B with the first equation, even if the shape is correct?
 

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