I recently did an experiment aiming to verify the magnetization curve of the cores of a single-phase electrical transformer. I applied a sine within one core and I observed this one and the other one responses over the time. The circuit builded for the experiment and the output of this, that is a snapshot from the oscilloscope that I've used to make the measures, we can see at the images below.
I then exported the graphics raw data into CSV files to manipulate it with some computer software, like Matlab or Excel. I mixed the data from both graphs in a manner that I could plot one as being the X-axis (1st CSV column) and the other being the Y-axis (2nd CSV column), and indeed it worked with Matlab. With the data organized I executed the following within Matlab:
Array=csvread('F:\workspace\Matlab\XY.csv'); r1 = Array(:, 1); r2 = Array(:, 2); plot(r1,r2);
The result is the transformer hysteresis graph as expected and showed bellow, and we can see a lot of noise within the signal.
Finally, I could calculate the area from the graph through:
The obtained result is 4.3768e+09, analyzing the data I would say that, if the X and Y axis was expressed in terms of Volts units, the resulting area would be 0.43768.
My doubt is:
I know that the encountered area represents somehow the energy loss within the transformer core, but... How do I express it in terms of energy? Is the encountered result (0,43768) expressed in [N/m^2]?