Question about the magnetic resistance

hi all,

About the magnetic resistance, i have below questions, really appreciate if someone can help me understand:

  1. the magnetic resistance Rm is defined for the loss, Ploss=F^2/Rm, what is the difference between the magnetic resistance and magnetic permeance? Their unit is quite similar{A*(Wb/s)^-1 Vs Wb/A}, why only the resistance can generate the loss?

  2. when in series or in parallel connecting a resistance with a permeance, i found the circuit flux phi will be changed comparing with a single permeance, why?

  3. I got a core datasheet(https://datasheets.micrometals.com/SM-226060-2-DataSheet.pdf), and try to create the loss model based on their spec, the model from supplier is a formular with four parameters(a=1.000E+06, b=9.109E+08, c=1.221E+07, d=1.096E-14), how to transfer the supplier model to a magnetic resistance?

the magnetic resistance Rm is defined for the loss, Ploss=F^2/Rm, what is the difference between the magnetic resistance and magnetic permeance? Their unit is quite similar{A*(Wb/s)^-1 Vs Wb/A}, why only the resistance can generate the loss?

I would suggest reading the “Permeance-capacitance analogy” section of the PLECS Magnetic Domain documentation. PLECS uses an analog where the MMF (F) is the across quantity (analogous to voltage), while the rate-of- change of magnetic flux Φ’ is the through-quantity (analogous to current). With this choice of system variables, magnetic permeance P corresponds to capacitance: Φ’ = P*dF/dt. The unit of MMF is Amp-turn and the derivative is amp-turns per second, and the units harmonize.

when in series or in parallel connecting a resistance with a permeance, i found the circuit flux phi will be changed comparing with a single permeance, why?

This makes sense as it is effectively the different between a magnetic capacitor or a magnetic capacitor and resistance. They are different circuits.

how to transfer the supplier model to a magnetic resistance?

This formula cannot be directly translated into a single resistance value as it is non-linear, depending on the square of the peak flux as well as frequency. The best approach with this level of information would be to take the peak flux from a PLECS simulation and insert it into this formula (either in the PLECS model or as a post-processing step). Also make sure that the assumptions of the formula match your circuit, as this likely assumes sinusoidal excitation.