Inductor core loss for H-bridge type inverter
Inverter Topology vs inductor Core loss.

Assume H-bridge topology.

Edit:  Change assumption from Polar referring to DC voltages not Drivers.

According to recent papers e.g. A Namboodiri 


Bi Polar DC Voltage with PWM H-Bridge switches all 4 devices in sync to reverse DC voltage to get a differential bipolar output 
Polar DC Voltage with PWM H-Bridge switches only 2 devices asynchronously in 1 polarity and other 2 devices for opposite polarity so only one sine polarity is modulated at a time. 



  I leave it to you to analyse each component of core loss and focus on the current spectrum for EC core losses and conductive heat effects on mu.


- This Polar config. is what I referred to earlier as 3 level Sine simulation (with PWM)


POLAR EXAMPLE 
   - in theory , more efficient drivers, but what is  pulse current , impedance and spectrum for same power out?



BIPOLAR EXAMPLE





Core Losses


Hysteresis Core Losses increase with area of the loop from work to reverse flux
Saturation Core losses increase with loss of margin near saturation
Eddy current losses resist the velocity of flux reversals and thus are proportional to square of frequency and duration 


Eddy current losses Pec are proportional to SQUARE of the frequency spectrum of the current \$f_{-3dB}=0.35/t_R\$ (10~90%) and the square of the current and resulting flux in the core.




where:


Ke – co-efficient of eddy current, depends on material
Bm – maximum value of flux density [wb/m2]
T – thickness of lamination [meters]
F – frequency of reversal of magnetic field [Hz]
V – volume of magnetic material [m³]    

\$P_EC=k^2fI^2\$ reduced by the time interval 
   Ref