Compare Examples NONLINTR.asc and LINEARTR.asc to see the differences between them at different V1 voltages.

From LTSpice Help:

" ... There other non-linear inductor available in LTspice is a hysteretic core model based on a model first proposed in by John Chan et la. in IEEE Transactions On Computer-Aided Design, Vol. 10. No. 4, April 1991.  This model defines the hysteresis loop with only three parameters:


   name |    parameter            | units
   -----+-------------------------+------------
    Hc  | Coercive force          | Amp-turns/meter
    Br  | Remnant Flux Density    | Tesla
    Bs  | Saturation Flux Density | Tesla

The upper and lower branches of the hysteresis major loop are given by


                        H + Hc
   Bup(H) = Bs  --------------------- + 0H 
                 |H+Hc| + Hc(Bs/Br-1)

and


                        H - Hc
   Bdn(H) = Bs  --------------------- + 0H 
                 |H-Hc| + Hc(Bs/Br-1)

The initial magnetization curve is given by

   Bmag(H) = .5  (Bup(H) + Bdn(H))  ...   "

Bmag(H) used for modeling of the non-linearity of used core. Because of the behavioral model the simulation is slower than in case of the linear mutual inductances (LINEARTR.asc). The effect of non-linearity is conspicuous in situation when the V1 voltage is higher (try for example 60V). Convergence problems try to solve by changing of the "Kint" parameter in TR2.mod / SUBCKT INT.

Good luck,
Peter KAPAS
e-mail: pkapas@sbcglobal.net
