This Non-Linear Inductor (Behavioral) Model based on the Hysteretic core model by John Chan (See LTSpice Help/ L: Inductor).

The initial parameters of the Magnetic Core are from the Example in LTSpice Help File. You can compare the results to simulate 

[1.]

L1 N001 0 Hc=16. Bs=.44 Br=.10 A=0.0000251
+ Lm=0.0198 Lg=0.0006858 N=1000
I1 0 N001 PWL(0 0 1 1)
.tran .5
.options maxstep=10u
.end

and after it 

[2.]

Version 4
SHEET 1 880 680
WIRE 160 144 -112 144
WIRE -112 160 -112 144
WIRE 160 160 160 144
WIRE 128 192 112 192
WIRE 128 208 64 208
WIRE 128 224 0 224
WIRE -112 256 -112 240
WIRE 160 256 160 240
FLAG -112 256 0
FLAG 160 256 0
FLAG 112 192 B
IOPIN 112 192 Out
FLAG 64 208 Hf
IOPIN 64 208 Out
FLAG 0 224 Hg
IOPIN 0 224 Out
SYMBOL Custom\\Transformer\\Lbeh 160 208 R0  ; < -- Change it !!!
SYMATTR InstName U1
SYMBOL current -112 160 M0
WINDOW 123 0 0 Left 0
WINDOW 39 0 0 Left 0
SYMATTR InstName I1
SYMATTR Value PWL(0 0 1 1)
TEXT -64 506 Left 0 !.tran 500m
TEXT -280 336 Left 0 ;Note : Dynamic Inductance Value Choose from "Add Trace" : V(u1:Ld)

---------------------------------------

B  - Magnetic Flux Density [Tesla] - (1T = 1V)
Hf - Intensity of the Magnetic Field in the Core [A/m]  (1 A/m = 1V)
Hg - Intensity of the Magnetic Field in the Air Gap [A/m] (1 A/m = 1V)