The Arbitrary Inductor model
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LTspice allows specifying a behavioral inductance with an expression for the flux. The inductor's current is referred to by the keyword "x" in the expression. Below is a netlist example of an inductor with simple saturation.
L1 1 0 Flux=1m*tanh(5*x)/5 ; 1mH inductor saturates at 0.2 volt-seconds I1 0 1 PWL(0 0 1 1) ; supplies unity di/dt so inductance corresponds to voltage .tran 1 .end