A hot carrier lifetime of a MOS transistor is estimated, depending on model formulas:
1/=1/0+1/b; b1sub-mbIdmb-2exp(a/|Vbs|),
where denotes a lifetime, Isub denotes a substrate current,
Id denotes a drain current, Vbs denotes a substrate voltage,
0 denotes a lifetime at the time the substrate voltage Vbs=0,
b denotes a quantity representing deterioration of a lifetime
at the time the substrate voltage |Vbs|0, and mb and 'a' are model
parameters. Furthermore, a parameter Age representing a cumulative stress quantity
is calculated depending on model formulas: Age=Age0+Ageb;
Ageb=1/Hb[IsubmbId2-m]exp(-a/|Vbs|)dt,
where t denotes time, Hb is a model parameter, Age0 denotes
a parameter representing a cumulative stress quantity at the time the substrate
voltage Vbs=0, and Agebs denotes a quantity representing
an increase of the cumulative stress quantity at the time the substrate voltage
at |Vbs|0. Thereby, a lifetime in actual use is determined with
accuracy even when a substrate voltage is applied, and circuit characteristic degradation
is simulated with high accuracy.