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Saturation curve

Hi, im trying to match PSS/E and an brazilian software ANATEM. The PSS/E generator models (GENROU, GENROE, GENSAE and GENSAL) , have two parameters S(1.0) and S(1.2). I've tried to find how the saturation curve is made but coudn't find it.

For example: GENSAE - (Exponential Saturation on Both Axes) GENROU - (Quadratic Saturation)

Can someone help me and explain this ? Is there an equation that discribe thoses Saturation curves?