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# Saturated vs. Unsaturated

## Saturated vs. Unsaturated

(OP)
Is there an equation to relate saturated and usaturated values for a synchronous generator.

I have the S(1.0) and S(1.2) values with saturated T'do, T"do,T'qo,T"qo,Xd,Xq and unsaturated X'd,X'q,X"d=X"q, and Xl.  Is there any way to calculate the missing fields?

....Saturated/Unsaturated
..Direct Axis
Synchronous - Saturated (Xdv)
Synchronous - Unsaturated (Xdi)
Transient - Saturated (X'dv)
Transient - Unsaturated (X'di)
Subtransient - Saturated (X"dv)
Subtransient - Unsaturated (X"di)
Negative Sequence - Saturated (X2v)
Negative Sequence - Unsaturated (X2i)
Zero Sequence - Saturated Xov
Zero Sequence - Unsaturated Xoi
Leakage reactance (Xlm)
Synchronous - Saturated (Xqv)
Synchronous - Unsaturated (Xqi)
Transient - Saturated (X'qv)
Transient - Unsaturated (X'qi)
Subtransient - Saturated (X"qv)
Subtransient - Unsaturated (X"qi)
....Field Time Constants
..Direct Axis
Open Circuit (T'do)
Three Phase Short Circuit Transient (T'd3)
Line to Line Short Circuit Transient (T'd2)
Line to Neutral Short Circuit Transient (T'd1)
Short Circuit Subtransient (T"d)
Open Circuit Subtransient (T"do)
Open Circuit (T'qo)
Three Phase Short Circuit Transient (T'q)
Short Circuit Subtransient (T"q)
Open Circuit Subtransient (T"qo)

### RE: Saturated vs. Unsaturated

Simply, no.  With lots assumptions about the saturation characteristics of the machine, sort of - maybe - kind of.

### RE: Saturated vs. Unsaturated

(OP)
Can anyone confirm:

(Xdv - XL) = (1/S100)(Xdi-XL)
and
(Xqv - XL) = (1/S100)(Xqi-XL)

As an estimate for saturated/unsaturated conversion.  If so, would it be appropriate to apply this formula to transient and subtransient parameters as well?

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