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Below, a derivation for the normalized corrected spool speed is shown. This demonstrates the difference between real gas corrections and ideal gas corrections.

 

The corrected spool speed is defined as (including real gas effects):

 

The diameter DI is not of interest if the same machine is considered, the equation can be rewritten to (including real gas effects):

 

This equation reduces to:

 

if no real gas effects are considered. Note that the corrected spool speeds used in the component characteristic maps for compressors and turbines in GSP use this relation. Without a reference spool speed the relation becomes: