Depending on the circumstances, the Fan Law approximation can be VERY accurate method for estimating performance at different conditions. I routinely obtain accuracies to within 1-2% when evaluating compressors for re-rated conditions. To start, you must have a set of performance curves for the current configuration, preferrably from the PTC-10 performance test.
Our compressor performance model incorporates an accurate real gas equation of state for calculating fluid properties.
Generally speaking, the lighter the gas and lower the pressure ratio, the better the accuracy of the Fan Laws. Very often a rough estimate will tell you if your existing machine will be anywhere in the right ballpark.
I always recommend doing these calcs BEFORE talking with the OEM, otherwise they will try to sell you a new machine and you'll have no way of countering. 9 out of 10 times if you ask an OEM about a potential re-rate application, they will try to sell you a new machine. The OEM salesman makes more commission selling the new machine.
Regards,
Tom McGuinness, PE
info@turbosynthesis.com