I am not an expert with Hysys (I use Prode Properties) but I suppose that compressors are solved in a similar way,
in design mode the simulator calculates output conditions starting from input conditions (p,t,composition), specifications (efficiency etc.).
The adiabatic or the polytropic stage model which you select is normally solved (in design mode) with a specified efficiency and the procedure calculates outlet conditions, inlet and outlet enthalpies and estimates the required power.
In rating mode the procedure estimates efficiency starting from inlet (p,t,composition) and outlet (p,t) conditions.
Usually if you know the (absorbed) power you have also inlet and outlet conditions and can calculate efficiency which is the usual approach,
if the program returns values (for absorbed power) very different from those you have measured (also considering mechanical efficiency) then it could be a problem with thermodynamics (calculated enthalpies).