Efficiency of DX & chilled water system

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Hi,

I am conducting an energy simulaiton for comparing DX & chilled water system. In my case, chilled water system has a very much better power efficiency than DX system, however, simulation result shows DX system having an energy efficiency that near to chilled water system.

Is this common? If yes, can anyone explain the fundamental for power efficiency and energy efficiency in this case. 

Thanks 

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