A compressor in the refrigerator uses about 80% of the total consumption power required for refrigerating cycle. In this study, we consider the auxiliary piston equipped with a valve that can be controlled to open and close in order to dramatically increase the efficiency of a linear compressor. Turbocharger using the auxiliary piston was to improve the cooling capacity and efficiency of the compressor. The numerical results show that the cooling capacity was considerably improved by approximately 40.6% compared to that of the baseline model. In addition, COP increased about 7.6% indicating that the turbocharger was very efficient