A refrigeration system with single-phase induction motor compressor is used to operate the cooling process at constant speed and On/Off control mode. Using a motor driver with this system allows us to utilize variable speed control algorithms, and gives many opportunities to improve energy efficiency. This paper presents developed model simulation results of a single-phase induction motor drive to improve energy efficiency for a refrigerator compressor motor. For this aim, firstly, a household refrigerator compressor and a compatible drive system are determined to obtain the model of the system. Based on the catalog values of a selected real compressor, a model is created. Then, the developed model simulation results are verified with the real compressor data. In the drive system model, scalar control, single-phase full bridge inverter topology and unipolar sinusoidal pulse width modulation methods are employed. Finally, total harmonic distortion and energy consumption of a single-phase induction motor which is driven by the developed driver model are measured. Energy consumption values of the conventional and variable-speed cooling systems which are available in the market are compared with the developed model.