A Cold Storage System includes a chiller (B), a cold storage (C), a compressor (A), and a bypass control valve (K; L). The chiller (B) is for cooling the heat transfer fluid (HTF) to low or ultra-low temperature. The cold storage (C) is for storing coldness. The compressor (A) enables the circulation of the HTF. The bypass control valve (K; L) is applied in between an exit of chiller (B) and an exit of the cold storage (C) and is adapted to keep a temperature at an inlet of the compressor (A) at a predefined setpoint temperature.