An appliance comprising a battery protected by an emergency fuse able to withstand a maximum supply current to the appliance for a predefined period, the appliance being able to be supplied electrically by a mains supply or by the battery, the battery supply being intended to take over from the mains supply in the event of a break in the mains supply, and moreover comprising a system for managing electrical consumption, said system comprising: a module for monitoring an input voltage of the appliance and detecting a break in the mains supply to the appliance, and a module for cutting off supply to hardware modules included in the appliance to reduce the electrical consumption of the appliance, the system being characterised in that: said monitoring and detection module and said supply cutoff module are implemented by entirely hardware modules, independently of any interpretation of machine instructions and able to react in a time shorter than the predefined period during which the fuse can withstand said maximum supply current, said supply cutoff module making it possible to obtain a predefined reduction in electrical consumption of the appliance so that the appliance consumes a supply current smaller than said maximum supply current, the supply cutoff module being controlled by the monitoring and detection module to detect a break in the mains supply and configured to open an electrical supply circuit of at least one predefined hardware module included in the appliance when a break in mains supply is detected, the electrical supply circuit of a hardware module of the appliance can be opened by the supply cutoff module to reduce the electrical consumption only when a lock associated with this hardware module is in an activated mode and cannot be opened when said lock is in a deactivated mode, each lock being configured in the activated or deactivated mode by a processor of the appliance using machine instructions, so that, following the opening of the supply circuit of each predefined hardware module according to the configuration of the lock making it possible to obtain the predefined reduction in the electrical consumption of the appliance, the processor is able to cause the opening of the supply circuit of other hardware modules of the appliance. a module for monitoring an input voltage of the appliance and detecting a break in the mains supply to the appliance, and a module for cutting off supply to hardware modules included in the appliance to reduce the electrical consumption of the appliance, the system being characterised in that: said monitoring and detection module and said supply cutoff module are implemented by entirely hardware modules, independently of any interpretation of machine instructions and able to react in a time shorter than the predefined period during which the fuse can withstand said maximum supply current, said supply cutoff module making it possible to obtain a predefined reduction in electrical consumption of the appliance so that the appliance consumes a supply current smaller than said maximum supply current, the supply cutoff module being controlled by the monitoring and detection module to detect a break in the mains supply and configured to open an electrical supply circuit of at least one predefined hardware module included in the appliance when a break in mains supply is detected, the electrical supply circuit of a hardware module of the appliance can be opened by the supply cutoff module to reduce the electrical consumption only when a lock associated with this hardware module is in an activated mode and cannot be opened when said lock is in a deactivated mode, each lock being configured in the activated or deactivated mode by a processor of the appliance using machine instructions, so that, following the opening of the supply circuit of each predefined hardware module according to the configuration of the lock making it possible to obtain the predefined reduction in the electrical consumption of the appliance, the processor is able to cause the opening of the supply circuit of other hardware modules of the appliance. said monitoring and detection module and said supply cutoff module are implemented by entirely hardware modules, independently of any interpretation of machine instructions and able to react in a time shorter than the predefined period during which the fuse can withstand said maximum supply current, said supply cutoff module making it possible to obtain a predefined reduction in electrical consumption of the appliance so that the appliance consumes a supply current smaller than said maximum supply current, the supply cutoff module being controlled by the monitoring and detection module to detect a break in the mains supply and configured to open an electrical supply circuit of at least one predefined hardware module included in the appliance when a break in mains supply is detected, the electrical supply circuit of a hardware module of the appliance can be opened by the supply cutoff module to reduce the electrical consumption only when a lock associated with this hardware module is in an activated mode and cannot be opened when said lock is in a deactivated mode, each lock being configured in the activated or deactivated mode by a processor of the appliance using machine instructions, so that, following the opening of the supply circuit of each predefined hardware module according to the configuration of the lock making it possible to obtain the predefined reduction in the electrical consumption of the appliance, the processor is able to cause the opening of the supply circuit of other hardware modules of the appliance.