Apparatus for measuring the temperature of an energy dissipating object or point to be protected, comprising an analog network representing a model of the thermal transmission between the object to be protected and the point where the temperature is measured, said object to be protected being a switching means of an electronic power controller arranged for controlling the supply of a load by means of an electrical power source operative for supplying a voltage as a function of an external control signal, said switching means being a current-limiting field effect transistor, a current sensing means, an error amplifier, a thermometer being disposed within a path for evacuating the thermal energy dissipated by said switching means, means for measuring the instantaneous power dissipated in said switching means being connected across said switching means to said analog network via a switch, said thermometer being connected to said network via a converting circuit, a device for initializing said network arranged for, when applying, or applying again, the voltage of the power source, fixing said network in the state of the operating point representing the measured temperature, and means for delaying cut off of the electrical supply to the network and to the initializing device after disappearance of the dissipative phenomenon of the object to be protected in order for the real temperature of the object to become equal to the measured temperature.