A plasma generating device including: a supply circuit including a switch controlled by a control signal for applying an intermediate voltage on an output of the control circuit at a frequency defined by the control signal; a plurality of plasma-generating plug coils arranged in parallel on the output via connectors, each connector being adapted to be removably connected to a corresponding plug coil and including a mechanism adapted to offset the resonance frequency of the plug coil so that each plug coil has a distinct resonance frequency; a control device of the supply circuit, that determines the control frequency from the resonance frequencies of the plug coils to selectively control the plug coils according to the control frequency used.