Mathematical model of a frequency pressure transducer based on a resonant tunneling diode

The paper presents the design of pressure sensor with a frequency output signal that is based on the physical processes in a resonant tunnel diode under the action of pressure. The use of devices with negative differential resistance can significantly simplify the design of pressure sensors in the entire radio frequency range. Depending on the operating modes of the sensor, an output signal can be obtained in the form of harmonic oscillations. Pressure sensor characteristics researches based on complete equivalent circuit diagram resonant tunnel diode, which takes into account its capacitive and inductive properties. A mathematical model of the pressure sensor was developed, upon which the analytical dependences of the change in the elements tunnel resonance diode from pressure have been determined, as well as conversion functions and sensor sensitivity. It is shown that the main contribution to changes in the conversion function and sensor sensitivity is made by the change in the negative differential resistance with the change in pressure. This, in turn, results in different readings of the instrument's output frequency. The sensitivity of the sensor varied from 1.15 kHz/Pa·105 to 14.16 kHz/Pa·105 in the pressure range from 50·105 Pa up to 350·105 Pa.