Application of pulse width modulation for controlling the executive device of the adaptive fire protection system

A functional model of the pulse-width modulation device was developed to convert a continuous normalized input analog signal into a proportional output signal of the pulse-width modulation executive device of the fire protection system. An analysis of the scientific literature was carried out, which made it possible to take into account in mathematical models the use of pulse-width modulation of the control signal for controlling the operation of an inertial executive device, which was not considered before. A feature of the developed functional model is the use of pulse-width modulation of the control signal to control the operation of the inertial actuator. It has been proved that for the formation of the control signal of the operation of the executive device, the model of the device of pulse width modulation of the control signal must take into account the type, parameters of operation and structural features of the executive device. The study of the impact of the pulse-width modulated control signal on the executive device was carried out. The dependence of the signal spread at the output of the executive device with a given time constant on the dimensionless parameter presented in the logarithmic coordinate system is presented. The dependence of the spread and error of the signal at the output of the executive device with a given value of the time constant on the value of the control signal, the frequency of pulse-width modulation and the inertia of the real executive device is determined. A dimensionless criterion is proposed for determining the parameters of the pulse-width modulation of the control signal of the executive device with the given inertia and spread of the control signal. The results of the application of the functional model confirm the validity of the accepted hypothesis, and the calculated operating parameters of the executive device correspond to the experimental data. Recommendations for determining the parameters of continuous control of the executive device have been formulated.