Mathematical Model of Operation of Fiber-Optic Dac-Based Multisensory Converter of Binary Mechanical Signals to Electric Signals

Abstract

In this study, the design and operation principle of a multisensory converter of binary mechanical signals to electrical signals are considered; the device is based on a fiber-optic digital-to-analog converter consisting of a kit of optical attenuators and a fiber-optic adder unit. A generalized mathematical model of the multisensory converter operation is developed. The model combines particular mathematical models of operation of a fiber-optic digital-to-analog converter, photo amplifier, and double-integration voltage-to-digit converter. The model is presented in the form of analytical equations for defining the output electric code based on the bit digits of the input mechanical code, considering a complex of constructive, sheet-oriented, and power-related parameters of the converter. The conversion of the frequency signals into codes is analyzed. The algorithm is developed for the numerical analysis of the mathematical model of operation of the investigated device, providing values of the maximum permissible instrumental errors in the manufacture of converter elements, while ensuring the full reliability of the device operation. The presented results can be used in the development of multisensory converters of binary displacements of control systems and the control and monitoring of energy-saturated objects, for which high noise immunity, electrical neutrality, low chemical activity, and information security are crucial.