MATHEMATICAL MODELS OF DEPENDENCE OF DATA RATE ON LENGTH OF SEGMENT OF SPECIALIZED DIGITAL NETWORK COMLI BASED ON RS-232C

Abstract

The specialized digital network COMLI is deterministic. Users of this network can be confident in the predictable, consistent response to external events, and developers of process control systems can provide reliable real-time control. At the first stage of research, it was decided to investigate which mathematical dependence will best describe the change in data rate, which is determined by the manufacturer of the COMLI network on segments of this network of different lengths. In particular, calculations were made to compare the nature of the change in data rate from the length of the segment of the specialized digital network COMLI based on RS-232C in comparison with the following dependences: exponential, linear, logarithmic, polynomial, power function. As a result of the conducted researches it is established that among the above-mentioned mathematical dependences the character of change of speed of data transfer from length of a segment of the specialized digital network COMLI on the basis of RS-232C power function dependence best describes. In the second stage of research, mathematical models of the dependence of the data rate on the length of the segment of the specialized digital network COMLI based on RS-232C were developed. In particular, a mathematical model was developed that reproduces the dependence of the data rate in the COMLI network based on RS-232C on the segment length with an error of up to 3%. For preliminary analysis and preliminary calculations, such accuracy may be acceptable. For accurate calculations of data rate from the length of the segment of the specialized digital network COMLI on the basis of RS-232C developed a model that provides calculations with an error not exceeding 0.01%. The developed mathematical models of the dependence of the data rate on the length of the segment of the specialized digital network COMLI based on RS-232C will contribute to more efficient design of control and management systems based on the COMLI network.