Mathematical modeling of hydraulic chains as cyber-physical objects

Abstract

The article attempts to substantiate a new direction of scientific research of pipeline systems (PLS) of the energy sector as cyber-physical objects. The relevance of this direction is determined by the practical formation of new properties of PLSs in the process of their renovation, intellectualization and digitalization, along with the absence of a general theory of classification of the goals pursued, emerging problems and solution methods. It is proposed to base such studies on the theory of hydraulic circuits, the subject of which is the general methods of mathematical modelling, calculation and optimization, applicable in principle for any PLS (heat, water, oil and gas supply, etc.). The concepts of controlled and cybernetic hydraulic circuit are introduced as a new object of study of this theory. The content of new classes of problems of research and modelling of hydraulic circuits as cybernetic is revealed. The characteristics of the available results in the field of methods of analysis and synthesis of PLSs as cyber-physical objects are given. Mathematical models and methods of analysis of the consequences of regime control in conditions of stochastic of external influences and uncertainty of the internal state are presented. A set of indicators for the integral assessment of the controllability of the PLS is proposed, reflecting the main aspects of management: admissibility, reliability and efficiency. Integral indices of PLS identifiability and methods of their calculation are proposed. The interrelation of these indicators, which can be used to develop methods of analysis, synthesis, norms and standards of controllability and identifiability, as the main cybernetic properties of PLS, is disclosed.