Creating a Model of a Class of Hybrid Streaming Systems

Analysis and design of complex technical systems in the field of electrical and thermal power engineering requires modeling of both continuous processes occurring in these systems and discrete control processes associated with switching and setting various operating modes. Models describing such systems belong to the class of continuous-discrete ones. The paper considers a number of formal models. It is shown that there are no methods for modeling and analyzing continuous-discrete systems in which methods for studying discrete and continuous components would equally coexist. The article shows a method for constructing a matrix model, which is formed using a circuit graph. The basis is the adjacency matrix and the vector of functions. The proposed matrix model is used to solve differential and logical equations describing continuous and discrete processes, respectively. The problems of coupling continuous and discrete state models are shown. Methods for solving high-dimensional matrix equations are considered.