Abstract
One of the important tasks of the theory of reliability and efficiency of energy systems is the task of creating information systems for managing energy systems and the transition to intelligent management and engineering. The solution to this problem is possible based on the construction of mathematical models relating to various aspects of the structure and functioning of these systems. The paper, using the example of a superposition of independent semi-Markov processes constructed in the works of V.S. Korolyuk, A.F. Turbin, examines the possibilities of using semi-Markov processes with a common phase state space for modeling energy systems; an illustrative example of the application of this approach is given.
Highlights
Semi-Markov processes (SMP) are widely used to build models and analyze systems for various purposes: technical, industrial, energy, information, economic, biological, etc.The leading world publishing houses Elsevier, Springer, World Scientific have published a number of monographs on the subject in recent years. [1,2,3,4,5].Semi-Markov processes can be effectively used to build models relating to various aspects of the structure and functioning of energy systems: reliability, efficiency, monitoring, diagnostics, maintenance and forecasting.In this paper, by the example of a superposition of independent semi-Markov processes constructed in the works of V.S
As an example to illustrate the application of the formulae (1) – (3) to model the electric energy systems let us determine the reliability characteristics of the electric energy system with the structural diagram represented in the Figure 1 and the elements reliability characteristics represented in the Table 1
The paper shows the possibilities of semi-Markov processes with common phase space of states application to model construction and operation analysis of energy systems using an example of independent SMP superposition
Summary
Semi-Markov processes (SMP) are widely used to build models and analyze systems for various purposes: technical, industrial, energy, information, economic, biological, etc. The leading world publishing houses Elsevier, Springer, World Scientific have published a number of monographs on the subject in recent years. Semi-Markov processes can be effectively used to build models relating to various aspects of the structure and functioning of energy systems: reliability, efficiency, monitoring, diagnostics, maintenance and forecasting. By the example of a superposition of independent semi-Markov processes constructed in the works of V.S. Korolyuk, A.F. Korolyuk, A.F Turbin and their apprentices [6, 7], the possibility of using semi-Markov processes with a common phase state space for energy systems modeling is considered
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