METHODOLOGY OF MODELING REGIONALLY ISOLATED ELECTROTECHNICAL COMPLEX

Abstract

The relevance of the is caused by the need to bridge the gap between the existing approaches to modeling isolated systems of power supply considering dynamic processes in their physically diverse subsystems, in the presence of weak communications and weak interactions between single systems. The aim of the research is to design the problem-oriented numerical method directly applicable to initial mathematical models of the isolated systems of power supply, and having advantage by criterion «counting duration – account accuracy» in relation to universal numerical methods. Object: electrotechnical complex consisting of set of the isolated systems of power supply united by weak communications and weak interactions. Methods. When analyzing a form and structure of initial mathematical model of set of the electrotechnical complexes consisting of the isolated systems of power supply united by weak communications and weak interactions, and when designing a problem-oriented numerical method the authors have used: power approach to mathematical modeling of electrotechnical complexes and systems, provision of theoretical bases of electrical equipment, theory of numerical methods of solution of rigid systems of the differential equations, correct assumptions by drawing up mathematical models and computer modeling. Results. The paper introduces the concept «Regionally isolated electrotechnical complex» and the authors determine its characteristic signs. The article considers the possibility of developing new algorithms for controlling the «Regionally isolated electrotechnical complex» to decrease the possible ecological damage and average settlement cost of electric power production by the power plants included in «Regionally isolated electrotechnical complex». The authors determined the initial structure of the mathematical model of «Regionally isolated electrotechnical complex». The paper demonstrates the fundamental difference between the structure of the given model and the model in a normal form of Cauchy. Вasic presence of properties of rigidity and superrigidity at the analyzed class of models is given. The authors designed and realized in the BKM-3 program the focused three-step numerical method applicable to the initial mathematical model of «Regionally isolated electrotechnical complex». The authors carried out the numerical experiment which shown the essential advantage of the BKM-3 program, by criterion «counting duration – account accuracy» in the field of applicability, on the idealized mathematical models of «Regionally isolated electrotechnical complex».

Keywords

• regionally isolated electrotechnical complex
• renewable energy sources
• optimization
• numerical methods
• energy efficiency