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Systems for different kinds of energy resources transportation are potentially dangerous objects. In the design and operation of these systems, the possibility of improving the system's efficiency is very important to explore. The main way of improving efficiency is through optimisation. This paper describes the application of exergy topological models and, in particular, the graph of thermoeconomical expenditure for thermoeconomical optimal design of different kind of nets for energy supply -with circled (CNES) and tree shape (TSESN) structure. The questions of thermoeconomical optimisation of these nets , as well as suggested modelling algorithms, are illustrated in the numerical example of the optimisation of a energy supply system for a city with seven regions of energy consumption for CNES and for twelve regions for TSESN.
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