Muzychak A. Mathematical models and algorithms of analysis and improvement of regimes of centralized heat supply systems

The dissertation is devoted to raising the efficiency of centralized heat supply systems by improving regimes. Conceptual basis of mathematical modeling of engi-neering networks are composed. It is proved that in networks with newton incompressible medium it is necessary to consider conservation of linear momentum. For the first time the way of the account of this law by means of new concept of influence coefficient of contiguous branches as parameter of elements of networks is offered. A notation of a closing relationship is proved and it is created mathematical model of nodes. Thanks to it in frameworks of expanded theory of hydraulic circuits was possible to reconstitute adequately hydraulic characteristics of a wide range of elements in which there is a merge or separation of streams (the tee-joint, elevator knot). The way of the account of the phenomenon of density's change of heat carrier and natural circulating pressure is offered. A unified mathematical model for the calculation of centralized heat supply systems and central heating systems (including gravitational) is developed. An algorithm for optimizing the parameters of input entries taking into account network character of a problem is offered. This allows providing necessary level of thermal comfort for the consumers to maximize the efficiency of input entries. The strategy of urban energy planning with phased modernization of heat entries, which provides the maximum reduction in power consumption. Digital model of centralized heat supply systems is developed for practical implementation of mathematical model. The necessity of the model as an application package. Developed principles of interaction and build applications package.