Problems of Modeling and Optimization of Heat Supply Systems: New Methods and Software for Optimization of Heat Supply System Parameters

Problems of Modeling and Optimization of Heat Supply Systems: New Methods and Software for Optimization of Heat Supply System Parameters

Valery Stennikov (Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Russia), Evgeny Barakhtenko (Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Russia), Dmitry Sokolov (Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Russia) and Tamara Oshchepkova (Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, Russia)
DOI: 10.4018/978-1-4666-9755-3.ch004
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Abstract

This chapter presents new methods and software system SOSNA intended for the parameter optimization of heat supply systems. They make it possible to calculate large-scale systems which have a complex structure with any set of nodes, sections, and circuits. A new methodological approach to solving the problem of the parameter optimization of the heat supply systems is developed. The approach is based on the multi-level decomposition of the network model, which allows us to proceed from the initial problem to less complex sub-problems of a smaller dimension. New algorithms are developed to numerically solve the parameter optimization problems of heat supply systems: an effective algorithm based on the multi-loop optimization method, which allows us to consider hierarchical creation of the network model in the course of problem solving; a parallel high-speed algorithm based on the dynamic programming method. The new methods and algorithms were used in the software system SOSNA.
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Background

Analytical methods were the first theoretically substantiated methods for calculating optimal diameters of the pipeline network. The most well-known among them is the method suggested by Grashof in 1875 for a water main with point loads. He solved the problem of search for a constrained minimum of the water main cost function in terms of the given total pressure loss and on the basis of the Lagrange multiplier method.

The first studies in the field of heat supply to focus on the considered problem appeared in the 1930s (Davidson, 1934; Yakimov, 1931). Moreover, their authors aimed at calculating a main with point loads and tried to apply the Grashof method to calculate branched heat networks. The papers by A.M. Zanfirov (Zanfirov, 1933, 1934) present an analytical solution to the problems of optimal diameter selection for the branched network with random topology and an available head in the sources.

The development of analytical methods for technical and economic HSS calculation was significantly affected by the studies conducted by B.L. Shifrinson and V.Ya. Khasilev (Khasilev, 1957; Shifrinson, 1940). B.L. Shifrinson reformulated the problems of techno-economic HSS calculation by assuming not pipeline diameters but pressure losses in the network section to be independent variables.

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