Evolutionary search algorithms of parameters identification for water heating systems

D. E. Bogomol, V. F. Irodov, O. A. Levkovich, A. A. Chernoivan

Abstract


Purpose. We consider the solution of two tasks that provide an intra-house accounting for the consumption of thermal energy in existing water heating systems. The following tasks are distinguished: 1 - the problem of distribution of flows in the water heating system; 2 - the problem of identifying the hydraulic resistance of the heating system. 3 - the task of distributing flows in real time. The mathematical model of the hydraulic circuit is the model with concentrated parameters. The mane parameters of the hydraulic circuit are: flow rates at circuit jets, flow rates at circuit edges of the graph, pressure at circuit jets and difference pressure at circuit edges, hydraulic resistances of circuit edges. Identification of the hydraulic circuit is performed by the method of “mathematical flowmeter”. Methodology. The algorithms are based on the algorithm of random search of the most preferred solutions with respect to the binary choice relation. In the problem of distribution of flows using the method of contour expenditure, one criterion is minimized: the criterion of the mismatch of the fulfilment of Kirchhoff's second law for network contours. In the identification problem, two criteria are used: a criterion for mismatching the measured and calculated parameters of the hydraulic circuit and also a criterion for deviating the found hydraulic resistances from their preliminary estimates. The latter criterion ensures the stabilization of the solution of the ill-posed inverse identification problem. Findings. Binary relations of choice for solving these problems are constructed. The general structure of the algorithms of evolutionary search does not change, the evolutionary algorithm includes two functions: the generation function and the decision selection function with respect to the binary choice relation. Here, the preference function is used as a selection function for both tasks. The problem of parametric identification reduces to the problem of mathematical programming. The second identification criterion is transformed into a restriction in the form of an inequality. Originality. The algorithmic support for the identification of the parameters of the water heating system has been developed. At the same time, an easily accessible measurement of parameters is used for initial identification and for monitoring the parameters of the heating system during operation. For evolution search algorithms, the convexity condition of the choice relation is not required. Practical value. The developed algorithmic support is intended for the operational control of the main parameters of the water heating systems during operation. Together with the necessary technical support, it allows the creation of systems for automatic control of heat consumption by individual consumers of the heating system.

Keywords


algorithmic support; identification of the hydraulic circuit; water heating system; evolutionary search

References


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