Study of the measurements placement problem for planning of the optimal experiment

Melentiev Energy Systems Institute of Siberian branch of Russian Academy of Science (ESI SB RAS), department of pipeline and hydraulic systems, Lermontov street 130, Irkutsk, Russia, 664033

^* Corresponding author: oksana@isem.irk.ru

Abstract

Both in Russia and abroad, there are works that are devoted to the problem of optimal placement of measuring devices, which are evidenced by the current literature. The proposed methods are not universal, that does not allow them to be directly used for different types of pipeline systems. In addition, the developed algorithms does not guarantee a global solution. In this regard, there is a demand for solving the problem of optimal placement of measuring devices for pipeline systems. At the same time, not only the number and accuracy of measuring devices, but also their composition and placement locations are important. In this paper, a mathematical formulation of the problem of optimal placement of measuring devices is given, methods for its solution are proposed. The numerical example shows the effectiveness of the proposed method of optimal placement of measuring devices, which allows to get a global solution for a previously known finite number of steps.