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Methodology for parameters projection identification of an adaptive permanent magnet synchronous motor and informativity indicators of finite data fragments

A.S. Glazyrin, E.I. Popov, V.A. Kopyrin

Vestnik IGEU, 2025 issue 6, pp. 69—78

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Abstract in English: 

Background. Under the conditions of transferring oil wells into intermittent operating modes, there is a need to develop closed sensorless control systems of electric drives of submersible installations, including those with synchronous motors with permanent magnets. To implement these systems, it is necessary to develop effective methods for dynamic identification of the parameters of the electric motor model in connection with the cyclic change in the thermal mode of its operation. Currently, existing identification methods face the problem of high computational costs and the lack of a priori information on the nature of interference in the measuring channels. Thus, the task to develop new robust methods to identify the parameters of adaptive models of dynamic systems, in particular, a submersible electric drive based on synchronous motors with permanent magnets, becomes relevant.

Materials and methods. The paper discusses methods to identify parameters of adaptive mathematical models of nonstationary dynamic systems using the example of estimating electromagnetic parameters of a permanent magnet synchronous motor. An implicit multistep difference scheme is used to approximate the derivative in discrete time.

Results. The authors have developed a methodology for projection identification of parameters of adaptive models of dynamic systems and have tested it on an adaptive model of a stator of a synchronous motor with permanent magnets to obtain its electromagnetic parameters. The informativity indicators of the finite data fragment are proposed based on the analysis of the geometric characteristics of the leading hyperplanes in the formulation of the least squares problem. The proposed methodology for parameters projection identification of an adaptive model of a synchronous motor with permanent magnets made it possible to obtain estimates of its electromagnetic parameters with relative estimation errors of 26 % and 78 % for the active resistance and inductance of the stator winding, respectively, in the idle frequency start mode and 5,5 % and 39 % for the load mode. The informativity indicator of the finite data fragment obtained is based on the angle between the leading hyperplanes. It makes it possible to estimate the conditionality of the problem without directly calculating the eigenvalues or singular values of the information (symmetric, positive-definite) matrix of the least squares method.

Conclusions. The obtained methods for parameters estimation of adaptive models of permanent magnet synchronous motor and informativity indicators of the finite data fragment can be used to design closed electric drive systems of submersible installations operating in intermittent operation mode.

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Key words in Russian: 
нестационарная динамическая система, настраиваемые модели, идентификация по малому числу наблюдений, метод наименьших квадратов, синхронный двигатель с постоянными магнитами, проекционная идентификация, ведущая гиперплоскость, проекционное сопровождение ведущей гиперплоскости, индикатор информативности
Key words in English: 
non-stationary dynamic system, adaptive models, identification by a small number of observations, least squares method, permanent magnet synchronous motor, projection identification, leading hyperplane, projection tracking of the leading hyperplane, data informativity indicators
The DOI index: 
10.17588/2072-2672.2025.6.069-078
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