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JOURNALS // Matematicheskoe Modelirovanie i Chislennye Metody // Archive

Mat. Mod. Chisl. Met., 2015 Issue 6, Pages 73–86 (Mi mmcm44)

This article is cited in 1 paper

Identification of parameters of regulator actuators for steam power turbines using matrix operator apparatus

Yu. P. Kornyushin, N. D. Egupov, P. Yu. Kornyushin

Kaluga Branch of Bauman Moscow State Technical University

Abstract: In the paper we propose an algorithm of parameters (time constants of the turbine) iden-tification using the gradient method with an adaptive model. The adaptive mathematical model has the same structure as the identification object. The identification criterion is based on the loss function, which is the misalignment between the left and right sides of the equation, which describes the adaptive model. Thus it is avoided the need of finding the solution of a nonlinear equation for the adaptive model in an explicit form. In the model the signal observed at the output of the identified object is used instead of the out-put signal. Since mathematical models are nonlinear, the Newton – Kantorovich lineari-zation and the matrix operator apparatus are applied to solve the problem. The features of gradient vector computation and features of the identification algorithm and its organ-ization are considered. The results of the two time constants identification for the mathe-matical model of the turbine PT-12/15-35/10M are presented.

Keywords: identification, turbine, gradient operator, criterion, parameters, time constants.

UDC: 681.5.015.23

Received: 29.05.2015



© Steklov Math. Inst. of RAS, 2024