Verification of a method for implementing a closed-loop control system for an electromechanical system with distributed parameters in the mechanical part
DOI:
https://doi.org/10.62486/agmu2024207Keywords:
system with distributed parameters, resonant frequency, experimental stand, coefficient of proportionalityAbstract
A research facility has been developed for verifying a method for implementing a closed-loop control system along an intermediate coordinate for an electromechanical system with distributed parameters in the mechanical part using an observing device. The scheme of the experimental stand with a detailed description is given. The mechanical parameters of the experimental stand are given. As a system with distributed parameters, a spring with a low coefficient of elasticity was used in the stand, inside which a string is stretched to avoid the effect of sagging. A distinctive feature of a system with distributed parameters is the presence of forward and backward branches of a one-dimensional system with distributed elasticity. The small coefficient of elasticity of the spring provides resonance phenomena at low frequencies, which is observed in spatially extended systems with distributed parameters. A thyristor converter is used to control the rotational speed of the electric motor in the experimental stand. A photo of the converter with the control circuit is shown. The implementation of the sinusoidal control law is provided by a crank mechanism, its scheme is presented. An electrical circuit diagram for providing power to the experimental stand is presented. A photograph of the appearance of the electrical part of the stand is presented. The range and accuracy of a set of voltage and current measuring devices are indicated. To obtain information about the motor current, a software and hardware complex is used. The description of the software and hardware complex is presented. A control program has been developed for making measurements on four voltage channels. The procedure for determining the coefficient of proportionality between the voltage of the reference and the oscillation frequency of the system with distributed parameters for the experimental setup and its value are presented. The feedback signal is connected using a switch located on the experimental stand.
References
Zames, G. On spectral mapping, higher order circle criteria and periodically varying system. IEEE Trans / G. Zames, R. Kallman - Automat. Control vol. AC-15, 1970. - P. 649-652 DOI: https://doi.org/10.1109/TAC.1970.1099587
Sarangapani, Jagannathan. Neural network control of nonlinear discrete-time systems / Jagannathan Sarangapani – Taylor & Francis, vol. AC-15, 2006. - P. 649-652
Rassudov, L. N. Electric drives with distributed parameters of electromechanical elements / L. N. Rassudov, V. N. Myadzel - L.: Energoatomizdat, Leningrad. ot-nie, 1987.– 144 p.
Brocket, R. W. The status of Stability Theory for deterministic systems / R. W. Brocket - IEEE Trans - Automat. Control, vol. AC-11, no. 3, 1966. - P. 596-606 DOI: https://doi.org/10.1109/TAC.1966.1098354
Ortega, R. Almost periodic equations and conditions of Ambrosetti / R. Ortega, M. Tarallo – Prodi type. Academic Press, N. Y. and London, 1973, 217 P.
Butkovsky, A. G. Control methods for systems with distributed parameters / A. G. Butkovsky - M.: Nauka, 1975. - 230 p.
Nagendga, K.S. Frequency domain criteria for absolute stability / K.S. Nagendga, J. H. Taylor - Academic Press, N. Y. and London, 1973, 358 S.
Corduneanu, C. Integral equations and stability of feedback systems / C. Corduneanu. – Acad. Press, N. Y., 1973, 357 S.
Terekhov, V.M. Accounting for the elasticity of long ropes in the dynamics of the electric drive of lifts / V.M. Terekhov // Electricity - 1966. - No. 11. - p. 60–65. DOI: https://doi.org/10.1007/BF00885616
Willems, J. C. On the asymptotic stability of the null solution on linear differential equations with periodic coefficients / J. C. Willems. – IEEE Trans. automat. Control, vol. AC-13, no. 1, 1968, S. 65-72. DOI: https://doi.org/10.1109/TAC.1968.1098793
Kyriakos, Vamvoudakis. Control of Complex Systems. Theory and Applications / Vamvoudakis Kyriakos, Jagannathan Sarangapani. – Butterworth-Heinemann, 2016, 386 S.
Korneev, A.P. A new method for approximating the mechanical part of a non-stationary electromechanical system with distributed parameters / A. P. Korneev // Science of the present and future: Collection of materials of the conference of the V scientific-practical conference with international participation, St. Petersburg. March 17-18, 2017 // ETU "LETI" - St. Petersburg, 2017 - p. 168–170.
Balashov, V.A. Economic and mathematical modeling of production systems / V.A. Balashov, A.M. Andronov: Proc. allowance for universities. - Minsk: Universitetskaya, 1995. - 240 p.
Tolochko, O. I. Analysis and synthesis of electromechanical systems for becoming posterigami / O. I. Tolochko. - Donetsk: Nord-Press, 2004. - 298 p.
Kuzovkov, N. T. Modal control and monitoring devices / N. T. Kuzovkov - M.: Mashinostroenie, 1976. - 184 p.
Korneev, A. P. Application of state observers in systems with distributed parameters / A. P. Korneev, G. S. Lenevsky // Information technologies, energy and economics: Proceedings of the II interregional scientific and technical conference. conference, Smolensk. April 13-14, 2005, MPEI (TU) - Smolensk, 2005. - p. 40-44.
German-Galkin, S.G. Computer modeling of semiconductor systems in MATLAB 6.0 / S.G. German-Galkin: Textbook - St. Petersburg: Korona print, 2001.- 320 p.
Karneyev, A.P. Development of a stand for research of systems with the distributed parameters / Karneyev A.P., Lenevsky G.S. – Journal of the Technical University of Gabrovo, Vol. 41, 2011, P.32-35
Published
Issue
Section
License
Copyright (c) 2024 A. P. Korneev, G. S. Lenevsky, Yitong Niu, Abdullayev Vugar (Author)

This work is licensed under a Creative Commons Attribution 4.0 International License.
The article is distributed under the Creative Commons Attribution 4.0 License. Unless otherwise stated, associated published material is distributed under the same licence.