

Switching Converters Dynamics Considering Non-Ideality of the Error Amplifier within the Analogue Control System
https://doi.org/10.17587/mau.25.121-131
Abstract
The paper discusses a pulse voltage converter with a high switching frequency of a switch with an analog control system capable of providing the required conversion frequencies. The pulsed voltage converter under study has a control system with a proportional-integral regulator, implemented on the basis of a general-purpose operational amplifier. Operational amplifiers with such parameters are widely used as part of modern control microcircuits for pulse-width converters. In this work, the influence of the technological spread of the gain of the operational amplifier on the dynamics of the converter is studied. The studies were carried out both using the developed nonlinear dynamic model of the system, and using a small-signal open-loop dynamic model. A technique has been developed for selecting the parameters of the controller, taking into account the technological spread of the gain of the operational amplifier based on a nonlinear dynamic model. An analysis of the results obtained using a nonlinear dynamic model showed a significant influence of the specified spread on the dynamics of the system, even when the cutoff frequency of the open-loop control system is significantly removed from the frequency of the high-frequency pole of the operational amplifier. This must be taken into account when designing pulse voltage converters with analog control systems, namely, when choosing the parameters of regulators. It is shown that with the optimal values of the controller, selected according to the proposed method, the effect of technological gain spread on the frequency characteristics of an open circuit in the low-mid frequency regions is minimal, which indicates the effectiveness of the method.
Keywords
About the Authors
A. I. AndriyanovRussian Federation
PhD, Professor
Bryansk
A. A. Malakhanov
Russian Federation
Bryansk
Yu. A. Sitnikov
Russian Federation
Bryansk
References
1. Belov G. A. Theory of pulse converters, Cheboksary, Publishing house of Chuvashskiy university, 2016, 330 p. (in Russian).
2. Belov G. A. Pulse converters with control systems based on serial microcircuits, Cheboksary, Publishing house of Chuvashskiy university, 2015, 330 p. (in Russian).
3. Belov G. A. Dynamics of switching converters, Cheboksary, Publishing house of Chuvashskiy university, 2001, 448 p. (in Russian).
4. Meleshin V. I. Transistor converter technology, Moscow, Tekhnosfera, 2005, 632 p. (in Russian).
5. Severns R., Blum G. Switching DC voltage converters for secondary power supply systems, Moscow, Ehnergoatomizdat, 1988, 294 p. (in Russian).
6. Budko P. A., Veselovsky A. P., Vinogradenko A. M., Kosareva L. I. Regulation of tension in converters high-frequency impulses with the changing porosity, Mekhatronika, avtomatizatsiya, upravlenie, 2018, no.8, pp. 516—522 (in Russian).
7. Zhusubaliyev Zh. T., Mosekilde E. Bifurcations and chaos in piece-wise-smooth dynamical systems, Singapore, World Scientific Pub Co Inc, 2003, 376 p.
8. Aleinikov O. A., Baushev V. S., Kobzev A. V., Mik hal’chenko G. Ya. Investigation of local stability of periodic regimes in nonlinear impulse systems, Ehlektrichestvo, 1991, no. 4, pp. 16—21 (in Russian).
9. Aleinikov O. A., Baushev V. S., Kobzev A. V., Mikhal’chenko G. Ya. About stationary states of a voltage stabilizer with pulse-width regulation, Tezisy doklada XIV nauchno-tekhnicheskoi konferentsii, posvyashchennoi 40-letiyu nauchno-issledovatel’skogo, proektno-konstruktorskogo i tekhnologicheskogo instituta ehlektromekhaniki NPO "Polyus", 1990, pp. 72—73 (in Russian).
10. Belov G. A. Investigation of an impulse stabilizer by the method of point mappings, Problemy preobrazovatel’noi tekhniki, 1983, no. 4.2, pp. 115—118 (in Russian).
11. Andriyanov A. I., Bulokhov N. M. Study of the nonlinear dynamics of closed control systems with composite voltage con-verters, Mekhatronika, avtomatizatsiya, upravlenie, 2013, no. 12, pp. 39—45 (in Russian).
12. Andriyanov A. I. Designing pulse DC voltage converters taking into account dynamic non-linearities, Ehlektrotekhnicheskie sistemy i kompleksy, 2021, no. 2 (51), pp. 39—44 (in Russian).
13. Samanta B., Ghosh S., Panda G. K., Saha P. K. Chaos control on current-mode controlled DC-DC boost converter using TDFC, 2017 IEEE Calcutta Conference (CALCON), Kolkata, IEEE, 2017, pp. 159—163.
14. Bueno R. S., Marrero J. L. R. Application of the OGY method to the control of chaotic DC-DC converters: theory and experiments, 2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings, Geneva, Switzerland, Presses Polytech. Univ. Romandes, 2000, vol. 2, pp. 369—372.
15. Andriyanov A. I. Development of the theory of control of nonlinear dynamic processes of pulsed power supply systems: dissertatsiya doktora tekhnicheskikh nauk, Bryansk, 2022, 515 p. (in Russian).
16. Error Amplifier Limitations in High Performance Regulator Applications [web], Texas Instruments (official website), available at: https://www.ti.com/lit/pdf/snva411 (date of access: 20.02.2022).
17. Demirchyan K. S., Butyrin P. A. Modeling and machine calculation of electrical circuits: uchebnoe posobie, Moscow, Vysshaya shkola, 1988, 335 p. (in Russian).
18. Rybalka S. Design and modelling of operational amplifier for energy systems / S. Rybalka, A. Demidov, E. Kulchenkov, VIII International Conference on Advanced Agritechnologies, Environmental Engineering and Sustainable Development (AGRITECH-VIII 2023), 2023, vol. 390, pp. 06029.
19. Andriyanov A. I. Parallel program for studying the nonlinear dynamics of switching power converters "AHaos Cluster", software registration certificate RU 2021617613, pub. 18.05.2021. app. № 2021616876 dated 04.05.2021 (in Russian).
Review
For citations:
Andriyanov A.I., Malakhanov A.A., Sitnikov Yu.A. Switching Converters Dynamics Considering Non-Ideality of the Error Amplifier within the Analogue Control System. Mekhatronika, Avtomatizatsiya, Upravlenie. 2024;25(3):121-131. (In Russ.) https://doi.org/10.17587/mau.25.121-131