Calculation optimal control system parameters for nonlinear dynamic processes of pulse voltage converters
Abstract and keywords
Abstract (English):
A technique for choosing the optimal control system parameters for DC voltage converters is proposed, based on the joint application of the theory of linear automatic control systems and the theory of nonlinear dynamic systems. A small-signal structural dynamic model of an open loop of an automatic control system based on a direct step-up voltage converter with a control system for nonlinear dynamic processes based on a delayed feedback method is considered. Applying this model makes it possible to carry out a scientifically substantiated choice of the control system parameters for nonlinear dynamic processes using the methods of linear automatic control system theory. Bode diagrams of an open loop system are calculated without additional control of nonlinear dynamic processes and with additional control. The efficiency of using control systems for nonlinear dynamic processes is shown, which allows eliminating undesirable dynamic modes without additional parametric synthesis of the controller and, consequently, without reducing the system performance as a whole. In addition, applying these methods allows adjusting the controller parameters to increase the system performance without switching the system to undesirable dynamic modes. The results obtained can be applied at the stage of designing wide-class DC voltage pulse converters

Keywords:
switching voltage converter, nonlinear dynamics, delayed feedback, automatic control system, frequency characteristics
Text
Publication text (PDF): Read Download
References

1. Zhusubaliyev Zh.T., Mosekilde E. Bifurcations and Chaos in Piece-Wise-Smooth Dynamical Systems. Singapore: World Scientific Pub Co Inc; 2003.

2. Kobzev A.V. Mikhalchenko G.Ya., Andriyanov A.I., Mikhalchenko S.G. Nonlinear Dynamics of Semiconductor Converters. Tomsk: Tomsk State University of Control Systems and Radioelectronics; 2007.

3. Andriyanov A.I. Application of Adaptive Time Delayed Feedback Control Method for Transistor Power Converters. Bulletin of Moscow Power Engineering Institute. 2015;5:111-117.

4. Natsheh AN, Janson NB, Kettleborough JG. Control of Chaos in a DC-DC Boost Converter. In: 2008 IEEE International Symposium on Industrial Electronics. Cambridge (UK): IEEE; 2008. p. 317-322.

5. Magnitsky N.A., Sidorov S.V. New Methods for Chaotic Dynamics. Moscow: Editorial URSS; 2004.

6. Dragan F. Controlling Chaos in a Current Mode Controlled Boost Converter Using Ott-Grebogi-Yorke and Derivate Methods. In: Proceedings of the 7th WSEAS International Conference on Automation & Information; Stevens Point, Wisconsin (USA): World Scientific and Engineering Academy and Society: 2006. p. 62-65.

7. Andriyanov AI. A Comparative Analysis of Efficiency of Nonlinear Dynamics Control Methods for a Buck Converter. In: Proceedings of IOP Conference. Series: Materials Science and Engineering. Institute of Physics Publishing: 2017. p. 1-9.

8. Kavitha A, Uma G. Control of Chaos by Resonant Parametric Perturbation in a Current Mode Controlled Buck-Boost DC-DC Converter. In: Proceedings of the 23rd Annual IEEE Applied Power Electronics Conference and Exposition; Austin, TX (USA): IEEE: 2008. p. 323-327.

9. Dmitrikov V.F., Shushpanov D.V. Stability and Electromagnetic Compatibility of Devices and Power Supply Systems. Moscow: Hot Line-Telecom; 2019.

10. Andriyanov AI. Investigating the Dynamics of a Buck Converter with Time-Delay Feedback Control. In: Proceedings of IOP Con-ference Series: Materials Science and Engineering. 2022;1227(1):012011.

11. Severns R.P., Bloom G.E. Modern DC-to-DC Switchmode Power Converter Circuits; 1985.

12. Meleshin V.I. Transistor Converter Technology. Moscow: Technosfera; 2005.

13. Garg MM, Hote YV, Pathak MK, Behera L. An Approach for Buck Converter PI Controller Design Using Stability Boundary Locus In: Proceedings of IEEE/PES Transmission and Distribution Conference and Exposition (T&D). Denver: IEEE: 2018. p. 1-5.

14. Apkarian P., Dao M.N., Noll D. Parametric Robust Structured Control Design. IEEE Transactions on Automatic Control. 2015;60(7):1857-1869.

15. Apkarian P Gahinet P, Buhr C. Multi-Model, Multi-Objective Tuning of Fixed-Structure Controllers. In: Proceedings of Euro-pean Control Conference (ECC); Strasbourg (France): IEEE: 2014. p. 856-861.

16. Apkarian P. Noll D. Nonsmooth H Synthesis. IEEE Transactions on Automatic Control. 2006;51(1):71-86.

17. Apkarian P. Noll D. Nonsmooth Optimization for Multiband Frequency Domain Control Design. Automatica. 2007;43(4):724-731.

18. Bruinsma N.A., Steinbuch M. A Fast Algorithm to Compute the H-Norm of a Transfer Function Matrix. Systems and Control Letters. 1990;14(4):7.

Login or Create
* Forgot password?