Synchronization of the Electric Power Network in the Conditions of High-Frequency Measurement Noises
https://doi.org/10.17587/mau.21.584-594
Abstract
The problem of robust synchronization of the electrical power network with unknown parameters is considered in the present paper. The load angles of each generator with superimposed additive high frequency noises are available for measurement. An algorithm has been synthesized to reduce the influence of noises on measurement signals and to ensure synchronization of the network in normal mode and in emergency situations associated with a sudden change in the conuctivity of power lines. To synthesize the control algorithm, the new approach is used which makes it possible to independently control the quality of noise filtering and the quality of the stabilization error of the output variable. The conditions guaranteeing the stability of the system are obtained. The simulation results have shown that the designed control system of a network of electric generators, when only noisy indications of load angles are available for measurement, provides better transient quality indicators compared to schemes of R. Ortega (France) and D. Hill (Australia), where the entire state vector is available to measurements and the parameters of the generator model are partially known. Modeling also showed that the proposed algorithm ensures the stability of a closed-loop system if there are unmodeled dynamics in network model. We also note that under conditions of random measurement noises, the control goal cannot be guaranteed due to the unlimited nature of the noises, however, the simulation results illustrate the satisfactory quality of transients with nonzero random signals in noises.
Supporting agencies: The results of the section "A lgorithm for filtering high-frequency measurement noises" were obtained with the support of a grant of President of Russian Federation (No. MD- 1054.2020.8, Agreement No. 075-15-2020-184) at IPME R AS. The results of the section "Synthesis of the control algorithm" were obtained at IPME R AS with the support of the Russian Science Foundation (project No. 18-79-10104).
About the Authors
I. B. Furtat
Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Russian Federation
Russian Federation
Furtat Igor B., Professor, Dr. of Tech. Sc.
St. Petersburg, 199178
V. N. Nekhoroshikh
Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Russian Federation
St. Petersburg, 199178
Russian Federation
St. Petersburg, 199178
P. A. Gushchin
Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Russian Federation
St. Petersburg, 199178
Russian Federation
St. Petersburg, 199178
Y. V. Chugina
Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
Russian Federation
St. Petersburg, 199178
Russian Federation
St. Petersburg, 199178
References
1. Dorofeev V. V., Makarov A. A. Active-adaptive network — a new quality of the Unified Energy System of Russia, Energoekspert, 2009, no. 4, pp. 28—35.
2. Gordon M., Hill D. J. Global transient stability and voltage regulation for multimachine power systems, IEEE Power and Energy Society General Meeting — Conversion and Delivery of Electrical Energy in the 21st Century, 2008, pp. 1—8.
3. Barabanov A., Dib W., Lamnabhi-Lagarrigue F., Ortega R. On transient stabilization of multi-machine power systems: a "globally" convergent controller for structure-preserving models, 17th World Congress, IFAC, Seoul 2008, pp. 9398—9403.
4. Kuzmenko A. A. Non-linear adaptive control of a turbogenerator, News of the Russian Academy of Sciences. Theory and control systems, 2008, no. 1, pp. 112—119.
5. Dib W., Ortega R., Hill D. Transient stability enhancement of multi-machine power systems: synchronization via immersion of pendular system, Asian Journal of Control, 2014, vol. 16, no. 1, pp. 50—58.
6. Fradkov A. L., Furtat I. B. Robust control of a network of electric generators, Automation and Remote Control, 2013, no. 11, pp. 100—113.
7. Furtat I. B., Chugina Yu. V. Disturbance compensation in the problem of controlling a network of electric generators, Izvestiya R AS. Theory and control systems, 2016, no. 1, pp. 124—133.
8. Sanfelice R., Praly L. On the preformance of highgain observers with gain adaptation under measurement noise, Automatica, 2011, vol. 47, pp. 2165—2176.
9. Boizot N., Busvelle E., Gauthier J. An adaptive high-gain observer for nonlinear systems, Automatica, 2010, vol. 46, pp. 1483—1488.
10. Ahrens J., Khalil K. High-gain observers in the presence of measurement noise: A switched-gain approach, Automaica, 2009, vol. 45, pp. 936—943.
11. Prasov A. Khalil H. A nonlinear high-gain observer for systems with measurement noise in a feedback control framework, IEEE Trans. Automat. Contr., 2013, vol. 58, no. 3, pp. 569—580.
12. Astolfi D., Marconi L. A high-gain nonlinear observer with limited gain power, IEEE Trans. Automatic Control, 2015, vol. 60, no. 11, pp. 3059—3064.
13. Wang L., Astolfi D., Hongye S., Marconi L., Isidori A. Output stabilization for a class of nonlinear systems via high-gain observer with limited gain power, Proc. 1st IFAC Conference on Modeling, Identification and Control of Nonlinear Systems, MICNON 2015, Saint Petersburg, Russia, IFAC-PapersOnLine, vol. 48, no. 11, pp. 730—735.
14. Esfandiari F., Khalil H. K. Output feedback stabilization of fully linearizable systems, International Journal of Control, 1992, vol. 56, no. 5, pp. 1007—1037.
15. Miroshnik I. V., Nikiforov V. O., Fradkov A. L. Nonlinear and adaptive control of complex dynamic systems, St. Petersburg, Science, 2000.
16. Nekhoroshikh A., Furtat I. Robust Stabilization of Linear Plants under Uncertainties and High-Frequency Measurement Noises, Proc. of the 25th Mediterranean Conference on Control and Automation, Malta, 2017.
17. Anderson P. M., Fouad A. A. Power system control and stability, Iowa, Iowa State University Press, 1977.
18. Agaev R. P., Chebotarev P. Yu. Matrix of maximum outgoing forests of a digraph and its application, Automatica, 2000, no. 9, pp. 15—43.
19. Furtat I. B., Fradkov A. L., Liberzon D. Compensation of disturbances for MIMO systems with quantized output, Automatica, 2015, vol. 60, pp. 239—244.
20. Zhezhelenko I. V. Higher harmonics in power supply systems of industrial enterprises, Moscow, Energoatomizdat, 1984.
21. Fink L. M. Theory of discrete message transmission, Moscow, Soviet radio, 1970.
22. Voronov A. A. Theory of automatic control. Part 2. The theory of nonlinear and special automatic control systems, Moscow, High School, 1986.
Review
For citations:
Furtat I.B., Nekhoroshikh V.N., Gushchin P.A., Chugina Y.V. Synchronization of the Electric Power Network in the Conditions of High-Frequency Measurement Noises. Mekhatronika, Avtomatizatsiya, Upravlenie. 2020;21(10):584-594. (In Russ.) https://doi.org/10.17587/mau.21.584-594
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