Optimal LQG controller to adjust the rudder supplying water to the turbine of small and medium hydro power plants
Introduction: This paper is the result of the research “Optimal LQG controller to open rudder supplying water to turbine of small and medium hydro power plants” developed in the Electric Power University in Vietnam in 2019.
Problem: To maintain the frequency of the emitted voltage of the generator at the nominal value of 50 Hz, the authors present a solution to apply the optimal control theory to create a command to control the rudder angle to adjust the water flow into the turbine.
Objective: The article presented about the order value formation algorithm, to stabilize the frequency of transmission voltage at 50 Hz standard value.
Methodology: In this paper, the laws to control the rudder supplying water to turbine of small and medium hydro power plants are synthesized by optimal control theory. To establish optimal control rules, the paper proposes using the Kalman filter to estimate the state of the object. By that, the frequency of generated voltage will be stabilized under changing load. The efficacy of the steady and dynamic performance of the control strategy was verified using Matlab/Simulink software.
Results: The proposed system can compensate for power fluctuations and is effective in terms of power regulation.
Conclusion: The algorithm presented in the paper is the basis for setting up the software when when designing and manufacturing the turbine - generator combination. Applying this algorithm, the process of adjusting the transmitted power according to the required load will be performed with quality.
Originality: This paper’s contribution lies in its employment of an effective optimal LQG control for varying operating conditions.
Limitations: The authors need to spend more time to the development and and test this algorithm and and implementing it in practice.
How to Cite
License
Copyright (c) 2021 Ingeniería Solidaria

This work is licensed under a Creative Commons Attribution 4.0 International License.
Cession of rights and ethical commitment
As the author of the article, I declare that is an original unpublished work exclusively created by me, that it has not been submitted for simultaneous evaluation by another publication and that there is no impediment of any kind for concession of the rights provided for in this contract.
In this sense, I am committed to await the result of the evaluation by the journal Ingeniería Solidaría before considering its submission to another medium; in case the response by that publication is positive, additionally, I am committed to respond for any action involving claims, plagiarism or any other kind of claim that could be made by third parties.
At the same time, as the author or co-author, I declare that I am completely in agreement with the conditions presented in this work and that I cede all patrimonial rights, in other words, regarding reproduction, public communication, distribution, dissemination, transformation, making it available and all forms of exploitation of the work using any medium or procedure, during the term of the legal protection of the work and in every country in the world, to the Universidad Cooperativa de Colombia Press.
Dang Tien Trung, Pham Tuan Thanh, “Control model for electric generators of medium and small hydroelectric factories,”Journal of military science and technology, no. 50, pp.55–64, 2017.
D. Tiomo, R. Wamkeue, “Dynamic Modeling and Analysis of a Micro-Hydro Power Plant for Microgrid Applications,” Electrical and Computer Engineering (CCECE) 2019 IEEE Canadian Conference, pp. 1-6, 2019.
Dianwei Qian, Jianqiang Yi, Xiangjie Liu, Xin Li, “GA-based fuzzy sliding mode governor for hydro-turbine,” Intelligent Control and Information Processing (ICICIP) 2010 International Conference, pp. 382-387, 2010.
L.N. Giang, L. Kaipei, “Simple backstepping control design for the rotor - Side converter of a DFIG wind turbine generator,” International Journal of Applied Mathematics and Statistics, vol. 51, no. 21, pp. 396-405, 2013.
D. Q. Dang, S. Wu, Y. Wang, W. Cai, “Model predictive control for maximum power capture of variable speed wind turbines,” Proceedings of the International Power Electronics Conference (IPEC ‘10), pp. 274–279, October, 2010.
N.T.H. Yen, C. Hongkun, L.N. Giang, “Study on VSC-HVDC grid topology of offshore wind farms,”Cluster Computing, 22, pp. 14803-14810, 2019.
S. Nourdine, H. Camblong, I. Vechiu, G. Tapia, “Comparison of wind turbine LQG controllers using individual pitch control to alleviate fatigue loads,” 2010 18th Mediterranean Conference on Control & Automation (MED), IEEE, 2010, pp. 1591–1596. doi:10.1109/MED.2010.5547822..
Chalang Hamarasheed, Sallehuddin Mohamed Haris, Zulkifli Mohd Nopiah, “Weighted mul-tiple model adaptive LQG and PI control for a hydro turbine plant,” Advanced Mechatronic Systems 2012 International Conference, pp. 656-661, 2012.
V.T. Hung, S.H. Chun, L.N. Giang, “The Control Method in Synchronous Frame for DVR to Mitigate the Balanced and Unbalanced Voltage Sag /Swells Phenomenon in Power Network,” Advances in Intelligent Systems and Computing, 1129 AISC, pp.1-14, 2020.
T.T. Ngoat, X.M. Zha, L.N. Giang, “Selecting optimal reactive compensation device for power system,” Applied Mechanics and Materials, 556-562, pp. 1560-1563, 2014.
Tran Huu Phuong, Mikhail P. Belov, Nguyen van Lanh, “State Estimation of Nonlinear Electromechanical System using Extended Kalman Filter”, IEEE Xplore, 2020.
K. Szabat, T. Orlowska-Kowalska, K. Dyrcz, “Extended Kalman filters in the control structure of two-mass drive system,” Bull. Pol. Acad. Sci. Tech. Sci., vol. 54, no. 3, pp. 315-325, 2006.
S. Breban, M. M. Radulescu, B. Robyns, “Direct Active and Reactive Power Control of Variable-Speed Doubly-Fed Induction Generator on Micro-Hydro Energy Conversion System,” pp. 1-6, IEEE, 2010.
C.P. Ion, C. Marinescu, “Control of parallel operating micro hydro power plants,” Optimization of Electrical and Electronic Equipment, pp.1204-1209, 2010.
Issam Salhi, SaId Doubabi, Najib Essounbouli, Abdelaziz Hamzaoui, “Application of mul-ti-model control with fuzzy switching to a micro hydro-electrical power plant,” Renewable Energy, Elsevier, Vol. 35, pp. 2071-2079, 2010.




