Identification and multivariable control in state space of a permanent magnet synchronous generator

Danna Lisseth Albarracín Ávila, Jorge Ivan Padilla Buritica, Eduardo Giraldo Suarez

Abstract


In this paper, a scheme for online identification of multivariable systems (MIMO) and a linear state feedback control is considered. The identification algorithm takes into account the input/output behavior in order to obtain a linear state spaces model that describes adequately the system in discrete time. This representation is obtained by using an online identification method such as the projection algorithm. An optimal linear quadratic regulator is applied in discrete time, where the obtained state feedback control law minimizes the quadratic cost function to calculate the optimal gain matrix. The proposed methodology for identification and multivariable control is applied an evaluated in a wind turbine with a Permanent Magnet Synchronous Generator (PMSG).


Keywords


Control; identification; optimal gain; multivariable; linear model; feedback

Full Text:

PDF HTML

References


A. Rolán, A. Luna, G. Vázquez, D. Aguilar and G. Azevedo, "Modeling of a Variable Speed Wind Turbine with a Permanent Magnet Synchronous Generator", in International Symposium on Industrial Electronics, 2009, pp. 734-738.

N. Kodama, T. Matsuzaka and N. Inomata, "Power Variations of A Wind Turbine Generator Connecting to Power System". Proceedings of the 41st SICE Annual Conference SICE, 2002, pp. 3177-3182.

V. Verma and S. Tanton, "Disturbance Immune DFIG based Wind Energy Conversion System", in International Conference on Power, Energy and Control (ICPEC), 2013, pp. 642 - 647.

R. Shi and J. MacGregor, "A Framework for Subspace Identifications Methods", proceedings of the American Control Conference, 2001, pp. 3678 - 3683.

W. Larimore, "Canonical Variate Analysis for System Identification, Filtering and Adaptive Control", 29th IEEE Conference on Decision and Control, 1990, pp. 596-604.

I.W. Jamaludin, N.A. Wahab, S. Sahlan, Z. Ibrahim and M. F. Rahmat, "N4SID and MOESP Subspace Identification Methods", in 9th International Colloquium on Signal Precessing ans its Applications, 2013, pp. 140-145.

D. Giraldo and E. Giraldo, "A Multlivariable Approach for Adaptive System Estimation", 2007.

J. Fonseca and L. Rocha, "On the Convergence of DLQR Control System Design and Recurrences of Riccati and Lyapunov in Dynamic Programming Strategies", in the 13th International Conference on Modelling and Simulation, 201, pp. 26-31.

X. Yao, Y. Jing and Z. Xing, "Uninterrupted Operation of Doubly-Fed Induction Generator based Wind Turbine during Network", in International Conference on Electrical Machines and Systems, 2007, pp. 243-246.

S. Sánchez, M. Bueno, E. Delgado and E. Giraldo, "Optimal PI control of a wind energy conversion system using Particles Swarm", in Robotics and Automotive Mechanics Conference, 2009, pp. 332-337.

M. Yin, G. Li, M. Zhou and C. Zhao, "Modeling of the Wind Turbine with a Permanent Magnet Synchronous Generator for Integration", in Robotics and Automotive Mechanics Conference, 2009, pp. 332-337.

P. Antsaklis and A. Michel, Linear Systems, New York: McGraw-Hill, 1997.

D. Albarracín-Ávila and E. Giraldo, “Adaptive Optimal Multivariable Control of a Permanent Magnet Synchronous Generator”, in 2014 IEEE PES Transmision and Distribution Conference and Exposition, 2014, ISBN: 978-1-4799-6251-8.




DOI: http://dx.doi.org/10.18180/tecciencia.2014.16.7

Refbacks

  • There are currently no refbacks.


Copyright (c) 2015 TECCIENCIA Journal