Optimum Control Strategy of Three-Phase Shunt Active Filter System

Authors: Mihaela Popescu, Alexandru Bitoleanu, Mircea Dobriceanu, Vlad Suru

Abstract:

The aim of this paper is to identify an optimum control strategy of three-phase shunt active filters to minimize the total harmonic distortion factor of the supply current. A classical PIPI cascade control solution of the output current of the active filterand the voltage across the DC capacitor based on Modulus–Optimum criterion is taken into consideration. The control system operation has been simulated using Matlab-Simulink environment and the results agree with the theoretical expectation. It is shown that there is an optimum value of the DC-bus voltage which minimizes the supply current harmonic distortion factor. It corresponds to the equality of the apparent power at the output of the active filter and the apparent power across the capacitor. Finally, predicted results are verified experimentally on a MaxSine active power filter.

Keywords: Active filtering, Controller tuning, Modulus Optimum criterion, Optimum control.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1085734

References:

[1] C.T. Pan, Y.S. Huang, and T.L. Jong, "A Constantly sampled current controller with switch status dependent inner bound," IEEE Trans. Ind. Electronics, vol. 50, no. 3, pp. 528-534, June 2003.
[2] B. Mazari and F. Mekri, "Fuzzy hysteresis control and parameter optimization of a shunt active power filter," Journal of Information Science and Engineering, 21, pp. 1139-1156, 2005.
[3] K.M. Tsang and W.L. Chan, "Design of single-phase active power filter using analogue cascade controller," IEE Proc.-Electr. Power Appl., vol. 153, no. 5, pp.735-741, September 2006.
[4] J. Chelladurai, G. Saravana Ilango, C. Nagamani, and S. Senthil Kumar, "Investigation of various PWM techniques for shunt active filter," International Journal of Electrical Systems Science and Engineering, vol. 1 no. 2, pp.87-93, 2008.
[5] K.J. Astrom and T. Hagglund, "PID controllers theory: Design and tuning," Instrument Society of America, Research Triangle Park, 1995.
[6] A.J.J. Rezek, C.A.D. Coelho, J.M.E. Vicente, J.A. Cortez, and P.R. Laurentino, "The modulus optimum (MO) method applied to voltage regulation systems: modeling, tuning and implementation," in Proc. International Conf. on Power System Transients, 24-28 June 2001, Rio de Janeiro (Brazil).
[7] C. Bajracharya, M. Molinas, J.A. Suul, and T. M.Undeland, "Understanding of tuning techniques of converter controllers for VSCHVDC," in Proc. Of Nordic Workshop on Power and Industrial Electronics, Espoo (Finland), June 9-11, 2008.
[8] C.H. Lee, "A survey of PID controller design based on gain and phase margins," International Journal of Computational Cognition, vol. 2, no..3, pp. 63-100, September 2004.
[9] P. Ladoux and M. Metz, "Utilisation de l'onduleur de tension mli pour la correction du facteur de puissance," La revue 3E.I, no. 28, pp. 5-15, March 2002.
[10] E.H. Watanabe, R.M. Stephan, and M. Aredes, "New concept of instantaneous active and reactive powers in electrical systems with generic loads," IEEE Transactions on Power Delivery, vol. 8, pp. 697- 703, 1993.
[11] A. Bitoleanu, M. Popescu, M. Dobriceanu, and F. Nastasoiu, "Current decomposition methods based on p-q and CPC theories for active filtering reasons," WSEAS Transactions on Circuits & Systems, vol. 7, pp. 869-878, October 2008.
[12] A. Bitoleanu, M. Popescu, M. Dobriceanu, "A New Interpretation of the Phasor Theory on Powers under Non-Sinusoidal Current," ACEMP-07 and ELECTROMOTION-07 Joint meeting, Bodrum Turkey, 10-12 September 2007.