Robust switched fractional controller for performance improvement of single phase active power filter under unbalanced conditions

Abstract

A novel controller is proposed to regulate the DC-link voltage of a single phase active power filter (SPAPF). The proposed switched fractional controller (SFC) consists of a conventional PI controller, a fractional order PI (FO-PI) controller and a decision maker that switches between them. Commonly, the conventional PI controller is used in regulation loops due to its advantages in steady-state but it is limited in transient state. On the other hand, the FO-PI controller overcomes these drawbacks but it causes dramatic degradation in control performances in steady-state because of the fractional calculus theory and the approximation method used to implement this kind of controller. Thus, the purpose of this paper is to switch to the PI controller in steady-state to obtain the best power quality and to switch to the FO-PI controller when external disturbances are detected to guarantee a fast transient state. To investigate the efficiency and accuracy of the SFC considering all robustness tests, an experimental setup has been established. The results of the SFC fulfill the requirements, confirm its high performances in steady and transient states and demonstrate its feasibility and effectiveness. The experiment results have satisfied the limit specified by the IEEE harmonic standard 519.

Keywords

conventional PI controller / fractional calculus (FC) / total harmonic distortion (THD) / Oustaloup continuous approximation (OCA) / single phase active power filter (SPAPF)

References

[1] De Araujo Ribeiro R L, de Oliveira Alves Rocha T, de Sousa R M, dos Santos Jr E C, Lima A M N. A robust DC-link voltage control strategy to enhance the performance of shunt active power filters without harmonic detection schemes. IEEE Transactions on Industrial Electronics, 2015, 62(2): 803–813

[2] Afghoul H, Krim F, Chikouche D, Beddar A. Fractional direct power control for active filter. In: Proceedings of IEEE 7th International Power Engineering and Optimization Conference. Langkawi, Malaysia, 2013, 228–233

[3] Rahmani S, Hamadi A, Al-Haddad K, Dessaint L A. A combination of shunt hybrid power filter and Thyristor-controlled reactor for power quality. IEEE Transactions on Industrial Electronics, 2014, 61(5): 2152–2164

[4] Benaissa A, Rabhi B, Moussi A. Power quality improvement using fuzzy logic controller for five-level shunt active power filter under distorted voltage conditions. Frontiers in Energy, 2014, 8(2): 212–220

[5] Limongi L R, da Silva Filho L R, Genu L G B, Bradaschia F, Cavalcanti M C. Transformerless hybrid power filter based on a six-switch two-leg inverter for improved harmonic compensation performance. IEEE Transactions on Industrial Electronics, 2015, 62(1): 40–51

[6] Srinath S, Kumar C, Selvan M P. A simple digital control algorithm for three phase shunt active filter: simulation and experimentation. Frontiers in Energy, 2014, 8(1): 119–128

[7] Heerdt J A, Coutinho D F, Mussa S A, Heldwein M L. Control strategy for current harmonic programmed AC active electronic power loads. IEEE Transactions on Industrial Electronics, 2014, 61(8): 3810–3822

[8] Chennai S, Benchouia M T. Unified power quality conditioner based on a three-level NPC inverter using fuzzy control techniques for all voltage disturbances compensation. Frontiers in Energy, 2014, 8(2): 221–239

[9] Taher S A, Fini M H, Aliabadi S F. Fractional order PID controller design for LFC in electric power systems using imperialist competitive algorithm. Ain Shams Engineering Journal, 2014, 5(1): 121–135

[10] Oustaloup A, Mathieu B, Lanusse P. The CRONE control of resonant plants: application to a flexible transmission. European Journal of Control, 1995, 1(2): 113–121

[11] Oustaloup A. Non-integer Derivation. Paris: Hermes, 1995

[12] Sondhi S, Hote Y V. Fractional order PID controller for load frequency control. Energy Conversion and Management, 2014, 85: 343–353

[13] Podlubny I. Fractional order systems and PI^λD^µ controllers. IEEE Transactions on Automatic Control, 1999, 44(1): 208–214

[14] Li H S, Luo Y, Chen Y Q. A fractional order proportional and derivative (FOPD) motion controller: tuning rule and experiments. IEEE Transactions on Control Systems Technology, 2010, 18(2): 516–520

[15] Diethelm K, Ford N J, Freed A D. A predictor–corrector approach for the numerical solution of fractional differential equations. Nonlinear Dynamics, 2002, 29(1/4): 3–22

[16] Hwang C, Leu J F, Tsay S Y. A note on time-domain simulation of feedback fractional-order systems. IEEE Transactions on Automatic Control, 2002, 47(4): 625–631

[17] Poinot T, Trigeassou J C. A method for modeling and simulation of fractional systems. Signal Processing, 2003, 83(11): 2319–2333

[18] Chen Z, Yuan X, Ji B, Wang P, Tian H. Design of a fractional order PID controller for hydraulic turbine regulating system using chaotic non-dominated sorting genetic algorithm II. Energy Conversion and Management, 2014, 84: 390–404

[19] Matas J, de Vicuña L G, Miret J, Guerrero J M, Castilla M. Feedback linearization of a single-phase active power filter via sliding mode control. IEEE Transactions on Power Electronics, 2008, 23(1): 116–125

[20] Wu J C. Utility-current feed forward-based control for a single-phase active power filter. International Journal of Electronics, 2011, 98(2): 185–196

Acknowledgments

The authors greatly acknowledge the support and cooperation of Renewable Energy Laboratory personnel in Setif-1 University for providing data, material and advices, especially B. Babes. Also, the authors would like to thank the team of LASS laboratory, M’sila University.

RIGHTS & PERMISSIONS

2015 Higher Education Press and Springer-Verlag Berlin Heidelberg