Robust control design of multiple resonant controllers for sinusoidal tracking and harmonic rejection in Uninterruptible Power Supplies

This paper presents a robust control strategy for tracking sinusoidal reference signals with zero steady state error and harmonic compensation in Uninterruptible Power Supplies - UPS. Multiple resonant controllers are derived for DC-AC inverters when supplying energy to (uncertain) nonlinear loads to obtain a nice tradeoff between transient response and disturbance rejection regardless possible load variations. The controller parameters are determined by means of a convex optimization problem subject to a set of linear matrix inequalities (LMIs). Real time experiments demonstrate the potentials of the proposed approach for controlling UPS systems.

[1]  Paolo Mattavelli,et al.  Repetitive-Based Controller for a UPS Inverter to Compensate Unbalance and Harmonic Distortion , 2007, IEEE Transactions on Industrial Electronics.

[2]  Ying-Yu Tzou,et al.  Discrete sliding-mode control of a PWM inverter for sinusoidal output waveform synthesis with optimal sliding curve , 1996 .

[3]  Bruce A. Francis,et al.  The internal model principle of control theory , 1976, Autom..

[4]  S. Fukuda,et al.  Application of a sinusoidal internal model to current control of three-phase utility interface converters , 2005 .

[5]  S. Fukuda,et al.  A novel current tracking method for active filters based on a sinusoidal internal model , 2000, Conference Record of the 2000 IEEE Industry Applications Conference. Thirty-Fifth IAS Annual Meeting and World Conference on Industrial Applications of Electrical Energy (Cat. No.00CH37129).

[6]  Prasad N. Enjeti,et al.  DSP control of high-power UPS systems feeding nonlinear loads , 1996, IEEE Trans. Ind. Electron..

[7]  J. Sun,et al.  Averaged modelling of switching power converters: reformulation and theoretical basis , 1992, PESC '92 Record. 23rd Annual IEEE Power Electronics Specialists Conference.

[8]  Vadim I. Utkin,et al.  Sliding mode control design principles and applications to electric drives , 1993, IEEE Trans. Ind. Electron..

[9]  Luis Sainz,et al.  Characterization of non-linear load behavior , 2008 .

[10]  Shoji Fukuda,et al.  A novel current-tracking method for active filters based on a sinusoidal internal model [for PWM inv , 2001 .

[11]  Jan Swevers,et al.  Robust high-order repetitive control: Optimal performance trade-offs , 2008, Autom..

[12]  Poh Chiang Loh,et al.  A comparative analysis of multiloop voltage regulation strategies for single and three-phase UPS systems , 2003 .

[13]  Martin Häfele,et al.  Repetitive control of MIMO systems using Hinfinity design , 1999, Autom..

[14]  M. Liserre,et al.  Evaluation of Current Controllers for Distributed Power Generation Systems , 2009, IEEE Transactions on Power Electronics.

[15]  Humberto Pinheiro,et al.  Comparison of digital control techniques with repetitive integral action for low cost PWM inverters , 2003 .

[16]  M. Liserre,et al.  Multiple harmonics control for three-phase grid converter systems with the use of PI-RES current controller in a rotating frame , 2006, IEEE Transactions on Power Electronics.

[17]  Ying-Yu Tzou,et al.  Adaptive repetitive control of PWM inverters for very low THD AC-voltage regulation with unknown loads , 1999 .

[18]  Daniel Coutinho,et al.  Multiple-Loop H-Infinity Control Design for Uninterruptible Power Supplies , 2007, IEEE Transactions on Industrial Electronics.

[19]  Fernando Paganini,et al.  A Course in Robust Control Theory , 2000 .

[20]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[21]  S. Mazumder,et al.  Reaching Criterion of a Three-Phase Voltage-Source Inverter Operating With Passive and Nonlinear Loads and Its Impact on Global Stability , 2008, IEEE Transactions on Industrial Electronics.

[22]  Man Hyung Lee,et al.  A new single-phase five-level PWM inverter employing a deadbeat control scheme , 2003 .