Marconi, Lorenzo; Ronchi, Fabio; Tilli, Andrea Robust nonlinear control of shunt active filters for harmonic current compensation. (English) Zbl 1111.93014 Automatica 43, No. 2, 252-263 (2007). Summary: An advanced control strategy of shunt active filters (SAF) aiming to compensate for harmonic current in the electric supply grid is proposed. The SAF considered here is suitable for three-phase three-wire current harmonic compensation and is based on AC/DC three-phase boost converter topology. Robust control of the active-reactive current/power delivered by the SAF is designed exploiting the internal model principle. The stabilization of the DC-link voltage dynamics is addressed along with the fulfillment of the harmonics compensation objective. The two-time scale behavior of the SAF is exploited to apply the averaging theory in the control design. Experiments are provided to show the effectiveness of the proposed solution. Cited in 4 Documents MSC: 93B35 Sensitivity (robustness) 93C70 Time-scale analysis and singular perturbations in control/observation systems 78A55 Technical applications of optics and electromagnetic theory 93C15 Control/observation systems governed by ordinary differential equations 93C05 Linear systems in control theory Keywords:shunt active filter control; robust control; output regulation; singular perturbation; averaging theory PDF BibTeX XML Cite \textit{L. Marconi} et al., Automatica 43, No. 2, 252--263 (2007; Zbl 1111.93014) Full Text: DOI References: [2] Akagi, H.; Nabae, A., Control strategy of active power filters using multiple voltage source pwm converters, IEEE Transactions on Industry Application, 22, 460-465 (1986) [4] Chandra, A.; Singh, B.; Al-Haddad, K., An improved control algorithm of shunt active filter for voltage regulation, harmonic elimination, power-factor correction, and balancing of nonlinear loads, IEEE Transactions on Power Electronics, 15, 495-507 (2000) [5] Van Harmelen, G. L.; Enslin, J. H.R., Real-time dynamic control of dynamic power filters in supplies with high contamination, IEEE Transactions on Power Electronics, 8, 301-308 (1993) [6] Jeong, S.-Gi.; Woo, M.-Ho., Dsp-based active power filter with predictive current control, IEEE Transactions on Industrial Electronics, 44, 329-336 (1997) [7] Kazmierkowski, M. P.; Malesani, L., Current control techniques for three-phase voltage-source pwm converters: a survey, IEEE Transactions on Industrial Electronics, 45, 691-703 (1998) [10] Mattavelli, P., A closed-loop selective harmonic compensation for active filters, IEEE Transactions on Industry Applications, 37, 81-89 (2001) [13] Rastogi, M.; Mohan, N.; Edris, A. A., Hybrid-active filtering of harmonic currents in power systems, IEEE Transactions on Power Delivery, 10, 1994-2000 (1995) [16] Singh, B.; Al-Haddad, K., A review of active filters for power quality improvement, IEEE Transactions on Industrial Electronics, 46, 960-971 (1999) [17] Teel, A. R.; Moreau, L.; Nesic, D., A unified framework for input-to-state stability in systems with two time scales, IEEE Transactions Automatic Control, 48, 1526-1544 (2003) · Zbl 1364.93581 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.