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**Robust nonlinear control of shunt active filters for harmonic current compensation.**
*(English)*
Zbl 1111.93014

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.

### 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
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\textit{L. Marconi} et al., Automatica 43, No. 2, 252--263 (2007; Zbl 1111.93014)

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### References:

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