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Repetitive controllers for shunt active power filters – control design, implementation and stability analysis

Repetitive Regler für Shunt Active Power Filters – Reglerauslegung, Implementierung und Stabilitätsanalyse

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Abstract

To ensure power quality and to meet the grid standards, shunt active power filters based on voltage source inverters are widely used to compensate for fundamental reactive power and distortion power of non-linear loads, such as variable speed drives. For the compensation of the current harmonics, the well-known current control can be applied in multiple rotating frames via PI controllers or in the stationary frame via resonant controllers (or a combination of both). Since each harmonic is controlled by at least one controller, the computational effort rises proportionally to the number of harmonics to be compensated. An alternative control approach are repetitive controllers, which, in theory, offer the possibility to compensate for all harmonics through only one controller.

This paper discusses the application of repetitive controllers in the context of active power filters. It focuses on the control design, especially on the design of the low-pass filter used for the damping of the high-order poles of the transfer function of the repetitive controller, as well as on the implementation and stability analysis.

Zusammenfassung

Um die Netzqualität zu gewährleisten und die Netzstandards zu erfüllen, werden häufig aktive Leistungsfilter, die auf Stromrichtern mit Gleichspannungszwischenkreis basieren, zur Kompensation der Grundschwingungsblindleistung und der Verzerrungsblindleistung nichtlinearer Lasten, wie z. B. drehzahlvariabler Antriebe, eingesetzt. Für die Kompensation der Stromoberschwingungen kann die bekannte Stromregelung in mehreren rotierenden Bezugssystemen über PI-Regler oder im stationären Bezugssystem über resonante Regler (oder eine Kombination aus beiden) angewendet werden. Da jede Oberschwingung durch mindestens einen Regler geregelt wird, steigt der Rechenaufwand proportional zur Anzahl der zu kompensierenden Oberschwingungen. Ein alternativer Regelungsansatz sind repetitive Regler, die theoretisch die Möglichkeit bieten, alle Oberschwingungen mit nur einem Regler zu kompensieren.

In diesem Beitrag wird die Anwendung von repetitiven Reglern im Zusammenhang mit aktiven Leistungsfiltern diskutiert. Er konzentriert sich auf die Reglerauslegung, insbesondere auf die Auslegung des Tiefpassfilters, der zur Dämpfung der Pole hoher Ordnung in der Übertragungsfunktion des repetitiven Reglers verwendet wird, sowie auf die Implementierung und die Stabilitätsanalyse.

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Authors and Affiliations

  1. Innovation & Technology, Mobility Drives – DR-1i, J.M. Voith SE & Co. KG / DSG, St. Pöltener Straße 43, 89522, Heidenheim, Germany

    Swen Bosch

  2. Laboratory of Power Electronics and Electrical Drives, Aalen University of Applied Sciences, Aalen, Germany

    Jochen Staiger & Heinrich Steinhart

  3. Chair of Electrical Machines and Drives, Technical University of Dresden, Dresden, Germany

    Wilfried Hofmann

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  1. Swen Bosch
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Correspondence to Swen Bosch.

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Jochen Staiger, Heinrich Steinhart and Wilfried Hofmann contributed equally to this work.

Appendix

Appendix

 

Fig. 21
figure 21

Difference of the magnitude response \(|G_{\text{MAV}}|-|G_{\text{PT2}}|\) and the phase response \(\angle G_{\text{MAV}}-\angle G_{\text{PT2}}\) of the MAV-filter and the PT2-filter

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Table 3 Parameters
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Table 4 Transfer Functions
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Bosch, S., Staiger, J., Steinhart, H. et al. Repetitive controllers for shunt active power filters – control design, implementation and stability analysis. Elektrotech. Inftech. 140, 391–400 (2023). https://doi.org/10.1007/s00502-023-01134-4

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