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Robust Control of Shunt Active Power Filters: A Dynamical Model-Based Approach with Verified Controllability

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  • Jorge-Humberto Urrea-Quintero

    (Grupo en Manejo Eficiente de la Energía (GIMEL), Departamento de Ingeniería Eléctrica, Universidad de Antioquia (UdeA), Calle 70 No. 52-21, Medellín 050010, Colombia)

  • Nicolás Muñoz-Galeano

    (Grupo en Manejo Eficiente de la Energía (GIMEL), Departamento de Ingeniería Eléctrica, Universidad de Antioquia (UdeA), Calle 70 No. 52-21, Medellín 050010, Colombia)

  • Jesús M. López-Lezama

    (Grupo en Manejo Eficiente de la Energía (GIMEL), Departamento de Ingeniería Eléctrica, Universidad de Antioquia (UdeA), Calle 70 No. 52-21, Medellín 050010, Colombia)

Abstract

This paper presents the robust control of Three-Leg Split-Capacitor Shunt Active Power Filters (TLSC SAPFs) by means of structured H ∞ controllers for reactive, unbalanced, and harmonic compensation and the DC-link bus voltage regulation. Robust controller synthesis is performed based on the TLSC SAPF dynamical model including power losses in passive elements. Before the control implementation, a systematic procedure for the nonlinear controllability verification of the converter and its quantification using the set-theoretic approach is presented. Controllability verification serves to accurately design the SAPF’s operation region. Thus, a Voltage Oriented Control (VOC) structure is implemented by using two different approaches to determine the PI controller parameters: (1) the traditional Pole-Placement method (PP-PI) and (2) the H ∞ -PI structured synthesis approach, which leads to PI robust controllers. From the latter approach, two sets of parameters are obtained. The first set considers the nominal model ( H ∞ -PI), and the second one explicitly accounts for the model parametric uncertainties ( H ∞ -uPI). An optimization procedure is presented for obtaining the optimal H ∞ -PI and H ∞ -uPI controller parameters where four complementary constrains are defined to establish a trade-off between the controllers performance and robustness. The enforcement of constraints is later evaluated for each of three PI controllers obtained. This work aims to establish a common ground for the comparison of robust control strategies applied to TLSC APFs; therefore, the TLSC SAPF compensation performance is measured and compared with the performance indices: integral of the absolute error ( I A E ), integral of the time-weighted absolute error ( I T A E ), integral of the absolute control action ( I U A ), and maximum sensitivity ( M s ).

Suggested Citation

  • Jorge-Humberto Urrea-Quintero & Nicolás Muñoz-Galeano & Jesús M. López-Lezama, 2020. "Robust Control of Shunt Active Power Filters: A Dynamical Model-Based Approach with Verified Controllability," Energies, MDPI, vol. 13(23), pages 1-30, November.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:23:p:6253-:d:452169
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    References listed on IDEAS

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    1. Rafi, Fida Hasan Md & Hossain, M.J. & Rahman, Md Shamiur & Taghizadeh, Seyedfoad, 2020. "An overview of unbalance compensation techniques using power electronic converters for active distribution systems with renewable generation," Renewable and Sustainable Energy Reviews, Elsevier, vol. 125(C).
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    Cited by:

    1. Andrzej Szromba, 2021. "Is It Possible to Obtain Benefits by Reducing the Contribution of the Digital Signal Processing Techniques to the Control of the Active Power Filter?," Energies, MDPI, vol. 14(19), pages 1-25, September.

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