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Selection of Output Voltage Compensators Gains in Two Cascaded Boost Converters with Input Filters by Means of the \({\mathfrak{D}}\)-Decomposition Technique

Author

Listed:
  • Karol Najdek

    (Department of Electrical Power Engineering, Faculty of Electrical Engineering, Wrocław University of Science and Technology, 50370 Wrocław, Poland)

  • Radosław Nalepa

    (Department of Electrical Power Engineering, Faculty of Electrical Engineering, Wrocław University of Science and Technology, 50370 Wrocław, Poland)

  • Robert Lis

    (Department of Electrical Power Engineering, Faculty of Electrical Engineering, Wrocław University of Science and Technology, 50370 Wrocław, Poland)

Abstract

In this paper, the D -decomposition technique is investigated as an intuitive method for finding the non-linear trajectories of PI-compensator gains. The trajectories reflect the desired dynamic properties at a system level specified by the gain and the phase margin (GMPM) in the frequency domain. They are presented as parametric curves in the proportional and the integral gains coordinates in form of K I = f ( K P ) functions. The curves are inscribed into global stability boundaries (GSB). The corresponding Nyquist plots are included for comparison. The analysis is based on a system consisting of two serial-connected boost converters. Each converter has its input filter. The major parasitic components of the system are taken into account during the mathematical and simulation modelling. The control circuit time delays and non-linear semiconductors characteristics are also included. A complete set of practically useful system-level transfer functions in form of mathematical formulas is included. Selected aspects, such as the control-to-output voltage and the control-to-input current of one sub-system of the simulation model, have been verified experimentally. The presented results clearly indicate the need for interactions between the sub-systems of a system to be taken into account during controller gains selection.

Suggested Citation

  • Karol Najdek & Radosław Nalepa & Robert Lis, 2021. "Selection of Output Voltage Compensators Gains in Two Cascaded Boost Converters with Input Filters by Means of the \({\mathfrak{D}}\)-Decomposition Technique," Energies, MDPI, vol. 14(18), pages 1-27, September.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:18:p:5883-:d:637465
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    References listed on IDEAS

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    1. Martín Antonio Rodríguez Licea & Francisco Javier Perez Pinal & Alejandro Israel Barranco Gutiérrez & Carlos Alonso Herrera Ramírez & Jose Cruz Nuñez Perez, 2018. "A Reconfigurable Buck, Boost, and Buck-Boost Converter: Unified Model and Robust Controller," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-8, March.
    2. Christos Yfoulis, 2019. "An MPC Reference Governor Approach for Enhancing the Performance of Precompensated Boost DC–DC Converters," Energies, MDPI, vol. 12(3), pages 1-18, February.
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