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

Karol Najdek, Radosław Nalepa and Robert Lis
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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

Energies, 2021, vol. 14, issue 18, 1-27

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.

Keywords: \({\mathfrak{D}}\)-decomposition technique; boost converter; cascaded converters; PI voltage compensator; stability boundary (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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