Hybrid Tuning of a Boost Converter PI Voltage Compensator by Means of the Genetic Algorithm and the D-Decomposition

Radosław Nalepa, Karol Najdek and Błażej Strong
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Radosław Nalepa: Department of Electrical Power Engineering, Faculty of Electrical Engineering, Wrocław University of Science and Technology, PL50370 Wrocław, Poland
Karol Najdek: Department of Electrical Power Engineering, Faculty of Electrical Engineering, Wrocław University of Science and Technology, PL50370 Wrocław, Poland
Błażej Strong: Department of Electrical Power Engineering, Faculty of Electrical Engineering, Wrocław University of Science and Technology, PL50370 Wrocław, Poland

Energies, 2020, vol. 14, issue 1, 1-20

Abstract: In this paper the D-decomposition technique is investigated as a source of non-linear boundaries used with the Genetic Algorithm (GA) search of a PI voltage compensator gains of the boost converter operating in Continuous Conduction Mode (CCM). The well known and appreciated boost converter has been chosen as a test object due to its right-half plane zero in the control-to-output ( c 2 o ) voltage transfer function. The D-decomposition, as a technique relying on the frequency sweeping, clearly indicates not only the global stability but, in its extended version, regions satisfying the required gain (GM) and phase (PM) margins. Such results are in form of easy to interpret functions K I = f ( K P ) . The functions are easy to convert to the GA constraints. The GA search, with three different performance indexes as the fitness functions, is applied to a control structure with time delays basing on identified c 2 o voltage transfer functions. The identification took place in an experiment and in simulation. Outcomes of the identification are compared to mathematically derived formula taking into account certain parasitics. A complete set of practically useful mathematical formulas together with their validation in simulation and experiment is included.

Keywords: D-decomposition technique; boost converter; genetic algorithm; PI voltage compensator (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: 2020
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