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 (c2o) 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 KI=f(KP). 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 c2o 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.
Highlights
Power electronics circuits (PEC) are as popular as never before in this era of rapidly evolving miscellaneous solutions for electric energy production, processing and use [1,2]
In the era of relatively large and cheap computing power supported by miscellaneous embedded digital signal processing platforms based on Digital Signal Processors (DSP) or Field Programmable Arrays (FPGA) some help could come with a generic approach to control solutions design basing on: (i.) an identified open-loop plant transfer function of interest, (ii.) control structure selection based on the transmittance model, and (iii.) intuitive gains selection guidelines dedicated to the control structure
In terms of the quality indexes used with unconstrained Genetic Algorithm (GA), one can notice that the IAE offers significant performance advantage in experiment over the two remaining
Summary
Power electronics circuits (PEC) are as popular as never before in this era of rapidly evolving miscellaneous solutions for electric energy production, processing and use [1,2]. In the era of relatively large and cheap computing power supported by miscellaneous embedded digital signal processing platforms based on Digital Signal Processors (DSP) or Field Programmable Arrays (FPGA) some help could come with a generic approach to control solutions design basing on: (i.) an identified open-loop plant transfer function of interest (this instead of analytically derived symbolic form), (ii.) control structure selection based on the transmittance model, and (iii.) intuitive gains selection guidelines dedicated to the control structure This is not a new concept [10] but its implementation is still challenging. Designing its control structure always calls for attention due to the fact that it is a non-linear object but has a right-half plane zero in its control-to-output transfer function [31] This in reality, in closed loop control case, causes additional drop (within ON-time of switching cycle) of the output voltage in situation when the voltage starts falling do to e.g., change of load. The conclusions and short outline for the future research are given in the last section
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