Abstract

This article addresses the problem of enhancing the performance of boost DC–DC converters that are already compensated either in voltage-mode by a common proportional–integral–derivative (PID, Type III) primary controller or in current-mode with a two-loop PI control law. Improved performance may be obtained with the addition of a secondary controller/prefilter in the form of a reference governor. This complementary scheme adjusts the imposed voltage reference input signal dynamically and can be designed in an optimal fashion via the model predictive control (MPC) methodology. Our evaluation with numerical simulation in MATLAB suggests that this two-level controller can effectively enhance the performance of a DC–DC boost converter in a wide operating range without imposing extra requirements or limitations. A simple linear MPC design in explicit form is employed in this approach, which is computationally tractable for digital microprocessor implementation. This work paves the way for future research involving reference governor ideas in the area of bilinear power electronic converters.

Highlights

  • Reference governor techniques have only very recently appeared in the power electronics field [1,2,3].Such ideas have been developed theoretically for over two decades and already applied to other engineering fields, mainly in the automotive industry and robotics

  • The development of an optimal and efficient reference governor using linear model predictive control (MPC) ideas is commonly performed in a linear discrete-time state-space formulation

  • Assuming controller, which may may be be worth worth keeping keeping for for aa cheap cheap and/or and/or safe that aa digital digital microprocessor microprocessor can can be be integrated integrated into into the the existing existing control control circuit, circuit, aa secondary secondary controller controller that in the form of a reference governor that dynamically modifies the set-point of the primary controller in the form of a reference governor that dynamically modifies the set-point of the primary controller may be be aa good good idea, idea, provided provided the may the implementation implementation cost cost and and complexity complexity are are kept kept low

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Summary

Introduction

Reference governor techniques have only very recently appeared in the power electronics field [1,2,3]. The idea of using an MPC reference governor scheme is applied for the first time, to the best of the author’s knowledge, to a voltage-mode-controlled boost DC–DC converter. Energies 2019, 12, 563; doi:10.3390/en12030563 www.mdpi.com/journal/energies provides improved performance without imposing more stringent operational requirements (higher currents or component stress) or extra constraints This framework can offer improvements and more degrees of freedom compared to the results of [22], at the expense of added complexity. A special form of practical PID with three poles and two zeros, a double pole (second-order filter for high-frequency roll-off and noise mitigation), and a double zero (offering the necessary phase boost) is typically used in power electronics It is known as the Type III compensator (see Figure 2), and its design is usually performed based on the so-called small-signal model of the converter in the frequency domain [23].

MPC Reference Governor Design for a Voltage-Mode-Controlled Converter
Converter State-Space Modeling
PID Controller State-Space Form
Reference Governor MPC Design and Tuning
Nonlinear Current Observer
Numerical Simulation Results
Comparative
Reference
Inductor
Effect
Two-Loop PI Controller State-Space Form
Current-Mode Reference Governor MPC Formulation
Numerical
Design
10. Comparative responses of to thethese two PIsituations?
24 V 24 to 20
12. Comparative current-mode reference
Conclusions
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