Abstract

This paper proposes fractional and integer order sliding mode controllers (SMC) for the high voltage (HV) bridge control in a bidirectional dual active (DAB) converter. The proposed controllers are derived based on nonlinear model of DAB converter and the closed loop stability is ensured using integer and fractional order Lyapunov theorems. Fractional order controllers offer more degree of freedom to adjust the desired response of the system, however the implementation issues of such controllers are rarely explored. Both variants of control schemes are implemented on a DSP control card, and hardware-in-the-loop (HIL) and processor-in-the-loop (PIL) experiments are conducted using rapid control prototyping technique. In order to choose the most suitable robust controller, experimental data for the two performance indices namely robustness and computational resources utilization is compared for both integer and fractional order control schemes. The experimental results demonstrate that the integer order SMC utilizes reduced computational resources as compared to the fractional order SMC. Moreover it is further verified that integer order SMC exhibits comparable robustness as fractional order SMC under all test conditions.

Highlights

  • In modern power grids, the isolated bidirectional DC–DC converters are finding interesting applications

  • The lookup table is calculated based on the nominal parameters of the dual active bridge (DAB) converter, the control performance of the system will degrade with parametric uncertainties

  • In the above mentioned work, the control signal is generated based on the instantaneous current instead of the average current, the control signal can suffer from large spikes and it can lead the system to instabilities in the absence of proper filtration

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Summary

Introduction

The isolated bidirectional DC–DC converters are finding interesting applications. In Liu et al (2016), a fuzzy logic based control system is proposed for the current loop of the DAB converter. Inspired by the precedent research work, this proposal aims to fill the research gap by investigating the fractional calculus based SMC controllers and its application to the bidirectional DAB converters. Based on the above literature survey, this paper formulates fractional and integer order sliding mode controllers for HV bridge voltage regulation problem of a DAB converter connected in a DC micro-grid configuration. In this paper PIL experiment is performed to get an idea of the computational resources for both FOSMC and integer order SMC control schemes. 2. Based on nonlinear model of DAB converter, fractional and integer order robust voltage controllers are derived and implemented using rapid prototyping method.

Circuit configuration
Preliminary definition of fractional calculus
Fractional order sliding mode control
Integer order sliding mode control
Experimental results and discussion
Experimental test bench and serial data logging
System and control parameters
Test Case 1
Test Case 2
Test Case 3
PIL testing
Conclusions
Full Text
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