Abstract

Grid-connected and islanding operations of a microgrid are often influenced by system uncertainties, such as load parameter variations and unmodeled dynamics. This paper proposes a novel adaptive higher-order sliding mode (AHOSM) control strategy to enhance system robustness and handle an unknown uncertainty upper bounds problem. Firstly, microgrid models with uncertainties are established under islanding and grid-connected modes. Then, adaptive third-order sliding mode and adaptive second-order sliding mode control schemes are respectively designed for the two modes. Microgrid models’ descriptions are divided into nominal part and uncertain part, and higher-order sliding mode (HOSM) control problems are transformed into finite time stability problems. Again, a scheduled law is proposed to increase or decrease sliding mode control gain adaptively. Real higher-order sliding modes are established, and finite time stability is proven based on the Lyapunov method. In order to achieve smooth mode transformation, an islanding mode detection algorithm is also adopted. The proposed control strategy accomplishes voltage control and current control of islanding mode and grid-connected mode. Control voltages are continuous, and uncertainty upper bounds are not required. Furthermore, adjustable control gain can further whittle control chattering. Simulation experiments verify the validity and robustness of the proposed control scheme.

Highlights

  • A microgrid, which mainly includes a direct current (DC) form, an alternate current (AC) form, and an AC-DC form, is a small power system consisting of a distributed microsource, energy storing device, energy conversion device, and a load and control protection device [1]

  • Considering system (3), the control laws are designed as Formulas (9), (11), (12), (15), and adaptive control gain is constructed as (18), the real third-order sliding mode with respect to s Ii will be established in finite time, that is:

  • Considering system (4), the control laws are designed as Formulas (36), (38), (39), (42), and adaptive control gain is constructed as (45), the real second-order sliding mode with respect to sGi will be established in finite time, that is:

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Summary

Introduction

A microgrid, which mainly includes a direct current (DC) form, an alternate current (AC) form, and an AC-DC form, is a small power system consisting of a distributed microsource, energy storing device, energy conversion device, and a load and control protection device [1]. Some attempts have been made to study microgrid sliding mode control under grid-connected mode or islanding mode and have achieved corresponding robustness with parametric variation and external disturbance [15,16,17,18,19] This literature does have its own drawbacks, such as single mode operation and lack of mode transformation strategy and has the common problem of first-order sliding mode, which is a notorious control chattering phenomenon. Microgrid under islanding and grid-connected modeshigher-order are both based on mode (AHOSM), whichsliding can conquer uncertainty upper bounds, whittleuncertainty control chattering, adaptive higher-order mode unknown (AHOSM), which can conquer unknown upper and achieve voltage or current regulation.

Microgrid
Single-line
Control Strategy
Gi 2 Gi
Results
Figures and indicate the master
Conclusions
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