Direct-Lyapunov-Based Control Scheme for Voltage Regulation in a Three-Phase Islanded Microgrid with Renewable Energy Sources

Hadi Hosseini Kordkheili, Mahdi Banejad, Ali Akbarzadeh Kalat, Edris Pouresmaeil and João P. S. Catalão
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Hadi Hosseini Kordkheili: Faculty of Electrical and Robotic Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
Mahdi Banejad: Faculty of Electrical and Robotic Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
Ali Akbarzadeh Kalat: Faculty of Electrical and Robotic Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
Edris Pouresmaeil: Department of Electrical Engineering and Automation, Aalto University, 02150 Espoo, Finland
João P. S. Catalão: INESC TEC, Faculty of Engineering, University of Porto, Porto 4200-465, Portugal

Energies, 2018, vol. 11, issue 5, 1-18

Abstract: In this paper, the local control structure of a microgrid is partially modified by a Lyapunov-based controller. This controller is derived based on direct Lyapunov stability theory (DLST) in order to calculate proper switching functions for the stable operation of the local controller as well as proper local performance of each inverter-based distributed generation (DG) unit. The main contribution is the use of DLST-based controller in a hierarchical primary control structure along with a DC-side voltage regulator. A current-based droop controller is also introduced along with a voltage harmonic compensation technique. The control limits of droop equations are calculated based on steady-state and dynamic capability curve as well as voltage-frequency ellipse curve. The effect of the variations of voltages and circuit parameters on the capability curves are also investigated and the microgrid (MG) steady-state operation area is obtained. In the proposed method, the DC-voltage variations are regulated by an additional voltage control loop based on a current reference correction signal. The above-mentioned approaches are derived thoroughly with mathematical equations. The effectiveness of the designed controllers is verified by a MATLAB/SIMULINK simulation platform (Matlab/Simulink R2014a, Mathworks, Inc.) with harmonically distorted intermittent loads. The results show the appropriate performance of the proposed controllers during both steady-state and transient dynamic conditions.

Keywords: capability curves; direct Lyapunov stability theory; hierarchical control; inner control loops; microgrid (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: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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