Abstract

In this paper, a comprehensive small-signal model for a microgrid containing several virtual synchronous generators (VSGs) is first developed. These VSGs are connected in parallel and supply the microgrid’s local load. The microgrid can be operated connected to or isolated from the main grid. The obtained model is valid for both modes of operation. The performance of microgrid is then evaluated using the eigenvalue analysis. Next, based on the performance of microgrid and to ensure its robust D-stable performance, a central multi-input multi-output (MIMO) state feedback controller is designed for the overall system. The proposed controller is able to displace the system’s poles to the desired region and guarantee the desirable transient response. To verify the performance of controller, different scenarios have been investigated in MATLAB/SIMULINK. Results confirm the superiority of microgrid’s responses with the suggested MIMO controller.

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