Small Signal Modelling and Stability Analysis of a Grid Connected Inverted Based Microgrid

Aditya Sharma; D K Palwalia

doi:10.17485/IJST/v17i19.379

Article

Small Signal Modelling and Stability Analysis of a Grid Connected Inverted Based Microgrid

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v17i19.379

Year: 2024, Volume: 17, Issue: 19, Pages: 2024-2037

Original Article

Small Signal Modelling and Stability Analysis of a Grid Connected Inverted Based Microgrid

Aditya Sharma^1*, D K Palwalia²

¹Research Scholar, Electrical Department, Rajasthan Technical University, Kota, Rajasthan, India
²Professor, Electrical Department, Rajasthan Technical University, Kota, Rajasthan, India

*Corresponding Author
Email: [email protected]

Received Date:10 February 2024, Accepted Date:22 April 2024, Published Date:09 May 2024

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: This work focuses on the stability analysis of grid connected microgrids. It considers the impact of load disturbance and grid voltage change on voltage and current levels, as well as reactive and active power responses, is analysed. Methods: A comprehensive small-signal state-space model is developed for an inverter-based microgrid, incorporating submodules of inverters, phase-locked loops (PLLs), and LCL filters. The model is linearized around a stable operating point, and eigenvalue analysis is performed and validated through MATLAB/Simulink simulations. A current controller operating in the d-q frame is proposed to enhance stable power conversion and maintain microgrid stability. Findings: The proposed model and control strategy demonstrate the microgrid's ability to maintain transient voltage stability under severe dynamic conditions. During a 10% grid voltage fluctuation, the microgrid exhibits stable active and reactive power responses, with currents and voltages at the point of common coupling stabilizing within 0.2 seconds. Furthermore, when a 25 kVA active load is disconnected, the microgrid effectively manages the power transition, maintaining stable operation with minimal deviations in key parameters. The current controller simplifies AC current control, integrating active power management from solar input, DC-link voltage stability, and reactive power control. Novelty: The novelty lies in the comprehensive analysis of transient voltage stability in grid-connected microgrids under grid voltage fluctuations and load disturbances, areas that have received limited attention in previous research. By developing a detailed small-signal state-space model incorporating PLL and LCL filter dynamics and proposing a robust control strategy with the current controller, this study offers new insights into enhancing the resilience and reliability of grid-connected microgrids during transient events.

Keywords: Microgrid, Small Signal Stability, Voltage Source Inverter, State Space model, Eigen Values

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Copyright

2024 Sharma & Palwalia. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)