To capture the entire dynamic response of a multi-microgrid (MMG) system, detailed modeling of the MMG is necessary; however, the computational burden of such models limits their suitability for efficient dynamic studies. When the analysis focuses on a single microgrid (MG) within a MMG, external MGs can be represented using simplified equivalents that preserve accuracy while significantly reducing computational demands. To balance model detail with computational efficiency, this paper proposes a model order reduction (MOR) technique based on a nonlinear autoregressive exogenous (NARX) neural network to replace external MGs with an artificial intelligence (AI)-based black-box equivalent. To consider all dynamic modes in different disturbances, a detailed MMG model is introduced where each MG comprises doubly-fed induction generators (DFIGs), battery energy storage systems (BESSs), loads, and distribution feeders capable of operating in both grid-connected and islanded modes. To demonstrate the method’s scalability, a MMG composed of six MGs with total dynamic order of 360 has been studied. The designed training and validation scenarios capture the dynamic responses of external MGs to a wide range of representative events occurring on the target MG. The performance of the proposed reduced-order model is evaluated in comparison with a long short-term memory (LSTM) based alternative and the detailed model, which serves as the ground truth. The NARX-based equivalent achieves high accuracy while reducing simulation time by over 90%, providing a practical solution for computationally efficient MMG dynamic studies.
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