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Explainable Optimized LSTM Model for Sustainable Wind Power Forecasting in Smart Cities

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Abstract

Accurate wind‐power forecasting is essential for the successful integration of renewable energy into smart city grids. Traditional long short‐term memory (LSTM) networks face significant challenges in parameter optimization, leading to suboptimal forecasting performance. This paper introduces a novel Bernstein dynamic horned lizard optimization algorithm (BDHLOA) to optimize LSTM parameters for wind power prediction in smart cities. BDHLOA incorporates three key enhancements: a Bernstein‐assisted oppositional‐multiple learning (BOML) strategy that improves exploration–exploitation balance, Bernstein‐based adaptive differential (BAD) strategy for better solution refinement, and a dynamic drift search (DDS) mechanism that prevents premature convergence. The proposed BDHLOA‐LSTM framework is evaluated for one‐step‐ahead (10‐min horizon) wind‐power forecasting using four real‐world datasets from La Haute Borne wind turbines in France, under a rolling‐origin expanding‐window cross‐validation protocol that strictly prevents data leakage. Results demonstrate exceptional performance across all four stations, with mean R 2 = 0.9695, RMSE = 0.0011, and MAE = 0.0007. BDHLOA‐LSTM reduces MAE by 94% compared to persistence forecasting and 91% compared to autoregressive AR(24) models. Against the best competing optimizer (PSO‐LSTM), BDHLOA‐LSTM achieves 42% lower MAE on average across sites. Performance is assessed using R 2 , RMSE, MAE, symmetric mean absolute percentage error (sMAPE), mean absolute scaled error (MASE), and prediction interval coverage probability (PICP) to capture both accuracy and calibrated uncertainty. Furthermore, the proposed model is interpreted using SHapley Additive exPlanations (SHAP) technique. SHAP analysis confirms that BDHLOA‐LSTM learns physically meaningful relationships dominated by wind speed statistics and direction, rather than exploiting spurious correlations. The superior accuracy and stability of BDHLOA‐LSTM make it highly suitable for real‐time grid management and sustainable energy planning in smart cities.

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