Extracting Sparse Periodic Fault Signatures from Noisy Signals in Rolling Element Bearings

Özet

This study develops a hybrid stochastic–robust optimization framework for industrial energy management under photovoltaic generation and electricity price uncertainty. The proposed two-stage model integrates scenario-based scheduling, robust operational adjustments, battery storage dynamics, and carbon emission costs. Its effectiveness is evaluated using a grid-connected industrial microgrid and compared with deterministic, stochastic, and robust optimization approaches. The hybrid model achieves a daily operating cost of $1,173.9, with 86.4% photovoltaic utilization and 751.8 kg of carbon emissions. Sensitivity analyses demonstrate that adjustable risk preferences improve protection against unfavorable operating conditions, while increased battery capacity supports renewable energy integration. These findings indicate that the proposed framework offers a flexible approach to balancing economic efficiency, operational resilience, and environmental performance in industrial energy systems.