Abstract The synchronous electric charge extraction (SECE) circuit has been widely used for piezoelectric energy harvesting due to its load independence properties but suffers from low circuit quality. In recent years, the multi-step (MS) energy extraction strategy has been proposed to reduce electrical dissipation. To offer deeper insights into how the multi-step strategy improves electrical efficiency and thereby maximizes the potential capacity of the SECE circuit, a theoretical model is developed to analyze the energy flows at the synchronous instants. Based on the theoretical model, the optimal voltage-flip sequences (VFSs) for two-step (2S) and three-step (3S) SECE circuits are determined. Moreover, this method is further extended to a general N-step case using a recursive approach. Good agreement between the experimental and the theoretical results has validated the proposed optimal VFSs. Compared to the standard SECE circuit, the 2S-SECE and 3S-SECE circuits can enhance efficiency by 41.9% and 65.5%, respectively, at an initial voltage of 2.5 V, and harvest additional power of 352 μW and 568 μW when the voltage increases to 40 V. The proposed VFSs provide a valuable reference for optimizing the performance of the MS-SECE circuit.
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