| Summary: | This paper shows how clocked AC-DC charge pump circuits can be optimally designed to have the minimum circuit area for small form factor vibration energy harvesting. One can determine an optimum number of stages with simple equations and then determine the capacitance of each pump capacitor to have a target output current at a target output voltage. The equations were verified under a wide range of design parameters by comparing the output current with the simulated one. The output current of the circuit designed by the equations was in good agreement with the simulated result, to within 5% for 98% of the 1600 designs with different parameters. We also propose a design flow to help designers determine the initial design parameters of a clocked AC-DC charge pump circuit (i.e., the number of stages, capacitance per stage, and the total size of rectifying devices) under the condition that the saturation current of a unit of the rectifying device, clock frequency, amplitude of the voltage generated by the energy transducer, target output voltage, and target output current are given. SPICE simulation results validated theoretical results with an error of 3% in terms of the output current when a clocked AC-DC charge pump was designed to output current of 1 μA at 2.5 V from a vibration energy harvester with an AC voltage amplitude of 0.5 V.
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