In this work, theoretical and experimental studies of the conditioning circuit based on the Bennet doubler with a power source in a variable capacitor branch having one, two and three variable capacitors are carried out for electrostatic vibrational energy harvesters (e-VEHs). Analytical expressions for evaluation of the e-VEH conditioning circuit main parameters are derived. All three modifications of the conditioning circuit have two operation modes: autostabilization and the mode of unlimited capacitors charge and voltage growth. The change between the operation modes for one-, two- and three-capacitor circuits with switches takes place when the maximal-to-minimal capacitance ratio η is equal to 2, 1.618 and 1.414, respectively. For e-VEHs with switches in the autostabilization regime, a three-capacitor circuit will be the most efficient when the capacitance modulation depth η is less than 1.414, a two-capacitor circuit will be the most efficient when 1.414 < η < 1.618, and, for 1.618 < η < 2, the most efficient will be a one-capacitor circuit. In the steady-state autostabilization mode, the saturation voltage will be greater than the primary voltage source V₀ if the capacitance modulation depth η is greater than 1.5, 1.366 and 1.302 for the circuit with one, two and three variable capacitors, respectively. The use of diodes instead of switches in the circuits results in the decrease of saturation voltage and leads to the increase of the critical values of η_cr when the change between the operation modes occurs. As the diode inverse currents increase, the effect of the saturation voltage reduction in the autostabilization mode becomes stronger and can even lead to the circuit nonoperabilities. The employment of the Bennet doubler based conditioning circuit modifications considered here enables solving its two main problems: operation only for the capacitance modulation depth more than 2 and the uncontrolled capacitors charge and voltage growth. It should be noted that the observed two conditioning circuit operation regimes will be also inherent for electret vibrational microgenerators and for microgenerators based on using electrodes with materials having different work functions. In addition, the considered two- and three-capacitor circuits make it possible to use e-VEHs at lower values of an external mechanical force or with greater stiffness of spring suspensions minimizing the pull-in effect probability.

在这项工作中，针对静电振动能量收集器（e-VEH），在具有一个，两个和三个可变电容器的可变电容器支路中使用电源的Bennet倍增器对调节电路进行了理论和实验研究。推导了用于评估e-VEH调节电路主要参数的解析表达式。调节电路的所有三种修改都有两种工作模式：自动稳定和无限电容器充电和电压增长的模式。当最大电容与最小电容之比η发生时，带有开关的一，二和三电容器电路的工作模式之间会发生变化分别等于2、1.618和1.414。对于具有处于自动稳定状态的开关的e-VEH，当电容调制深度η小于1.414时，三电容器电路效率最高；当1.414 < η <1.618时，两电容器电路效率最高。，对于1.618 < η <2，最有效的将是单电容器电路。在稳态自动稳定模式下，如果电容调制深度为η，则饱和电压将大于一次电压源V _0。对于分别带有一个，两个和三个可变电容器的电路，它分别大于1.5、1.366和1.302。在饱和电压和导线的降低到临界值的增加而导致的电路中使用的二极管，而不是开关的η _CR当操作模式之间发生更改时。随着二极管反向电流的增加，在自动稳定模式下饱和电压降低的效果变得更强，甚至可能导致电路无法正常工作。此处考虑使用基于Bennet倍增器的调节电路修改方案，可以解决其两个主要问题：仅在电容调制深度大于2的情况下运行，以及不受控制的电容器电荷和电压增长。应当注意的是，对于驻极体振动微型发电机和基于使用具有不同功函数材料的电极的微型发电机，观察到的两种调节电路的运行方式也将是固有的。此外，