Steady-State Oscillations in Resonant Electrostatic Vibration Energy Harvesters

Abstract

International audienceIn this paper, we present a formal analysis and description of the steady-state behavior of an electrostatic vibration energy harvester operating in constant-charge mode and using different types of electromechanical transducers. The method predicts parameter values required to start oscillations, allows a study of the dynamics of the transient process, and provides a rigorous description of the system, necessary for further investigation of the related nonlinear phenomena and for the optimisation of converted power. We show how the system can be presented as a nonlinear oscillator and be analysed by the multiple scales method, a type of perturbation technique. We analyse two the most common cases of the transducer geometry and find the amplitude and the phase of steady-state oscillations as functions of parameters. The analytical predictions are shown to be in good agreement with the results obtained by behavioral modeling

Mechanical Behavior of A MEMS Based Capacitive Energy Harvester

“…As a matter of fact, it's an attempt to synthesize two efficient methods to get a much more efficient one.Elena blokhina et al offered a formal analysis and description of the steady-state behaviour of an electrostatic vibration energy harvester operating in constant charge mode and used different types of electromechanical transducers [2]. The majority of the electrostatic converters' shapes are derived from accelerometers.…”

Limit on converted power in resonant electrostatic vibration energy harvesters

“…Studies [10][11][12] presented extended dynamical analysis of a very common configuration of resonant e-VEHs based on a gap-closing transducer operating in constant-charge mode [1]. Reference [11] proposed a straightforward analytical description of the regular and desirable behaviour of the system whose characteristics (the amplitude of oscillations, the converted power, etc.) are calculated from parameters of the system (a resonator coupled with a conditioning circuit) and from the environmental parameters (the magnitude and frequency of external vibrations).…”

“…The study presented in this paper uses the results of [10][11][12] to predict the maximum power that can be converted by an e-VEH with the common gap-closing transducer. It was found that e-VEHs utilising the gap-closing transducer and operating in the constant-charge triangular QV (charge-voltage) cycle [1] have a constant universal factor Π max relating the maximum convertible power to the product of the basic system parameters.…”

“…In [11], a normalised equation in the form of a nonlinear driven oscillator was obtained to model the system. The normalised displacement y of the resonator is described by…”

“…The harmonic steady-state solution of eq. (1) obtained from the Multiple Scales Method [16] has the form [11] y 0 (τ ) = y av,0 + a 0 cos(…”