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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

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The aim of this paper is to introduce the theory and techniques of non‐linear discrete‐time dynamics to the non‐specialist and to describe some of the ways in which this material has been applied to the study of sigma–delta modulators. It is aimed at readers who are familiar with sigma–delta systems but not with non‐linear dynamics. © 1997 by John Wiley & Sons, Ltd.