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Battery lifetime estimation by means of an analytical continuous-time model

Analytical battery models such as Rakhmatov-Vrudhula are tipically represented in discrete-time, and then implemented by software. However, by means of Model-based design and automatic code generation, it is possible to generate embedded code directly from a continuous time representation. Therefore, in this work we present an analytical battery model in continuous-time by means of the Laplace transform, which is a suitable representation for integrated development environments for model-based design. We show that the battery lifetime estimation error for our continuous-time representation is less than 1% compared to the discrete-time Rakhmatov-Vrudhula model.