Energetically consistent modeling of passive memelements

Fabrication of pure memreactive elements is hard yet and hence mathematical models are needed to make pioneering pre-investigations. Modeling of memreactive elements is closely related to the modeling of nonlinear reactive elements. Common memreactive models are based on a static definition. Thus, they are not passive in general. But losslessness of such devices is of great importance from a circuit theoretic point of view. We propose a modeling approach for lossless memreactive elements based on an energetic definition. In this context, a novel equivalent circuit of memory devices including memtransformer or memgyrator is introduced. A known meminductive model is utilized in simulations and comparisons between different definitions are shown in order to underly the necessity of an energetically consistent model.