Modelling of Hysteresis

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In order to model a real system, differential equations are usually derived, which are based on physical principles. When modelling a characteristic hysteresis, the mathematical equations are also based on the physics underlying hysteresis, but they are nonlinear effects. Therefore, a different approach is taken in the modelling. A measurement is used as the basis for modelling. This means that a specific measurement curve that determines the parameters must first be available. The advantage of this method is that it can be applied to many technical fields. The method presented here can be verified using the example of piezo elements, but it can also be applied to the magnetization characteristic of ferromagnetic materials. The methods of Preisach and Mayergoyz are presented and explained in this booklet. Examples are calculated with Matlab. The Matlab source code is printed at the end.