An Efficient Implementation of the Classical Preisach Model

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Abstract
The incorporation of hysteresis models in the finite element method is important for the accurate predictions of the performance of low-frequency electromagnetic devices. The Jiles-Atherton and Preisach models are frequently used for this purpose. The classical Preisach model is more accurate and can represent a broad range of magnetic materials. However, it is computationally very expensive and therefore hysteresis coupled finite element (FE) simulations take too much time to solve. In this work, a computationally efficient method of implementing the Preisach model is presented using the closed form expression for modeling the Everett function which not only reduces the total execution time of the model but also simplifies its implementation. The incorporation of the proposed implementation into FE simulations shows faster computation times and better numerical convergence when compared to the conventional implementation. The proposed approach is only valid for the H-based Preisach models.

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