The Logistic Limiting Loop Hysteresis Model

ABSTRACT Hysteresis modeling is widely employed in diverse disciplines such as engineering, physics, biology, chemistry, and mathematics for representing these intriguing nonlinear phenomena. More specifically in electrical engineering, classical models, facilitating progress in applications such as electric machines. Nonetheless, these models encounter limitations due to their mathematical intricacy and corresponding parameter estimation procedures. The more recent limiting loop proximity (L2P) model has emerged as a promising alternative, offering high precision in modeling magnetic hysteresis while requiring fewer parameters. However, the L2P model is better suited for symmetric and centered hysteresis, making it less effective in scenarios that require shifted or asymmetric hysteresis. To address this limitation, this paper introduces an enhanced model, termed the logistic limiting loop proximity (L3P) model, which incorporates the logistic equation to refine the characterization of non‐centered hysteresis curves. By integrating the logistic function, the L3P framework significantly expands the model's applicability across diverse fields, particularly those governed by logistic dynamics. In this way, the proposed method not only improves the accuracy of non‐centered hysteresis modeling but also ensures a lower‐complexity formulation with a moderate number of parameters. Simulations validate the approach, demonstrating its ability to generate a wide range of shifted and asymmetric hysteresis curves.