Nonlinear modeling of magnetic materials for circuit simulations

Area of Science:

• Electrical Engineering
• Materials Science
• Computational Electromagnetics

Background:

• Magnetic rings are crucial components in power engineering, particularly in Gas-Insulated Switchgear (GIS) for suppressing Very Fast Transient Overvoltages (VFTOs).
• Accurate modeling of magnetic materials under high frequency and nonlinear conditions is essential for simulating phenomena in GIS and developing digital twins.
• Existing models often lack the precision and stability required for circuit simulators like SPICE, especially under DC-bias conditions.

Purpose of the Study:

• To develop a novel method for creating realistic, time-dependent lumped element models of magnetic cores.
• To ensure the models exhibit smooth behavior in the current domain for enhanced numerical stability in time-domain simulations.
• To provide accurate models for magnetic materials used in power engineering applications, particularly within GIS.

Main Methods:

• Utilized classical algorithms to derive equivalent lumped models from frequency-dependent impedance measurements.
• Incorporated DC-bias current measurements to capture nonlinear material behavior.
• Focused on achieving smooth current-domain behavior for improved simulation stability.

Main Results:

• Successfully developed a method for generating precise, time-dependent nonlinear lumped element models of magnetic cores.
• The proposed models demonstrate improved numerical stability in time-domain simulations due to smooth current-domain characteristics.
• The method is based on frequency-dependent impedance measurements, making it practical for real-world applications.

Conclusions:

• The introduced method provides a robust approach for modeling magnetic cores used in power engineering.
• The resulting models are suitable for circuit simulators and contribute to the advancement of digital twin technology for power systems.
• This work enhances the capability to accurately simulate complex electromagnetic phenomena in devices like GIS.