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Model order reduction and equivalent circuit extraction for fit discretized electromagnetic systems. (English) Zbl 1008.78010

Summary: A new approach for model order reduction of electrodynamic devices discretized by the finite integration theory is presented. It has two main applications: The fast frequency sweep of the transfer behaviour of resonant filters and the extraction of general equivalent circuits simplifying coupled circuit- electromagnetic simulations. The proposed two-step Lanczos algorithm combines a Lanczos based projection in the first step to pre-reduce the non-inverted system with a PVL-like algorithm in the second step to get an optimal Padé approximation. This algorithm drastically reduces the computational complexity of model order reduction while maintaining the same accuracy as direct PVL. By applying it to a curl-curl formulation of the system, the computational cost is further reduced by a factor of two. By use of a projection method the curl-curl formulation can also be extended to lossy systems. Additionally, the method keeps the system stable, passive, and real throughout the process-an important prerequisite for the interpretation of the model as an equivalent network.

MSC:

78M25 Numerical methods in optics (MSC2010)
78A55 Technical applications of optics and electromagnetic theory
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