Generation of physical equivalent circuits using 3D simulations

Eigenmodes of electrical components and their relation to equivalent electrical circuits

“…In a 3D setup, e.g. measurements or 3D simulations, the definition of Z parameters depend on the exact path of the exciting current [3]. This dependency cannot be reproduced by electrical circuits.…”

“…As we pointed out [3], electrical circuits are lowfrequency models for electrical components. High-frequency electromagnetic phenomena, e.g.…”

“…This dependency cannot be reproduced by electrical circuits. In order to obtain meaningful results, we introduced a deembedding scheme for the source currents [3] by replacing the current excitation j(x) by…”

“…The method is an extension of a previously published method, [3], offering two major advantages: First, the equivalent electrical circuit can be constructed directly from the eigenmodes by solving linear systems of equations, no fitting of impedance curves is needed. Second, the field distribution of the 3D eigenmodes contains information about where the nodes of the equivalent circuit have to be located.…”

“…For an equivalent electrical circuit to be a good physical model for an electromagnetic component, it has to satisfy three requirements [3]: First, the frequency-dependent behaviour of port impedances is correctly described. Second, the circuit elements can be associated with 3D design elements.…”