Partial element equivalent circuit: Difference between revisions

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===PEEC model reduction===
The rigorous full-wave version of the PEEC method is called (Lp,P,R,t) PEEC, where Lp is partial inductance, P is the Maxwell potential coefficient (inverse of capacitance), R is resistance, and t is the time-delay. If available, a reduced model of the full-wave version can be used. For example, if the EIP structure is electrically small, the delay term t can be omitted and the model can be reduced to (Lp,P,R) PEEC model. In addition, if the angular frequency w is sufficiently high so that w*Lp >> R, we can omit R term and use approximate (Lp,P) PEEC model. According to various modeling situations, (Lp) and (Lp,R) models are also useful.
 
Model Order Reduction (MOR) has become an active research topic for circuit models in general and PEEC models in particular. Integration of a PEEC model directly into a circuit simulator is computationally expensive for two main facts. One is that a large number of circuit elements are generated for complex structures at high frequencies, and the other is that the circuit matrices based on modified nodal analysis (MNA) are usually dense due to full inductive and capacitive coupling. In order to model/simulate such problems efficiently, developing compact model representation via model order reduction is desirable for PEEC modeling.
 
===Orthogonal PEEC===