In this dissertation, modeling methods have been presented to accurately model planes in electronic packages for both regular and irregular structures. Methods have been developed to generate equivalent circuits using resonators for rectangular planes and macromodels for irregular planes. Since the plane pairs are highly resonant structures, modeling of these structures requires high order macromodels. A model order reduction method for rectangular planes has been developed to determine the optimum wave mode numbers for efficient simulation. Macromodels have been used to implement equivalent circuits where numerical solutions are available, such as in irregular planes and planes with decoupling capacitors. For highly resonant systems, S-parameter macromodel-based equivalent circuit was found to be accurate. While wave resonator models for rectangular planes are guaranteed to be passive, macromodels developed using an eigenvalue solution does not guarantee passivity. This can create a problem for transient simulations. In this dissertation, a method to preserve the passivity of the macromodels has been discussed for one-port and two-port power distribution networks, which can be extended for multi-port systems. All the methods described above have been verified using several simulations and measurements. Finally, the methods described have been applied for the simulation of core switching noise for a mixed signal module and a CMOS5L test vehicle from IBM. Effects of plane resonance and decoupling capacitors on switching noise have been investigated in detail through numerous simulations. Through these simulations the importance of the accurate modeling of planes has been demonstrated.
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