Abstract-This paper presents a detailed design and modeling approach for power planes with integrated high-impedance electromagnetic surfaces (HIS). These novel power planes, which were introduced recently, have the unique ability of providing effective broadband simultaneous switching noise (SSN) mitigation. Fullwave electromagnetic simulation is used to study the impact of the geometry on the performance of these novel power planes. It is demonstrated that power planes using inductance-enhanced HIS can be designed for broadband mitigation of the SSN from the upper hundred megahertz to the gigahertz frequencies. Physicsbased compact models for the unit cell of power planes with integrated HIS are developed and several of them connected in a two-dimensional array to build full models for large and multilayer power planes. The compact model offers fast analysis of power planes. As an example, we show that the full-wave simulation time of a 10 × 10 cm power plane with integrated HIS can be dramatically reduced from 24 to 48 h using a commercially available three-dimensional full-wave solver to less than 1 min when using the compact circuit model developed here.