From Power Distribution Networks with On-Chip Decoupling Capacitors

The inductive properties of power distribution grids are investigated in this chapter. As discussed in Section 1.3, the inductance of power grids is an important factor in determining the impedance characteristics of a power distribution network operating at high frequencies.

The chapter is organized as follows. In Section 9.1, the inductive characteristics of a current loop formed by a power transmission circuit are established. The analysis approach is outlined in Section 9.2. The three types of grid structures considered in this study and analysis setup are described in Section 9.3. The dependence of the grid inductance characteristics on the line width is discussed in Section 9.4. The differences in the inductive properties among the three types of grids are reviewed in Section 9.5. The dependence of the grid inductance on the grid dimensions is described in Section 9.6. The chapter concludes with a summary.

9.1 Power Transmission Circuit

Consider a power transmission circuit as shown in Fig. 9.1(a). The circuit consists of the forward current (power) path and the return current (ground) path forming a transmission current loop between the power supply at one end of the loop and a power consuming circuit at the other end. In a simple case, the forward and return paths each consist of a single conductor. In general, a "path" refers to a multi-conductor structure carrying current in a specific direction (to or from the load), which is the case in power distribution grids. The circuit dimensions are assumed to be sufficiently small for...

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