SIPI

Calculators / 07

PDN Target Impedance Calculator

Target impedance for a rail exact
The target as a limit on the rail's impedance

If the load's current can jump by ΔI, the rail's impedance at the frequencies in that jump turns it into a voltage error. Keep that impedance below V·ripple/ΔI and the error stays inside the ripple budget. It is the first number in any PDN design — and, as the topic page explains, only the first.

Reading the numbers

Every value is in the address bar as you change it, so a link reproduces the calculation exactly. Type values with SI prefixes — 100n, 2.2p, 16G — or drag the sliders; a bare number keeps the prefix already shown.

The formulas

Ztarget = Vrail · ripple / ΔI The impedance at which the step produces exactly the allowed ripple.
Go deeper — assumptions, how it is checked, and sources

Assumptions. A current step with a flat spectrum, a linear network, and one ripple figure for all frequencies. Where the load spectrum is known, a frequency-dependent target is tighter where it matters and looser where it does not.

How it is checked. Units reduce to ohms; the target scales linearly with voltage and ripple and inversely with the step; and the ripple the target implies, ΔI·Z, returns the budget that went in.

Source. L. D. Smith et al., “Power distribution system design methodology and capacitor selection for modern CMOS technology,” IEEE Trans. Advanced Packaging, vol. 22, no. 3, 1999.

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