PDN Impedance

Decoupling network impedance vs frequency against the target impedance: anti-resonance peaks, compliant bandwidth, and each capacitor group’s self-resonance

Target Impedance

V
%
A

Analysis Band

kHz
MHz

Voltage Regulator

mΩ
nH

Capacitor Group 1

pcs
pH
%

Capacitor Group 2

pcs
pH
%

Capacitor Group 3

pcs
pH
%

Capacitor Group 4

pcs
pH
%

Plane Pair

µm
nH

Load Path

nH
Meets Target
0.88
Worst |Z| / Zₜ (×)?
100
Worst-Case At (MHz)?
100
Compliant Up To (MHz)?
Lumped PDN ModelZₜ 20.0 mΩrail+−VRM1 mΩ20 nHG1 ×2330 µF160 kHzG2 ×410 µF1.74 MHz−20% CG3 ×61 µF6.95 MHz−25% CG4 ×16100 nF20.1 MHz−10% Cf₀Plane3.05 nFLOAD|Z|max0.88×ZₜΔI

Results

Target Impedance(Zₜ)?
20.0mΩ
Worst |Z| in Band?
17.6mΩ
Worst-Case Frequency?
100MHz
Worst |Z| / Target?
0.88×
Compliant Up To?
100MHz
Band Above Target?
0.0%
Anti-Resonance Peaks?
3
Highest Anti-Resonance?
4.02MHz
|Z| at Highest Anti-Resonance?
8.91mΩ
Total Capacitance(ΣC)?
698µF
Mounted L, All Caps(L∥)?
27.9pH
Inductive Limit?
114MHz
|Z| at 100 kHz
7.22mΩ
|Z| at 1 MHz
3.63mΩ
|Z| at 10 MHz
4.79mΩ
|Z| at 100 MHz
17.6mΩ
Plane Capacitance(Cₚ)?
3.05nF

Impedance vs Frequency

  • |Z| at load
  • Target Zₜ
  • VRM
  • Group 1
  • Group 2
  • Group 3
  • Group 4
  • Plane
Worst |Z| = 17.6 mΩ at 100 MHzZₜ = 20.0 mΩPeaks: 3

Anti-Resonance Detail

#Frequency|Z|vs ZₜQInductive ↔ capacitive
1429 kHz7.91 mΩ0.40×0.6Group 1 ↔ Group 2
24.02 MHz8.91 mΩ0.45×2.9Group 2 ↔ Group 3
312.8 MHz8.50 mΩ0.43×3.3Group 3 ↔ Group 4

Network Branches

BranchPartNC_eff eachR / NL / Nf₀ (SRF)
VRMR + jωL——1.00 mΩ20.0 nH—
Group 1Polymer 330 µF2330 µF7.50 mΩ1.50 nH160 kHz
Group 20805 10 µF48.00 µF1.25 mΩ263 pH1.74 MHz
Group 30402 1 µF6750 nF2.50 mΩ117 pH6.95 MHz
Group 40402 100 nF1690.0 nF1.87 mΩ43.8 pH20.1 MHz
Planetanδ 0.02—3.05 nF——f₁₀ 723 MHz

L includes ESL and mounting inductance. Peak partners are the branches with the most inductive and most capacitive susceptance at the peak.