Inductance Screening and Inductance Matrix Sparsification 1.
In PDN, Loss May Be Your Friend, But Inductance Is Your Enemy
Transcript of In PDN, Loss May Be Your Friend, But Inductance Is Your Enemy
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In PDN, Loss May Be Your Friend, But Inductance Is Your Enemy
Istvan Novak
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• Defining the scope
• Putting the scope into context
• Cases when we need inductance
• Our goal with parallel PDN
• Impact of inductance on parallel PDN
• Impact of losses on parallel PDN
• Summary
Outline
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Defining the Scope
We consider board and package PDN.
Our goal is to deliver DC power to the load.
An example partial PDN tree:
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Names to remember:
• Edison, Westinghouse, Tesla- DC vs. AC
• Dery-Blathy-Zipernovsky- the transformer
• Pros and cons of DC vs. AC
• Why AC won hundred years ago
• Why DC is coming back
Putting the Scope into Perspective:The War of Currents
Source: https://www.imdb.com/title/tt2140507/mediaviewer/rm2604388609/
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• If we use HVDC as a source and need low-voltage DC, we still need AC to change voltage
• But DC-DC converters today can have quite high efficiency (approaching 99%)
The Irony of War of Currents
Source: Gustavo Fortes: A resonant DC/DC converter with high efficiency and powerhttps://www.power-and-beyond.com/a-resonant-dcdc-converter-with-high-efficiency-and-power-a-1030331/
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LC filters may be useful to block the propagation of AC noise
Cases When We Do Need Inductance
DC bias impact on LC filter
Using Ferrites and Inductors in Power Distribution Networks (PDN), https://blog.samtec.com/12_03_2020_ferrites_inductors_in_pdns/
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• Generic PDN tree: we want to transmit DC, want to block AC
• Series elements should have low Rdc, can have high Rac
• Parallel elements should have high Rdc, should have optimum Rac
Parallel PDN: the Goal
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• Voltage source(s)- AC-DC converter- DC-DC converter- Linear regulator- Battery
• Capacitors
Parallel Elements in PDN
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DC-AC resistance, inductance from-Output resistance of DC source
- Fuse, series protection device
- (Inductors, ferrite beads)
- PCB planes, traces, vias
- Connectors, cables
Series Elements in PDN
https://blog.samtec.com/05_14_2020_geek_speek_perils_ra_turns/
“Etch Factor Impact on SI&PI,” DesignCon 2019
Rdc: 0.16 mOhm
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• Noise voltage should be within allowed limits
• Transient noise in LTI PDN for arbitrary load steps can be minimized by achieving-Monotonic step response, or
- Flat PDN impedance
Our Goal with Parallel PDN
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• Flat impedance requires AC (and DC) resistance
Starting with Ideal PDN
Discrete Impedance Matching:
21 RRC
L==
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Three capacitor banks providing flat impedance
A More Realistic PDN
C1 bank2200uF 10mOhm 10nH
C2 bank100uF 11mOhm 0.7nH
C3 bank6.8uF 10mOhm 50pH
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To compensate for excess inductance, we need more capacitance
Excess Inductance
C1 bank2200uF 10mOhm 10nH
C2 bank100uF 11mOhm 3.5nH
C3 bank6.8uF 10mOhm 50pH
C1 bank2200uF 10mOhm 10nH
C2 bank100uF 15mOhm 3.5nH
C3 bank33uF 10mOhm 50pH
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Is There Such a Thing As Too Much Capacitance or Too Little Inductance?
10xC0.1xL
WC noise:1.9x
Saturated
0.1xC10xL
WC noise:61x
No bound
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Non-optimum resistance increases impedance peak magnitudes
Non-Optimum Resistance
C1 bank2200uF 10mOhm 10nH
C2 bank100uF 2mOhm 0.7nH
C3 bank6.8uF 10mOhm 50pH
C1 bank2200uF 2mOhm 10nH
C2 bank100uF 2mOhm 0.7nH
C3 bank6.8uF 10mOhm 50pH
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Worst-Case Noise with Non-Optimum Resistance
WC noise:6.1x
No bound
WC noise:19.5x
No bound
0.1xR10xR
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Summary and Conclusions
• PDNs in DC distribution systems should pass DC and block/attenuate AC
• In parallel PDNs monotonic step response or flat impedance minimizes worst-case transient noise
• Excess inductance can be compensated for by more capacitance
• Non-optimum resistance (either higher or lower) increases noise with no bound
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