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Interconnect and Packaging Lecture 3: Skin Effect. Chung-Kuan Cheng UC San Diego. Outlines. Transmission Line Model Spectrum of Configurations Skin Effect Coaxial Cable. I. Transmission Line Model. Voltage drops through serial resistance and inductance

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Presentation Transcript
outlines
Outlines
  • Transmission Line Model
  • Spectrum of Configurations
  • Skin Effect
  • Coaxial Cable
i transmission line model
I. Transmission Line Model
  • Voltage drops through serial resistance and inductance
  • Current reduces through shunt capacitance
  • Resistance increases due to skin effect
  • Shunt conductance is caused by loss tangent
i interconnect model
I. Interconnect Model
  • Telegrapher’s equation:
  • Propagation Constant:
  • Wave Propagation:
  • Characteristic Impedance
i interconnect model1
I. Interconnect Model
  • Propagation Constant:
  • Wave Propagation:
  • Characteristic Impedance
i interconnect model constants
I. Interconnect Model (Constants)
  • AWG (American Wire Gauge
    • Wire Diameter = 2.54x10-(AWG+10)/20
  • Copper p= 2.2uohm-cm
  • Copper thickness 1oz(/sqft)= 36um
  • Electric Permittivity of Air 8.85x10-12F/m
  • Magnetic Permeability of Air
  • Characteristic Impedance of Air
iii skin effect
III. Skin Effect

Assuming that resistance and capacitance

are negligible.

Skin Depth

(Equivalent Depth of Uniform Current)

hw1 remarks on z900
HW1: Remarks on z900
  • Chip (Processor)
    • 10x17 sqmm, 38W, 918MHz, 250MIPS
    • 128bits to each L2 cache chip
    • 280um pitch chip to MCM
  • MCM
    • 127x127sqmm, 5xTerabits/s, 459MHz
    • 20 Processors, 8x4MB Memory
    • 11Knets, 95mm max length on critical path
    • 1ns on MCM, 1.4ns off MCM
    • 33um think film pitch, 396um ceramic substrate
    • 101Kpins, 35.3pin/sqcm
    • 4224pins/1735pg to PCB
hw1 remarks
HW1: Remarks
  • Board
    • 553x447sqmm, 1 MCM, 64GB memory, 24 STI
    • 7 mils pitch (3.3width/4sep)
    • 24GB/s IO, 1GB/s bus, 240lines/MBA (6GB/s),
    • 10pairs/STI, 9 signals/1 clock
    • 3516nets, 19,788pins (signals + pg), 8pins/sqcm
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