PCB Effects for Power Integrity

Size: px
Start display at page:

Download "PCB Effects for Power Integrity"

Transcription

1 PCB Effects for Power Integrity Bruce Archambeault, PhD IEEE Fellow, MST Adjunct Professor IBM Distinguished Engineer Emeritus

2 PCB Issues for Optimum Power Integrity Inductance dominates performance Which inductance? Under what circumstances? Effect of capacitance value Effect of number of capacitors Effect of capacitor density Effect of capacitor via configuration Case Study 2

3 Design Geometry, Current Path, and Z PDN Input Impedance at IC port [Ω] C = C + C eq 10 0 planes decoupling Step1-1 Capacitor Step2-19 Capacitors Step3-43 Capactors LIC + Lplanes + LDecaps + Mij L high Frequency[GHz] 3 3

4 Model for Plane Recharge Investigations ε r = 4.5 b = 10 Port2 (4,5) Port3 (4,4.95) Cdec (4.05,5) Port1 (8,7) d = 35 mil a = 12 Vdc I input Decoupling Capacitor : C = 1uF ESR = 30mOhm ESL = 0.5nH DC voltage used to charge the power plane Port 2 represents IC current draw 4

5 Charge Between Planes vs.. Charge Drawn by IC Board total charge : C*V = 3.5nF*3.3V = 11nC Pulse charge 5A peak : I*dt/2 = (1ns*5A)/2=2.5nC 5

6 Triangular pulses (5 Amps Peak) 6

7 Charge Depletion vs. Capacitor Distance 7

8 Charge Depletion for 400 mils for Various connection Inductance 8

9 Effect of Multiple Capacitors While Keeping Total Capacitance Constant The decap locations are 800mils from the power pin (power-ground pins at IC center) C=1uF ESL=0.5nH ESR=1Ω Decap Port1 (8,7) (Ls 50nH) 10 1 inch Ground pin Port2 (4,5) (power pin) εr =

10 Effect of Multiple Capacitors While Keeping Total Capacitance Constant The decap locations are 800mils from the power pin (power-ground pins at IC center) C=0.5uF ESL=0.5nH ESR=1Ω Decap Port1 (8,7) (Ls 50nH) 10 1 inch Ground pin Port2 (4,5) (power pin) εr =

11 Effect of Multiple Capacitors While Keeping Total Capacitance Constant The decap locations are 800mils from the power pin (power-ground pins at IC center) C=0.25uF ESL=0.5nH ESR=1Ω Decap Port1 (8,7) (Ls 50nH) 10 1 inch Ground pin Port2 (4,5) (power pin) εr =

12 Constant Capacitance 800 mil Distance 12

13 Constant Capacitance 800 mil Distance 13

14 Effect of Capacitor Value?? Need enough charge to supply need Depends on connection inductance 14

15 Noise Voltage is INDEPENDENT of Amount of Capacitance! Dist=400 mils ESR=30mOhms ESL=0.5nH As long as there is enough charge 15

16 What Happens if a 2 nd Decoupling Capacitor is placed near the First Via #1 Observation Point Capacitor? distance 500 mils Via #2 Moved in arc around Observation point while maintaining 500 mil distance to observation point 16

17 Second Via Around a circle d d Port = R ( x, y ) θ = 2 R sin 2 d 2 d 1 θ Port 2 Port 1 R R: distance between Port 1 and Port 2 in mil r: radius for all ports in mil d: thickness of dielectric layer in mil d1: distance between Port 3 and Port 1 in mil d2: distance between Port 2 and Port 3 in mil theta: angle as shown in the figure in degree 2 d1 + r 2 2 ln µ d ( R + r) ( d ) 1 + r µ d R + r ln 3 4π ( ) r d + r d + r 2 4π 2 ln r 4 ( R + r ) ( ) 2R sin( θ / 2) + r µ d ln 4 π r = 3 Courtesy of Jingook Kim, Jun Fan, Jim Drewniak Missouri University of Science and Technology 17

18 Effective Inductance for Various Distances to Decoupling Capacitor With Second Capacitor (Via) Equal Distance Around Circle Plane Seperation = 35 mil -- Via Diameter = 20 mil Inductnace (ph) mil 500mil 750 mil 1000 mil Angle (degrees) 18

19 500 Effective Inductance for Various Distances to Decoupling Capacitor With Second Capacitor (Via) Equal Distance Around Circle Plane Seperation = 10 mil -- Via Diameter = 20 mil Inductnace (ph) mil 250 mil 750 mil 1000 mil Angle (degrees) 19

20 Second Via Along Side R: distance between Port 1 and Port 2 in mil Port 3 ( x, y ) d 1 d 2 Port 1 R Port 2 r: radius for all ports in mil d: thickness of dielectric layer in mil d1: distance between Port 3 and Port 1 in mil d2: distance between Port 2 and Port 3 in mil = R d 2 d + 20

21 Effective Inductance for Various Distances to Decoupling Capacitor With Second Capacitor (Via) Positioned Adjacent to First Capacitor Plane Seperation = 35 mil -- Via Diameter = 20 mil Inductnace (ph) mil 250 mil 750 mil 1000 mil Distance Between Capacitors (mils) 21

22 Understanding Inductance Effects and Proximity 1 via 2 via with degree 30 10cm 10mm 20cm 10cm 2 via with degree 90 2 via with degree cm 22

23 Current Density [m] [m] A/m 2 A/m 2 [m] [m] A/m 2 [m] [m] A/m 2 [m] [m] 23

24 DUT for Experimental Validation (Single Plane pair) 10cm Shorting via 1 shorting 10cm 2mm G-S probing port 0.8mm Short Vias Short Vias θ = 0,30, 180 G-S probing port 2 shorting with 30 2 shorting with

25 Experimental Validation (Single Plane Pair) 10 Measured Input Impedance Impedance [Ω] 1 Total inductance [ph] Frequency [MHz] with only 1 via (852pH) with 2 vias with 30 (687pH) with 2 via with 180 (586H = 68.8% 852pH) theta (degree) Even in the case with two shorting vias at opposite sides (θ =180 ), the inductance value is 68.8% of that with one shorting via As two shorting vias get closer together, mutual inductance between two shorting vias increases. ( ) ( ) 3 4 µ d R + r ln 4π 2R sin( θ / 2) + r r Equation 25

26 Multiple Capacitors GND_cap PWR_cap Decaps Cavity1 GND PWR GND PWR Cavity2 Cavity3 GND PWR GND Cavity4 PWR 26

27 Via Spacing 9 mils 9 mils 20 mils 10 mils* 10 mils* Via Barrel 10 mils 60 mils 108 mils minimum 128 mils typical Distance to Planes (mils) 40 mil Spacing (nh) 0402 SMT (nh) 0603 SMT (nh)

28 Possible Configurations Dense, alternating Dense, nonalternating Spread, nonalternating Spread, alternating 28

29 120 Effective Inductance for 16 Decoupling Capacitors for Dense and Spread Configurations and Plane Pair Depth 100 Effective Inductance (ph) Dense Non-Alternating Dense Alternating Spread Non- Alternating Spread Alternating Distance into PCB (mils) 40 mil via spacing 29

30 [nh] Line L Decap Convergence G P Ldecap Comparison h=5mils Port Line Alternating Line Regular 1/n Decaps modeled as a Short [nh] h Alternating 50 mils Regular 100 mils Ldecap Comparison h=5mils Line Alternating Line Regular 1/n Number of Capacitors Number of Capacitors 30

31 G P L Decap Convergence 0402 Size Line Port Alternating h=5mils Decaps modeled as a Short [nh] 50 mils Regular 100 mils Line Horizontal Ldecap Comparison h=5mils Line Vertical a 10-3 Convention Alternating Convention Regular Line Horizontal Line Vertical 10 1 Number of Capacitors 31

32 G P L Decap Convergence 0402 Size Line Port h=5mils Decaps modeled as a Short Alternating [nh] 50 mils Regular 100 mils Line Horizontal Ldecap Comparison h=5mils Line Vertical Convention Alternating Convention Regular Line Horizontal Line Vertical a Number of Capacitors 32

33 Observations Added via (capacitor) does not lower effective inductance to 70-75% of original single via case Thicker dielectric results in higher inductance Alternating PWR/GND can significantly reduce overall inductance 33

34 Effect of Plane width on Inductance Case1 : 10 inches Case2 : 5 inches Case3 : 2 inches 1 inch Port1 Port2 34

35 Geometry Solid Plane Capacitor Port IC Port (shorting via) width 10 inches Top View 12 inches IC Port (shorting via) Capacitor Port Side View 10 mils 35

36 Inductance as a Function of Plane Width Plane Width (inches) Inductance (ph)

37 Inductance as a Function of Plane Width Plane Width (inches) Inductance (ph) (Distance=10 ) Inductance (ph) (Distance=2 ) Inductance (ph) (Distance=1 )

38 Plane Width & Current Density 38

39 Geometry for Case Studies Via Map 16 Capacitors are placed, to maintain the symmetry IC region 1.2 mil 1oz Cu Copper thickness 44 Layer 3 mil Dielectric thickness ~300 mils 0.6 mil 0.5oz 3.5 mil mil 1oz Cu 3 mil mil 0.5oz Cu 3.5 mil 100 mils Signal Net Location Reference Net Possible Power net Location 1.2 mil 1oz Cu 3 mil 39

40 Q1 & Q2. Location of Power Layer/Caps Top decaps only Power plane at mid Power plane at top IC 16 Decaps IC 16 Decaps Power plane at bottom IC 16 Decaps Bottom decaps only Away from the IC Bottom decaps only Under the IC IC IC IC 16 Decap 16 Decap IC IC IC 16 Decap 16 Decap 16 Decap Power Net under test Reference Net Floating Net 16 Decap 40 40

41 Ω PWR Layer Location Results Z 11 - Top Cap Power plane at Top Top Mid Bottom Power plane Middle Power plane Bottom Ω Z 11 - Bottom Caps - Under the IC Power plane at Top Top Mid Bottom Power plane Middle Power plane Bottom 10-4 Geometry and Currents [GHz] IC Top Cap Power layer [GHz] IC Geometry and Currents Power layer should be closest to the IC, to minimize IC to power plane inductance. Bottom Cap Under the IC 41

42 Cap Location Effect - Results Z 11 - Top Pwr Top Cap Bottom Cap-Away Bottom Cap- Under the IC Z 11 - Middle PWR Top Cap Bottom Cap-Away Bottom Cap- Under the IC Ω Ω IC [GHz] Top Cap Power layer [GHz] The capacitors should to be placed on the side closest to the power plane to reduce the inductance from the capacitor to power plane. Capacitor location does not affect the high frequency inductance. Bottom Cap Under the IC Bottom Cap Away from IC 42

43 Q3. Effect of Ground Planes Geometries IC IC Intermediate GND planes removed Intermediate GND planes removed All ground planes With top nearby ground plane IC IC With bottom nearby ground plane Intermediate GND planes removed Intermediate GND planes removed Intermediate GND planes removed Only topmost and bottommost ground planes 43 43

44 Effect of Ground Planes Results Z 11 - Top Cap All GND Planes Top Closest Bottom Closest Only Topmost & Bottommost IC Top Cap Ω 10-2 Geometry Power layer [GHz] Geometry and current path for no GND plane case Geometry and current path for all GND planes case The closest ground plane from the power plane, is most important. Other Ground planes in the stack up will not affect the L low or L high significantly. 44

45 Power Integrity Analysis Summary Physical cause of inductance (current path) identified for each portion of overall path Value of capacitance not as important as number of capacitors Via connection configuration can dramatically influence inductance If power/ground-reference planes deep in PCB stackup, capacitor placement has less impact than might be expected 45

46 Design Conclusions PWR/GND plane pair close to IC minimizes L IC Capacitors close to the power layer minimize the inductance L decap from the capacitor to the power plane. PWR/GND plane separation small Placing Caps under the IC can benefit the design, if board is thin, or the plane inductance is large. Ground plane closest to the power layer affects the response most, all other ground layer have very little influence. Ground vias for power return currents placed adjacent to the ground terminal of the capacitors reduces the inductance in the current return path 46

PCB Effects for Power Integrity

PCB Effects for Power Integrity PCB Effects for Power Integrity Bruce Archambeault, PhD IEEE Fellow, MST Adjunct Professor IBM Distinguished Engineer Emeritus Bruce.arch@ieee.org PCB Issues for Optimum Power Integrity Inductance dominates

More information

Inductance and Partial Inductance What's it all mean?

Inductance and Partial Inductance What's it all mean? Inductance and Partial Inductance What's it all mean? Bruce Archambeault, PhD IEEE Fellow, IBM Distinguished Engineer Bruce.arch@ieee.org Inductance Probably the most misunderstood concept in electrical

More information

Power Distribution Network Design for High-Speed Printed Circuit Boards

Power Distribution Network Design for High-Speed Printed Circuit Boards Power Distribution Network Design for High-Speed Printed Circuit Boards Jun Fan NCR Corporation 1 Outline Overview of PDN design in multi-layer PCBs Interconnect Inductance Individual Capacitor Values

More information

EMC Considerations for DC Power Design

EMC Considerations for DC Power Design EMC Considerations for DC Power Design Tzong-Lin Wu, Ph.D. Department of Electrical Engineering National Sun Yat-sen University Power Bus Noise below 5MHz 1 Power Bus Noise below 5MHz (Solution) Add Bulk

More information

Five Myths about the PDN

Five Myths about the PDN Slide -1 A copy of the slides is available on www.bethesignal.com: search VL-180 or PPT-180 Five Myths about the PDN Eric Bogatin, eric@bethesignal.com Signal Integrity Evangelist Bogatin Enterprises www.bethesignal.com

More information

PDN Planning and Capacitor Selection, Part 2

PDN Planning and Capacitor Selection, Part 2 by Barry Olney column BEYOND DESIGN PDN Planning and Capacitor Selection, Part 2 In last month s column, PDN Planning and Capacitor Selection Part 1, we looked closely at how to choose the right capacitor

More information

Improving Power Delivery Networks (PDNs) Using Polyimide-based Thin Laminates

Improving Power Delivery Networks (PDNs) Using Polyimide-based Thin Laminates Improving Power Delivery Networks (PDNs) Using Polyimide-based Thin Laminates 2017. 7. 19. 1 Contents 1. Embedded passives technology 2. Thin laminates: material choices and applications 3. Buried capacitance

More information

Efficient Optimization of In-Package Decoupling Capacitors for I/O Power Integrity

Efficient Optimization of In-Package Decoupling Capacitors for I/O Power Integrity 1 Efficient Optimization of In-Package Decoupling Capacitors for I/O Power Integrity Jun Chen and Lei He Electrical Engineering Department, University of California, Los Angeles Abstract With high integration

More information

HOW TO CHOOSE & PLACE DECOUPLING CAPACITORS TO REDUCE THE COST OF THE ELECTRONIC PRODUCTS

HOW TO CHOOSE & PLACE DECOUPLING CAPACITORS TO REDUCE THE COST OF THE ELECTRONIC PRODUCTS HOW TO CHOOSE & PLACE DECOUPLING CAPACITORS TO REDUCE THE COST OF THE ELECTRONIC PRODUCTS Zhen Mu and Heiko Dudek Cadence Design Systems, Inc. Kun Zhang Huawei Technologies Co., Ltd. With the edge rates

More information

Keysight Technologies Heidi Barnes

Keysight Technologies Heidi Barnes Keysight Technologies 2018.03.29 Heidi Barnes 1 S I G N A L I N T E G R I T Y A N D P O W E R I N T E G R I T Y Hewlett-Packard Agilent Technologies Keysight Technologies Bill and Dave s Company and the

More information

PDN Planning and Capacitor Selection, Part 1

PDN Planning and Capacitor Selection, Part 1 by Barry Olney column BEYOND DESIGN PDN Planning and Capacitor Selection, Part 1 In my first column on power distribution network (PDN) planning, Beyond Design: Power Distribution Network Planning, I described

More information

Phys 2025, First Test. September 20, minutes Name:

Phys 2025, First Test. September 20, minutes Name: Phys 05, First Test. September 0, 011 50 minutes Name: Show all work for maximum credit. Each problem is worth 10 points. Work 10 of the 11 problems. k = 9.0 x 10 9 N m / C ε 0 = 8.85 x 10-1 C / N m e

More information

PDN Tool: Ananalytical Model to Calculate the Input Impedance of Chip and Silicon Interposer Power Distribution

PDN Tool: Ananalytical Model to Calculate the Input Impedance of Chip and Silicon Interposer Power Distribution Journal of Contemporary Electronic Research Education and Research Application Research Article PDN Tool: Ananalytical Model to Calculate the Input Impedance of Chip and Silicon Interposer Power Distribution

More information

Distributed SPICE Circuit Model for Ceramic Capacitors

Distributed SPICE Circuit Model for Ceramic Capacitors Published in Conference Record, Electrical Components Technology Conference (ECTC), Lake Buena Vista, Florida, pp. 53-58, May 9, 00. Distributed SPICE Circuit Model for Ceramic Capacitors Larry D Smith,

More information

Considerations for Capacitor Selection in FPGA Designs

Considerations for Capacitor Selection in FPGA Designs Considerations for Capacitor Selection in FPGA Designs Steve Weir Steve Weir Design Engineering & Teraspeed Consulting Group 2036 Clydesdale Way Petaluma, CA 94954 Voice (775) 762-9031 FAX (707) 778-9386

More information

TECHNICAL INFORMATION

TECHNICAL INFORMATION TECHNICAL INFORMATION THE EFFECTS OF ESR AND ESL IN DIGITAL DECOUPLING APPLICATIONS by Jeffrey Cain, Ph.D. AVX Corporation Abstract: It is common place for digital integrated circuits to operate at switching

More information

X2Y Capacitors for FPGA Decoupling

X2Y Capacitors for FPGA Decoupling Summary Introduction FPGA Decoupling X2Y capacitors provide advantages to FPGA decoupling applications unmatched by any other devices in the market. High performance, low-voltage FPGAs demand low impedance

More information

X2Y Technology. X2Y Comparative Decoupling Performance in 4 Layer PCBs

X2Y Technology. X2Y Comparative Decoupling Performance in 4 Layer PCBs X2Y Technology X2Y Comparative Decoupling Performance in 4 Layer PCBs Four / Six Layer PCB Decoupling Challenges Cost and area are always major factors. Decoupling performance is determined by the transfer

More information

Characteristic of Capacitors

Characteristic of Capacitors 3.5. The Effect of Non ideal Capacitors Characteristic of Capacitors 12 0 (db) 10 20 30 capacitor 0.001µF (1000pF) Chip monolithic 40 two-terminal ceramic capacitor 0.001µF (1000pF) 2.0 x 1.25 x 0.6 mm

More information

Improving PCB Power Distribution Networks through Effective Capacitor Selection and Placement

Improving PCB Power Distribution Networks through Effective Capacitor Selection and Placement UNIVERSITY OF WATERLOO FACULTY OF ENGINEERING Improving PCB Power Distribution Networks through Effective Capacitor Selection and Placement Christie Digital Systems Kitchener, Ontario Prepared by: Eric

More information

Graser User Conference Only

Graser User Conference Only PCB Power Delivery Design from DC to Mid-Frequency Foxconn Abby Chou Company Introduction February 1974 Tucheng District 1.23 million Server Storage Mobile Phone Pad TV Voltage Drop and Thermal Co-Simulation

More information

POWERING DIGITAL BOARDS

POWERING DIGITAL BOARDS POWERING DIGITAL BOARDS DISTRIBUTION AND PERFORMANCE Istvan Novak, Signal Integrity Staff Engineer SUN Microsystems, Inc. Meeting of the Greater Boston Chapter IPC Designer's Council February 9, 1999 1

More information

EFFICIENT STRATEGIES TO OPTIMIZE A POWER DISTRIBUTION NETWORK

EFFICIENT STRATEGIES TO OPTIMIZE A POWER DISTRIBUTION NETWORK EFFICIENT STRATEGIES TO OPTIMIZE A POWER DISTRIBUTION NETWORK Raul FIZEŞAN, Dan PITICĂ Applied Electronics Department of UTCN 26-28 Baritiu Street, Cluj-Napoca, raul.fizesan@ael.utcluj.ro Abstract: One

More information

Frequency Domain Target Impedance Method for Bypass Capacitor Selection for Power Distribution Systems

Frequency Domain Target Impedance Method for Bypass Capacitor Selection for Power Distribution Systems DesignCon 2006 Frequency Domain Target Impedance Method for Bypass Capacitor Selection for Power Distribution Systems Larry D Smith, Altera Corporation lsmith@altera.com 408-544-7822 Abstract There has

More information

Introduction. HFSS 3D EM Analysis S-parameter. Q3D R/L/C/G Extraction Model. magnitude [db] Frequency [GHz] S11 S21 -30

Introduction. HFSS 3D EM Analysis S-parameter. Q3D R/L/C/G Extraction Model. magnitude [db] Frequency [GHz] S11 S21 -30 ANSOFT Q3D TRANING Introduction HFSS 3D EM Analysis S-parameter Q3D R/L/C/G Extraction Model 0-5 -10 magnitude [db] -15-20 -25-30 S11 S21-35 0 1 2 3 4 5 6 7 8 9 10 Frequency [GHz] Quasi-static or full-wave

More information

INTEGRATED CIRCUITS. 74ALS11A Triple 3-Input AND gate. Product specification 1991 Feb 08 IC05 Data Handbook

INTEGRATED CIRCUITS. 74ALS11A Triple 3-Input AND gate. Product specification 1991 Feb 08 IC05 Data Handbook INTEGRATED CIRCUITS Triple 3-Input AND gate 1991 Feb 08 IC05 Data Handbook TYPE TYPICAL PROPAGATION DELAY TYPICAL SUPPLY CURRENT (TOTAL) 5.5ns 1.3mA PIN CONFIGURATION 1A 1 1B 2 14 13 V CC 1C ORDERING INFORMATION

More information

Differential Impedance finally made simple

Differential Impedance finally made simple Slide - Differential Impedance finally made simple Eric Bogatin President Bogatin Enterprises 93-393-305 eric@bogent.com Slide -2 Overview What s impedance Differential Impedance: a simple perspective

More information

How to Analyze the EMC of a Complete Server System?

How to Analyze the EMC of a Complete Server System? How to Analyze the EMC of a Complete Server System? Christian Schuster and Xiaomin Duan Institut für Hamburg, Germany Workshop on Hybrid Computational Electromagnetic Methods for EMC/EMI (WS10) EMC Europe,

More information

POWER DISTRIBUTION SYSTEM Calculating PDS Impedance Douglas Brooks Ultracad Design, Inc

POWER DISTRIBUTION SYSTEM Calculating PDS Impedance Douglas Brooks Ultracad Design, Inc POWER DISTRIBUTION SYSTEM Calculating PDS Impedance Douglas Brooks Ultracad Design, Inc On a PCB (Printed Circuit Board) the Power Distribution System (PDS) is the system that distributes power from the

More information

Understanding Capacitor Inductance and Measurement in Power Bypass Applications

Understanding Capacitor Inductance and Measurement in Power Bypass Applications Understanding Capacitor Inductance and Measurement in Power Bypass Applications Summary Power supply bypass is a critical function in all electronics. High frequency capacitor performance depends on the

More information

High Performance FPGA Bypass Networks

High Performance FPGA Bypass Networks DesignCon 2005 High Performance FPGA Bypass Networks Steve Weir, Teraspeed Consulting Group steve@teraspeed.com Scott McMorrow, President, Teraspeed Consulting Group scott@teraspeed.com (401) 284-1827

More information

D-Pack 3D Interposer Decoupling System

D-Pack 3D Interposer Decoupling System D-Pack 3D Interposer Decoupling System Michael Randall, John Prymak, Mark Laps, Garry Renner, Peter Blais, Paul Staubli, Aziz Tajuddin KEMET Electronics Corporation, P.O. Box 5928, Greenville, SC 29606

More information

Education, Xidian University, Xi an, Shaanxi , China

Education, Xidian University, Xi an, Shaanxi , China Progress In Electromagnetics Research, Vol. 142, 423 435, 2013 VERTICAL CASCADED PLANAR EBG STRUCTURE FOR SSN SUPPRESSION Ling-Feng Shi 1, 2, * and Hong-Feng Jiang 1, 2 1 Key Lab of High-Speed Circuit

More information

Analysis of TSV-to-TSV Coupling with High-Impedance Termination in 3D ICs

Analysis of TSV-to-TSV Coupling with High-Impedance Termination in 3D ICs Analysis of -to- Coupling with -Impedance Termination in 3D ICs Taigon Song, Chang Liu, Dae Hyun Kim, and Sung Kyu Lim School of Electrical and Computer Engineering, Georgia Institute of Technology, U.S.A.

More information

Power Distribution System Design Methodology and Capacitor Selection for Modern CMOS Technology

Power Distribution System Design Methodology and Capacitor Selection for Modern CMOS Technology Power Distribution System Design Methodology and Capacitor Selection for Modern CMOS Technology Abstract Larry Smith, Raymond Anderson, Doug Forehand, Tom Pelc, Tanmoy Roy Sun Microsystems, Inc. MS MPK15-103

More information

Electromagnetic Modeling and Signal Integrity Simulation of Power/Ground Networks in High Speed Digital Packages and Printed Circuit Boards

Electromagnetic Modeling and Signal Integrity Simulation of Power/Ground Networks in High Speed Digital Packages and Printed Circuit Boards Electromagnetic Modeling and Signal Integrity Simulation of Power/Ground Networks in High Speed Digital Packages and Printed Circuit Boards Frank Y. Yuan Viewlogic Systems Group, Inc. 385 Del Norte Road

More information

SRAM System Design Guidelines

SRAM System Design Guidelines Introduction This application note examines some of the important system design considerations an engineer should keep in mind when designing with Cypress SRAMs. It is important to note that while they

More information

TECHNICAL INFORMATION

TECHNICAL INFORMATION TECHNICAL INFORMATION Introduction to Choosing MLC Capacitors For Bypass/Decoupling Applications Yun Chase AV Corporation 80 7th Avenue South Myrtle Beach, SC 29577 Abstract: Methods to ensure signal integrity

More information

MAU100 Series. 1W, Miniature SIP, Single & Dual Output DC/DC Converters MINMAX. Key Features

MAU100 Series. 1W, Miniature SIP, Single & Dual Output DC/DC Converters MINMAX. Key Features W, Miniature SIP, Single & Dual Output DC/DC s Key Features Efficiency up to % 000 Isolation MTBF >,000,000 Hours Low Cost Input,, and Output 3.3,,9,,,{,{9,{ and { Temperature Performance -0] to +] UL

More information

UPC. 5. Properties and modeling of onchip Power Distribution Networks. Decoupling capacitance

UPC. 5. Properties and modeling of onchip Power Distribution Networks. Decoupling capacitance 5. Properties and modeling of onchip Power Distribution Networks Decoupling capacitance Electrical properties of on-chip PDN: capacitance Capacitance associated with PDN: Gates Interconnects Well (in standard

More information

Using Full Wave Solvers for Practical Analysis of Capacitor Mounting Structures

Using Full Wave Solvers for Practical Analysis of Capacitor Mounting Structures Using Full Wave Solvers for Practical Analysis of Capacitor Mounting Structures Scott McMorrow, Steve Weir, Teraspeed Consulting Group LLC Fabrizio Zanella, CST of America 1 Outline o MLCC Basics o MLCC

More information

Module 2 : Transmission Lines. Lecture 10 : Transmisssion Line Calculations Using Smith Chart. Objectives. In this course you will learn the following

Module 2 : Transmission Lines. Lecture 10 : Transmisssion Line Calculations Using Smith Chart. Objectives. In this course you will learn the following Objectives In this course you will learn the following What is a constant VSWR circle on the - plane? Properties of constant VSWR circles. Calculations of load reflection coefficient. Calculation of reflection

More information

Omar M. Ramahi University of Waterloo Waterloo, Ontario, Canada

Omar M. Ramahi University of Waterloo Waterloo, Ontario, Canada Omar M. Ramahi University of Waterloo Waterloo, Ontario, Canada Traditional Material!! Electromagnetic Wave ε, μ r r The only properties an electromagnetic wave sees: 1. Electric permittivity, ε 2. Magnetic

More information

PRODUCTION DATA SHEET

PRODUCTION DATA SHEET The positive voltage linear regulator is configured with a fixed 3.3V output, featuring low dropout, tight line, load and thermal regulation. VOUT is controlled and predictable as UVLO and output slew

More information

Commercial Chip - R3L 16Vdc to 5kVdc

Commercial Chip - R3L 16Vdc to 5kVdc Commercial Chip - R3L 16Vdc to 5kVdc A range of commercial MLC chip capacitors in R3L dielectric. This is a Class I temperature compensating N22 dielectric with an energy density that exceeds conventional

More information

ECE 497 JS Lecture -07 Planar Transmission Lines

ECE 497 JS Lecture -07 Planar Transmission Lines ECE 497 JS Lecture -07 Planar Transmission Lines Spring 2004 Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jose@emlab.uiuc.edu 1 Microstrip ε Z o w/h < 3.3 2 119.9 h h =

More information

The Basic Capacitor. Water Tower / Capacitor Analogy. "Partnering With Our Clients for Combined Success"

The Basic Capacitor. Water Tower / Capacitor Analogy. Partnering With Our Clients for Combined Success CAPACITOR BASICS I How s Work The Basic A capacitor is an electrical device which serves to store up electrical energy for release at a predetermined time. In its most basic form, it is comprised of three

More information

MAU100 Series. 1W, Miniature SIP, Single & Dual Output DC/DC Converters MINMAX. Block Diagram. Key Features

MAU100 Series. 1W, Miniature SIP, Single & Dual Output DC/DC Converters MINMAX. Block Diagram. Key Features MAU Series W, Miniature SIP, Single & DC/DC s Key Features Efficiency up to 0 Isolation MTBF >,000,000 Hours Low Cost Input,, and Output 3.3,,9,,,{,{9,{ and { Temperature Performance -0 to UL 9V-0 Package

More information

SCSI Connector and Cable Modeling from TDR Measurements

SCSI Connector and Cable Modeling from TDR Measurements SCSI Connector and Cable Modeling from TDR Measurements Dima Smolyansky TDA Systems, Inc. http://www.tdasystems.com Presented at SCSI Signal Modeling Study Group Rochester, MN, December 1, 1999 Outline

More information

Reducing EMI Noise by Suppressing Power-Distribution Resonances. Istvan Novak Distinguished Engineer, Signal and Power Integrity Sun Microsystems 1

Reducing EMI Noise by Suppressing Power-Distribution Resonances. Istvan Novak Distinguished Engineer, Signal and Power Integrity Sun Microsystems 1 Reducing EMI Noise by Suppressing Power-Distribution Resonances Istvan Novak Distinguished Engineer, Signal and Power Integrity Sun Microsystems 1 Outline Introduction: revisiting the definition of EMI

More information

MAU200 Series. 1W, High Isolation SIP, Single & Dual Output DC/DC Converters MINMAX. Block Diagram. Key Features

MAU200 Series. 1W, High Isolation SIP, Single & Dual Output DC/DC Converters MINMAX. Block Diagram. Key Features Component Distributors, Inc. ~ www.cdiweb.com ~ sales@cdiweb.com ~ -0--33 W, High Isolation SIP, Single & DC/DC s Key Features Efficiency up to 00 Isolation MTBF >,000,000 Hours Low Cost Input, and Output

More information

How Resonant Structures Affect Power Distribution Networks and Create Emissions.

How Resonant Structures Affect Power Distribution Networks and Create Emissions. How Resonant Structures Affect Power Distribution Networks and Create Emissions. Presented by Joanna McLellan January 17, 2019 JoannaEMC@iCloud.com 248-765-3599 Lots of people have the paradigm that adding

More information

Modeling and optimization of noise coupling in TSV-based 3D ICs

Modeling and optimization of noise coupling in TSV-based 3D ICs LETTER IEICE Electronics Express, Vol.11, No.20, 1 7 Modeling and optimization of noise coupling in TSV-based 3D ICs Yingbo Zhao, Yintang Yang, and Gang Dong a) School of Microelectronics, Xidian University,

More information

Commercial Chip - C0G 16Vdc to 10kVdc

Commercial Chip - C0G 16Vdc to 10kVdc Commercial Chip - CG 16Vdc to 1kVdc A range of commercial MLC chip capacitors in Ultra stable EIA Class I CG, or NP, dielectric. CG chips are used in precision circuitry requiring Class I stability and

More information

Energy Stored in Capacitors

Energy Stored in Capacitors Energy Stored in Capacitors U = 1 2 qv q = CV U = 1 2 CV 2 q 2 or U = 1 2 C 37 Energy Density in Capacitors (1) We define the, u, as the electric potential energy per unit volume Taking the ideal case

More information

BGA footprints modeling and physics based via models validation for power and signal integrity applications

BGA footprints modeling and physics based via models validation for power and signal integrity applications Scholars' Mine Doctoral Dissertations Student Theses and Dissertations Fall 2007 BGA footprints modeling and physics based via models validation for power and signal integrity applications Giuseppe Selli

More information

KH600. 1GHz, Differential Input/Output Amplifier. Features. Description. Applications. Typical Application

KH600. 1GHz, Differential Input/Output Amplifier. Features. Description. Applications. Typical Application KH 1GHz, Differential Input/Output Amplifier www.cadeka.com Features DC - 1GHz bandwidth Fixed 1dB (V/V) gain 1Ω (differential) inputs and outputs -7/-dBc nd/3rd HD at MHz ma output current 9V pp into

More information

ECE 497 JS Lecture - 18 Noise in Digital Circuits

ECE 497 JS Lecture - 18 Noise in Digital Circuits ECE 497 JS Lecture - 18 Noise in Digital Circuits Spring 2004 Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jose@emlab.uiuc.edu 1 Announcements Thursday April 15 th Speaker:

More information

Lecture 21: Packaging, Power, & Clock

Lecture 21: Packaging, Power, & Clock Lecture 21: Packaging, Power, & Clock Outline Packaging Power Distribution Clock Distribution 2 Packages Package functions Electrical connection of signals and power from chip to board Little delay or

More information

Website: vlsicad.ucsd.edu/ courses/ ece260bw05. ECE 260B CSE 241A Parasitic Extraction 1

Website:  vlsicad.ucsd.edu/ courses/ ece260bw05. ECE 260B CSE 241A Parasitic Extraction 1 ECE260B CSE241A Winter 2005 Parasitic Extraction Website: / courses/ ece260bw05 ECE 260B CSE 241A Parasitic Extraction 1 Conventional Design Flow Funct. Spec RTL Behav. Simul. Logic Synth. Stat. Wire Model

More information

FEATURES AND APPLICATIONS OF POLYMER THIN FILM MULTI-LAYER CAPACITOR PML CAP

FEATURES AND APPLICATIONS OF POLYMER THIN FILM MULTI-LAYER CAPACITOR PML CAP FEATURES AND APPLICATIONS OF POLYMER THIN FILM MULTI-LAYER CAPACITOR PML CAP PML CAP Polymer Multi-Layer Capacitor (PML CAP) is a surface mounting capacitor with multiple metal-deposited polymer layers

More information

Distributing Tomorrow s Technologies For Today s Designs Toll-Free:

Distributing Tomorrow s Technologies For Today s Designs Toll-Free: 2W, Ultra-High Isolation DIP, Single & DC/DC s Key Features Low Cost 6 Isolation MTBF > 6, Hours Short Circuit Protection Input, and 24 Output,, 1, {, { and {1 Regulated Outputs Low Isolation Capacitance

More information

ECE 451 Transmission Lines & Packaging

ECE 451 Transmission Lines & Packaging Transmission Lines & Packaging Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jose@emlab.uiuc.edu 1 Radio Spectrum Bands The use of letters to designate bands has long ago

More information

ELECTROSTATIC CBSE BOARD S IMPORTANT QUESTIONS OF 1 MARKS

ELECTROSTATIC CBSE BOARD S IMPORTANT QUESTIONS OF 1 MARKS ELECTROSTATIC CBSE BOARD S IMPORTANT QUESTIONS OF 1 MARKS 1. Name any two basic properties of electric charge. [1] 2. Define the term electric dipole-moment. [1] 3. Write the physical quantity, which has

More information

13 Amp Programmable DC/DC Regulator PTK series. 3.3VDC, 5VDC, or 12VDC Input

13 Amp Programmable DC/DC Regulator PTK series. 3.3VDC, 5VDC, or 12VDC Input 3.3VDC, 5VDC, or 12VDC Input 5-Bit Programmable from 1.3VDC to 3.5VDC or 1.1 to 1.85VDC at 13A Output Ultra-High Efficiency - No Heatsink Required! Remote Sense/Power Good Signal Short Circuit/Over-Voltage

More information

Short Papers. Efficient In-Package Decoupling Capacitor Optimization for I/O Power Integrity

Short Papers. Efficient In-Package Decoupling Capacitor Optimization for I/O Power Integrity 734 IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, VOL. 26, NO. 4, APRIL 2007 Short Papers Efficient In-Package Decoupling Capacitor Optimization for I/O Power Integrity

More information

Type FCA Acrylic Surface Mount Film Capacitors

Type FCA Acrylic Surface Mount Film Capacitors Type Acrylic Surface Mount Film Capacitors Acrylic Stacked Metallized Film Capacitors for Filtering and Noise Attenuation Type acrylic film chips are non-inductive stacked metallized film capacitors which

More information

Lecture 15: Inductor & Capacitor

Lecture 15: Inductor & Capacitor ECE 1270: Introduction to Electric Circuits 0 Lecture 15: Inductor & Capacitor Chapter 6 Inductance, Capacitance, and Mutual Inductance Sections 6.1-6.3 EE 1270: Introduction to Electric Circuits 1 Inductor

More information

ARIES: Using Annular-Ring Embedded Resistors to Set Capacitor ESR in Power Distribution Networks

ARIES: Using Annular-Ring Embedded Resistors to Set Capacitor ESR in Power Distribution Networks St.,Cyr-Novak-Biunno-Howard: Using Embedded Resistors to Set Capacitor ESR in Power Distribution Networks. ARIES: Using Annular-Ring Embedded Resistors to Set Capacitor ESR in Power Distribution Networks

More information

GHz 6-Bit Digital Phase Shifter

GHz 6-Bit Digital Phase Shifter 180 90 45 22.5 11.25 5.625 ASL 2004P7 3.1 3.5 GHz 6-Bit Digital Phase Shifter Features Functional Diagram Frequency Range: 3.1 to 3.5 GHz RMS Error < 2 deg. 5 db Insertion Loss TTL Control Inputs 0.5-um

More information

Modeling of Signal and Power Integrity in System on Package Applications

Modeling of Signal and Power Integrity in System on Package Applications Modeling of Signal and Power Integrity in System on Package Applications Madhavan Swaminathan and A. Ege Engin Packaging Research Center, School of Electrical and Computer Engineering, Georgia Institute

More information

Analytical Extraction of Via Near-Field Coupling Using a Multiple Scattering Approach

Analytical Extraction of Via Near-Field Coupling Using a Multiple Scattering Approach Analytical Extraction of Via Near-Field Coupling Using a Multiple Scattering Approach 17 th IEEE Workshop on Signal and Power Integrity May 12-15, 213 Paris, France Sebastian Müller 1, Andreas Hardock

More information

SIMULTANEOUS SWITCHING NOISE MITIGATION CAPABILITY WITH LOW PARASITIC EFFECT USING APERIODIC HIGH-IMPEDANCE SURFACE STRUCTURE

SIMULTANEOUS SWITCHING NOISE MITIGATION CAPABILITY WITH LOW PARASITIC EFFECT USING APERIODIC HIGH-IMPEDANCE SURFACE STRUCTURE Progress In Electromagnetics Research Letters, Vol. 4, 149 158, 2008 SIMULTANEOUS SWITCHING NOISE MITIGATION CAPABILITY WITH LOW PARASITIC EFFECT USING APERIODIC HIGH-IMPEDANCE SURFACE STRUCTURE C.-S.

More information

Learnabout Electronics - AC Theory

Learnabout Electronics - AC Theory Learnabout Electronics - AC Theory Facts & Formulae for AC Theory www.learnabout-electronics.org Contents AC Wave Values... 2 Capacitance... 2 Charge on a Capacitor... 2 Total Capacitance... 2 Inductance...

More information

Analytical Optimization of High Performance and High Quality Factor MEMS Spiral Inductor

Analytical Optimization of High Performance and High Quality Factor MEMS Spiral Inductor Progress In Electromagnetics Research M, Vol. 34, 171 179, 2014 Analytical Optimization of High Performance and High Quality Factor MEMS Spiral Inductor Parsa Pirouznia * and Bahram Azizollah Ganji Abstract

More information

The Development of a Closed-Form Expression for the Input Impedance of Power-Return Plane Structures

The Development of a Closed-Form Expression for the Input Impedance of Power-Return Plane Structures 478 IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, VOL. 45, NO. 3, AUGUST 2003 The Development of a Closed-Form Expression for the Input Impedance of Power-Return Plane Structures Minjia Xu, Member,

More information

Automatic Package and Board Decoupling Capacitor Placement Using Genetic Algorithms and M-FDM

Automatic Package and Board Decoupling Capacitor Placement Using Genetic Algorithms and M-FDM 31.2 Automatic Package and Board Decoupling Capacitor Placement Using Genetic Algorithms and M-FDM Krishna Bharath, Ege Engin and Madhavan Swaminathan School of ECE Georgia Institute of Technology 777

More information

E40M Capacitors. M. Horowitz, J. Plummer, R. Howe

E40M Capacitors. M. Horowitz, J. Plummer, R. Howe E40M Capacitors 1 Reading Reader: Chapter 6 Capacitance A & L: 9.1.1, 9.2.1 2 Why Are Capacitors Useful/Important? How do we design circuits that respond to certain frequencies? What determines how fast

More information

Surface Mount Chip Capacitors

Surface Mount Chip Capacitors Features High '' Factor at high frequencies High RF power capabilities Low High self resonant frequencies Excellent stability across temperature range Small size High Frequency Measurement and Performance

More information

AP Physics C. Electric Circuits III.C

AP Physics C. Electric Circuits III.C AP Physics C Electric Circuits III.C III.C.1 Current, Resistance and Power The direction of conventional current Suppose the cross-sectional area of the conductor changes. If a conductor has no current,

More information

Physics (

Physics ( Exercises Question 2: Two charges 5 0 8 C and 3 0 8 C are located 6 cm apart At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero

More information

Reading: Electrostatics 3. Key concepts: Capacitance, energy storage, dielectrics, energy in the E-field.

Reading: Electrostatics 3. Key concepts: Capacitance, energy storage, dielectrics, energy in the E-field. Reading: Electrostatics 3. Key concepts: Capacitance, energy storage, dielectrics, energy in the E-field. 1.! Questions about charging and discharging capacitors. When an uncharged capacitor is connected

More information

iclicker A metal ball of radius R has a charge q. Charge is changed q -> - 2q. How does it s capacitance changed?

iclicker A metal ball of radius R has a charge q. Charge is changed q -> - 2q. How does it s capacitance changed? 1 iclicker A metal ball of radius R has a charge q. Charge is changed q -> - 2q. How does it s capacitance changed? q A: C->2 C0 B: C-> C0 C: C-> C0/2 D: C->- C0 E: C->-2 C0 2 iclicker A metal ball of

More information

Transient Response of Transmission Lines and TDR/TDT

Transient Response of Transmission Lines and TDR/TDT Transient Response of Transmission Lines and TDR/TDT Tzong-Lin Wu, Ph.D. EMC Lab. Department of Electrical Engineering National Sun Yat-sen University Outlines Why do we learn the transient response of

More information

Transmission Lines. Author: Michael Leddige

Transmission Lines. Author: Michael Leddige Transmission Lines Author: Michael Leddige 1 Contents PCB Transmission line structures Equivalent Circuits and Key Parameters Lossless Transmission Line Analysis Driving Reflections Systems Reactive Elements

More information

TECHNICAL INFORMATION

TECHNICAL INFORMATION TECHNICAL INFORMATION LICA (LOW INDUCTANCE CAPACITOR ARRAY) FLIP-CHIP APPLICATION NOTES by Jeff Cantlebary AVX Corporation LICA (LOW INDUCTANCE CAPACITOR ARRAY) FLIP-CHIP APPLICATION NOTES Introduction

More information

Power Factor Improvement

Power Factor Improvement Salman bin AbdulazizUniversity College of Engineering Electrical Engineering Department EE 2050Electrical Circuit Laboratory Power Factor Improvement Experiment # 4 Objectives: 1. To introduce the concept

More information

) Rotate L by 120 clockwise to obtain in!! anywhere between load and generator: rotation by 2d in clockwise direction. d=distance from the load to the

) Rotate L by 120 clockwise to obtain in!! anywhere between load and generator: rotation by 2d in clockwise direction. d=distance from the load to the 3.1 Smith Chart Construction: Start with polar representation of. L ; in on lossless lines related by simple phase change ) Idea: polar plot going from L to in involves simple rotation. in jj 1 ) circle

More information

Announcements. EE141- Fall 2002 Lecture 25. Interconnect Effects I/O, Power Distribution

Announcements. EE141- Fall 2002 Lecture 25. Interconnect Effects I/O, Power Distribution - Fall 2002 Lecture 25 Interconnect Effects I/O, Power Distribution Announcements Homework 9 due next Tuesday Hardware lab this week Project phase 2 due in two weeks 1 Today s Lecture Impact of interconnects»

More information

IMPORTANT Read these directions carefully:

IMPORTANT Read these directions carefully: Physics 208: Electricity and Magnetism Common Exam 2, October 17 th 2016 Print your name neatly: First name: Last name: Sign your name: Please fill in your Student ID number (UIN): _ - - Your classroom

More information

Lecture 23. Dealing with Interconnect. Impact of Interconnect Parasitics

Lecture 23. Dealing with Interconnect. Impact of Interconnect Parasitics Lecture 23 Dealing with Interconnect Impact of Interconnect Parasitics Reduce Reliability Affect Performance Classes of Parasitics Capacitive Resistive Inductive 1 INTERCONNECT Dealing with Capacitance

More information

ESE 570: Digital Integrated Circuits and VLSI Fundamentals

ESE 570: Digital Integrated Circuits and VLSI Fundamentals ESE 570: Digital Integrated Circuits and VLSI Fundamentals Lec 24: April 19, 2018 Crosstalk and Wiring, Transmission Lines Lecture Outline! Crosstalk! Repeaters in Wiring! Transmission Lines " Where transmission

More information

Benefits of Stacked-Wafer Capacitors for High-Frequency Buck Converters

Benefits of Stacked-Wafer Capacitors for High-Frequency Buck Converters Benefits of Stacked-Wafer Capacitors for High-Frequency Buck Converters Michael W. Baker, PhD Maxim Integrated Power SoC Northeastern University, Boston MA. October 7, 2014 Mobile Device Trends Power Management

More information

Physics 3211: Electromagnetic Theory (Tutorial)

Physics 3211: Electromagnetic Theory (Tutorial) Question 1 a) The capacitor shown in Figure 1 consists of two parallel dielectric layers and a voltage source, V. Derive an equation for capacitance. b) Find the capacitance for the configuration of Figure

More information

Pilkor components Metallized Polypropylene Film Capacitors PCPW 225 ( Switching Application ) APPLICATIONS

Pilkor components Metallized Polypropylene Film Capacitors PCPW 225 ( Switching Application ) APPLICATIONS QUICK REFERENCE DATA Capacitance range Capacitance tolerance Rated voltage (V Rdc ) Non recurrent surge voltage (Vpk) Max. repetitive peak voltage (Vpkr) Max. non-repetitive peak current (Ipkr) Dissipation

More information

Non-Sinusoidal Waves on (Mostly Lossless)Transmission Lines

Non-Sinusoidal Waves on (Mostly Lossless)Transmission Lines Non-Sinusoidal Waves on (Mostly Lossless)Transmission Lines Don Estreich Salazar 21C Adjunct Professor Engineering Science October 212 https://www.iol.unh.edu/services/testing/sas/tools.php 1 Outline of

More information

EXP. NO. 3 Power on (resistive inductive & capacitive) load Series connection

EXP. NO. 3 Power on (resistive inductive & capacitive) load Series connection OBJECT: To examine the power distribution on (R, L, C) series circuit. APPARATUS 1-signal function generator 2- Oscilloscope, A.V.O meter 3- Resisters & inductor &capacitor THEORY the following form for

More information

TRANSIENT currents drawn by the active devices on a

TRANSIENT currents drawn by the active devices on a 74 IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, VOL. 48, NO. 1, FEBRUARY 2006 A Closed-Form Expression for Estimating Radiated Emissions From the Power Planes in a Populated Printed Circuit Board

More information

The Analysis and Experimental Investigation of Electromagnetic Characteristics on High Speed Circuit PDN with Multislots

The Analysis and Experimental Investigation of Electromagnetic Characteristics on High Speed Circuit PDN with Multislots Progress n Electromagnetics Research M, Vol. 69, 77 86, 18 The Analysis and Experimental nvestigation of Electromagnetic Characteristics on High Speed Circuit PDN with Multislots Yan Li 1, Zhiyi Gao 1,

More information

Accurate Modeling of Spiral Inductors on Silicon From Within Cadence Virtuoso using Planar EM Simulation. Agilent EEsof RFIC Seminar Spring 2004

Accurate Modeling of Spiral Inductors on Silicon From Within Cadence Virtuoso using Planar EM Simulation. Agilent EEsof RFIC Seminar Spring 2004 Accurate Modeling of Spiral Inductors on Silicon From Within Cadence Virtuoso using Planar EM Simulation Agilent EEsof RFIC Seminar Spring Overview Spiral Inductor Models Availability & Limitations Momentum

More information