A Cantoni 2013,2016,2018,2019Revision: Date:2.2 8/5/2018Title:ELEC4401-2019 Project –Modelling andAnalysis of Power Planes and Power SupplySystemsAuthor(s):Antonio CantoniDocument History:Revision Date Comments1.0 12/10/2006 Initial Draft1.1 8/3/2013 Minor Corrections1.2 3/2/2017 Submission information added2.0 4/3/2018 Adapted to include GUI Tool2.12.27/5/2018 Added board dimensions in P4.1Added lumped model parameters.Department of Electrical, Electronicand Computer Engineering Table of Contents A.Cantoni 2018 i of iTable of Contents1 Introduction ............................................................................... 11.1 IMPORTANT NOTE ......................................................................................21.2 Individual Report .............................................................................................21.3 Project Report Organisation .............................................................................22 Summary of Software tools ....................................................... 32.1 Coordinate System for Port Location ...............................................................43 Investigations ............................................................................ 53.1 The impact of the dimension of power ground plane pair on Port Impedances..63.2 Adding Lumped Loads to Power Planes ...........................................................63.3 Stitching Power Planes Structures ....................................................................73.4 Modelling Complete Distribution Systems .......................................................94 References ................................................................................ 12 Introduction? A.Cantoni 2013,2018 1 of 121 IntroductionThe objective of this project is to gain experience in aspects of the design of one part ofan electronic system. Specifically, the project is concerned with the power supplydistribution system which is comprised of the DC regulator and one or more zonescreated using power planes on a printed circuit board. The modelling and analysis ofthis type of system involves both circuit theory and electromagnetic theory. In thisproject, software tools based on the results obtained from these two areas will be used toinvestigate the effect of various options that arise in design of the power supplydistribution system. The options are related to the use of zones to reduce couplingamong sub-circuits and the use of a range of decoupling components such as ferritebeads and capacitors of various types (high frequency and low frequency capacitors) .Approximate analytical modelling of parts of a power supply distribution system iscertainly possible and indeed necessary in order to appreciate what the key parametersare and how these impact performance. However, validation of the approximate analysiswith models of higher accuracy is often required. These more accurate models usuallydo not lead to closed form parametric results and also are not amenable to completesystems that are quite complex. In this case, we turn to software tools which makeevaluation of quite complex systems possible and undertake numerical studies. Thisproject is concerned with numerical studies of aspects of a power supply distributionsystem using software tools derived from circuit theory and electromagnetic theory.This document provides an introduction to the software tools and then proposes anumber of scenarios that you should investigate using the tools. The proposals areidentified as Px.y. Each proposal requires you to investigate some particularcharacteristic for number of scenarios or for parameters specified within some limits.For example, investigate the effect of the size of a zone on the impedance at a port onthe zone. It is up to you to decide the level of detail to be pursued in the investigationand the range of parameter values within the given limits that should be used. Yourreport should be written strictly with hindsight and should not present an exhaustive or apurely chronological study, but rather, you should isolate the key effects and identifybroad trends that you have seen in your numerical studies and support these conclusionwith selected and small number of numerical results. Introduction A.Cantoni 2013 2 of 121.1 IMPORTANT NOTEThe software tools that will be provided for you to carry out the project described in thisdocument consist of MATLAB PCBStructure Tools and a PSImpedance Tool thatprovides a GUI interface to the MATLAB PCBStructure Tools through a user friendlyGUI interface to define and analyse power supply distribution systems.You are permitted to use these tools as a student enrolled in the unit ELEC4401 atUWA for the purpose of carrying out the project described in this document. You arerequired to acknowledge the source of the tools in any report you write that has resultsobtained by using the software tools provided.You are not permitted to distribute the software in any manner.You are not permitted to use the software for any commercial work withoutwritten permission of the owners of the software.1.2 Individual ReportThis project should be the work of individual students. Collaboration is accepted, butcopying and plagiarism is not. The results presented should be produced by individualsusing the tools and the report must be written by each individual student and express hispersonal view.1.3 Project Report OrganisationYour report should use the proposal/investigation labels Px.y as section headings so thatit is clear where each proposal/investigation is covered in the report. Keep the text briefand do not replicate what is already in this project description document but usereferencing where required. Do not include large amounts of MATLAB code or Tooluse descriptions in the main body of the report place this type of information in anAppendix and keep it brief.Your report must be composed using appropriate document composition tools for text,equations and plotting. Scanned handwritten material is not allowed.Your report must be submitted online by the due date as specified in LMS. Summary of Software tools A.Cantoni 2013 3 of 122 Summary of Software toolsThis project uses a set of software tools that have been developed in MATLAB andJAVA to analyse power distribution systems for multi-layered PCBs. The tools allowfor the creation of software structures that represent physical power distributionstructures. Specifically, the tools allow for the creation of rectangular power groundplane (P/G) distribution structures that can be interconnected to form arbitrarily shapedstructures. Lumped impedances can be connected to the structures at specified ports.These lumped impedances may be used to model bulk decoupling, high frequencydecoupling or the behaviour of the dc supply. Distribution structures can beinterconnected directly or can be interconnected by means of a series impedance. Theseries impedance allows for the addition of supply filtering components such as ferritesor inductors used to interconnect supply zones.Multiple supply layers in a PCB stack-up can be modelled by creating separatestructures for the different VCC/GND pairs and interconnecting them at ports tosi代写ELEC4401作业、Electrical, Electronic作业代做、代写MATLAB/JAVA编程语言作业 mulate the effect of stitching vias.Figure 1 (a) physical system (b) model using software toolsThe tools allow for the analysis of power distribution systems by predicting the supplyinput or transfer impedance at arbitrary ports over the frequency spectrum of the circuit.For example, in Figure 1(a) the input impedance of the supply planes at IC1 may be�desired. This impedance will provide an estimate of the noise induced on this supplynode in response to a switching current produced by IC1. Further, the transferimpedance between the supply nodes of IC1 and IC2 may be desired. This impedancewill give an indication of the noise voltage appearing at the supply pins of IC2 due tothe switching of IC1.Use may use either or both MATLAB PCBStructure Tools and the PSImpedanceTool to carry out your project.Details on the MATLAB PCBStructure Tools can be found in [1].Details on the PSImpedance Tool can be found in [2].Make sure you clearly understand the limitations of the tools and the assumptions madeto develop the models used by the tools.2.1 Coordinate System for Port LocationA rectangular plane pair is defined as shown in Figure 2 with threeparameters( , , , ) a b d h , the extent along the x axis, the extent along the y axis and theboard thickness and copper plane thickness respectively. Note that the lower left handcorner of a board is located at the origin of the coordinate system. The location of a portfor impedance observation and for loading of the planes is specified in terms of the x y, coordinates.As an example, two ports, p and q located at ? x y p p , ? and ? x y q q , ? with a port radius ofvr are shown Figure 2. Investigations A.Cantoni 2013 5 of 12Figure 2 Board and Port Location3 InvestigationsFor all investigations use the following electrical parameters for the power planes:0 Free space dielectric constant. 8.854188e-12 Free space permeability constant. 1.256637061e-6r Relative dielectric constant of insulatorbetween the copper planes s Conductivity of copper planes. 5.76*1e6tan G Loss tangent of copper planes. 0.002h Thickness of copper planes. 35e-6d Thickness of insulator between copperThickness h Investigations A.Cantoni 2013 6 of 123.1 The impact of the dimension of power groundplane pair on Port Impedances.P1.1 Investigate the impact of the length and width of the planes on the impedance ofa single port on a plane. Consider planes with dimensions 0.3m x 0.3m, 0.15m x 0.3mand 0.05m x 0.3m. You should choose no more than five locations for location of theport on the planes.3.2 Adding Lumped Loads to Power PlanesLumped loads, such as decoupling capacitors are added to the power ground planestructures to control impedance at ports and trans-impedance between ports.0 0.05 0.1 0.15 0.2 0.25 0.3�example0-1.m: Simple Power Ground PlaneFigure 3 Port labelling. Two observation ports with one loaded port, port 2-1. Investigations? A.Cantoni 2013 7 of 12P2.1 For the board shown in Figure 3 investigate the effect on the impedance at port 1-1and 1-2, when a capacitor with parameters C nF R L ? ? ? ? 100 30 m , 1 nH in themodel shown in Figure 4 is added at port 2-1.Figure 4 Capacitor Lumped Impedance ModelThe (x,y) locations of the ports are shown in Table 2.Port x (m) y (m)1-1 0.1 0.11-2 0.25 0.052-1 0.2 0.15Table 2P2.2 For the board shown in Figure 3 investigate the effect on the impedance at port 1-1and 1-2, if the capacitor has parameters C nF R L ? ? ? ? 100 30 m , 5 nH in themodel shown in Figure 4 .3.3 Stitching Power Planes StructuresTwo rectangular structures can be combined to form a lager structure. This is achievedby defining a string of matching ports along the edges of the P/G structures and thenjoining the ports together. Investigations�Figure 5 Power ground plane with two ports that is not segmented0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45�Figure 6 Two supply zones joined using large ports Investigations A.Cantoni 2013 9 of 12P3.1 For the board shown in Figure 6 investigate the effect on the impedance at theobservation ports due to stitching of two planes to approximate the single plane.The (x,y) locations of the ports are shown in Table 3.Port x (m) y (m)1 0.1 0.12 0.35 0.05Table 33.4 Modelling Complete Distribution SystemsFigure 7 shows an example of a complete power distribution system. The systemincludes an L-shaped power zone that is connected to a square power zone by means ofa bridge. The location of the power supply (PS), bulk decoupling (BD) and highfrequency decoupling (HFD) are illustrated. A ferrite bridge (FB) is used to connect thetwo power zones together as shown. The sizes of the three boards can be determinedfrom dimension x,y dimension shown in Figure 7.Figure 7 Example of a complete Distribution System InvestigationsA.Cantoni 2013 10 of 12The lumped impedance models for the elements used on the boards are as follows:Figure 8 Capacitor Lumped Impedance ModelHFD - High Frequency Decoupling Capacitor Lumped Impedance ModelC nF L nH R m �BD -Bulk Decoupling Capacitor Lumped Impedance ModelC F L nH R m �Figure 9 Power Supply Lumped Impedance ModelPS- Power Supply Lumped Impedance ModelL H R m�FB-Ferrite Bead Lumped Impedance ModelFigure 10 Ferrite Bead Lumped Impedance Model0.68 1.26 410 800 R C pF L nH R S �Investigations A.Cantoni 2013 11 of 12P4.1 Investigate the impedance at port 1 and the transfer impedance between port 1-1and port 1-2 under the following conditions:a) PS - only power supply and planes with FB a short circuit.b) PS and BD - power supply, bulk decoupling and planes with FB a short circuit.c) PS, BD and HFD - power supply, bulk decoupling, high frequency decouplingand planes with FB a short circuit.d) PS, BD, HFD, and FB - power supply, bulk decoupling, high frequencydecoupling, FB and planes.The (x,y) locations of the ports on Board 1 are shown in Table 4. Note that location of aport is relative to the origin of each power plane system, i.e. relative to the lower lefthand corner of each rectangular plane.Port x (m) y (m)P1 0.07 0.22PS 0.03 0.02BD 0.06 0.05FB 0.195 0.05HFD1 0.04 0.20HFD2 0.04 0.04Table 4The (x,y) locations of the ports on Board 2 are shown in Table 5.Port x (m) y (m)P2 0.05 0.03FB 0.005 0.05HFD4 0.02 0.02Table 5 References A.Cantoni 2013 12 of 12The (x,y) locations of the ports on Board 3 are shown in Table 6.Port x (m) y (m)HFD3 0.08 0.13Table 64 References [1] Joe Trinkle, Matthew Wood and Antonio Cantoni, MATLAB Tools for PowerGround Plane Analysis- ELEC4401, V1.3, on LMS at UWA.[2] Antonio Cantoni, A Tool for Power Distribution Analysis in Electronic CircuitsComprised of Multiple Interconnected Structures Including Power Planes, V1.0,ELEC4401, LMS at UWA.[3] “Impedance Expressions for Unloaded and Loaded Power Ground Planes”, Trinkle,J.; Cantoni, A.; IEEE Transactions on Electromagnetic Compatibility, Volume 50, Issue2, May 2008 Page(s):390 – 398.[4] “Comparison of methods for calculating the loading effect of capacitors on powerground planes”, Trinkle, J.; Cantoni, A.; EMC-Zurich 2006. 17th International ZurichSymposium on Electromagnetic Compatibility, 2006, Feb. 27 2006-March 3 2006Page(s):97 – 99. 转自：http://www.7daixie.com/2019050956562530.html
