BFF1303: ELECTRICAL / ELECTRONICS ENGINEERING. Direct Current Circuits : Methods of Analysis
|
|
|
- Garry Caldwell
- 6 years ago
- Views:
Transcription
1 BFF1303: ELECTRICAL / ELECTRONICS ENGINEERING Drect Current Crcuts : Methods of Analyss Ismal Mohd Kharuddn, Zulkfl Md Yusof Faculty of Manufacturng Engneerng Unerst Malaysa Pahang
2 Drect Current Crcut (DC)- Methods of Analyss BFF1303 ELECTRICAL/ELECTRONICS ENGINEERING Contents: Outcomes Nodal Analyss Mesh Analyss Faculty of Manufacturng Unerst Malaysa Pahang Kampus Pekan, Pahang Darul Makmur Tel: Fax: BFF1303 Electrcal/Electronc Engneerng
3 Compute the soluton of crcuts contanng lnear resstors and ndependent and dependent sources by usng node analyss Compute the soluton of crcuts contanng lnear resstors and ndependent and dependent sources by usng mesh analyss BFF1303 Electrcal/Electronc Engneerng 3 3
4 There s another method to sole for currents and oltages. Easer More methodcal Stll based on Ohm s Law, KVL and KCL The methods are the nodal and mesh analyss. Nodal analyss s based on the KCL. Mesh analyss s based on the KVL. BFF1303 Electrcal/Electronc Engneerng 4 4
5 WITHOUT VOLTAGE SOURCE Analyze the crcut usng node oltages as the crcut arables. The node oltages s chosen nstead of the elements oltages. To smplfy matters, t s frst assumed that the crcuts do not contan oltage sources. BFF1303 BFF1303 Electrcal/Electronc Engneerng Engneerng
6 Steps to determne node oltages:. Select a node as a reference node Ths reference node also called the ground, hae zero potental. BFF1303 Electrcal/Electronc Engneerng 6 6
7 . The other node (nonreference nodes) wll be assgned as 1,, BFF1303 Electrcal/Electronc Engneerng 7 7
8 . Apply KCL to each of the nonreference node. At node 1 : I1 I 1 At node : I 3 BFF1303 Electrcal/Electronc Engneerng 8 8
9 . Apply the Ohm s law to express the unknown current 1, and 3 n terms of node oltages. hgher R lower Note: Current flows from a hgher potental (poste termnal) to a lower potental (negate termnal) n resstor. BFF1303 Electrcal/Electronc Engneerng 9 9
10 R1 R 3 R 3 0 I 0 0 I I R1 R R3 R BFF1303 Electrcal/Electronc Engneerng 10 10
11 Obtan the node oltages for the followng crcut BFF1303 Electrcal/Electronc Engneerng 11 11
12 Soluton. Select a node as a reference node. The other node (nonreference nodes) wll be assgned as 1,. Apply KCL to each of the nonreference node. At node 1 : At node : BFF1303 Electrcal/Electronc Engneerng 1 1
13 . Express the currents n term of node oltages Rearrange the equaton BFF1303 Electrcal/Electronc Engneerng 13 13
14 Then n matrx form By usng Cramer s Rule V V 1 BFF1303 Electrcal/Electronc Engneerng 14 14
15 In the gen crcut, obtan the node oltages Answer 6V 1 4V BFF1303 Electrcal/Electronc Engneerng 15 15
16 For the gen crcut, determne the oltages at the nodes Answer 4.8V.4V.4V 1 3 BFF1303 Electrcal/Electronc Engneerng 16 16
17 . Select a node as a reference node Ths reference node also called the ground, hae zero potental.. Reew of steps for nodal analyss wthout oltage sources: The other node (nonreference nodes) wll be assgned as 1,,. Apply KCL to each of the nonreference node.. Apply the Ohm s law to express the unknown current 1, and 3 n terms of node oltages. hgher R lower BFF1303 Electrcal/Electronc Engneerng 17 17
18 WITH VOLTAGE SOURCE Case 1 If a oltage source s connected between the reference node and a nonreference node. The oltage at the nonreference node equal to the oltage source. 1 10V BFF1303 Electrcal/Electronc Engneerng 18 18
19 Case If the oltage source (dependent or ndependent) s connected between two nonreference nodes, the two nonreference nodes form a generalzed node or supernode. BFF1303 Electrcal/Electronc Engneerng 19 19
20 A supernode s formed by enclosng a (dependent or ndependent) oltage source connected between two nonreference nodes and any elements connected n parallel wth t. supernode BFF1303 Electrcal/Electronc Engneerng 0 0
21 A supernode requres the applcatons of both KCL and KVL. A supernode has no oltage of ts own. A supernode can be assumed as one bg node. BFF1303 Electrcal/Electronc Engneerng 1 1
22 . Select a node as a reference node Ths reference node also called the ground, hae zero potental.. Steps for nodal analyss wth oltage source: Assgn the other nodes (nonreference nodes) as 1,, and dentfy the supernode.. Apply KCL to each of the nonreference node and the supernode. Note: For supernode, apply the KCL around the supernode. Assume the supernode as one bg node BFF1303 Electrcal/Electronc Engneerng
23 . Express the currents n term of node oltages. hgher R lower. Apply KVL around the supernode. BFF1303 Electrcal/Electronc Engneerng 3 3
24 Obtan the node oltages for the followng crcut BFF1303 Electrcal/Electronc Engneerng 4 4
25 Soluton. Select a node as a reference node. Assgn the other node (nonreference nodes) as 1, and dentfy the supernode. Apply KCL to each of the nonreference node and the supernode. At node A At 70 7A At supernode BFF1303 Electrcal/Electronc Engneerng 5 5
26 . Express the currents n term of node oltages Rearrange the equaton Apply KVL around the supernode BFF1303 Electrcal/Electronc Engneerng 6 6
27 Then n matrx form By usng Cramer s Rule V V 3 1 BFF1303 Electrcal/Electronc Engneerng 7 7
28 Fnd and for the gen crcut Answer 400mV.8A BFF1303 Electrcal/Electronc Engneerng 8 8
29 Obtan the node oltages for the followng crcut BFF1303 Electrcal/Electronc Engneerng 9 9
30 Soluton. Select a node as a reference node.. Assgn the other node (nonreference nodes) as 1, and dentfy the supernode Apply KCL to each of the nonreference node and the supernode. At supernode 1-: At supernode 3-4: BFF1303 Electrcal/Electronc Engneerng
31 . Express the currents n term of node oltages BFF1303 Electrcal/Electronc Engneerng 31 31
32 . Apply KVL around the supernode. At loop At loop 3 0 and 3 x 4 x x At loop 3 x and x BFF1303 Electrcal/Electronc Engneerng 3 3
33 From loop 1 10 and subs ths Eq. nto and Then n matrx form BFF1303 Electrcal/Electronc Engneerng 33 33
34 By usng Cramer s Rule V BFF1303 Electrcal/Electronc Engneerng 34 34
35 V V V BFF1303 Electrcal/Electronc Engneerng 35 35
36 By usng nodal analyss obtan the node oltages for the followng crcut Answer V V V 1 3 BFF1303 Electrcal/Electronc Engneerng 36 36
37 WITHOUT CURRENT SOURCE Mesh analyss use the mesh currents as the crcut arables. Recall: nodal analyss use the node oltages as the crcut arables. Recall: a loop s a closed path wth no node passed more than once. A mesh s a loop that does not contan any other loop wthn t. BFF1303 Electrcal/Electronc Engneerng 37 37
38 Recall: nodal analyss apples KCL to fnd unknown oltages. Mesh analyss apples KVL to fnd unknown currents. abefa & bcdeb are meshes. abcdefa s not a mesh. BFF1303 Electrcal/Electronc Engneerng 38 38
39 The current through a mesh s known as mesh current. Frst, the analyss wll concentrate on crcut wth no current source. Steps to determne mesh currents:. Assgn mesh currents 1,,, n to the n meshes. The flow of the mesh. currents s conentonally assume n clockwse drecton. Determne the polarty & the drecton of current flow through each element.. Apply KCL for each node n term of mesh current.. Apply KVL to each of the n meshes. Use Ohm s law to express the oltages n terms of the mesh currents. BFF1303 Electrcal/Electronc Engneerng 39 39
40 . Assgn the mesh currents: 1 and. Determne the polarty & the drecton of current. Note: let the drecton of current at the outsde branch = drecton of the mesh current BFF1303 Electrcal/Electronc Engneerng 40 40
41 . Apply KCL. I I I 3 1 snce I I 1 1 I 3 1 Note: I for branch current, for mesh current. Apply KVL to each mesh Mesh BFF1303 Electrcal/Electronc Engneerng 41 41
42 Mesh Then n matrx form By usng Cramer s Rule A A 3 BFF1303 Electrcal/Electronc Engneerng 4 4
43 Calculate the mesh current 1 and for the followng crcut Answer.5A 0A 1 BFF1303 Electrcal/Electronc Engneerng 43 43
44 Use mesh analyss to fnd I o for the followng crcut BFF1303 Electrcal/Electronc Engneerng 44 44
45 . Assgn the mesh currents: 1 and.. Determne the polarty & the drecton of current.. Apply KCL. I o 1. Apply KVL to each mesh. Mesh BFF1303 Electrcal/Electronc Engneerng 45 45
46 Mesh Mesh Then n matrx form BFF1303 Electrcal/Electronc Engneerng 46 46
47 By usng Cramer s Rule A A Thus, I A o A 19 3 BFF1303 Electrcal/Electronc Engneerng 47 47
48 By usng mesh analyss fnd I o n the followng crcut Answer I 4A o BFF1303 Electrcal/Electronc Engneerng 48 48
49 WITH CURRENT SOURCE Case 1 When the current source exst only n one mesh Set the alue of = 5 A and wrte a mesh equaton for the other mesh n the usual way A BFF1303 Electrcal/Electronc Engneerng 49 49
50 Case When the current source exst between two meshes. need to create a supermesh by excludng the current source and any elements connected n seres wth t. BFF1303 Electrcal/Electronc Engneerng 50 50
51 NOTE: A supermesh results when two meshes hae a (dependent or ndependent) current source n common. Applyng KVL to the supermesh BFF1303 Electrcal/Electronc Engneerng 51 51
52 Applyng KCL to the crcut 1 6 Then sole the Eq. (1) and () 1 3.A.8A BFF1303 Electrcal/Electronc Engneerng 5 5
53 The current source n the supermesh prodes the constrant equaton necessary to sole for the mesh currents. A supermesh has no current of ts own. A supermesh requres the applcaton of both KVL and KCL. BFF1303 Electrcal/Electronc Engneerng 53 53
54 By usng mesh analyss fnd 1, and 3 n the followng crcut BFF1303 Electrcal/Electronc Engneerng 54 54
55 . Assgn the mesh currents: 1, and 3... Determne the polarty & the drecton of current. Applyng KCL to supermesh Notce that meshes (1) and () form a supermesh snce they hae ndependent current source n common BFF1303 Electrcal/Electronc Engneerng 55 55
56 . Apply KVL to supermesh Applyng KVL n Mesh Then n matrx form BFF1303 Electrcal/Electronc Engneerng 56 56
57 By usng Cramer s Rule A A A 76 BFF1303 Electrcal/Electronc Engneerng 57 57
58 By usng mesh analyss fnd 1, to 4 n the followng crcut 7.5 A.5 A 3.93A.143A Answer 1 3 BFF1303 Electrcal/Electronc Engneerng 58 58
Circuit Analysis I (ENGR 2405) Chapter 3 Method of Analysis Nodal(KCL) and Mesh(KVL)
Crcut Analyss I (ENG 405) Chapter Method of Analyss Nodal(KCL) and Mesh(KVL) Nodal Analyss If nstead of focusng on the oltages of the crcut elements, one looks at the oltages at the nodes of the crcut,
RESISTIVE CIRCUITS MULTI NODE/LOOP CIRCUIT ANALYSIS
RESSTE CRCUTS MULT NODE/LOOP CRCUT ANALYSS DEFNNG THE REFERENCE NODE S TAL 4 THESTATEMENT 4 S MEANNGLES UNTL THE REFERENCE PONT S DEFNED BY CONENTON THE GROUND SYMBOL SPECFES THE REFERENCE PONT. ALL NODE
LOOP ANALYSIS. determine all currents and Voltages in IT IS DUAL TO NODE ANALYSIS - IT FIRST DETERMINES ALL CURRENTS IN A CIRCUIT
LOOP ANALYSS The second systematic technique to determine all currents and oltages in a circuit T S DUAL TO NODE ANALYSS - T FRST DETERMNES ALL CURRENTS N A CRCUT AND THEN T USES OHM S LAW TO COMPUTE NECESSARY
ELECTRICAL CIRCUIT AND MACHINE ENT 249/3. Methods of Analysis
ELECTRICAL CIRCUIT AND MACHINE ENT 49/ Methods of Analysis Introduction Nodal Analysis KCL & Ohm s Law Nodal Analysis with Voltage Sources (Supernode) KCL, Ohm s & KVL Law Mesh Analysis - KVL & Ohm s Law
LOOP ANALYSIS. The second systematic technique to determine all currents and voltages in a circuit
LOOP ANALYSS The second systematic technique to determine all currents and voltages in a circuit T S DUAL TO NODE ANALYSS - T FRST DETERMNES ALL CURRENTS N A CRCUT AND THEN T USES OHM S LAW TO COMPUTE
Chapter 3 Methods of Analysis: 2) Mesh Analysis
Chapter 3 Methods of Analysis: 2) Mesh Analysis Dr. Waleed Al-Hanafy waleed alhanafy@yahoo.com Faculty of Electronic Engineering, Menoufia Univ., Egypt MSA Summer Course: Electric Circuit Analysis I (ESE
i v v 6 i 2 i 3 v + (1) (2) (3) (4) (5) Substituting (4) and (5) into (3) (6) = 2 (7) (5) and (6) (8) (4) and (6) ˆ
5V 6 v 6 î v v Ω î Ω v v 8Ω V î v 5 6Ω 5 Mesh : 6ˆ ˆ = Mesh : ˆ 8ˆ = Mesh : ˆ ˆ ˆ 8 0 = 5 Solvng ˆ ˆ ˆ from () = Solvng ˆ ˆ ˆ from () = 7 7 Substtutng () and (5) nto () (5) and (6) 9 ˆ = A 8 ˆ = A 0 ()
Method of analysis. Bởi: Sy Hien Dinh
Method of analysis Bởi: Sy Hien Dinh INTRODUCTION Having understood the fundamental laws of circuit theory (Ohm s law and Kirchhhoff s laws), we are now prepared to apply to develop two powerful techniques
Mesh and Node Equations: Circuits Containing Dependent Sources
Mesh nd Node Equtons: Crcuts Contnng Dependent Sources Introducton The crcuts n ths set of problems re smll crcuts tht contn sngle dependent source. These crcuts cn be nlyzed usng mesh equton or usng node
Reading. 14. Subdivision curves. Recommended:
eadng ecommended: Stollntz, Deose, and Salesn. Wavelets for Computer Graphcs: heory and Applcatons, 996, secton 6.-6., A.5. 4. Subdvson curves Note: there s an error n Stollntz, et al., secton A.5. Equaton
Parallelism for Nested Loops with Non-uniform and Flow Dependences
Parallelsm for Nested Loops wth Non-unform and Flow Dependences Sam-Jn Jeong Dept. of Informaton & Communcaton Engneerng, Cheonan Unversty, 5, Anseo-dong, Cheonan, Chungnam, 330-80, Korea. seong@cheonan.ac.kr
Solitary and Traveling Wave Solutions to a Model. of Long Range Diffusion Involving Flux with. Stability Analysis
Internatonal Mathematcal Forum, Vol. 6,, no. 7, 8 Soltary and Travelng Wave Solutons to a Model of Long Range ffuson Involvng Flux wth Stablty Analyss Manar A. Al-Qudah Math epartment, Rabgh Faculty of
2x x l. Module 3: Element Properties Lecture 4: Lagrange and Serendipity Elements
Module 3: Element Propertes Lecture : Lagrange and Serendpty Elements 5 In last lecture note, the nterpolaton functons are derved on the bass of assumed polynomal from Pascal s trangle for the fled varable.
Loop Transformations, Dependences, and Parallelization
Loop Transformatons, Dependences, and Parallelzaton Announcements Mdterm s Frday from 3-4:15 n ths room Today Semester long project Data dependence recap Parallelsm and storage tradeoff Scalar expanson
TN348: Openlab Module - Colocalization
TN348: Openlab Module - Colocalzaton Topc The Colocalzaton module provdes the faclty to vsualze and quantfy colocalzaton between pars of mages. The Colocalzaton wndow contans a prevew of the two mages
S1 Note. Basis functions.
S1 Note. Bass functons. Contents Types of bass functons...1 The Fourer bass...2 B-splne bass...3 Power and type I error rates wth dfferent numbers of bass functons...4 Table S1. Smulaton results of type
Chapter 6 Programmng the fnte element method Inow turn to the man subject of ths book: The mplementaton of the fnte element algorthm n computer programs. In order to make my dscusson as straghtforward
Proper Choice of Data Used for the Estimation of Datum Transformation Parameters
Proper Choce of Data Used for the Estmaton of Datum Transformaton Parameters Hakan S. KUTOGLU, Turkey Key words: Coordnate systems; transformaton; estmaton, relablty. SUMMARY Advances n technologes and
Programming in Fortran 90 : 2017/2018
Programmng n Fortran 90 : 2017/2018 Programmng n Fortran 90 : 2017/2018 Exercse 1 : Evaluaton of functon dependng on nput Wrte a program who evaluate the functon f (x,y) for any two user specfed values
y and the total sum of
Lnear regresson Testng for non-lnearty In analytcal chemstry, lnear regresson s commonly used n the constructon of calbraton functons requred for analytcal technques such as gas chromatography, atomc absorpton
LU Decomposition Method Jamie Trahan, Autar Kaw, Kevin Martin University of South Florida United States of America
nbm_sle_sm_ludecomp.nb 1 LU Decomposton Method Jame Trahan, Autar Kaw, Kevn Martn Unverst of South Florda Unted States of Amerca aw@eng.usf.edu nbm_sle_sm_ludecomp.nb 2 Introducton When solvng multple
The Greedy Method. Outline and Reading. Change Money Problem. Greedy Algorithms. Applications of the Greedy Strategy. The Greedy Method Technique
//00 :0 AM Outlne and Readng The Greedy Method The Greedy Method Technque (secton.) Fractonal Knapsack Problem (secton..) Task Schedulng (secton..) Mnmum Spannng Trees (secton.) Change Money Problem Greedy
SLAM Summer School 2006 Practical 2: SLAM using Monocular Vision
SLAM Summer School 2006 Practcal 2: SLAM usng Monocular Vson Javer Cvera, Unversty of Zaragoza Andrew J. Davson, Imperal College London J.M.M Montel, Unversty of Zaragoza. josemar@unzar.es, jcvera@unzar.es,
An Application of the Dulmage-Mendelsohn Decomposition to Sparse Null Space Bases of Full Row Rank Matrices
Internatonal Mathematcal Forum, Vol 7, 2012, no 52, 2549-2554 An Applcaton of the Dulmage-Mendelsohn Decomposton to Sparse Null Space Bases of Full Row Rank Matrces Mostafa Khorramzadeh Department of Mathematcal
6.854 Advanced Algorithms Petar Maymounkov Problem Set 11 (November 23, 2005) With: Benjamin Rossman, Oren Weimann, and Pouya Kheradpour
6.854 Advanced Algorthms Petar Maymounkov Problem Set 11 (November 23, 2005) Wth: Benjamn Rossman, Oren Wemann, and Pouya Kheradpour Problem 1. We reduce vertex cover to MAX-SAT wth weghts, such that the
Compiler Design. Spring Register Allocation. Sample Exercises and Solutions. Prof. Pedro C. Diniz
Compler Desgn Sprng 2014 Regster Allocaton Sample Exercses and Solutons Prof. Pedro C. Dnz USC / Informaton Scences Insttute 4676 Admralty Way, Sute 1001 Marna del Rey, Calforna 90292 pedro@s.edu Regster
NODAL AND LOOP ANALYSIS TECHNIQUES. Develop systematic techniques to determine all the voltages and currents in a circuit NODE ANALYSIS
NODAL AND LOOP ANALYSS TECHNQUES LEANNG GOALS NODAL ANALYSS LOOP ANALYSS Develop systematic techniques to determine all the voltages and currents in a circuit NODE ANALYSS One of the systematic ways to
An Optimal Algorithm for Prufer Codes *
J. Software Engneerng & Applcatons, 2009, 2: 111-115 do:10.4236/jsea.2009.22016 Publshed Onlne July 2009 (www.scrp.org/journal/jsea) An Optmal Algorthm for Prufer Codes * Xaodong Wang 1, 2, Le Wang 3,
Complex Numbers. Now we also saw that if a and b were both positive then ab = a b. For a second let s forget that restriction and do the following.
Complex Numbers The last topc n ths secton s not really related to most of what we ve done n ths chapter, although t s somewhat related to the radcals secton as we wll see. We also won t need the materal
Module 6: FEM for Plates and Shells Lecture 6: Finite Element Analysis of Shell
Module 6: FEM for Plates and Shells Lecture 6: Fnte Element Analyss of Shell 3 6.6. Introducton A shell s a curved surface, whch by vrtue of ther shape can wthstand both membrane and bendng forces. A shell
1.4 Circuit Theorems
. Crcut Theorems. v,? (C)V, 5 6 (D) V, 6 5. A smple equvlent crcut of the termnl 6 v, network shown n fg. P.. s Fg. P... (A)V, (B)V, v (C)V,5 (D)V,5 Fg. P....,? 5 V, v (A) (B) Fg. P... (A)A, 0 (B) 0 A,
The Codesign Challenge
ECE 4530 Codesgn Challenge Fall 2007 Hardware/Software Codesgn The Codesgn Challenge Objectves In the codesgn challenge, your task s to accelerate a gven software reference mplementaton as fast as possble.
Radial Basis Functions
Radal Bass Functons Mesh Reconstructon Input: pont cloud Output: water-tght manfold mesh Explct Connectvty estmaton Implct Sgned dstance functon estmaton Image from: Reconstructon and Representaton of
The mesh-current method
The mesh-current method Equivalent resistance Voltage / current dividers Source transformations Node voltages Mesh currents Superposition Mirror image of the node-voltage method. Define mesh currents flowing
AMath 483/583 Lecture 21 May 13, Notes: Notes: Jacobi iteration. Notes: Jacobi with OpenMP coarse grain
AMath 483/583 Lecture 21 May 13, 2011 Today: OpenMP and MPI versons of Jacob teraton Gauss-Sedel and SOR teratve methods Next week: More MPI Debuggng and totalvew GPU computng Read: Class notes and references
USING GRAPHING SKILLS
Name: BOLOGY: Date: _ Class: USNG GRAPHNG SKLLS NTRODUCTON: Recorded data can be plotted on a graph. A graph s a pctoral representaton of nformaton recorded n a data table. t s used to show a relatonshp
Solving two-person zero-sum game by Matlab
Appled Mechancs and Materals Onlne: 2011-02-02 ISSN: 1662-7482, Vols. 50-51, pp 262-265 do:10.4028/www.scentfc.net/amm.50-51.262 2011 Trans Tech Publcatons, Swtzerland Solvng two-person zero-sum game by
APPLICATION OF MULTIVARIATE LOSS FUNCTION FOR ASSESSMENT OF THE QUALITY OF TECHNOLOGICAL PROCESS MANAGEMENT
3. - 5. 5., Brno, Czech Republc, EU APPLICATION OF MULTIVARIATE LOSS FUNCTION FOR ASSESSMENT OF THE QUALITY OF TECHNOLOGICAL PROCESS MANAGEMENT Abstract Josef TOŠENOVSKÝ ) Lenka MONSPORTOVÁ ) Flp TOŠENOVSKÝ
Loop Transformations for Parallelism & Locality. Review. Scalar Expansion. Scalar Expansion: Motivation
Loop Transformatons for Parallelsm & Localty Last week Data dependences and loops Loop transformatons Parallelzaton Loop nterchange Today Scalar expanson for removng false dependences Loop nterchange Loop
NUMERICAL SOLVING OPTIMAL CONTROL PROBLEMS BY THE METHOD OF VARIATIONS
ARPN Journal of Engneerng and Appled Scences 006-017 Asan Research Publshng Network (ARPN). All rghts reserved. NUMERICAL SOLVING OPTIMAL CONTROL PROBLEMS BY THE METHOD OF VARIATIONS Igor Grgoryev, Svetlana
CS 534: Computer Vision Model Fitting
CS 534: Computer Vson Model Fttng Sprng 004 Ahmed Elgammal Dept of Computer Scence CS 534 Model Fttng - 1 Outlnes Model fttng s mportant Least-squares fttng Maxmum lkelhood estmaton MAP estmaton Robust
Loop Permutation. Loop Transformations for Parallelism & Locality. Legality of Loop Interchange. Loop Interchange (cont)
Loop Transformatons for Parallelsm & Localty Prevously Data dependences and loops Loop transformatons Parallelzaton Loop nterchange Today Loop nterchange Loop transformatons and transformaton frameworks
Analysis of Continuous Beams in General
Analyss of Contnuous Beams n General Contnuous beams consdered here are prsmatc, rgdly connected to each beam segment and supported at varous ponts along the beam. onts are selected at ponts of support,
Face Recognition University at Buffalo CSE666 Lecture Slides Resources:
Face Recognton Unversty at Buffalo CSE666 Lecture Sldes Resources: http://www.face-rec.org/algorthms/ Overvew of face recognton algorthms Correlaton - Pxel based correspondence between two face mages Structural
CHARUTAR VIDYA MANDAL S SEMCOM Vallabh Vidyanagar
CHARUTAR VIDYA MANDAL S SEMCOM Vallabh Vdyanagar Faculty Name: Am D. Trved Class: SYBCA Subject: US03CBCA03 (Advanced Data & Fle Structure) *UNIT 1 (ARRAYS AND TREES) **INTRODUCTION TO ARRAYS If we want
ROBOT KINEMATICS. ME Robotics ME Robotics
ROBOT KINEMATICS Purpose: The purpose of ths chapter s to ntroduce you to robot knematcs, and the concepts related to both open and closed knematcs chans. Forward knematcs s dstngushed from nverse knematcs.
Sum of Linear and Fractional Multiobjective Programming Problem under Fuzzy Rules Constraints
Australan Journal of Basc and Appled Scences, 2(4): 1204-1208, 2008 ISSN 1991-8178 Sum of Lnear and Fractonal Multobjectve Programmng Problem under Fuzzy Rules Constrants 1 2 Sanjay Jan and Kalash Lachhwan
Preconditioning Parallel Sparse Iterative Solvers for Circuit Simulation
Precondtonng Parallel Sparse Iteratve Solvers for Crcut Smulaton A. Basermann, U. Jaekel, and K. Hachya 1 Introducton One mportant mathematcal problem n smulaton of large electrcal crcuts s the soluton
Course Introduction. Algorithm 8/31/2017. COSC 320 Advanced Data Structures and Algorithms. COSC 320 Advanced Data Structures and Algorithms
Course Introducton Course Topcs Exams, abs, Proects A quc loo at a few algorthms 1 Advanced Data Structures and Algorthms Descrpton: We are gong to dscuss algorthm complexty analyss, algorthm desgn technques
Problem Set 3 Solutions
Introducton to Algorthms October 4, 2002 Massachusetts Insttute of Technology 6046J/18410J Professors Erk Demane and Shaf Goldwasser Handout 14 Problem Set 3 Solutons (Exercses were not to be turned n,
Introduction to Geometrical Optics - a 2D ray tracing Excel model for spherical mirrors - Part 2
Introducton to Geometrcal Optcs - a D ra tracng Ecel model for sphercal mrrors - Part b George ungu - Ths s a tutoral eplanng the creaton of an eact D ra tracng model for both sphercal concave and sphercal
MIXED INTEGER-DISCRETE-CONTINUOUS OPTIMIZATION BY DIFFERENTIAL EVOLUTION Part 1: the optimization method
MIED INTEGER-DISCRETE-CONTINUOUS OPTIMIZATION BY DIFFERENTIAL EVOLUTION Part : the optmzaton method Joun Lampnen Unversty of Vaasa Department of Informaton Technology and Producton Economcs P. O. Box 700
Support Vector Machines
/9/207 MIST.6060 Busness Intellgence and Data Mnng What are Support Vector Machnes? Support Vector Machnes Support Vector Machnes (SVMs) are supervsed learnng technques that analyze data and recognze patterns.
Sequential search. Building Java Programs Chapter 13. Sequential search. Sequential search
Sequental search Buldng Java Programs Chapter 13 Searchng and Sortng sequental search: Locates a target value n an array/lst by examnng each element from start to fnsh. How many elements wll t need to
UNIT 2 : INEQUALITIES AND CONVEX SETS
UNT 2 : NEQUALTES AND CONVEX SETS ' Structure 2. ntroducton Objectves, nequaltes and ther Graphs Convex Sets and ther Geometry Noton of Convex Sets Extreme Ponts of Convex Set Hyper Planes and Half Spaces
Problem Definitions and Evaluation Criteria for Computational Expensive Optimization
Problem efntons and Evaluaton Crtera for Computatonal Expensve Optmzaton B. Lu 1, Q. Chen and Q. Zhang 3, J. J. Lang 4, P. N. Suganthan, B. Y. Qu 6 1 epartment of Computng, Glyndwr Unversty, UK Faclty
5 The Primal-Dual Method
5 The Prmal-Dual Method Orgnally desgned as a method for solvng lnear programs, where t reduces weghted optmzaton problems to smpler combnatoral ones, the prmal-dual method (PDM) has receved much attenton
Priority queues and heaps Professors Clark F. Olson and Carol Zander
Prorty queues and eaps Professors Clark F. Olson and Carol Zander Prorty queues A common abstract data type (ADT) n computer scence s te prorty queue. As you mgt expect from te name, eac tem n te prorty
SENSITIVITY ANALYSIS IN LINEAR PROGRAMMING USING A CALCULATOR
SENSITIVITY ANALYSIS IN LINEAR PROGRAMMING USING A CALCULATOR Judth Aronow Rchard Jarvnen Independent Consultant Dept of Math/Stat 559 Frost Wnona State Unversty Beaumont, TX 7776 Wnona, MN 55987 aronowju@hal.lamar.edu
Routability Driven Modification Method of Monotonic Via Assignment for 2-layer Ball Grid Array Packages
Routablty Drven Modfcaton Method of Monotonc Va Assgnment for 2-layer Ball Grd Array Pacages Yoch Tomoa Atsush Taahash Department of Communcatons and Integrated Systems, Toyo Insttute of Technology 2 12
A fault tree analysis strategy using binary decision diagrams
Loughborough Unversty Insttutonal Repostory A fault tree analyss strategy usng bnary decson dagrams Ths tem was submtted to Loughborough Unversty's Insttutonal Repostory by the/an author. Addtonal Informaton:
Positive Semi-definite Programming Localization in Wireless Sensor Networks
Postve Sem-defnte Programmng Localzaton n Wreless Sensor etworks Shengdong Xe 1,, Jn Wang, Aqun Hu 1, Yunl Gu, Jang Xu, 1 School of Informaton Scence and Engneerng, Southeast Unversty, 10096, anjng Computer
Lecture 13: High-dimensional Images
Lec : Hgh-dmensonal Images Grayscale Images Lecture : Hgh-dmensonal Images Math 90 Prof. Todd Wttman The Ctadel A grayscale mage s an nteger-valued D matrx. An 8-bt mage takes on values between 0 and 55.
the nber of vertces n the graph. spannng tree T beng part of a par of maxmally dstant trees s called extremal. Extremal trees are useful n the mxed an
On Central Spannng Trees of a Graph S. Bezrukov Unverstat-GH Paderborn FB Mathematk/Informatk Furstenallee 11 D{33102 Paderborn F. Kaderal, W. Poguntke FernUnverstat Hagen LG Kommunkatonssysteme Bergscher
Routing on Switch Matrix Multi-FPGA Systems
Routng on Swtch Matrx Mult-FPGA Systems Abdel Enou and N. Ranganathan Center for Mcroelectroncs Research Department of Computer Scence and Engneerng Unversty of South Florda Tampa, FL 33620 Abstract In
Categories and Subject Descriptors B.7.2 [Integrated Circuits]: Design Aids Verification. General Terms Algorithms
![Categories and Subject Descriptors B.7.2 [Integrated Circuits]: Design Aids Verification. General Terms Algorithms](/thumbs/79/79370883.jpg "Categories and Subject Descriptors B.7.2 [Integrated Circuits]: Design Aids Verification. General Terms Algorithms")
3. Fndng Determnstc Soluton from Underdetermned Equaton: Large-Scale Performance Modelng by Least Angle Regresson Xn L ECE Department, Carnege Mellon Unversty Forbs Avenue, Pttsburgh, PA 3 xnl@ece.cmu.edu
AP PHYSICS B 2008 SCORING GUIDELINES
AP PHYSICS B 2008 SCORING GUIDELINES General Notes About 2008 AP Physcs Scorng Gudelnes 1. The solutons contan the most common method of solvng the free-response questons and the allocaton of ponts for
NAG Fortran Library Chapter Introduction. G10 Smoothing in Statistics
Introducton G10 NAG Fortran Lbrary Chapter Introducton G10 Smoothng n Statstcs Contents 1 Scope of the Chapter... 2 2 Background to the Problems... 2 2.1 Smoothng Methods... 2 2.2 Smoothng Splnes and Regresson
Analysis of 3D Cracks in an Arbitrary Geometry with Weld Residual Stress
Analyss of 3D Cracks n an Arbtrary Geometry wth Weld Resdual Stress Greg Thorwald, Ph.D. Ted L. Anderson, Ph.D. Structural Relablty Technology, Boulder, CO Abstract Materals contanng flaws lke nclusons
Solutions to Programming Assignment Five Interpolation and Numerical Differentiation
College of Engneerng and Coputer Scence Mechancal Engneerng Departent Mechancal Engneerng 309 Nuercal Analyss of Engneerng Systes Sprng 04 Nuber: 537 Instructor: Larry Caretto Solutons to Prograng Assgnent
Classification / Regression Support Vector Machines
Classfcaton / Regresson Support Vector Machnes Jeff Howbert Introducton to Machne Learnng Wnter 04 Topcs SVM classfers for lnearly separable classes SVM classfers for non-lnearly separable classes SVM
Machine Learning. Support Vector Machines. (contains material adapted from talks by Constantin F. Aliferis & Ioannis Tsamardinos, and Martin Law)
Machne Learnng Support Vector Machnes (contans materal adapted from talks by Constantn F. Alfers & Ioanns Tsamardnos, and Martn Law) Bryan Pardo, Machne Learnng: EECS 349 Fall 2014 Support Vector Machnes
Module Management Tool in Software Development Organizations
Journal of Computer Scence (5): 8-, 7 ISSN 59-66 7 Scence Publcatons Management Tool n Software Development Organzatons Ahmad A. Al-Rababah and Mohammad A. Al-Rababah Faculty of IT, Al-Ahlyyah Amman Unversty,
Intra-Parametric Analysis of a Fuzzy MOLP
Intra-Parametrc Analyss of a Fuzzy MOLP a MIAO-LING WANG a Department of Industral Engneerng and Management a Mnghsn Insttute of Technology and Hsnchu Tawan, ROC b HSIAO-FAN WANG b Insttute of Industral
NETWORKS of dynamical systems appear in a variety of
Necessary and Suffcent Topologcal Condtons for Identfablty of Dynamcal Networks Henk J. van Waarde, Petro Tes, and M. Kanat Camlbel arxv:807.09v [math.oc] 2 Jul 208 Abstract Ths paper deals wth dynamcal
A Topology-aware Random Walk
A Topology-aware Random Walk Inkwan Yu, Rchard Newman Dept. of CISE, Unversty of Florda, Ganesvlle, Florda, USA Abstract When a graph can be decomposed nto clusters of well connected subgraphs, t s possble
Structure from Motion
Structure from Moton Structure from Moton For now, statc scene and movng camera Equvalentl, rgdl movng scene and statc camera Lmtng case of stereo wth man cameras Lmtng case of multvew camera calbraton
A SYSTOLIC APPROACH TO LOOP PARTITIONING AND MAPPING INTO FIXED SIZE DISTRIBUTED MEMORY ARCHITECTURES
A SYSOLIC APPROACH O LOOP PARIIONING AND MAPPING INO FIXED SIZE DISRIBUED MEMORY ARCHIECURES Ioanns Drosts, Nektaros Kozrs, George Papakonstantnou and Panayots sanakas Natonal echncal Unversty of Athens
Angle-Independent 3D Reconstruction. Ji Zhang Mireille Boutin Daniel Aliaga
Angle-Independent 3D Reconstructon J Zhang Mrelle Boutn Danel Alaga Goal: Structure from Moton To reconstruct the 3D geometry of a scene from a set of pctures (e.g. a move of the scene pont reconstructon
LLVM passes and Intro to Loop Transformation Frameworks
LLVM passes and Intro to Loop Transformaton Frameworks Announcements Ths class s recorded and wll be n D2L panapto. No quz Monday after sprng break. Wll be dong md-semester class feedback. Today LLVM passes
CE 221 Data Structures and Algorithms
CE 1 ata Structures and Algorthms Chapter 4: Trees BST Text: Read Wess, 4.3 Izmr Unversty of Economcs 1 The Search Tree AT Bnary Search Trees An mportant applcaton of bnary trees s n searchng. Let us assume
Quality Improvement Algorithm for Tetrahedral Mesh Based on Optimal Delaunay Triangulation
Intellgent Informaton Management, 013, 5, 191-195 Publshed Onlne November 013 (http://www.scrp.org/journal/m) http://dx.do.org/10.36/m.013.5601 Qualty Improvement Algorthm for Tetrahedral Mesh Based on
On the diameter of random planar graphs
On the dameter of random planar graphs Gullaume Chapuy, CNRS & LIAFA, Pars jont work wth Érc Fusy, Pars, Omer Gménez, ex-barcelona, Marc Noy, Barcelona. Probablty and Graphs, Eurandom, Endhoven, 04. Planar
A New Approach For the Ranking of Fuzzy Sets With Different Heights
New pproach For the ankng of Fuzzy Sets Wth Dfferent Heghts Pushpnder Sngh School of Mathematcs Computer pplcatons Thapar Unversty, Patala-7 00 Inda pushpndersnl@gmalcom STCT ankng of fuzzy sets plays
GSLM Operations Research II Fall 13/14
GSLM 58 Operatons Research II Fall /4 6. Separable Programmng Consder a general NLP mn f(x) s.t. g j (x) b j j =. m. Defnton 6.. The NLP s a separable program f ts objectve functon and all constrants are
Accessibility Analysis for the Automatic Contact and Non-contact Inspection on Coordinate Measuring Machines
Proceedngs of the World Congress on Engneerng 008 Vol I Accessblty Analyss for the Automatc Contact and Non-contact Inspecton on Coordnate Measurng Machnes B. J. Álvarez, P. Fernández, J. C. Rco and G.
Recognizing Faces. Outline
Recognzng Faces Drk Colbry Outlne Introducton and Motvaton Defnng a feature vector Prncpal Component Analyss Lnear Dscrmnate Analyss !"" #$""% http://www.nfotech.oulu.f/annual/2004 + &'()*) '+)* 2 ! &
Concurrent Apriori Data Mining Algorithms
Concurrent Apror Data Mnng Algorthms Vassl Halatchev Department of Electrcal Engneerng and Computer Scence York Unversty, Toronto October 8, 2015 Outlne Why t s mportant Introducton to Assocaton Rule Mnng
Assignment # 2. Farrukh Jabeen Algorithms 510 Assignment #2 Due Date: June 15, 2009.
Farrukh Jabeen Algorthms 51 Assgnment #2 Due Date: June 15, 29. Assgnment # 2 Chapter 3 Dscrete Fourer Transforms Implement the FFT for the DFT. Descrbed n sectons 3.1 and 3.2. Delverables: 1. Concse descrpton
Optimization of Local Routing for Connected Nodes with Single Output Ports - Part I: Theory
U J.T. (: 33- (pr. 0 Optmzaton of Local Routng for Connected odes wth Sngle Output Ports - Part I: Theory Dobr tanassov Batovsk Faculty of Scence and Technology ssumpton Unversty Bangkok Thaland E-mal:
Exercises (Part 4) Introduction to R UCLA/CCPR. John Fox, February 2005
Exercses (Part 4) Introducton to R UCLA/CCPR John Fox, February 2005 1. A challengng problem: Iterated weghted least squares (IWLS) s a standard method of fttng generalzed lnear models to data. As descrbed
Face Recognition Based on SVM and 2DPCA
Vol. 4, o. 3, September, 2011 Face Recognton Based on SVM and 2DPCA Tha Hoang Le, Len Bu Faculty of Informaton Technology, HCMC Unversty of Scence Faculty of Informaton Scences and Engneerng, Unversty
What are the camera parameters? Where are the light sources? What is the mapping from radiance to pixel color? Want to solve for 3D geometry
Today: Calbraton What are the camera parameters? Where are the lght sources? What s the mappng from radance to pel color? Why Calbrate? Want to solve for D geometry Alternatve approach Solve for D shape
Routing in Degree-constrained FSO Mesh Networks
Internatonal Journal of Hybrd Informaton Technology Vol., No., Aprl, 009 Routng n Degree-constraned FSO Mesh Networks Zpng Hu, Pramode Verma, and James Sluss Jr. School of Electrcal & Computer Engneerng
Transaction-Consistent Global Checkpoints in a Distributed Database System
Proceedngs of the World Congress on Engneerng 2008 Vol I Transacton-Consstent Global Checkponts n a Dstrbuted Database System Jang Wu, D. Manvannan and Bhavan Thurasngham Abstract Checkpontng and rollback
GLOBAL REGISTRATION OF NON STATIC 3D LIDAR POINT CLOUDS: SVD FACTORISATION AND ROBUST GPA METHODS
GLOBAL REGISRAION OF NON SAIC 3D LIDAR POIN CLOUDS: SVD FACORISAION AND ROBUS GPA EHODS Fabo Croslla*, Alberto Benat Unversty of Udne, Dp d Georsorse e errtoro, Va Cotonfco 4, I-33 UDINE (Italy) fabo.croslla@unud.t,
A Network Bandwidth Computation Technique for IP Storage with QoS Guarantees
A Network Bandwdth Computaton Technque for IP Storage wth QoS Guarantees Young Jn Nam 1, Junkl Ryu 1, Chank Park 1, and Jong Suk Ahn 2 1 Department of Computer Scence and Engneerng Pohang Unversty of Scence
Chapter 4. Non-Uniform Offsetting and Hollowing by Using Biarcs Fitting for Rapid Prototyping Processes
Chapter 4 Non-Unform Offsettng and Hollowng by Usng Barcs Fttng for Rapd Prototypng Processes Ths chapter presents a new method of Non-Unform offsettng and usng barc fttngs to hollow out sold objects or
Harmonic Coordinates for Character Articulation PIXAR
Harmonc Coordnates for Character Artculaton PIXAR Pushkar Josh Mark Meyer Tony DeRose Bran Green Tom Sanock We have a complex source mesh nsde of a smpler cage mesh We want vertex deformatons appled to
Wavefront Reconstructor
A Dstrbuted Smplex B-Splne Based Wavefront Reconstructor Coen de Vsser and Mchel Verhaegen 14-12-201212 2012 Delft Unversty of Technology Contents Introducton Wavefront reconstructon usng Smplex B-Splnes