Mesh and Node Equations: More Circuits Containing Dependent Sources
|
|
- Ashlynn Goodman
- 5 years ago
- Views:
Transcription
1 Mesh nd Node Equtions: More Circuits Contining Dependent Sources Introduction The circuits in this set of problems ech contin single dependent source. These circuits cn be nlyzed using mesh eqution or using node equtions. When doing so, it is useful to express the controlling current or voltge of the dependent source s function of the mesh currents or node voltges. Node equtions re discussed in Sections 4.3, 4.4 nd 4.5 of Introduction to Electric Circuits by R.C. Dorf nd J.A Svobod. Section 4.5 considers circuits tht contin dependent sources. Mesh equtions re discussed in Sections 4.6 nd 4.7. Section 4.7 considers circuits tht contin dependent sources. Worked Exmples Exmple 1: Consider the circuit shown in Figure 1. Find the vlue of the gin, A, of the VCVS. Figure 1 The circuit considered in Exmple 1. Solution: Figure 2 shows the circuit from Figure 1 fter replcing the voltmeter by n equivlent open circuit nd lbeling the voltge mesured by the voltmeter. We will nlyze this circuit by writing nd solving node equtions. Figure 3 shows the circuit fter selecting reference node nd numbering the other nodes. Let v 1, v 2 nd v 3 denote the node voltges t nodes 1, 2 nd 3, respectively.
2 Figure 2 The circuit from Figure 1 fter replcing the voltmeter by n open circuit. Figure 3 The circuit from Figure 2 fter lbeling the nodes. The voltge cross the dependent source is represented in three wys. It is A*v with the + of reference direction t the top, 5.14 V with the + t the bottom nd v 3 0 = v 3 with the + t the top. Consequently v3 = Av = 5.14 V The voltge of the 12 V voltge source cn be expressed in terms of the node voltges s 12 = v 0 v = 12 V 1 1 The controlling voltge of the dependent source, v, is the voltge cross n open circuit. This voltge cn be expressed in terms of the node voltges t the nodes of the open circuit. Hence Apply KCL to node 2 to get v = v 0 = v 2 2 Finlly, v1 v2 v2 v3 12 v2 v2 ( 5.14) = = v2 = 1.71 V Av Av 5.14 A = = = = 3 V/V v v
3 Exmple 2: Consider the circuit shown in Figure 4. Find the vlue of the gin, A, of the VCCS. Figure 4 The circuit considered in Exmple 2. Solution: Figure 5 shows the circuit from Figure 4 fter replcing the mmeter by n equivlent short circuit nd lbeling the current mesured by the mmeter. We will nlyze this circuit by writing nd solving node equtions. Figure 6 shows the circuit fter selecting reference node nd numbering the other nodes. Let v 1, v 2 nd v 3 denote the node voltges t nodes 1, 2 nd 3, respectively. Figure 5 The circuit from Figure 4 fter replcing the mmeter by short circuit. Figure 6 The circuit from Figure 5 fter lbeling the nodes.
4 The voltge of the 36 V voltge source cn be expressed in terms of the node voltges s 36 = v 0 v = 36 V 1 1 The controlling voltge of the dependent source, v, is the voltge cross n open circuit. This voltge cn be expressed in terms of the node voltges t the nodes of the open circuit. Hence v = v 0 = v 2 2 Node 3 is connected to the reference node by the short circuit tht replced the mmeter. The voltges cross short circuit is 0 V. Consequently Apply KCL t node 2 to get v 0= 0 V v = 0 V 3 3 v1 v2 v2 v3 36 v2 v2 0 = = v2 = 10.3 V Apply KCL t node 3 to get v2 v3 = Av + ( 39.9) Av = 41.2 V 8 Finlly, Av Av 41.2 A = 4 A/V v = v = 10.3 = 2
5 Exmple 3: Consider the circuit shown in Figure 7. Find the vlue of the gin, A, of the CCCS. Figure 7 The circuit considered in Exmple 3. Solution: Figure 8 shows the circuit from Figure 7 fter replcing the voltmeter by n equivlent open circuit nd lbeling the voltge mesured by the voltmeter. We will nlyze this circuit using mesh equtions. Figure 9 shows the circuit fter numbering the meshes. Let i 1 nd i 2 denote the mesh currents in meshes 1 nd 2, respectively. Figure 8 The circuit from Figure 7 fter replcing the voltmeter by n open circuit. Figure 9 The circuit from Figure 8 fter lbeling the meshes.
6 The controlling current of the dependent source, i, is the current in short circuit. This short circuit is common to meshes 1 nd 2. The short circuit current cn be expressed in terms of the mesh currents s i = i i The dependent source is in only one mesh, mesh 2. The reference direction of the dependent source current does not gree with the reference direction of i 2. Consequently 1 2 Apply KVL to mesh 1 to get Ai = i i1 24 = 0 i1 = A 4 Apply KVL to mesh 2 to get i2 (30) = 0 i2 = A 16 Finlly, A Ai i i i i 2 = = = = A/A
7 Exmple 4: Consider the circuit shown in Figure 10. Find the vlue of the gin, A, of the CCVS. Figure 10 The circuit considered in Exmple 4. Solution: Figure 11 shows the circuit from Figure 10 fter replcing the voltmeter by n equivlent open circuit nd lbeling the voltge mesured by the voltmeter. We will nlyze this circuit using mesh equtions. Figure 11 shows the circuit fter numbering the meshes. Let i 1 nd i 2 denote the mesh currents in meshes 1 nd 2, respectively. Figure 11 The circuit from Figure 10 fter replcing the voltmeter by n open circuit. Figure 12 The circuit from Figure 11 fter lbeling the meshes.
8 The voltge cross the dependent source is represented in two wys. It is A*v with the + of reference direction t the bottom nd -7.2 V with the + t the top. Consequently ( ) Av = 7.2 = 7.2 V The controlling current of the dependent source, i, is the current in short circuit. This short circuit is common to meshes 1 nd 2. The short circuit current cn be expressed in terms of the mesh currents s i = i i Apply KVL to mesh 1 to get Apply KVL to mesh 2 to get i 36 = 0 i = 3.6 A i + ( 7.2) = 0 i = 1.8 A 2 2 Finlly, Ai Ai 7.2 A = 4 V/A i = i i = = 1 2
Source Transformations
Source Transformations Introduction The circuits in this set of problems consist of independent sources, resistors and a meter. In particular, these circuits do not contain dependent sources. Each of these
More informationHomework #1 due Monday at 6pm. White drop box in Student Lounge on the second floor of Cory. Tuesday labs cancelled next week
Announcements Homework #1 due Mondy t 6pm White drop ox in Student Lounge on the second floor of Cory Tuesdy ls cncelled next week Attend your other l slot Books on reserve in Bechtel Hmley, 2 nd nd 3
More informationDetermine currents I 1 to I 3 in the circuit of Fig. P2.14. Solution: For the loop containing the 18-V source, I 1 = 0.
Prolem.14 Determine currents 1 to 3 in the circuit of Fig. P.14. 1 A 18 V Ω 3 A 1 8 Ω 1 Ω 7 Ω 4 Ω 3 Figure P.14: Circuit for Prolem.14. For the loop contining the 18-V source, Hence, 1 = 1.5 A. KCL t node
More informationEE Controls Lab #2: Implementing State-Transition Logic on a PLC
Objective: EE 44 - Controls Lb #2: Implementing Stte-rnsition Logic on PLC ssuming tht speed is not of essence, PLC's cn be used to implement stte trnsition logic. he dvntge of using PLC over using hrdwre
More informationExperiment 3: The research of Thevenin theorem
Experiment 3: The reserch of Thevenin theorem 1. Purpose ) Vlidte Thevenin theorem; ) Mster the methods to mesure the equivlent prmeters of liner twoterminl ctive. c) Study the conditions of the mximum
More informationREVIEW QUESTIONS. Figure 2.63 For Review Question 2.6. Figure 2.64 For Review Question The reciprocal of resistance is:
EVIEW QUESTIONS 2.1 The reciprocl of resistnce is: () voltge () current (c) conductnce (d) couloms 2.2 An electric heter drws 10 A from 120-V line. The resistnce of the heter is: () 1200 () 120 (c) 12
More informationTUTORIAL Electric Machine Modeling
TUTORIAL Electric Mchine Modeling October 206 Electric Mchine Modeling One cn crete electric chine odels using the bsic unction blocks in PSIM. In this tutoril, we will illustrte how to crete the odel
More informationREVIEW QUESTIONS. Figure For Review Question Figure For Review Question Figure For Review Question 10.2.
HAPTE 0 Sinusoidl Stedy-Stte Anlysis 42 EVIEW QUESTIONS 0. The voltge cross the cpcitor in Fig. 0.43 is: () 5 0 V () 7.07 45 V (c) 7.07 45 V (d) 5 45 V Ω 0.5 efer to the circuit in Fig. 0.47 nd oserve
More information(CATALYST GROUP) B"sic Electric"l Engineering
(CATALYST GROUP) B"sic Electric"l Engineering 1. Kirchhoff s current l"w st"tes th"t (") net current flow "t the junction is positive (b) Hebr"ic sum of the currents meeting "t the junction is zero (c)
More informationRegular languages can be expressed as regular expressions.
Regulr lnguges cn e expressed s regulr expressions. A generl nondeterministic finite utomton (GNFA) is kind of NFA such tht: There is unique strt stte nd is unique ccept stte. Every pir of nodes re connected
More informationDirect Current Circuits. Chapter Outline Electromotive Force 28.2 Resistors in Series and in Parallel 28.3 Kirchhoff s Rules 28.
P U Z Z L E R If ll these pplinces were operting t one time, circuit reker would proly e tripped, preventing potentilly dngerous sitution. Wht cuses circuit reker to trip when too mny electricl devices
More informationVector Calculus. 1 Line Integrals
Vector lculus 1 Line Integrls Mss problem. Find the mss M of very thin wire whose liner density function (the mss per unit length) is known. We model the wire by smooth curve between two points P nd Q
More informationElectric Circuits II Three-Phase Circuits. Dr. Firas Obeidat
Electric Circuits II Three-Phase Circuits Dr. Firas Obeidat 1 Table of Contents 1 Balanced Three-Phase Voltages 2 Balanced Wye-Wye Connection 3 Balanced Wye-Delta Connection 4 Balanced Delta-Delta Connection
More informationEE 105 Discussion #1: Fundamentals of Circuit Analysis
EE 105 Discussion #1: Fundamentals of Circuit Analysis 1.1 Ohm s Law V = ir i = V/R 1.2 KCL & KVL Kirchoff s Current Law (KCL) Kirchoff s Voltage Law (KVL) The algebraic sum of all currents entering a
More informationChapter two. Basic Laws. 2.1 Introduction
2.1 Introduction Chapter two Basic Laws Chapter 1 introduced basic concepts in an electric circuit. To actually determine the values of these variables in a given circuit requires that we understand some
More informationExercise 1-1. The Sine Wave EXERCISE OBJECTIVE DISCUSSION OUTLINE. Relationship between a rotating phasor and a sine wave DISCUSSION
Exercise 1-1 The Sine Wve EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the notion of sine wve nd how it cn be expressed s phsor rotting round the center of circle. You
More information& Y Connected resistors, Light emitting diode.
& Y Connected resistors, Light emitting diode. Experiment # 02 Ojectives: To get some hndson experience with the physicl instruments. To investigte the equivlent resistors, nd Y connected resistors, nd
More informationLecture 20. Intro to line integrals. Dan Nichols MATH 233, Spring 2018 University of Massachusetts.
Lecture 2 Intro to line integrls Dn Nichols nichols@mth.umss.edu MATH 233, Spring 218 University of Msschusetts April 12, 218 (2) onservtive vector fields We wnt to determine if F P (x, y), Q(x, y) is
More informationMEASURE THE CHARACTERISTIC CURVES RELEVANT TO AN NPN TRANSISTOR
Electricity Electronics Bipolr Trnsistors MEASURE THE HARATERISTI URVES RELEVANT TO AN NPN TRANSISTOR Mesure the input chrcteristic, i.e. the bse current IB s function of the bse emitter voltge UBE. Mesure
More informationKirchhoff s Rules. Kirchhoff s Laws. Kirchhoff s Rules. Kirchhoff s Laws. Practice. Understanding SPH4UW. Kirchhoff s Voltage Rule (KVR):
SPH4UW Kirchhoff s ules Kirchhoff s oltge ule (K): Sum of voltge drops round loop is zero. Kirchhoff s Lws Kirchhoff s Current ule (KC): Current going in equls current coming out. Kirchhoff s ules etween
More informationMETHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN. Inventor: Brian L. Baskin
METHOD OF LOCATION USING SIGNALS OF UNKNOWN ORIGIN Inventor: Brin L. Bskin 1 ABSTRACT The present invention encompsses method of loction comprising: using plurlity of signl trnsceivers to receive one or
More informationSolution: Based on the slope of q(t): 20 A for 0 t 1 s dt = 0 for 3 t 4 s. 20 A for 4 t 5 s 0 for t 5 s 20 C. t (s) 20 C. i (A) Fig. P1.
Problem 1.24 The plot in Fig. P1.24 displays the cumulative charge q(t) that has entered a certain device up to time t. Sketch a plot of the corresponding current i(t). q 20 C 0 1 2 3 4 5 t (s) 20 C Figure
More informationELEC273 Lecture Notes Set 4, Mesh Analysis
ELEC273 Lecture Notes Set 4, Mesh Analysis The course web site is: http://users.encs.concordia.ca/~trueman/web_page_273.htm The list of homework problems is in the course outline. For this week: Do these
More informationMesh Analysis and Dependent Sources
TRADEMARK OF INNOVATION Mesh Analysis and Dependent Sources Mesh analysis is a very handy tool to compute current within electronic circuits. From knowing the current within each mesh (section) we can
More informationPrelab 4 Millman s and Reciprocity Theorems
Prelab 4 Millman s and Reciprocity Theorems I. For the circuit in figure (4-7a) and figure (4-7b) : a) Calculate : - The voltage across the terminals A- B with the 1kΩ resistor connected. - The current
More informationLECTURE 9: QUADRATIC RESIDUES AND THE LAW OF QUADRATIC RECIPROCITY
LECTURE 9: QUADRATIC RESIDUES AND THE LAW OF QUADRATIC RECIPROCITY 1. Bsic roerties of qudrtic residues We now investigte residues with secil roerties of lgebric tye. Definition 1.1. (i) When (, m) 1 nd
More informationDomination and Independence on Square Chessboard
Engineering nd Technology Journl Vol. 5, Prt, No. 1, 017 A.A. Omrn Deprtment of Mthemtics, College of Eduction for Pure Science, University of bylon, bylon, Irq pure.hmed.omrn@uobby lon.edu.iq Domintion
More informationES250: Electrical Science. HW6: The Operational Amplifier
ES250: Electrical Science HW6: The Operational Amplifier Introduction This chapter introduces the operational amplifier or op amp We will learn how to analyze and design circuits that contain op amps,
More informationStudent Book SERIES. Patterns and Algebra. Name
E Student Book 3 + 7 5 + 5 Nme Contents Series E Topic Ptterns nd functions (pp. ) identifying nd creting ptterns skip counting completing nd descriing ptterns predicting repeting ptterns predicting growing
More informationECE 215 Lecture 8 Date:
ECE 215 Lecture 8 Date: 28.08.2017 Phase Shifter, AC bridge AC Circuits: Steady State Analysis Phase Shifter the circuit current I leads the applied voltage by some phase angle θ, where 0 < θ < 90 ο depending
More informationElectronic Circuits I - Tutorial 03 Diode Applications I
Electronic Circuits I - Tutoril 03 Diode Applictions I -1 / 9 - T & F # Question 1 A diode cn conduct current in two directions with equl ese. F 2 When reverse-bised, diode idelly ppers s short. F 3 A
More information3.4 The Single-Loop Circuit Single-loop circuits
25 3.4 The Single-Loop Circuit Single-loop circuits Elements are connected in series All elements carry the same current We shall determine The current through each element The voltage across each element
More informationEngineering: Elec 3509 Electronics II Instructor: Prof. Calvin Plett,
Engineering: Elec 3509 Electronics II Instructor: Prof. Clvin Plett, emil cp@doe.crleton.c Objective: To study the principles, design nd nlysis of nlog electronic circuits. Description: In this course,
More informationMath Circles Finite Automata Question Sheet 3 (Solutions)
Mth Circles Finite Automt Question Sheet 3 (Solutions) Nickols Rollick nrollick@uwterloo.c Novemer 2, 28 Note: These solutions my give you the nswers to ll the prolems, ut they usully won t tell you how
More informationNetwork Theorems. Objectives 9.1 INTRODUCTION 9.2 SUPERPOSITION THEOREM
M09_BOYL3605_13_S_C09.indd Pge 359 24/11/14 1:59 PM f403 /204/PH01893/9780133923605_BOYLSTAD/BOYLSTAD_NTRO_CRCUT_ANALYSS13_S_978013... Network Theorems Ojectives Become fmilir with the superposition theorem
More informationSOLVING TRIANGLES USING THE SINE AND COSINE RULES
Mthemtics Revision Guides - Solving Generl Tringles - Sine nd Cosine Rules Pge 1 of 17 M.K. HOME TUITION Mthemtics Revision Guides Level: GCSE Higher Tier SOLVING TRIANGLES USING THE SINE AND COSINE RULES
More informationSynchronous Machine Parameter Measurement
Synchronous Mchine Prmeter Mesurement 1 Synchronous Mchine Prmeter Mesurement Introduction Wound field synchronous mchines re mostly used for power genertion but lso re well suited for motor pplictions
More informationSynchronous Generator Line Synchronization
Synchronous Genertor Line Synchroniztion 1 Synchronous Genertor Line Synchroniztion Introduction One issue in power genertion is synchronous genertor strting. Typiclly, synchronous genertor is connected
More informationThe Discussion of this exercise covers the following points:
Exercise 4 Bttery Chrging Methods EXERCISE OBJECTIVE When you hve completed this exercise, you will be fmilir with the different chrging methods nd chrge-control techniques commonly used when chrging Ni-MI
More informationSection 17.2: Line Integrals. 1 Objectives. 2 Assignments. 3 Maple Commands. 1. Compute line integrals in IR 2 and IR Read Section 17.
Section 7.: Line Integrls Objectives. ompute line integrls in IR nd IR 3. Assignments. Red Section 7.. Problems:,5,9,,3,7,,4 3. hllenge: 6,3,37 4. Red Section 7.3 3 Mple ommnds Mple cn ctully evlute line
More informationApplication Note. Differential Amplifier
Appliction Note AN367 Differentil Amplifier Author: Dve n Ess Associted Project: Yes Associted Prt Fmily: CY8C9x66, CY8C7x43, CY8C4x3A PSoC Designer ersion: 4. SP3 Abstrct For mny sensing pplictions, desirble
More informationArray chip resistors size ARC241/ARC242 ARV241/ARV242
Arry chip resistors FEATURES 4 0603 sized resistors in one 1206-sized pckge Reduced reel exchnge time Low ssembly costs Reduced PCB re Reduced size of finl equipment Higher component nd equipment relibility.
More informationSinusoidal Steady State Analysis
CHAPTER 8 Snusodl Stedy Stte Anlyss 8.1. Generl Approch In the prevous chpter, we hve lerned tht the stedy-stte response of crcut to snusodl nputs cn e otned y usng phsors. In ths chpter, we present mny
More informationUnderstanding Basic Analog Ideal Op Amps
Appliction Report SLAA068A - April 2000 Understnding Bsic Anlog Idel Op Amps Ron Mncini Mixed Signl Products ABSTRACT This ppliction report develops the equtions for the idel opertionl mplifier (op mp).
More informationSmall signal ac equivalent circuit of BJT
UNIT-2 Part A 1. What is an ac load line? [N/D 16] A dc load line gives the relationship between the q-point and the transistor characteristics. When capacitors are included in a CE transistor circuit,
More informationGeometric quantities for polar curves
Roerto s Notes on Integrl Clculus Chpter 5: Bsic pplictions of integrtion Section 10 Geometric quntities for polr curves Wht you need to know lredy: How to use integrls to compute res nd lengths of regions
More informationMulti-beam antennas in a broadband wireless access system
Multi-em ntenns in rodnd wireless ccess system Ulrik Engström, Mrtin Johnsson, nders Derneryd nd jörn Johnnisson ntenn Reserch Center Ericsson Reserch Ericsson SE-4 84 Mölndl Sweden E-mil: ulrik.engstrom@ericsson.com,
More informationMATH 118 PROBLEM SET 6
MATH 118 PROBLEM SET 6 WASEEM LUTFI, GABRIEL MATSON, AND AMY PIRCHER Section 1 #16: Show tht if is qudrtic residue modulo m, nd b 1 (mod m, then b is lso qudrtic residue Then rove tht the roduct of the
More informationA Development of Earthing-Resistance-Estimation Instrument
A Development of Erthing-Resistnce-Estimtion Instrument HITOSHI KIJIMA Abstrct: - Whenever erth construction work is done, the implnted number nd depth of electrodes hve to be estimted in order to obtin
More informationModule 9. DC Machines. Version 2 EE IIT, Kharagpur
Module 9 DC Mchines Version EE IIT, Khrgpur esson 40 osses, Efficiency nd Testing of D.C. Mchines Version EE IIT, Khrgpur Contents 40 osses, efficiency nd testing of D.C. mchines (esson-40) 4 40.1 Gols
More informationStudy on SLT calibration method of 2-port waveguide DUT
Interntionl Conference on Advnced Electronic cience nd Technology (AET 206) tudy on LT clibrtion method of 2-port wveguide DUT Wenqing Luo, Anyong Hu, Ki Liu nd Xi Chen chool of Electronics nd Informtion
More informationElectrical Circuits I (ENGR 2405) Chapter 2 Ohm s Law, KCL, KVL, Resistors in Series/Parallel
Electrical Circuits I (ENG 2405) Chapter 2 Ohm s Law, KCL, KVL, esistors in Series/Parallel esistivity Materials tend to resist the flow of electricity through them. This property is called resistance
More informationTopic 20: Huffman Coding
Topic 0: Huffmn Coding The uthor should gze t Noh, nd... lern, s they did in the Ark, to crowd gret del of mtter into very smll compss. Sydney Smith, dinburgh Review Agend ncoding Compression Huffmn Coding
More informationChapter 8. Constant Current Sources
Chapter 8 Methods of Analysis Constant Current Sources Maintains same current in branch of circuit Doesn t matter how components are connected external to the source Direction of current source indicates
More informationStudent Book SERIES. Fractions. Name
D Student Book Nme Series D Contents Topic Introducing frctions (pp. ) modelling frctions frctions of collection compring nd ordering frctions frction ingo pply Dte completed / / / / / / / / Topic Types
More informationAquauno Select MINUTES. (duration) FREQUENCY LED. OFF 8h AQUAUNO SELECT 5 MIN FREQUENCY. the timer is being programmed;
Aquuno Select Pg. INSTALLATION. Attch the timer to cold wter tp, following these simple instructions. Do not instll the timer in pit or vlve ox, elow ground level or indoors. Do not use the timer with
More informationLab Experiment No. 4
Lab Experiment No. Kirchhoff s Laws I. Introduction In this lab exercise, you will learn how to read schematic diagrams of electronic networks, how to draw and use network graphs, how to transform schematics
More informationObjective of the Lecture
Objective of the Lecture Present Kirchhoff s Current and Voltage Laws. Chapter 5.6 and Chapter 6.3 Principles of Electric Circuits Chapter4.6 and Chapter 5.5 Electronics Fundamentals or Electric Circuit
More information3. Voltage and Current laws
1 3. Voltage and Current laws 3.1 Node, Branches, and loops A branch represents a single element such as a voltage source or a resistor A node is the point of the connection between two or more elements
More informationUniversity of North Carolina-Charlotte Department of Electrical and Computer Engineering ECGR 4143/5195 Electrical Machinery Fall 2009
Problem 1: Using DC Mchine University o North Crolin-Chrlotte Deprtment o Electricl nd Computer Engineering ECGR 4143/5195 Electricl Mchinery Fll 2009 Problem Set 4 Due: Thursdy October 8 Suggested Reding:
More informationExperiment 3: Non-Ideal Operational Amplifiers
Experiment 3: Non-Idel Opertionl Amplifiers Fll 2009 Equivlent Circuits The bsic ssumptions for n idel opertionl mplifier re n infinite differentil gin ( d ), n infinite input resistnce (R i ), zero output
More informationSection 10.2 Graphing Polar Equations
Section 10.2 Grphing Polr Equtions OBJECTIVE 1: Sketching Equtions of the Form rcos, rsin, r cos r sin c nd Grphs of Polr Equtions of the Form rcos, rsin, r cos r sin c, nd where,, nd c re constnts. The
More informationThree-Phase NPC Inverter Using Three-Phase Coupled Inductor
ThreePhse NPC Inverter Using ThreePhse Coupled Inductor Romeu Husmnn 1, Rodrigo d Silv 2 nd Ivo Brbi 2 1 Deprtment of Electricl nd Telecommuniction Engineering, University of Blumenu FURB Blumenu SC Brzil,
More informationSynchronous Machine Parameter Measurement
Synchronous Mchine Prmeter Mesurement 1 Synchronous Mchine Prmeter Mesurement Introduction Wound field synchronous mchines re mostly used for power genertion but lso re well suited for motor pplictions
More informationREVIEW, pages
REVIEW, pges 510 515 6.1 1. Point P(10, 4) is on the terminl rm of n ngle u in stndrd position. ) Determine the distnce of P from the origin. The distnce of P from the origin is r. r x 2 y 2 Substitute:
More informationET 51 EXTERIOR ROOF DRIP SIDE FINISH MOULDING INSTALLATION
EXTERIOR ROOF DRIP SIDE FINISH MOULDING 51 INSTALLATION The procedure descried elow is for the LH side. Use the sme procedure for oth the RH nd LH sides, unless otherwise specified. 1. INSTALL ROOF SIDE
More informationA Novel Back EMF Zero Crossing Detection of Brushless DC Motor Based on PWM
A ovel Bck EMF Zero Crossing Detection of Brushless DC Motor Bsed on PWM Zhu Bo-peng Wei Hi-feng School of Electricl nd Informtion, Jingsu niversity of Science nd Technology, Zhenjing 1003 Chin) Abstrct:
More informationDesign and implementation of a high-speed bit-serial SFQ adder based on the binary decision diagram
INSTITUTE OFPHYSICS PUBLISHING Supercond. Sci. Technol. 16 (23) 1497 152 SUPERCONDUCTORSCIENCE AND TECHNOLOGY PII: S953-248(3)67111-3 Design nd implementtion of high-speed it-seril SFQ dder sed on the
More informationSuperposition, Thevenin and Norton. Superposition
Superposton, Thevenn nd Norton OUTINE Superposton Thevenn Equvlent Crcut Norton Equvlent Crcut Mxmum Power Theorem ecture 6, 9/1/05 Redng Chpter.6-.8 ecture 6, Slde 1 Superposton A lner crcut s one constructed
More informationEE215 FUNDAMENTALS OF ELECTRICAL ENGINEERING
EE215 FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University of Washington, Bothell Spring 2010 EE215 1 1 WEEK 2 SIMPLE RESISTIVE CIRCUITS April 9 th, 2010 TC Chen UWB 2010 EE215 2 2 QUESTIONS
More informationThevenin Equivalent Circuits: (Material for exam - 3)
Thevenin Equivalent Circuits: (Material for exam 3) The Thevenin equivalent circuit is a two terminal output circuit that contains only one source called E TH and one series resistors called R TH. This
More informationGeneral Augmented Rook Boards & Product Formulas
Forml Power Series nd Algebric Combintorics Séries Formelles et Combintoire Algébriue Sn Diego, Cliforni 006 Generl Augmented Rook Bords & Product Formuls Brin K Miceli Abstrct There re number of so-clled
More informationCorrection & Clarification From Last Lecture (2)
EE47 Lecture 3 Active Filters Active iquds Sllen Key & TowThoms Integrtorsed filters Signl flowgrph concept First order integrtorsed filter Second order integrtorsed filter & iquds High order & high Q
More informationHarmonic Reduction via Optimal Power Flow and the Frequency Coupling Matrix
27 IEEE Conference on Control Technology nd Applictions (CCTA August 27-3, 27. Kohl Cost, Hwi'i, USA Hrmonic Reduction vi Optiml Power Flow nd the Frequency Coupling Mtrix Ynhu Tin University of Toronto,
More informationAnalysis of circuits containing active elements by using modified T - graphs
Anlsis of circuits contining ctive elements using modified T - grphs DALBO BOLEK *) nd EA BOLKOA**) Deprtment of Telecommunictions *) dioelectronics **) Brno Universit of Technolog Purknov 8, 6 Brno CECH
More information9.4. ; 65. A family of curves has polar equations. ; 66. The astronomer Giovanni Cassini ( ) studied the family of curves with polar equations
54 CHAPTER 9 PARAMETRIC EQUATINS AND PLAR CRDINATES 49. r, 5. r sin 3, 5 54 Find the points on the given curve where the tngent line is horizontl or verticl. 5. r 3 cos 5. r e 53. r cos 54. r sin 55. Show
More informationCS 135: Computer Architecture I. Boolean Algebra. Basic Logic Gates
Bsic Logic Gtes : Computer Architecture I Boolen Algebr Instructor: Prof. Bhgi Nrhri Dept. of Computer Science Course URL: www.ses.gwu.edu/~bhgiweb/cs35/ Digitl Logic Circuits We sw how we cn build the
More informationSection 16.3 Double Integrals over General Regions
Section 6.3 Double Integrls over Generl egions Not ever region is rectngle In the lst two sections we considered the problem of integrting function of two vribles over rectngle. This sitution however is
More informationBirka B22: threaded in variation
Tblet Weving: 4-Hole Ptterns Stringcrfter The chrt, fining your wy roun the pttern, n suggestions for viking style bris for rnks in the Drchenwl Acemy of Defence You will nee: 22 crs 1 repet 88 Thres:
More informationDataflow Language Model. DataFlow Models. Applications of Dataflow. Dataflow Languages. Kahn process networks. A Kahn Process (1)
The slides contin revisited mterils from: Peter Mrwedel, TU Dortmund Lothr Thiele, ETH Zurich Frnk Vhid, University of liforni, Riverside Dtflow Lnguge Model Drsticlly different wy of looking t computtion:
More informationMixed CMOS PTL Adders
Anis do XXVI Congresso d SBC WCOMPA l I Workshop de Computção e Aplicções 14 20 de julho de 2006 Cmpo Grnde, MS Mixed CMOS PTL Adders Déor Mott, Reginldo d N. Tvres Engenhri em Sistems Digitis Universidde
More informationExperiment 3: Non-Ideal Operational Amplifiers
Experiment 3: Non-Idel Opertionl Amplifiers 9/11/06 Equivlent Circuits The bsic ssumptions for n idel opertionl mplifier re n infinite differentil gin ( d ), n infinite input resistnce (R i ), zero output
More informationMSC Studentenwettbewerb. Wintersemester 2012/13. Marc/Mentat 2012
MSC Studentenwettewer Wintersemester 2012/13 Mrc/Mentt 2012 Aufge Wie groß ist die mximle Verschieung in Y Richtung im nichtlineren Fll? Required File: tip_lod.mud. 2 TUTORIAL Prolem Description In this
More informationSpiral Tilings with C-curves
Spirl Tilings with -curves Using ombintorics to Augment Trdition hris K. Plmer 19 North Albny Avenue hicgo, Illinois, 0 chris@shdowfolds.com www.shdowfolds.com Abstrct Spirl tilings used by rtisns through
More informationConvolutional Networks. Lecture slides for Chapter 9 of Deep Learning Ian Goodfellow
Convolutionl Networks Lecture slides for Chpter 9 of Deep Lerning In Goodfellow 2016-09-12 Convolutionl Networks Scle up neurl networks to process very lrge imges / video sequences Sprse connections Prmeter
More informationAlgorithms for Memory Hierarchies Lecture 14
Algorithms for emory Hierrchies Lecture 4 Lecturer: Nodri Sitchinv Scribe: ichel Hmnn Prllelism nd Cche Obliviousness The combintion of prllelism nd cche obliviousness is n ongoing topic of reserch, in
More informationMAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES
MAXIMUM FLOWS IN FUZZY NETWORKS WITH FUNNEL-SHAPED NODES Romn V. Tyshchuk Informtion Systems Deprtment, AMI corportion, Donetsk, Ukrine E-mil: rt_science@hotmil.com 1 INTRODUCTION During the considertion
More informationJob Sheet 2. Variable Speed Drive Operation OBJECTIVE PROCEDURE. To install and operate a Variable Speed Drive.
Job Sheet 2 Vrible Speed Drive Opertion OBJECTIVE To instll nd operte Vrible Speed Drive. PROCEDURE Before proceeding with this job, complete the sfety check list in Appendix B. 1. On the Vrible Speed
More informationExample. Check that the Jacobian of the transformation to spherical coordinates is
lss, given on Feb 3, 2, for Mth 3, Winter 2 Recll tht the fctor which ppers in chnge of vrible formul when integrting is the Jcobin, which is the determinnt of mtrix of first order prtil derivtives. Exmple.
More informationAnti-Surge Thick Film Chip Resistors Rtings ERJP3 (63) (63) ERJP6 ERJP8 (26) ERJP4 (2) Power Rting (3) t 7 C (W) Element Voltge () Mximum Overlod Volt
Anti-Surge Thick Film Chip Resistors Anti-Surge Thick Film Chip Re sis tors 63, 85, 26, 2 : ERJ P3, PA3, P6, P8, P4 Fetures ESD surge chrcteristics superior to stndrd metl fi lm resistors High relibility
More informationSummary of Last Lecture
EE47 Lecture 3 Lst lecture s summry Active Filters Active iquds Sllen Key & TowThoms Integrtor sed filters Signl flowgrph concept First order integrtor sed filter Second order integrtor sed filter & iquds
More informationResistors, Current and Voltage measurements, Ohm s law, Kirchhoff s first and second law. Kirchhoff s first Objectives:
EE -050 Ciruit L Experiment # esistors, Current nd Voltge mesurements, Ohm s lw, Kirhhoff s first nd seond lw. Kirhhoff s first Ojetives: Slmn in Adul Aziz University Eletril Engineering Deprtment. Fmiliriztion
More informationUNIVERSITY OF NORTH CAROLINA AT CHARLOTTE Department of Electrical and Computer Engineering
UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE Department of Electrical and Computer Engineering EXPERIMENT 8 NETWORK ANALYSIS OBJECTIVES The purpose of this experiment is to mathematically analyze a circuit
More informationPrepare for this experiment!
Notes on Experiment #7 Prepare for this experiment! During this experiment you will be building the most elaborate circuit of the term. (See Figure 1. below for circuit diagram and values.) You will also
More informationSignal flowgraph concept First order integrator based filter Second order integrator based filter & biquads. Cascaded biquad sensitivity
EE47 Lecture 3 Lst week s summry Active Filters Active biquds Sllen Key & TowThoms Integrtor bsed filters Signl flowgrph concept First order integrtor bsed filter Second order integrtor bsed filter & biquds
More informationPhysics 227: Lecture 11 Circuits, KVL, KCL, Meters
Physics 227: Lecture 11 Circuits, KVL, KCL, Meters Lecture 10 review: EMF ξ is not a voltage V, but OK for now. Physical emf source has V ab = ξ - Ir internal. Power in a circuit element is P = IV. For
More informationCAL. NX15 DUO-DISPLAY QUARTZ
L. NX15 UO-ISPLY QURTZ l nlogue time disply l igitl time nd clendr l hronogrph l Tchymeter l t recll function l lrm l Illuminting light (Electroluminescent pnel) ENGLISH Illuminting light (TIME/LENR mode
More informationNUMBER THEORY Amin Witno
WON Series in Discrete Mthemtics nd Modern Algebr Volume 2 NUMBER THEORY Amin Witno Prefce Written t Phildelphi University, Jordn for Mth 313, these notes 1 were used first time in the Fll 2005 semester.
More informationMisty. Sudnow Dot Songs
Sudnow Dot Songs isty T The Dot Song is nottionl system tht depicts voiced chords in wy where the non-music reder cn find these firly redily. But the Dot Song is not intended be red, not s sight reder
More informationSafety Relay Unit. Main contacts Auxiliary contact Number of input channels Rated voltage Model Category. possible 24 VAC/VDC G9SA-501.
Sfety Rely Unit The Series Offers Complete Line-up of Compct Units. Four kinds of -mm wide Units re ville: A -pole model, -pole model, nd models with poles nd OFF-dely poles, s well s Two-hnd ler. Simple
More information