EEL 5245 POWER ELECTRONICS I Lecture #14: Chapter 4 Non-Isolated DC-DC Converters PWM Converters DCM Analysis (DCM)
|
|
|
- Evelyn Greer
- 5 years ago
- Views:
Transcription
1 EE 545 POWER EECTRONICS I ecture #4: Chapter 4 Non-Isolated DC-DC Converters PWM Converters DCM Analysis (DCM)
2 Objectives Overview of Discontinuous Conduction Mode Buck Converter Analysis (DCM) Simulation of Buck in DCM Boost and Buck Boost Converter Analysis (DCM) Voltage Conversion Ratio (M=Gain) Average Input and Output Currents Output Voltage Ripple via Charge approximation Boundary Between CCM and DCM Examples of Analysis and Design for Boost and Buck Boost Converters in CCM/DCM PSPICE Simulation Verification
3 DCM Buck Converter i min = 0 Means inductor current starts at zero (i (0)=0), and ends at zero (i (T)=0) For a certain inductor value, DCM occurs as load is low,, Io is small. Io<Io,critical - In DCM, Vo/Vin= M= f(d,t,r,) Vo/Vin= M= f(d,d ) and D = f(d,t,r,)
4 Intuitive Concepts (All other variables are constant) Smaller Smaller Io arger T arger inductor current slope arger inductor current ripple More likely to go to DCM Smaller inductor average current (DC value) More likely to go to DCM Extended switching period allows more time for I to reach zero arger inductor current ripple More likely to go to DCM 3
5 DCM Buck Analysis S Mode : S on, D off Inductor charges from zero Mode : S off, D on Inductor discharges to zero 0 DT DT D T D T T V = Vin Vo I (0)=0 Vin Vo Vo I() t t I() t ( tdt) I( DT) Mode 3: S off, D off Inductor current =0 V = -Vo V = 0 I() t 0 oad is supplied by output capacitance4
6 I (0) 0 I( DT ) Vin Vo DT Volt Second balance: (Vin-Vo)*DT - Vo*(D -D)T = 0 Vo D M Vin D I max -I o c -I o o Vin-Vo -Vo o DT D T T t 5
7 I avg, Vo Io R I ( DT ) DT T Vo ( ) D RDT Vin Vo M RDT M Area under curve T Vin Vo DDT o 6
8 Solve for M D M D RD T M M M RD T M RD T M M M M RD T RD T M 0 Find roots of M b b 4ac a DRT 8 M 4 D RT 7
9 8 n R T RT 8 4 n n D M D Power Electronics often uses gain curves for design. It is easier to use normalized (Unit less) parameters, such as:
10 Book corrections - Eq. 4.9 must be corrected to: I D 8 D Eq.4.9 n 3 n nmax 4 n D - The y-axis in fig must be labeled I nmax instead of M 9
11 DCM buck Output voltage ripple I max -I o I max Imax Io DT t t ( I max Io) DT t t I Q ( t t )( Imax Io ) ( Imax Io) DT Vc C I V c max max Vo ( ) D RDT Vin Vo ( Imax Io) Vo CRD I ( Vin Vo) max Triangles similarity i c -I o v o, where t t DT D T T Vin Vo I max DT 0 t
12 CCM Boost Converter Mode : S on Mode : Mode : Switch and diode voltage stress= Vo Mode : S off
13
14 Voltage gain (from mode ) (from mode ) Using the above two equations, or using volt-second balance
15
16 Min & Max inductor current min Critical inductor Converter enters DCM when inductor current reaches zero I I max I in I in I I find critical Io?
17 CCM Boost Output voltage ripple Use capacitor charge Q DTI V o c V V c find v c (t)? o DTV CR D RCf o
18 DCM Boost Converter () Vin i t t 0 DT Vin Vo i () t ( tdt) I ( DT) DT D T i () 0 t D T T
19 ( ) Vin I DT DT Using the above two equations, or using volt-second balance Vin DT ( Vin Vo)( D D) T 0 Vo D Vin D D from mode Vin Vo I( DT ) 0 ( DD) T I( DT) from mode i I v i D i c 0 V in (V o V in ) I (DT) I max I o DT D T I o T t t t I o
20 Solve for M I Davg, I ( DT ) ( D D ) T VinD( D ) Vo I o R T Vo R DD ( DT ) () Vin M D D ( D D) M D D D ( M ) DM D DM ( M ) () Substitute eq. in eq. M D n n RT D T
21 DCM boost output voltage ripple I I I ( D D) T t DT t max max o DT ( I max Io)( D D) T I max Q ( tdt )( Imax Io ) ( I max Io) ( D D) T Vc C I D I max DM ( M ) Vin DT max Triangles similarity I max i c I o I o v c V o t t
22 CCM Buck-Boost Converter Mode : S on Mode : Mode : Mode : S off 0 DT DT T Note that buck-boost is an inverting converter (output is negative) Switch and diode voltage stress= Vin + Vo
23 3
24 (from mode ) (from mode ) Using the above two equations, or using volt-second balance M> M< M= 3 M( D) D 4
25 - D : D 5
26 Min & Max inductor current Critical inductor Converter enters DCM when inductor current reaches zero find critical Io? 6
27 CCM Buck-Boost Output voltage ripple Use capacitor charge Q DTI V o c V V c find v c (t)? o DTV CR D RCf o 7
28 DCM Buck-Boost Converter Mode : S off Mode : 0 DT Mode : Mode 3: i () t 0 i () t I c o Mode : S on Mode 3: S & D off DT D T D T T Switch and diode voltage stress= Vin + Vo 8
29 ( ) Vin I DT DT from mode Vo I( DT ) 0 ( DD) T I( DT) from mode Using the above two equations, or using volt-second balance Vin DT Vo( D D) T 0 Vo D Vin D D 9
30 Solve for M I Davg, I ( DT ) ( D D ) T VinD( D ) Vo I o R T Vo R DD ( DT ) () Vin D M D D ( D D) M D DM D( M) D D( ) () M Substitute eq. in eq. M D n n RT D T 0
31 DCM Buck-Boost output voltage ripple I I I ( D D) T t DT t max max o DT ( I max Io)( D D) T I max Q ( tdt )( Imax Io ) ( I max Io) ( D D) T Vc C I D I max D( ) M Vin DT max Triangles similarity I max i c I o I o v c V o t t
32 Buck Converter Analysis: ipes Examples for Buck DCM DC/DC-Converter Basic Topologies Buck-Converter - () Buck-Converter - () Buck-Converter - (3) Buck-Converter: Start-Up with Constant Duty Cycle
33 Buck Converter Analysis: Simulation Verification Example-Buck DCM
34 Buck Converter Analysis: Simulation Verification Example-Buck DCM
35 Buck Converter Analysis: Simulation Verification Example-Buck DCM
36 Buck Converter Analysis: Simulation Verification Example-Buck DCM
37 Buck Converter Analysis: Simulation Verification Example-Buck DCM
38 Buck Converter Analysis: Simulation Verification Example-Buck DCM 0V.0V 0V.0V -0V 5.0A V(:,:) 9.880m,6.4896u) SE>> 0V.0A V(Gate).5A (9.894m,5.685m) 0A SE>> -.0A (9.890m,3.006) ms ms 9.95ms I() Time -.0A 9.89ms 9.90ms 9.9ms 9.9ms 9.93ms I(Cf) Time
39 Buck Converter Analysis: Simulation Verification Example-Buck DCM 6V 5V 4V 0V (0.000,4.048) 5V SE>> V.50A V(Road:) SE>> 0V.0A V(Road:).5A.0A.00A 9.89ms 9.90ms 9.9ms 9.9ms 9.93ms I(Road) Time 0A 0Hz 40KHz 80KHz 8KHz I(Road) Frequency
40 Example 4.-BuckBoost Consider a buck-boost converter with the following values: Vo=V, Pout=5W, Vin=0V and ƒ=00khz. (a) Design the above converter so that it will operate in ccm (b) Repeat part (a) for dcm, (c) Find the maximum inductor current under both ccm and dcm (d) If the load resistance increases by 50% (i.e. the load current changes.08a to.39a) determine the mode of operation for the two converters and then the maximum inductor current (e) Sketch the new inductor currents derived from part (e.)
41 Example 4.-BuckBoost V o := V in := 0 P o := 5 f := T s := f (a) For CCM R := V o P o R = 5.76 crit := R T s ( D) 0 D D D :=.375 T s = 0 5 D T s = solve, D.375 float, 3 crit = Chose higher than crit for CCM :=. 0 3 Note-This is an arbitrary assignment that puts us into CCM mode. Since in CCM M is independent of, we do not effect the conversion ratio so long as >crit. The value of chosen does effect ripple current in the inductor though.
42 Example 4.-BuckBoost (b) For DCM Chose to less than crit := τ n := R T s M D τ n τ n = D := 0 τ n D = 0.5 M D D D solve, D 3
43 Example 4.-BuckBoost (c) For CCM :=. 0 3 D :=.375 i max D V in V in D T s D V in := R ( D) + i min := R ( D) V in D T s i max = i min =.958 (c) For DCM := D :=.5 i max := V in i max = 0 D T s
44 Example 4.-BuckBoost (d) Assume load resistance increase by 50% Assume Vo remains at V and Po Changes R := D :=.375 R = 8.64 crit := R T s ( D) crit = P := V o R P = With at.mh, we are still in CCM for our original CCM design :=. 0 3 D :=.375 i max D V in V in D T s D V in := R ( D) + i min := R ( D) V in D T s i max =.597 i min =.847
45 Example 4.-BuckBoost For our original DCM design, reducing the load current moves us deeper into DCM (b) For DCM Chose to less than crit := D R M τ n := T τ s n τ n = D := 0 τ n M D D D D = 0.04 solve, D i max := V in i max = 8.65 D T s
46 Example 4.-BuckBoost Simulation CCM Original (R=5.76)
47 Example 4.-BuckBoost Simulation CCM Original (R=5.76) 0V 4.0A -5V 3.6A -0V 3.A -5V -0V 0s 5ms 0ms 5ms V(Output) Time 4.0.8A 4.980ms 4.985ms 4.990ms 4.995ms -I() Time ms 4.985ms 4.990ms 4.995ms V(Gate) -I() Time
48 Example 4.-BuckBoost Simulation DCM Original (R=5.76)
49 Example 4.-BuckBoost Simulation DCM Original (R=5.76) 0V -5V 8 4-0V 0-5V 0s 5ms 0ms 5ms V(Output) Time ms 4.985ms 4.990ms 4.995ms -I() V(Gate) Time
50 Example 4.-BuckBoost Simulation CCM New (R=8.64)
51 Example 4.-BuckBoost Simulation CCM New (R=8.64) 0V.6A -5V.4A -0V.A -5V.0A -0V 0s 5ms 0ms 5ms V(Output) Time.8A 4.980ms 4.985ms 4.990ms 4.995ms -I() Time
52 Example 4.-BuckBoost Simulation DCM New (R=8.64)
53 Example 4.-BuckBoost Simulation DCM New (R=8.64) 5V 0A 0V 5A -5V -0V 0A -5V 0s 5ms 0ms 5ms V(Output) Time -5A 4.980ms 4.985ms 4.990ms 4.995ms -I() Time
ET4119 Electronic Power Conversion 2011/2012 Solutions 27 January 2012
ET4119 Electronic Power Conversion 2011/2012 Solutions 27 January 2012 1. In the single-phase rectifier shown below in Fig 1a., s = 1mH and I d = 10A. The input voltage v s has the pulse waveform shown
Chapter 11 AC and DC Equivalent Circuit Modeling of the Discontinuous Conduction Mode
Chapter 11 AC and DC Equivalent Circuit Modeling of the Discontinuous Conduction Mode Introduction 11.1. DCM Averaged Switch Model 11.2. Small-Signal AC Modeling of the DCM Switch Network 11.3. High-Frequency
LECTURE 8 Fundamental Models of Pulse-Width Modulated DC-DC Converters: f(d)
1 ECTURE 8 Fundamental Models of Pulse-Width Modulated DC-DC Converters: f(d) I. Quasi-Static Approximation A. inear Models/ Small Signals/ Quasistatic I V C dt Amp-Sec/Farad V I dt Volt-Sec/Henry 1. Switched
6.3. Transformer isolation
6.3. Transformer isolation Objectives: Isolation of input and output ground connections, to meet safety requirements eduction of transformer size by incorporating high frequency isolation transformer inside
R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder
R. W. Erickson Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder Sampled-data response: i L /i c Sampled-data transfer function : î L (s) î c (s) = (1 ) 1 e st
Cross Regulation Mechanisms in Multiple-Output Forward and Flyback Converters
Cross Regulation Mechanisms in Multiple-Output Forward and Flyback Converters Bob Erickson and Dragan Maksimovic Colorado Power Electronics Center (CoPEC) University of Colorado, Boulder 80309-0425 http://ece-www.colorado.edu/~pwrelect
R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder
. W. Erickson Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder 2.4 Cuk converter example L 1 C 1 L 2 Cuk converter, with ideal switch i 1 i v 1 2 1 2 C 2 v 2 Cuk
Converter System Modeling via MATLAB/Simulink
Converter System Modeling via MATLAB/Simulink A powerful environment for system modeling and simulation MATLAB: programming and scripting environment Simulink: block diagram modeling environment that runs
Power Electronics
Prof. Dr. Ing. Joachim Böcker Power Electronics 3.09.06 Last Name: Student Number: First Name: Study Program: Professional Examination Performance Proof Task: (Credits) (0) (0) 3 (0) 4 (0) Total (80) Mark
Chapter 3. Steady-State Equivalent Circuit Modeling, Losses, and Efficiency
Chapter 3. Steady-State Equivalent Circuit Modeling, Losses, and Efficiency 3.1. The dc transformer model 3.2. Inclusion of inductor copper loss 3.3. Construction of equivalent circuit model 3.4. How to
R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder
. W. Erickson Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder Part II" Converter Dynamics and Control! 7.!AC equivalent circuit modeling! 8.!Converter transfer
Generalized Analysis for ZCS
Generalized Analysis for ZCS The QRC cells (ZCS and ZS) analysis, including the switching waveforms, can be generalized, and then applies to each converter. nstead of analyzing each QRC cell (L-type ZCS,
Sliding-Mode Control of the DC-DC Ćuk Converter in Discontinuous Conduction Mode
Sliding-Mode Control of the DC-DC Ćuk Converter in Discontinuous Conduction Mode Vadood Hajbani, Mahdi Salimi 2 Department of Electrical Engineering, Ahar Branch, Islamic Azad University, Ahar, Iran. Email:
Teaching of Switch-Mode Power Electronics Using A Building-Block Approach, Assisted by PSpice Modeling
Teaching of SwitchMode Power Electronics Using BuildingBlock pproach, ssisted by PSpice Modeling [, 2] Ned Mohan Email: mohan@ece.umn.edu Department of ECE University of Minnesota Minneapolis, MN 55455
LECTURE 44 Averaged Switch Models II and Canonical Circuit Models
ETUE 44 Averaged Switch Models II and anonical ircuit Models A Additional Averaged ossless Switch Models 1 Single Transformer ircuits a buck b boost 2 Double ascade Transformer Models: a Buck Boost b Flyback
Lecture 12 - Non-isolated DC-DC Buck Converter
ecture 12 - Non-iolated DC-DC Buck Converter Step-Down or Buck converter deliver DC power from a higher voltage DC level ( d ) to a lower load voltage o. d o ene ref + o v c Controller Figure 12.1 The
Estimation of Circuit Component Values in Buck Converter using Efficiency Curve
ISPACS2017 Paper 2017 ID 21 Nov. 9 NQ-L5 Paper ID 21, Estimation of Circuit Component Values in Buck Converter using Efficiency Curve S. Sakurai, N. Tsukiji, Y. Kobori, H. Kobayashi Gunma University 1/36
Chapter 7 DC-DC Switch-Mode Converters
Chapter 7 DC-DC Switch-Mode Converters dc-dc converters for switch-mode dc power supplies and dc-motor drives 7-1 Block Diagram of DC-DC Converters Functional block diagram 7-2 Stepping Down a DC Voltage
ANALYSIS OF SMALL-SIGNAL MODEL OF A PWM DC-DC BUCK-BOOST CONVERTER IN CCM.
ANALYSIS OF SMALL-SIGNAL MODEL OF A PWM DC-DC BUCK-BOOST CONVERTER IN CCM. A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science in Engineering By Julie J. Lee
Computationally efficient models for simulation of non-ideal DC DC converters operating in continuous and discontinuous conduction modes
Sādhanā Vol. 40, Part 7, October 2015, pp. 2045 2072. c Indian Academy of Sciences Computationally efficient models for simulation of non-ideal DC DC converters operating in continuous and discontinuous
LECTURE 12 Lossy Converters (Static State Losses but Neglecting Switching Losses) HW #2 Erickson Chapter 3 Problems 6 & 7 A.
ETUE 12 ossy onverters (Static State osses but Neglecting Switching osses) HW #2 Erickson hapter 3 Problems 6 & 7 A. General Effects Expected: (load) as (load) B. Switch and esistive osses hange M(D) Modified
Lecture 17 Push-Pull and Bridge DC-DC converters Push-Pull Converter (Buck Derived) Centre-tapped primary and secondary windings
ecture 17 Push-Pull and Bridge DC-DC converters Push-Pull Converter (Buck Derived) Centre-tapped primary and secondary windings 1 2 D 1 i v 1 v 1s + v C o R v 2 v 2s d 1 2 T 1 T 2 D 2 Figure 17.1 v c (
Project Components. MC34063 or equivalent. Bread Board. Energy Systems Research Laboratory, FIU
Project Components MC34063 or equivalent Bread Board PSpice Software OrCAD designer Lite version http://www.cadence.com/products/orcad/pages/downloads.aspx#pspice More Details on the Introduction CONVERTER
Electrical Circuits (2)
Electrical Circuits (2) Lecture 7 Transient Analysis Dr.Eng. Basem ElHalawany Extra Reference for this Lecture Chapter 16 Schaum's Outline Of Theory And Problems Of Electric Circuits https://archive.org/details/theoryandproblemsofelectriccircuits
Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:
Serial : ND_EE_NW_Analog Electronics_05088 Delhi Noida Bhopal Hyderabad Jaipur Lucknow ndore Pune Bhubaneswar Kolkata Patna Web: E-mail: info@madeeasy.in Ph: 0-4546 CLASS TEST 08-9 ELECTCAL ENGNEENG Subject
Chapter 8: Converter Transfer Functions
Chapter 8. Converter Transfer Functions 8.1. Review of Bode plots 8.1.1. Single pole response 8.1.2. Single zero response 8.1.3. Right half-plane zero 8.1.4. Frequency inversion 8.1.5. Combinations 8.1.6.
Figure Circuit for Question 1. Figure Circuit for Question 2
Exercises 10.7 Exercises Multiple Choice 1. For the circuit of Figure 10.44 the time constant is A. 0.5 ms 71.43 µs 2, 000 s D. 0.2 ms 4 Ω 2 Ω 12 Ω 1 mh 12u 0 () t V Figure 10.44. Circuit for Question
Conduction Modes of a Peak Limiting Current Mode Controlled Buck Converter
Conduction Modes of a Peak Limiting Current Mode Controlled Buck Converter Predrag Pejović and Marija Glišić Abstract In this paper, analysis of a buck converter operated applying a peak limiting current
Part II Converter Dynamics and Control
Part II Converter Dynamics and Control 7. AC equivalent circuit modeling 8. Converter transfer functions 9. Controller design 10. Ac and dc equivalent circuit modeling of the discontinuous conduction mode
R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder
. W. Erickson Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder 8.1.7. The low-q approximation Given a second-order denominator polynomial, of the form G(s)= 1
First-order transient
EIE209 Basic Electronics First-order transient Contents Inductor and capacitor Simple RC and RL circuits Transient solutions Constitutive relation An electrical element is defined by its relationship between
REACTANCE. By: Enzo Paterno Date: 03/2013
REACTANCE REACTANCE By: Enzo Paterno Date: 03/2013 5/2007 Enzo Paterno 1 RESISTANCE - R i R (t R A resistor for all practical purposes is unaffected by the frequency of the applied sinusoidal voltage or
ECE1750, Spring 2018 Week Buck Converter
ECE1750, Sprg 018 Week 5 Buck Converter 1 Objective to efficiently reduce DC voltage The DC equivalent of an AC transformer I I + + DC DC Buck Converter ossless objective: P = P, which means that I = I
Lecture 46 Bode Plots of Transfer Functions:II A. Low Q Approximation for Two Poles w o
Lecture 46 Bode Plots of Transfer Functions:II A. Low Q Approximation for Two Poles w o ----------- ----------- w L =Q - w o πf o w h =Qw o w L ~ RC w h w L f(l) w h f(c) B. Construction from T(s) Asymptotes
ECE1750, Spring Week 11 Power Electronics
ECE1750, Spring 2017 Week 11 Power Electronics Control 1 Power Electronic Circuits Control In most power electronic applications we need to control some variable, such as the put voltage of a dc-dc converter,
R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder
R. W. Erickson Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder 1.. Averaged switch modeling with the simple approximation i 1 (t) i (t) i (t) v g (t) v 1 (t)
R. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder
. W. Erickson Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder Objective of Part II! Develop tools for modeling, analysis, and design of converter control systems!
San Jose State University Department of Electrical Engineering. Exam 2 Solution. EE 098-MIT 6.002x Fall 2012
San Jose State University Department of Electrical Engineering Exam Solution EE 98-MIT 6.x Fall 1 losed Book, losed Notes, and no electronic devices. Instructions: There are six problems. Interpretation
Regulated DC-DC Converter
Regulated DC-DC Converter Zabir Ahmed Lecturer, BUET Jewel Mohajan Lecturer, BUET M A Awal Graduate Research Assistant NSF FREEDM Systems Center NC State University Former Lecturer, BUET 1 Problem Statement
Physics 2B Spring 2010: Final Version A 1 COMMENTS AND REMINDERS:
Physics 2B Spring 2010: Final Version A 1 COMMENTS AND REMINDERS: Closed book. No work needs to be shown for multiple-choice questions. 1. A charge of +4.0 C is placed at the origin. A charge of 3.0 C
Examination paper for TFY4185 Measurement Technique/ Måleteknikk
Page 1 of 14 Department of Physics Examination paper for TFY4185 Measurement Technique/ Måleteknikk Academic contact during examination: Patrick Espy Phone: +47 41 38 65 78 Examination date: 15 August
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
Modeling Buck Converter by Using Fourier Analysis
PIERS ONLINE, VOL. 6, NO. 8, 2010 705 Modeling Buck Converter by Using Fourier Analysis Mao Zhang 1, Weiping Zhang 2, and Zheng Zhang 2 1 School of Computing, Engineering and Physical Sciences, University
ECE2262 Electric Circuits. Chapter 6: Capacitance and Inductance
ECE2262 Electric Circuits Chapter 6: Capacitance and Inductance Capacitors Inductors Capacitor and Inductor Combinations Op-Amp Integrator and Op-Amp Differentiator 1 CAPACITANCE AND INDUCTANCE Introduces
Electric Circuits. Overview. Hani Mehrpouyan,
Electric Circuits Hani Mehrpouyan, Department of Electrical and Computer Engineering, Lecture 15 (First Order Circuits) Nov 16 th, 2015 Hani Mehrpouyan (hani.mehr@ieee.org) Boise State c 2015 1 1 Overview
EE40 Midterm Review Prof. Nathan Cheung
EE40 Midterm Review Prof. Nathan Cheung 10/29/2009 Slide 1 I feel I know the topics but I cannot solve the problems Now what? Slide 2 R L C Properties Slide 3 Ideal Voltage Source *Current depends d on
Maria Carmela Di Piazza. Gianpaolo Vitale. Photovoltaic Sources. Modeling and Emulation. ^ Springer
Maria Carmela Di Piazza Gianpaolo Vitale Photovoltaic Sources Modeling and Emulation ^ Springer Part I 1 From the Nuclear Fusion to the Radiated Energy on the Earth... 3 1.1 Inside the Universe 3 1.2 The
On backstepping controller Design in buck/boost DC-DC Converter
International Conference on Electrical, Electronics and Civil Engineering (ICEECE'2) Pattaya Dec. 2 On backstepping controller Design in buck/boost DC-DC Converter Adel Zakipour, MahdiSalimi Abstract-In
55:041 Electronic Circuits The University of Iowa Fall Exam 2
Exam 2 Name: Score /60 Question 1 One point unless indicated otherwise. 1. An engineer measures the (step response) rise time of an amplifier as t r = 0.35 μs. Estimate the 3 db bandwidth of the amplifier.
Topic 4. The CMOS Inverter
Topic 4 The CMOS Inverter Peter Cheung Department of Electrical & Electronic Engineering Imperial College London URL: www.ee.ic.ac.uk/pcheung/ E-mail: p.cheung@ic.ac.uk Topic 4-1 Noise in Digital Integrated
Designing an LLC Resonant Half-Bridge Power Converter
Topic 3 Designing an LLC Resonant Half-Bridge Power Converter Hong Huang Agenda. Introduction Brief review Advantages 2. Design Prerequisites Configuration Operation Modeling Voltage gain function 3. Design
EE 3120 Electric Energy Systems Study Guide for Prerequisite Test Wednesday, Jan 18, pm, Room TBA
EE 3120 Electric Energy Systems Study Guide for Prerequisite Test Wednesday, Jan 18, 2006 6-7 pm, Room TBA First retrieve your EE2110 final and other course papers and notes! The test will be closed book
PHYSICS 171 UNIVERSITY PHYSICS LAB II. Experiment 6. Transient Response of An RC Circuit
PHYSICS 171 UNIVERSITY PHYSICS LAB II Experiment 6 Transient Response of An RC Circuit Equipment: Supplies: Function Generator, Dual Trace Oscilloscope.002 Microfarad, 0.1 Microfarad capacitors; 1 Kilohm,
7.3 State Space Averaging!
7.3 State Space Averaging! A formal method for deriving the small-signal ac equations of a switching converter! Equivalent to the modeling method of the previous sections! Uses the state-space matrix description
The Pennsylvania State University. The Graduate School. Department of Electrical Engineering ANALYSIS OF DC-TO-DC CONVERTERS
The Pennsylvania State University The Graduate School Department of Electrical Engineering ANALYSIS OF DC-TO-DC CONVERTERS AS DISCRETE-TIME PIECEWISE AFFINE SYSTEMS A Thesis in Electrical Engineering by
I R TECHNICAL RESEARCH REPORT. Poles and Zeros for Sampled-Data Duty-Ratio-to-Output Dynamics of Buck and Boost Converters. by C.-C. Fang T.R.
TECHNICAL RESEARCH REPORT Poles and Zeros for Sampled-Data Duty-Ratio-to-Output Dynamics of Buck and Boost Converters by C.-C. Fang T.R. 99-6 I R INSTITUTE FOR SYSTEMS RESEARCH ISR develops, applies and
ECE2262 Electric Circuits. Chapter 1: Basic Concepts. Overview of the material discussed in ENG 1450
ECE2262 Electric Circuits Chapter 1: Basic Concepts Overview of the material discussed in ENG 1450 1 Circuit Analysis 2 Lab -ECE 2262 3 LN - ECE 2262 Basic Quantities: Current, Voltage, Energy, Power The
ELECTRONICS E # 1 FUNDAMENTALS 2/2/2011
FE Review 1 ELECTRONICS E # 1 FUNDAMENTALS Electric Charge 2 In an electric circuit it there is a conservation of charge. The net electric charge is constant. There are positive and negative charges. Like
Averaged dynamics of a coupled-inductor boost converter under sliding mode control using a piecewise linear complementarity model
IMA Journal of Applied Mathematics (5) Page of doi:.93/imamat/dri7 Averaged dynamics of a coupledinductor boost converter under sliding mode control using a piecewise linear complementarity model NILIANA
Alternating Current Circuits. Home Work Solutions
Chapter 21 Alternating Current Circuits. Home Work s 21.1 Problem 21.11 What is the time constant of the circuit in Figure (21.19). 10 Ω 10 Ω 5.0 Ω 2.0µF 2.0µF 2.0µF 3.0µF Figure 21.19: Given: The circuit
Introduction to AC Circuits (Capacitors and Inductors)
Introduction to AC Circuits (Capacitors and Inductors) Amin Electronics and Electrical Communications Engineering Department (EECE) Cairo University elc.n102.eng@gmail.com http://scholar.cu.edu.eg/refky/
Consider a simple RC circuit. We might like to know how much power is being supplied by the source. We probably need to find the current.
AC power Consider a simple RC circuit We might like to know how much power is being supplied by the source We probably need to find the current R 10! R 10! is VS Vmcosωt Vm 10 V f 60 Hz V m 10 V C 150
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
ENGR-4300 Spring 2009 Test 2. Name: SOLUTION. Section: 1(MR 8:00) 2(TF 2:00) 3(MR 6:00) (circle one) Question I (20 points): Question II (20 points):
ENGR43 Test 2 Spring 29 ENGR43 Spring 29 Test 2 Name: SOLUTION Section: 1(MR 8:) 2(TF 2:) 3(MR 6:) (circle one) Question I (2 points): Question II (2 points): Question III (17 points): Question IV (2 points):
Control Systems Engineering (Chapter 2. Modeling in the Frequency Domain) Prof. Kwang-Chun Ho Tel: Fax:
Control Systems Engineering (Chapter 2. Modeling in the Frequency Domain) Prof. Kwang-Chun Ho kwangho@hansung.ac.kr Tel: 02-760-4253 Fax:02-760-4435 Overview Review on Laplace transform Learn about transfer
EXPERIMENT 07 TO STUDY DC RC CIRCUIT AND TRANSIENT PHENOMENA
EXPERIMENT 07 TO STUDY DC RC CIRCUIT AND TRANSIENT PHENOMENA DISCUSSION The capacitor is a element which stores electric energy by charging the charge on it. Bear in mind that the charge on a capacitor
Electronic Power Conversion
Electronic Power Conersion Switch Moe DC-DC Conerters with Isolation Challenge the future Switch moe c-c conerters Frequent requirements: regulate output isolation (safety) multiple outputs Solutions:
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
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science Circuits & Electronics Spring 2007.
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.002 Circuits & Electronics Spring 2007 Quiz #2 25 April 2007 Name: There are 20 pages in this quiz, including
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
Solution to Tutorial 5 Isolated DC-DC Converters & Inverters
ELEC464 University of New South Wales School of Electrical Engineering & Telecommunications Solution to Tutorial 5 Isolated DC-DC Converters & Inverters. i D O d T The maximum value of L m which will ensure
HighpowerfactorforwardAC-DC converter with low storage capacitor voltage stress
HAIT Journal of Science and Engineering B, Volume 2, Issues 3-4, pp. 305-326 Copyright C 2005 Holon Academic Institute of Technology HighpowerfactorforwardAC-DC converter with low storage capacitor voltage
2005 AP PHYSICS C: ELECTRICITY AND MAGNETISM FREE-RESPONSE QUESTIONS
2005 AP PHYSICS C: ELECTRICITY AND MAGNETISM In the circuit shown above, resistors 1 and 2 of resistance R 1 and R 2, respectively, and an inductor of inductance L are connected to a battery of emf e and
Design Engineering MEng EXAMINATIONS 2016
IMPERIAL COLLEGE LONDON Design Engineering MEng EXAMINATIONS 2016 For Internal Students of the Imperial College of Science, Technology and Medicine This paper is also taken for the relevant examination
EE221 - Practice for the Midterm Exam
EE1 - Practice for the Midterm Exam 1. Consider this circuit and corresponding plot of the inductor current: Determine the values of L, R 1 and R : L = H, R 1 = Ω and R = Ω. Hint: Use the plot to determine
OPAMPs I: The Ideal Case
I: The Ideal Case The basic composition of an operational amplifier (OPAMP) includes a high gain differential amplifier, followed by a second high gain amplifier, followed by a unity gain, low impedance,
THE MULTI INPUT-MULTI OUTPUT STATE SPACE AVERAGE MODEL OF KY BUCK-BOOST CONVERTER INCLUDING ALL
THE MUTI INPUT-MUTI OUTPUT STATE SPACE AVERAGE MODE OF KY BUCK-BOOST CONVERTER INCUDING A OF THE SYSTEM PARAMETERS Mohammad Reza Modabbernia 1, Seyedeh Shia Nejati 2 & Fatemeh Kohani Khoshkbijari 3 1 Electrical
Basic Electronics. Introductory Lecture Course for. Technology and Instrumentation in Particle Physics Chicago, Illinois June 9-14, 2011
Basic Electronics Introductory Lecture Course for Technology and Instrumentation in Particle Physics 2011 Chicago, Illinois June 9-14, 2011 Presented By Gary Drake Argonne National Laboratory drake@anl.gov
Lab 4 RC Circuits. Name. Partner s Name. I. Introduction/Theory
Lab 4 RC Circuits Name Partner s Name I. Introduction/Theory Consider a circuit such as that in Figure 1, in which a potential difference is applied to the series combination of a resistor and a capacitor.
Review of Basic Electrical and Magnetic Circuit Concepts EE
Review of Basic Electrical and Magnetic Circuit Concepts EE 442-642 Sinusoidal Linear Circuits: Instantaneous voltage, current and power, rms values Average (real) power, reactive power, apparent power,
RLC Series Circuit. We can define effective resistances for capacitors and inductors: 1 = Capacitive reactance:
RLC Series Circuit In this exercise you will investigate the effects of changing inductance, capacitance, resistance, and frequency on an RLC series AC circuit. We can define effective resistances for
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
EE 40: Introduction to Microelectronic Circuits Spring 2008: Midterm 2
EE 4: Introduction to Microelectronic Circuits Spring 8: Midterm Venkat Anantharam 3/9/8 Total Time Allotted : min Total Points:. This is a closed book exam. However, you are allowed to bring two pages
Modeling, Analysis and Control of an Isolated Boost Converter for System Level Studies
1 Modeling, Analysis and Control of an Isolated Boost Converter for System Level Studies Bijan Zahedi, Student Member, IEEE, and Lars E. Norum, Senior Member, IEEE Abstract-- This paper performs a modeling
ECE 201 Fall 2009 Final Exam
ECE 01 Fall 009 Final Exam December 16, 009 Division 0101: Tan (11:30am) Division 001: Clark (7:30 am) Division 0301: Elliott (1:30 pm) Instructions 1. DO NOT START UNTIL TOLD TO DO SO.. Write your Name,
ECE 241L Fundamentals of Electrical Engineering. Experiment 5 Transient Response
ECE 241L Fundamentals of Electrical Engineering Experiment 5 Transient Response NAME PARTNER A. Objectives: I. Learn how to use the function generator and oscilloscope II. Measure step response of RC and
Electrical Engineering Fundamentals for Non-Electrical Engineers
Electrical Engineering Fundamentals for Non-Electrical Engineers by Brad Meyer, PE Contents Introduction... 3 Definitions... 3 Power Sources... 4 Series vs. Parallel... 9 Current Behavior at a Node...
Unified Steady-state Computer Aided Model For Soft-switching DC-DC Converters
University of Central Florida Electronic Theses and Dissertations asters Thesis (Open Access) Unified Steadystate Computer Aided odel For Softswitching DCDC Converters 26 Wisam AlHoor University of Central
EECE 2150 Circuits and Signals Final Exam Fall 2016 Dec 16
EECE 2150 Circuits and Signals Final Exam Fall 2016 Dec 16 Instructions: Write your name and section number on all pages Closed book, closed notes; Computers and cell phones are not allowed You can use
Lecture 7: September 19th, The following slides were derived from those prepared by Professor Oldham for EE40 in Fall 01. Version Date 9/19/01
EES Intro. electronics for S Fall Lecture 7: September 9th, Lecture 7: 9/9/ A.. Neureuther Version Date 9/9/ harging and Discharging of ircuits (Transients) A) Mathematical Method B) EE Easy Method ) Logic
Exercise 2: Power Factor
Power in AC Circuits AC 2 Fundamentals Exercise 2: Power Factor EXERCISE OBJECTIVE When you have completed this exercise, you will be able to determine the power factor of ac circuits by using standard
Lab #4 Capacitors and Inductors. Capacitor Transient and Steady State Response
Capacitor Transient and Steady State Response Like resistors, capacitors are also basic circuit elements. Capacitors come in a seemingly endless variety of shapes and sizes, and they can all be represented
The Usage of the Digital Controller in Regulating Boost Converter
Circuits and Systems, 205, 6, 268-279 Published Online December 205 in SciRes. http://www.scirp.org/journal/cs http://dx.doi.org/0.4236/cs.205.62027 The Usage of the Digital Controller in Regulating Boost
The output voltage is given by,
71 The output voltage is given by, = (3.1) The inductor and capacitor values of the Boost converter are derived by having the same assumption as that of the Buck converter. Now the critical value of the
AC Circuits Homework Set
Problem 1. In an oscillating LC circuit in which C=4.0 μf, the maximum potential difference across the capacitor during the oscillations is 1.50 V and the maximum current through the inductor is 50.0 ma.
Section 5 Dynamics and Control of DC-DC Converters
Section 5 Dynamics and ontrol of D-D onverters 5.2. Recap on State-Space Theory x Ax Bu () (2) yxdu u v d ; y v x2 sx () s Ax() s Bu() s ignoring x (0) (3) ( si A) X( s) Bu( s) (4) X s si A BU s () ( )
Switched Capacitor DC/DC Marx Converter Loss Models Advanced Power Electronics Final Project FT08
Switched Capacitor DC/DC Marx Converter Loss Models 6.987 Advanced Power Electronics Final Project FT08 July 14, 2010 John J. Cooley Massachusetts Institute of Technology 1 Introduction The primary goal
Chapter 33. Alternating Current Circuits
Chapter 33 Alternating Current Circuits 1 Capacitor Resistor + Q = C V = I R R I + + Inductance d I Vab = L dt AC power source The AC power source provides an alternative voltage, Notation - Lower case
Parasitic Capacitance E qoss Loss Mechanism, Calculation, and Measurement in Hard-Switching for GaN HEMTs
Parasitic Capacitance E qoss Loss Mechanism, Calculation, and Measurement in Hard-Switching for GaN HEMTs Ruoyu Hou, Juncheng Lu, and Di Chen GaN Systems Inc. 1 Agenda 1. Introduction 2. E qoss loss mechanism
MOS Amplifiers Dr. Lynn Fuller Webpage:
ROCHESTER INSTITUTE OF TECHNOLOGY MICROELECTRONIC ENGINEERING Dr. Lynn Fuller Webpage: http://people.rit.edu/lffeee 82 Lomb Memorial Drive Rochester, NY 14623-5604 Email: Lynn.Fuller@rit.edu Department