Chapter 3. SteadyState Equivalent Circuit Modeling, Losses, and Efficiency


 Rosanna Malone
 2 years ago
 Views:
Transcription
1 Chapter 3. SteadyState 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 obtain the input port of the model 3.5. Example: inclusion of semiconductor conduction losses in the boost converter model 3.6. Summary of key points Fundamentals of Power Electronics 1 Chapter 3: Steadystate equivalent circuit modeling,...
2 3.1. The dc transformer model Basic equations of an ideal dcdc converter: P in = P out I g = I (η = 100%) Power input I g Switching dcdc converter I Power output = M(D) I g = M(D) I (ideal conversion ratio) D Control input These equations are valid in steadystate. During transients, energy storage within filter elements may cause P in P out Fundamentals of Power Electronics 2 Chapter 3: Steadystate equivalent circuit modeling,...
3 Equivalent circuits corresponding to ideal dcdc converter equations P in = P out I g = I = M(D) I g = M(D) I Dependent sources DC transformer Power input I g M(D)I M(D) I Power output Power input I g 1 : M(D) I Power output D Control input Fundamentals of Power Electronics 3 Chapter 3: Steadystate equivalent circuit modeling,...
4 The DC transformer model Power input I g 1 : M(D) I Power output Models basic properties of ideal dcdc converter: conversion of dc voltages and currents, ideally with 100% efficiency D Control input conversion ratio M controllable via duty cycle Solid line denotes ideal transformer model, capable of passing dc voltages and currents Timeinvariant model (no switching) which can be solved to find dc components of converter waveforms Fundamentals of Power Electronics 4 Chapter 3: Steadystate equivalent circuit modeling,...
5 Example: use of the DC transformer model 1. Original system 3. Push source through transformer 1 1 Switching dcdc converter M(D) 1 M 2 (D) 1 2. Insert dc transformer model D 4. Solve circuit 1 1 : M(D) = M(D) 1 M 2 (D) 1 1 Fundamentals of Power Electronics 5 Chapter 3: Steadystate equivalent circuit modeling,...
6 3.2. Inclusion of inductor copper loss Dc transformer model can be extended, to include converter nonidealities. Example: inductor copper loss (resistance of winding): L L Insert this inductor model into boost converter circuit: L i L 1 C 2 v Fundamentals of Power Electronics 6 Chapter 3: Steadystate equivalent circuit modeling,...
7 Analysis of nonideal boost converter L i L 1 C 2 v switch in position 1 switch in position 2 i L L v L i C i L L v L i C C v C v Fundamentals of Power Electronics 7 Chapter 3: Steadystate equivalent circuit modeling,...
8 Circuit equations, switch in position 1 Inductor current and capacitor voltage: i L L v L i C v L (t)= i(t) L i C (t)=v(t)/ C v Small ripple approximation: v L (t)= I L i C (t)= / Fundamentals of Power Electronics 8 Chapter 3: Steadystate equivalent circuit modeling,...
9 Circuit equations, switch in position 2 i L L v L i C C v v L (t)= i(t) L v(t) I L i C (t)=i(t)v(t)/ I / Fundamentals of Power Electronics 9 Chapter 3: Steadystate equivalent circuit modeling,...
10 Inductor voltage and capacitor current waveforms Average inductor voltage: v L (t) I L T s v L (t) = T 1 v L (t)dt s 0 = D( I L )D'( I L ) DT s D'T s I L t Inductor voltsecond balance: 0= I L D' i C (t) I / Average capacitor current: i C (t) = D ( / )D'(I / ) Capacitor charge balance: 0=D'I / / t Fundamentals of Power Electronics 10 Chapter 3: Steadystate equivalent circuit modeling,...
11 Solution for output voltage We now have two equations and two unknowns: L / = 0 L / = = I L D' 3.5 0=D'I / 3 L / = 0.02 Eliminate I and solve for : / L / = 0.05 = 1 D' 1 (1 L / D' 2 ) L / = D Fundamentals of Power Electronics 11 Chapter 3: Steadystate equivalent circuit modeling,...
12 3.3. Construction of equivalent circuit model esults of previous section (derived via inductor voltsec balance and capacitor charge balance): v L i C =0= I L D' =0=D'I / iew these as loop and node equations of the equivalent circuit. econstruct an equivalent circuit satisfying these equations Fundamentals of Power Electronics 12 Chapter 3: Steadystate equivalent circuit modeling,...
13 Inductor voltage equation v L =0= I L D' L L Derived via Kirchhoff s voltage law, to find the inductor voltage during each subinterval Average inductor voltage then set to zero This is a loop equation: the dc components of voltage around a loop containing the inductor sum to zero v L = 0 I I L I L term: voltage across resistor of value L having current I D term: for now, leave as dependent source D' Fundamentals of Power Electronics 13 Chapter 3: Steadystate equivalent circuit modeling,...
14 Capacitor current equation i C =0=D'I / Node Derived via Kirchoff s current law, to find the capacitor current during each subinterval Average capacitor current then set to zero This is a node equation: the dc components of current flowing into a node connected to the capacitor sum to zero D'I i C = 0 C / term: current through load resistor of value having voltage D I term: for now, leave as dependent source / Fundamentals of Power Electronics 14 Chapter 3: Steadystate equivalent circuit modeling,...
15 Complete equivalent circuit The two circuits, drawn together: L I D' D'I The dependent sources are equivalent to a D : 1 transformer: L D' : 1 I Dependent sources and transformers I 1 n 2 ni 1 n : 1 I sources have same coefficient reciprocal voltage/current dependence Fundamentals of Power Electronics 15 Chapter 3: Steadystate equivalent circuit modeling,...
16 Solution of equivalent circuit Converter equivalent circuit I L D' : 1 efer all elements to transformer secondary: L /D' 2 D'I g /D' Solution for output voltage using voltage divider formula: = D' = L D' 2 D' 1 1 L D' 2 Fundamentals of Power Electronics 16 Chapter 3: Steadystate equivalent circuit modeling,...
17 Solution for input (inductor) current I L D' : 1 I = D' 2 L = D' L D' 2 Fundamentals of Power Electronics 17 Chapter 3: Steadystate equivalent circuit modeling,...
18 Solution for converter efficiency P in =( )(I) I L D' : 1 P out =()(D'I) η = P out P in = ()(D'I) ( )(I) = D' η = 1 1 L D' 2 Fundamentals of Power Electronics 18 Chapter 3: Steadystate equivalent circuit modeling,...
19 Efficiency, for various values of L 100% η = 1 1 L D' 2 90% 80% 70% % 0.05 η 50% L / = % 30% 20% 10% 0% Fundamentals of Power Electronics 19 Chapter 3: Steadystate equivalent circuit modeling,... D
20 3.4. How to obtain the input port of the model Buck converter example use procedure of previous section to derive equivalent circuit i g 1 L L i L v L 2 C v C Average inductor voltage and capacitor current: v L =0=D I L L C i C =0=I L C / Fundamentals of Power Electronics 20 Chapter 3: Steadystate equivalent circuit modeling,...
21 Construct equivalent circuit as usual v L =0=D I L L C i C =0=I L C / L D v L = 0 I L i C = 0 C C / What happened to the transformer? Need another equation Fundamentals of Power Electronics 21 Chapter 3: Steadystate equivalent circuit modeling,...
22 Modeling the converter input port Input current waveform i g (t): i g (t) i L (t) I L 0 area = DT s I L DT s 0 T s t Dc component (average value) of i g (t) is I g = 1 T s 0 T s i g (t) dt = DI L Fundamentals of Power Electronics 22 Chapter 3: Steadystate equivalent circuit modeling,...
23 Input port equivalent circuit I g = 1 T s 0 T s i g (t) dt = DI L I DI g L Fundamentals of Power Electronics 23 Chapter 3: Steadystate equivalent circuit modeling,...
24 Complete equivalent circuit, buck converter Input and output port equivalent circuits, drawn together: I g I L L DI L D C eplace dependent sources with equivalent dc transformer: I g 1 : D I L L C Fundamentals of Power Electronics 24 Chapter 3: Steadystate equivalent circuit modeling,...
25 3.5. Example: inclusion of semiconductor conduction losses in the boost converter model Boost converter example i L i C C v DT s T s Models of onstate semiconductor devices: MOSFET: onresistance on Diode: constant forward voltage D plus onresistance D Insert these models into subinterval circuits Fundamentals of Power Electronics 25 Chapter 3: Steadystate equivalent circuit modeling,...
26 Boost converter example: circuits during subintervals 1 and 2 i L i C C v DT s T s switch in position 1 switch in position 2 i L L v L i C i L L D v L i C D on C v C v Fundamentals of Power Electronics 26 Chapter 3: Steadystate equivalent circuit modeling,...
27 Average inductor voltage and capacitor current v L (t) I L I on DT s D'T s I L D I D t i C (t) I / / t v L = D( I L I on )D'( I L D I D )=0 i C = D(/)D'(I /)=0 Fundamentals of Power Electronics 27 Chapter 3: Steadystate equivalent circuit modeling,...
28 Construction of equivalent circuits I L ID on D' D ID' D D' =0 L Don D' D D' D I L ID on ID' D I D' D'I / =0 / D'I Fundamentals of Power Electronics 28 Chapter 3: Steadystate equivalent circuit modeling,...
29 Complete equivalent circuit L Don D' D D' D I D' D'I L Don D' D D' D D' : 1 I Fundamentals of Power Electronics 29 Chapter 3: Steadystate equivalent circuit modeling,...
30 Solution for output voltage L Don D' D D' D D' : 1 I = 1 D' D' D D' 2 D' 2 L D on D' D = 1 D' 1 D' D 1 1 L D on D' D D' 2 Fundamentals of Power Electronics 30 Chapter 3: Steadystate equivalent circuit modeling,...
31 Solution for converter efficiency P in =( )(I) L Don D' D D' D D' : 1 P out =()(D'I) I η = D' = 1 D' D 1 L D on D' D D' 2 Conditions for high efficiency: /D' > D D' 2 > L D on D' D Fundamentals of Power Electronics 31 Chapter 3: Steadystate equivalent circuit modeling,...
32 Accuracy of the averaged equivalent circuit in prediction of losses Model uses average currents and voltages To correctly predict power loss in a resistor, use rms values esult is the same, provided ripple is small i(t) MOSFET current waveforms, for various ripple magnitudes: I 0 (c) (b) (a) DT s 2 I 1.1 I 0 T s t Inductor current ripple MOS FET rms current Average power loss in on (a) i = 0 (b) i = 0.1 I (c) i = I I D D I 2 on ( ) I D (1.0033) D I 2 on (1.155) I D (1.3333) D I 2 on Fundamentals of Power Electronics 32 Chapter 3: Steadystate equivalent circuit modeling,...
33 Summary of chapter 3 1. The dc transformer model represents the primary functions of any dcdc converter: transformation of dc voltage and current levels, ideally with 100% efficiency, and control of the conversion ratio M via the duty cycle D. This model can be easily manipulated and solved using familiar techniques of conventional circuit analysis. 2. The model can be refined to account for loss elements such as inductor winding resistance and semiconductor onresistances and forward voltage drops. The refined model predicts the voltages, currents, and efficiency of practical nonideal converters. 3. In general, the dc equivalent circuit for a converter can be derived from the inductor voltsecond balance and capacitor charge balance equations. Equivalent circuits are constructed whose loop and node equations coincide with the voltsecond and charge balance equations. In converters having a pulsating input current, an additional equation is needed to model the converter input port; this equation may be obtained by averaging the converter input current. Fundamentals of Power Electronics 33 Chapter 3: Steadystate equivalent circuit modeling,...
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
More information6.3. 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
More informationElements of Power Electronics PART I: Bases
Elements of Power Electronics PART I: Bases Fabrice Frébel (fabrice.frebel@ulg.ac.be) September 21 st, 2017 Goal and expectations The goal of the course is to provide a toolbox that allows you to: understand
More informationR. 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
More informationPart 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
More informationChapter 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. SmallSignal AC Modeling of the DCM Switch Network 11.3. HighFrequency
More informationR. 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!
More informationLECTURE 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
More informationThe 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
More informationBasics of Network Theory (PartI)
Basics of Network Theory (PartI). A square waveform as shown in figure is applied across mh ideal inductor. The current through the inductor is a. wave of peak amplitude. V 0 0.5 t (m sec) [Gate 987: Marks]
More informationChapter 14: Inductor design
Chapter 14 Inductor Design 14.1 Filter inductor design constraints 14.2 A stepbystep design procedure 14.3 Multiplewinding magnetics design using the K g method 14.4 Examples 14.5 Summary of key points
More informationLECTURE 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
More informationGeneralized 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 (Ltype ZCS,
More informationECE1750, 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 dcdc converter,
More informationELECTRONICS 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
More informationR. 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 Chapter 14 Inductor Design 14.1 Filter inductor design constraints 14.2 A stepbystep design procedure
More informationFE Review 2/2/2011. Electric Charge. Electric Energy ELECTRONICS # 1 FUNDAMENTALS
FE eview ELECONICS # FUNDAMENALS Electric Charge 2 In an electric circuit there is a conservation of charge. he net electric charge is constant. here are positive and negative charges. Like charges repel
More informationChapter 7 DCDC SwitchMode Converters
Chapter 7 DCDC SwitchMode Converters dcdc converters for switchmode dc power supplies and dcmotor drives 71 Block Diagram of DCDC Converters Functional block diagram 72 Stepping Down a DC Voltage
More informationET4119 Electronic Power Conversion 2011/2012 Solutions 27 January 2012
ET4119 Electronic Power Conversion 2011/2012 Solutions 27 January 2012 1. In the singlephase rectifier shown below in Fig 1a., s = 1mH and I d = 10A. The input voltage v s has the pulse waveform shown
More informationE40M Review  Part 1
E40M Review Part 1 Topics in Part 1 (Today): KCL, KVL, Power Devices: V and I sources, R Nodal Analysis. Superposition Devices: Diodes, C, L Time Domain Diode, C, L Circuits Topics in Part 2 (Wed): MOSFETs,
More informationR. 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)
More informationPower efficiency and optimum load formulas on RF rectifiers featuring flowangle equations
This article has been accepted and published on JSTAGE in advance of copyediting. Content is final as presented. IEICE Electronics Express, Vol.* No.*,** Power efficiency and optimum load formulas on
More informationENGR 2405 Chapter 8. Second Order Circuits
ENGR 2405 Chapter 8 Second Order Circuits Overview The previous chapter introduced the concept of first order circuits. This chapter will expand on that with second order circuits: those that need a second
More information6.334 Power Electronics Spring 2007
MIT OpenCourseWare http://ocw.mit.edu 6.334 Power Electronics Spring 2007 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. Chapter 1 Introduction and Analysis
More informationRegulated DCDC Converter
Regulated DCDC 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
More informationTransient response of RC and RL circuits ENGR 40M lecture notes July 26, 2017 ChuanZheng Lee, Stanford University
Transient response of C and L circuits ENG 40M lecture notes July 26, 2017 ChuanZheng Lee, Stanford University esistor capacitor (C) and resistor inductor (L) circuits are the two types of firstorder
More information7.3 State Space Averaging!
7.3 State Space Averaging! A formal method for deriving the smallsignal ac equations of a switching converter! Equivalent to the modeling method of the previous sections! Uses the statespace matrix description
More informationBasic RL and RC Circuits RL TRANSIENTS: STORAGE CYCLE. Engineering Collage Electrical Engineering Dep. Dr. Ibrahim Aljubouri
st Class Basic RL and RC Circuits The RL circuit with D.C (steady state) The inductor is short time at Calculate the inductor current for circuits shown below. I L E R A I L E R R 3 R R 3 I L I L R 3 R
More informationOutline. Week 5: Circuits. Course Notes: 3.5. Goals: Use linear algebra to determine voltage drops and branch currents.
Outline Week 5: Circuits Course Notes: 3.5 Goals: Use linear algebra to determine voltage drops and branch currents. Components in Resistor Networks voltage source current source resistor Components in
More informationElectric 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
More informationR. 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 Sampleddata response: i L /i c Sampleddata transfer function : î L (s) î c (s) = (1 ) 1 e st
More information15.1 Transformer Design: Basic Constraints. Chapter 15: Transformer design. Chapter 15 Transformer Design
Chapter 5 Transformer Design Some more advanced design issues, not considered in previous chapter: : n Inclusion of core loss Selection of operating flux density to optimize total loss Multiple winding
More informationEE292: Fundamentals of ECE
EE292: Fundamentals of ECE Fall 2012 TTh 10:0011:15 SEB 1242 Lecture 20 121101 http://www.ee.unlv.edu/~b1morris/ee292/ 2 Outline Chapters 13 Circuit Analysis Techniques Chapter 10 Diodes Ideal Model
More information2.004 Dynamics and Control II Spring 2008
MIT OpenCourseWare http://ocwmitedu 00 Dynamics and Control II Spring 00 For information about citing these materials or our Terms of Use, visit: http://ocwmitedu/terms Massachusetts Institute of Technology
More informationProject 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
More informationAC 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.
More informationIntroduction 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/
More informationSchedule. ECEN 301 Discussion #20 Exam 2 Review 1. Lab Due date. Title Chapters HW Due date. Date Day Class No. 10 Nov Mon 20 Exam Review.
Schedule Date Day lass No. 0 Nov Mon 0 Exam Review Nov Tue Title hapters HW Due date Nov Wed Boolean Algebra 3. 3.3 ab Due date AB 7 Exam EXAM 3 Nov Thu 4 Nov Fri Recitation 5 Nov Sat 6 Nov Sun 7 Nov Mon
More informationECE2262 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
More informationInductance, RL Circuits, LC Circuits, RLC Circuits
Inductance, R Circuits, C Circuits, RC Circuits Inductance What happens when we close the switch? The current flows What does the current look like as a function of time? Does it look like this? I t Inductance
More informationTo find the step response of an RC circuit
To find the step response of an RC circuit v( t) v( ) [ v( t) v( )] e tt The time constant = RC The final capacitor voltage v() The initial capacitor voltage v(t ) To find the step response of an RL circuit
More informationQUESTION BANK SUBJECT: NETWORK ANALYSIS (10ES34)
QUESTION BANK SUBJECT: NETWORK ANALYSIS (10ES34) NOTE: FOR NUMERICAL PROBLEMS FOR ALL UNITS EXCEPT UNIT 5 REFER THE EBOOK ENGINEERING CIRCUIT ANALYSIS, 7 th EDITION HAYT AND KIMMERLY. PAGE NUMBERS OF
More informationSwitch or amplifies f. Capacitor i. Capacitance is measured in micro/pico farads ii. Filters frequencies iii. Stores electrical energy
Applied Science Study Guide By Patton and Zahen 1. Relationships between Science and Technology a. Circuits are a relationship between Science and technology because the power within a current comes from
More informationECE2262 Electric Circuits. Chapter 6: Capacitance and Inductance
ECE2262 Electric Circuits Chapter 6: Capacitance and Inductance Capacitors Inductors Capacitor and Inductor Combinations OpAmp Integrator and OpAmp Differentiator 1 CAPACITANCE AND INDUCTANCE Introduces
More informationElectric Circuits I. Inductors. Dr. Firas Obeidat
Electric Circuits I Inductors Dr. Firas Obeidat 1 Inductors An inductor is a passive element designed to store energy in its magnetic field. They are used in power supplies, transformers, radios, TVs,
More informationPower 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
More informationLecture 17 PushPull and Bridge DCDC converters PushPull Converter (Buck Derived) Centretapped primary and secondary windings
ecture 17 PushPull and Bridge DCDC converters PushPull Converter (Buck Derived) Centretapped 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 (
More informationSwitched Mode Power Conversion Prof. L. Umanand Department of Electronics Systems Engineering Indian Institute of Science, Bangalore
Switched Mode Power Conversion Prof. L. Umanand Department of Electronics Systems Engineering Indian Institute of Science, Bangalore Lecture  19 Modeling DCDC convertors Good day to all of you. Today,
More informationProblem Solving 8: Circuits
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics OBJECTIVES Problem Solving 8: Circuits 1. To gain intuition for the behavior of DC circuits with both resistors and capacitors or inductors.
More informationSection 5 Dynamics and Control of DCDC Converters
Section 5 Dynamics and ontrol of DD onverters 5.2. Recap on StateSpace 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 () ( )
More informationPRACTICE EXAM 1 for Midterm 2
PRACTICE EXAM 1 for Midterm 2 Multiple Choice Questions 1) The figure shows three identical lightbulbs connected to a battery having a constant voltage across its terminals. What happens to the brightness
More informationLecture #3. Review: Power
Lecture #3 OUTLINE Power calculations Circuit elements Voltage and current sources Electrical resistance (Ohm s law) Kirchhoff s laws Reading Chapter 2 Lecture 3, Slide 1 Review: Power If an element is
More informationEDEXCEL NATIONALS UNIT 5  ELECTRICAL AND ELECTRONIC PRINCIPLES. ASSIGNMENT No.2  CAPACITOR NETWORK
EDEXCEL NATIONALS UNIT 5  ELECTRICAL AND ELECTRONIC PRINCIPLES ASSIGNMENT No.2  CAPACITOR NETWORK NAME: I agree to the assessment as contained in this assignment. I confirm that the work submitted is
More information11. AC Circuit Power Analysis
. AC Circuit Power Analysis Often an integral part of circuit analysis is the determination of either power delivered or power absorbed (or both). In this chapter First, we begin by considering instantaneous
More informationAs light level increases, resistance decreases. As temperature increases, resistance decreases. Voltage across capacitor increases with time LDR
LDR As light level increases, resistance decreases thermistor As temperature increases, resistance decreases capacitor Voltage across capacitor increases with time Potential divider basics: R 1 1. Both
More informationPHYS225 Lecture 9. Electronic Circuits
PHYS225 Lecture 9 Electronic Circuits Last lecture Field Effect Transistors Voltage controlled resistor Various FET circuits Switch Source follower Current source Similar to BJT Draws no input current
More informationScheme I SAMPLE QUESTION PAPER I
SAMPLE QUESTION PAPER I Marks : 70 Time: 3 Hours Q.1) A) Attempt any FIVE of the following. a) Define active components. b) List different types of resistors. c) Describe method to test following passive
More informationCircuit AnalysisIII. Circuit AnalysisII Lecture # 3 Friday 06 th April, 18
Circuit AnalysisIII Sinusoids Example #1 ü Find the amplitude, phase, period and frequency of the sinusoid: v (t ) =12cos(50t +10 ) Signal Conversion ü From sine to cosine and vice versa. ü sin (A ± B)
More informationNotes on Electric Circuits (Dr. Ramakant Srivastava)
Notes on Electric ircuits (Dr. Ramakant Srivastava) Passive Sign onvention (PS) Passive sign convention deals with the designation of the polarity of the voltage and the direction of the current arrow
More informationElements of Circuit Analysis
ARSLAB  Autonomous and Robotic Systems Laboratory Dipartimento di Matematica e Informatica  Università di Catania, Italy santoro@dmi.unict.it L.A.P. 1 Course Basic Element of Direct Current (DC) Circuits
More informationEstimation of Circuit Component Values in Buck Converter using Efficiency Curve
ISPACS2017 Paper 2017 ID 21 Nov. 9 NQL5 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
More informationS.E. Sem. III [ETRX] Electronic Circuits and Design I
S.E. Sem. [ETRX] Electronic ircuits and Design Time : 3 Hrs.] Prelim Paper Solution [Marks : 80 Q.1(a) What happens when diode is operated at high frequency? [5] Ans.: Diode High Frequency Model : This
More informationFundamentals of Electric Circuits, Second Edition  Alexander/Sadiku
Chapter 3, Problem 9(8). Find V x in the network shown in Fig. 3.78. Figure 3.78 Chapter 3, Solution 9(8). Consider the circuit below. 2 Ω 2 Ω j 8 30 o I j 4 j 4 I 2 j2v For loop, 8 30 = (2 j4)i ji 2
More informationBasic Electronics. Introductory Lecture Course for. Technology and Instrumentation in Particle Physics Chicago, Illinois June 914, 2011
Basic Electronics Introductory Lecture Course for Technology and Instrumentation in Particle Physics 2011 Chicago, Illinois June 914, 2011 Presented By Gary Drake Argonne National Laboratory drake@anl.gov
More informationECE1750, 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
More informationModeling 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
More informationNetworks and Systems Prof. V. G. K. Murti Department of Electrical Engineering Indian Institute of Technology, Madras
Networks and Systems Prof. V. G. K. Murti Department of Electrical Engineering Indian Institute of Technology, Madras Lecture  34 Network Theorems (1) Superposition Theorem Substitution Theorem The next
More informationLecture (20) DC Machine Examples Start of Synchronous Machines
Lecture (20) DC Machine Examples Start of Synchronous Machines Energy Systems Research Laboratory, FIU All rights reserved. 201 Energy Systems Research Laboratory, FIU All rights reserved. 202 Ra R f
More informationConverter 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
More informationLecture 39. PHYC 161 Fall 2016
Lecture 39 PHYC 161 Fall 016 Announcements DO THE ONLINE COURSE EVALUATIONS  response so far is < 8 % Magnetic field energy A resistor is a device in which energy is irrecoverably dissipated. By contrast,
More informationModule 4. Singlephase AC Circuits
Module 4 Singlephase AC Circuits Lesson 14 Solution of Current in RLC Series Circuits In the last lesson, two points were described: 1. How to represent a sinusoidal (ac) quantity, i.e. voltage/current
More informationLECTURE 8 Fundamental Models of PulseWidth Modulated DCDC Converters: f(d)
1 ECTURE 8 Fundamental Models of PulseWidth Modulated DCDC Converters: f(d) I. QuasiStatic Approximation A. inear Models/ Small Signals/ Quasistatic I V C dt AmpSec/Farad V I dt VoltSec/Henry 1. Switched
More informationR. 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 Part III. Magnetics 13 Basic Magnetics Theory 14 Inductor Design 15 Transformer Design 1 Chapter
More informationElectrical 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
More informationMod. Sim. Dyn. Sys. Amplifiers page 1
AMPLIFIERS A circuit containing only capacitors, amplifiers (transistors) and resistors may resonate. A circuit containing only capacitors and resistors may not. Why does amplification permit resonance
More informationProblem info Geometry model Labelled Objects Results Nonlinear dependencies
Problem info Problem type: Transient Magnetics (integration time: 9.99999993922529E09 s.) Geometry model class: PlaneParallel Problem database file names: Problem: circuit.pbm Geometry: Circuit.mod Material
More informationPhysics 212. Lecture 11. RC Circuits. Change in schedule Exam 2 will be on Thursday, July 12 from 8 9:30 AM. Physics 212 Lecture 11, Slide 1
Physics 212 Lecture 11 ircuits hange in schedule Exam 2 will be on Thursday, July 12 from 8 9:30 AM. Physics 212 Lecture 11, Slide 1 ircuit harging apacitor uncharged, switch is moved to position a Kirchoff
More informationWireless charging using a separate third winding for reactive power supply
Wireless charging using a separate third winding for reactive power supply Master s thesis in Energy and Environment IAN ŠALKOIĆ Department of Energy and Environment Division of Electric Power Engineering
More informationCircuit AnalysisII. Circuit AnalysisII Lecture # 5 Monday 23 rd April, 18
Circuit AnalysisII Capacitors in AC Circuits Introduction ü The instantaneous capacitor current is equal to the capacitance times the instantaneous rate of change of the voltage across the capacitor.
More informationAO V Dual NChannel MOSFET
AO688 V Dual NChannel MOSFET General Description The AO688 uses advanced trench technology to provide excellent R DS(ON), low gate charge and operation with gate voltages as low as.5v. This device is suitable
More informationMod. Sim. Dyn. Sys. Amplifiers page 1
AMPLIFIERS A circuit containing only capacitors, amplifiers (transistors) and resistors may resonate. A circuit containing only capacitors and resistors may not. Why does amplification permit resonance
More informationEE 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
More informationEngineering Fundamentals and Problem Solving, 6e
Engineering Fundamentals and Problem Solving, 6e Chapter 17 Electrical Circuits Chapter Objectives Compute the equivalent resistance of resistors in series and in parallel Apply Ohm s law to a resistive
More informationKirchhoff's Laws and Circuit Analysis (EC 2)
Kirchhoff's Laws and Circuit Analysis (EC ) Circuit analysis: solving for I and V at each element Linear circuits: involve resistors, capacitors, inductors Initial analysis uses only resistors Power sources,
More informationEE292: Fundamentals of ECE
EE292: Fundamentals of ECE Fall 2012 TTh 10:0011:15 SEB 1242 Lecture 14 121011 http://www.ee.unlv.edu/~b1morris/ee292/ 2 Outline Review SteadyState Analysis RC Circuits RL Circuits 3 DC SteadyState
More informationSinusoidal SteadyState Analysis
Sinusoidal SteadyState Analysis Almost all electrical systems, whether signal or power, operate with alternating currents and voltages. We have seen that when any circuit is disturbed (switched on or
More informationLecture 1. Electrical Transport
Lecture 1. Electrical Transport 1.1 Introduction * Objectives * Requirements & Grading Policy * Other information 1.2 Basic Circuit Concepts * Electrical l quantities current, voltage & power, sign conventions
More information2005 AP PHYSICS C: ELECTRICITY AND MAGNETISM FREERESPONSE 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
More informationChapter 2. Engr228 Circuit Analysis. Dr Curtis Nelson
Chapter 2 Engr228 Circuit Analysis Dr Curtis Nelson Chapter 2 Objectives Understand symbols and behavior of the following circuit elements: Independent voltage and current sources; Dependent voltage and
More informationCross Regulation Mechanisms in MultipleOutput Forward and Flyback Converters
Cross Regulation Mechanisms in MultipleOutput Forward and Flyback Converters Bob Erickson and Dragan Maksimovic Colorado Power Electronics Center (CoPEC) University of Colorado, Boulder 803090425 http://ecewww.colorado.edu/~pwrelect
More informationR. 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 lowq approximation Given a secondorder denominator polynomial, of the form G(s)= 1
More informationresistance in the circuit. When voltage and current values are known, apply Ohm s law to determine circuit resistance. R = E/I ( )
DC Fundamentals Ohm s Law Exercise 1: Ohm s Law Circuit Resistance EXERCISE OBJECTIVE When you have completed this exercise, you will be able to determine resistance by using Ohm s law. You will verify
More informationElectricity. From the word Elektron Greek for amber
Electricity From the word Elektron Greek for amber Electrical systems have two main objectives: To gather, store, process, transport information & Energy To distribute and convert energy Electrical Engineering
More informationChapter 13 SmallSignal Modeling and Linear Amplification
Chapter 13 SmallSignal Modeling and Linear Amplification Microelectronic Circuit Design Richard C. Jaeger Travis N. Blalock 1/4/12 Chap 131 Chapter Goals Understanding of concepts related to: Transistors
More information0 t < 0 1 t 1. u(t) =
A. M. Niknejad University of California, Berkeley EE 100 / 42 Lecture 13 p. 22/33 Step Response A unit step function is described by u(t) = ( 0 t < 0 1 t 1 While the waveform has an artificial jump (difficult
More informationObjective of Lecture Discuss resistivity and the three categories of materials Chapter 2.1 Show the mathematical relationships between charge,
Objective of Lecture Discuss resistivity and the three categories of materials Chapter 2.1 Show the mathematical relationships between charge, current, voltage, and energy. Chapter 2.22.4 Define resistance
More informationChapter 9 Objectives
Chapter 9 Engr8 Circuit Analysis Dr Curtis Nelson Chapter 9 Objectives Understand the concept of a phasor; Be able to transform a circuit with a sinusoidal source into the frequency domain using phasor
More informationBasic. Theory. ircuit. Charles A. Desoer. Ernest S. Kuh. and. McGrawHill Book Company
Basic C m ш ircuit Theory Charles A. Desoer and Ernest S. Kuh Department of Electrical Engineering and Computer Sciences University of California, Berkeley McGrawHill Book Company New York St. Louis San
More informationECE2262 Electric Circuit
ECE2262 Electric Circuit Chapter 7: FIRST AND SECONDORDER RL AND RC CIRCUITS Response to FirstOrder RL and RC Circuits Response to SecondOrder RL and RC Circuits 1 2 7.1. Introduction 3 4 In dc steady
More informationECE 202 Fall 2013 Final Exam
ECE 202 Fall 2013 Final Exam December 12, 2013 Circle your division: Division 0101: Furgason (8:30 am) Division 0201: Bermel (9:30 am) Name (Last, First) Purdue ID # There are 18 multiple choice problems
More information