Power Electronics and the New Energy Revolution: The How of Energy in a Transitioning World and an Introduction to the Course

Similar documents
Introduction to Power Electronics - A Tutorial. Burak Ozpineci Power Electronics and Electrical Power Systems Research Center

Lecture 2. Power semiconductor devices (Power switches)

Lecture 1. Introduction to Power Electronics

Electric cars: Technology

P. T. Krein. R. S. Balog

Are We at the Threshold of a New Era of DC Power Systems? (DC Power Production, Delivery and Use)

Overview of Power Electronics for Hybrid Vehicles

BASIC ELECTRICAL MEASUREMENTS By David Navone

The Nature and Promise of 42 V Automotive Power: An Update

Power Semiconductor Solutions EXPERTISE INNOVATION RELIABILITY

Power Electronics. Rajeev Ram, Program Director, ARPA-E

Course Name: POWER ELECTRONICS Course Code: EE603 Credit: 4

All-SiC Module for Mega-Solar Power Conditioner

The Grainger Center for Electric Machinery and Electromechanics Update, May 2002

The Physics of the Automotive Ignition System

Hello, my name is Takehiro Kamigama. I will present the full-year consolidated projections for fiscal 2015.

Second Edition. Power Electronics. Devices and Circuits. V. Jagannathan

Thyristors Zheng Yang (ERF 3017,

Rich, unique history of engineering, manufacturing and distributing

CHAPTER 5 FAULT AND HARMONIC ANALYSIS USING PV ARRAY BASED STATCOM

EPE 18 ECCE Europe: LIST OF KEYWORDS

White Paper: Pervasive Power: Integrated Energy Storage for POL Delivery

THE SOLAR POWERED ANTI-THEFT BAG

Renewable Energy. Presented by Sean Flanagan

DC Arc-Free Circuit Breaker for Utility-Grid Battery Storage System

Fast thyristors. When burning for induction heating solutions.

CHAPTER 19 DC Circuits Units

Design and Reliability of a High Voltage, high Current Solid State Switch for Magnetic Forming Applications

Learning Objectives:

Contents. Prefece. List of Acronyms «xxi. Chapter 1 History of Power Systems 1

Historical Development

Your web browser (Safari 7) is out of date. For more security, comfort and. the best experience on this site: Update your browser Ignore

ELECTRIC TRANSMISSION 101: Operational Characteristics. Wayne Galli, Ph.D., P.E. Executive Vice President Clean Line Energy Partners LLC

INTERNATIONAL JOURNAL OF ELECTRICAL ENGINEERING & TECHNOLOGY (IJEET)

POWER IS IN OUR NATURE! WELCOME TO THE HOUSE OF COMPETENCE.

Conclusions. Fall 2010

Lecture PowerPoints. Chapter 21 Physics: Principles with Applications, 7th edition, Global Edition Giancoli

Relation Wave Energy Converter GIANT

Design and evaluate vehicle architectures to reach the best trade-off between performance, range and comfort. Unrestricted.

Advanced Soft Switching for High Temperature Inverters

Reach Beyond Traditional Powering Scenarios with New Ultralow I Q Buck-Boost Converters

EMC Issues in Electric Drives

Understanding The HA2500's Horiz Driver Test

Products design and Application with BD180 Process

ELECTRICITY: INDUCTORS QUESTIONS

Power Semiconductor Solutions EXPERTISE INNOVATION RELIABILITY

Engineering Innovation Center EIC. Electronic Component Selection

A Novel DC-DC Converter Based Integration of Renewable Energy Sources for Residential Micro Grid Applications

High Speed V-Series of Fast Discrete IGBTs

Power through Innovation. UK and China Joint R&D & Wide Band Gap Semiconductors: UK operating in global market. Yangang Wang

Electric Machines CHARLES A. GROSS. Aubum University Auburn, Alabama, U.S.A. LßP) CRC Press Vv* / Taylor & Francis Croup. Boca Raton London New York

Contents. DX Ignition Page 2

INSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad

EE6351 ELECTRIC DRIVES AND CONTROL UNIT-1 INTRODUTION

EE Architecture for Highly Electrified Powertrain

University of Florida Low Cost Solar Driven Desalination

HIGH VOLTAGE, HIGH CURRENT, HIGH DI/DT SOLID STATE SWITCH

Inverter Market Trends and Major Technology Changes

BASIC MECHATRONICS ENGINEERING

2012 Quick Reference Guide

ECSE-2100 Fields and Waves I Spring Project 1 Beakman s Motor

CHAPTER 2. Current and Voltage

Coleman Air C440-HVM 440 Amp Diversion Controller Version 3.2

Product Line Card 2018

DYNAMO & ALTERNATOR - B FIELD LOGIC PROBE.

Note 8. Electric Actuators

The future role of storage in a smart and flexible energy system

Power Systems Overview. Summer Programs

ECE1750, Spring Motor Drives and Other

Specialists in Power Electronic Components and Assemblies

Opportunities for the Power Grid in the Changing Energy Economy

Power Electronics Projects

Chapter 28. Direct Current Circuits

Contents. Preface... xiii Introduction... xv. Chapter 1: The Systems Approach to Control and Instrumentation... 1

Faraday's Law of Induction

Devices and their Packaging Technology

Course Syllabus and Information

1/7. The series hybrid permits the internal combustion engine to operate at optimal speed for any given power requirement.

Today s lecture: Generators Eddy Currents Self Inductance Energy Stored in a Magnetic Field

Applications to Power Systems

Electric Power and Energy Systems Engineering Program An Overview. February 10, 2015

ABOUT US. Why Solar Solution? Why DC based Solution? a to in

Inverter with MPPT and Suppressed Leakage Current

May 25, 2004; 4:00 p.m. to 4:30 p.m. PCIM 2004

Creating Efficient Solutions for Motor Drive-based Systems CIRCUIT PROTECTION WHITE PAPER

Energy & Sustainability. Lecture 8: Electric Power Generation And Distribution February 5, 2009

Coleman Air Diversion Controller Model C40

Gallium Nitride Power Transistors in the EV World. June 2017

Exercise 7. Thyristor Three-Phase Rectifier/Inverter EXERCISE OBJECTIVE DISCUSSION OUTLINE DISCUSSION. Thyristor three-phase rectifier/inverter

Delivering higher efficiency in motor drive applications

ICEC The 27 th International Conference on Electrical Contacts. presented by Peter Meckler

Energy Savings through Solar Energy for Municipalities

HADES Workshop. May 24-26, 2011 Perma Works LLC. My thanks to the GNS and Tiger Energy Services. Randy Normann, CTO

DC-DC CONVERTER. 5.1 Advantages & Disadvantages of DC-DC Converters

Design and Simulation of Grid Connected PV System

Chapter 17 Notes. Magnetism is created by moving charges.

Power & Smart Power Solutions

Into the Future with E-Mobility

The Application of Power Electronics to the Alberta Grid

Newly Developed High Power 2-in-1 IGBT Module

Transcription:

Power Electronics and the New Energy Revolution: The How of Energy in a Transitioning World and an Introduction to the Course P. T. Krein Department of Electrical and Computer Engineering University of Illinois at Urbana-Champaign, USA 2011, 2015 Philip T. Krein. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License except certain photos as labeled. 1

The 21 st Century Energy Revolution Life in rural Asia even today: No electricity No cars No land-line telephones No appliances other than a basic stove No radio or TV No running water Electricity is changing everything and it will again. 2

Basics of Power Electronics Instructor: Prof. P. T. Krein Web site: courses.engr.illinois.edu/ece464 Book: P. Krein, Elements of Power Electronics. Second edition of the text, P. Krein, Elements of Power Electronics, 2 nd edition. New York: Oxford University Press, 2015. 3

The 21 st Century Energy Revolution www.foag.org History is a sequence of energy revolutions. www.mech.kulueven.be www.lightbulbmarket.com www.xtec.es Each completely changes the way people live and work. 4

The 21 st Century Energy Revolution Today, we are in early stages of a new energy revolution. We see it in explosive growth of portable devices, industry processes, and many others. We see it in hybrid cars now on the road. 5

The 21st Century Energy Revolution Modern electrical demands are much different from the Incandescent lights Electric stoves Motors that represent the 20 th century electrical energy revolution still sweeping the world. Solar Two thermal solar power plant. www.nrel.gov (public domain) 6

The 21 st Century Energy Revolution What will change? The answer is easy EVERYTHING. research.ee.sun.ac.za www.edmunds.com 7

Signs of Revolution Jetliners are moving to all-electric Electric motors in place of hydraulics Adaptable surfaces www.mpcproducts.com Car electrical systems are retooling. Electric air conditioning, power steering, suspension, control, pumps are better. Car electric power approaches that of a house. The 12 V system is inadequate. Source: Delphi Corp., Saginaw Steering Systems Div. 8

Signs of Revolution Wind power has crossed a cost threshold. Long-anticipated energy growth in east Asia and south Asia is occurring. Fossil fuel consumption now exceeds the rate of new reserve discovery. Jinzhushan coal plant, China. www.ens-newswire.com 9

Signs of Revolution Electricity continues to grow as a fraction of all energy use. Electrification: a key element of economic development. Much of the world has yet to be electric. Many countries are leapfrogging wire grids. www.ccm.co.nz 10

Why a Revolution? Much of the revolution is based on using electronic circuits to process energy. Power electronics is the application of electronic circuits to the control and conversion of electrical energy. This is fundamental to any electrical product. It cannot be done with linear circuits. 11

Why a Revolution? People do not use electricity. They use light, heat, information, and all the things we can do with electricity. Electrical engineering is about conversion mostly between information and an electrical form. Growth of energy today means growth of electrical energy. 12

Principles Power electronic circuits use switches. A switch controls energy flow without any loss. We must find good ways to operate and control switches to convert energy in a desired way. 13

Example Many seasoned engineers will tell you the function below is impossible. How can you put in a dc voltage and get a higher one out without power loss? 10 A 1.25 A 6 V dc 48 V dc 14

+ + V = R ni _ V6 C _ R = 4. Example The circuit to do this is deceptively simple, but is challenging to analyze and control. The semiconductors are used as switches. L i uo t V84 83 15

Example Good analysis methods for this circuit appeared in the late 1970s, but they were justified only in the 1990s. Good controls for it remain a research topic. There are still circuits for which good design techniques have not been fully developed. Space station: the design is dominated by power. www.nasa.gov (public domain) 16

Example Deliver maximum energy from a solar panel. Track this maximum power point as it changes with illumination and temperature. 17

Example A 200 W converter to draw maximum energy from a solar panel and deliver it to the grid, with control of the grid interface: 18

Emerging Buildings Zero net energy homes and schools 19

Grand Challenges The current energy revolution has power electronics at its heart. Within ten years, nearly all electrical energy will be processed through power electronics. Power electronics is a critical enabler. Build the industry that will do this in a costeffective high-quality manner. Create the tools that will lead to sustainable energy use. 20

The Dilemma Today, few engineers have a thorough understanding of power electronics. The need is so vast compared to the expertise that the problem is hard to grasp. Good work in the area requires a broad background and innovative thinking. 21

Challenges -- Digital Power A sample design challenge: Digital designs are moving to lower voltages to reduce power and squeeze dimensions. Near-term example: 1 V power (at 70 W) for microprocessor Longer-term: 0.5 V power, still at 70 W How do you deliver 140 A to a chip without burning something up? If a conversion circuit includes a diode (they always do) with a 0.7 V drop, then providing 0.5 V power yields at best ~40% efficiency. 22

It gets worse. Challenges Digital Power Whenever an electrical connection is made to something, there is wire involved and wires have inductance. A typical value of inductance is about 5 nh/cm. Does that matter? 23

Challenges Digital Power A 3000 MHz microprocessor can swing from almost zero current to almost full current (up to 40 A) in just a few clock cycles. Estimate: a 40 A swing in 3 cycles yields 40 A in 1 ns, or di/dt = 4 10 10 A/s. Connect through 2 cm of wire 10 nh inductance. Fast current change induces a voltage across the wire. 24

Challenges Digital Power Voltage drop: L di/dt = (10 nh) x ( 4 x 10 10 A/s). This gives 400 V, and the processor is destroyed. In the end, power processing and distribution must be designed into the chip itself. 25

Challenges Vehicles Power electronics is an essential enabler for electric and hybrid cars. The electric motor, batteries, extra equipment, and Leaf major operating components such as brakes all use power electronics. Tesla 26

Challenges Vehicles The designs are recent and immature. The target power level for a car is at least 100 kw for the drive. This is equivalent to roughly 200 HP. Illinois plug-in hybrid prototype 27

Challenges Miniature Power A sample design challenge: Efficient miniature power for communications and for network nodes. Supply just a few milliwatts, with very high efficiency. Example: power on a chip. 28

Unusual Devices Several widely-sold devices are unique to power electronics. About half of the discrete semiconductor market. Example: the IGBT (insulated gate bipolar transistor). A special voltage-controlled transistor. Optimized for switch applications. Small devices have ratings on the order of 600 V and 10 A. Larger ones for HEVs reach 1700 V and 600 A. 29

Advanced Applications Switching audio amplification full fidelity output from a digital music source. Direct energy processing to the loudspeaker. Efficiency of about 90%. Compare to clunky old-fashioned class AB amplifier. 30

Summary An accelerating 21 st century revolution is underway. The ways we use energy, the ways we produce it, and the ways we process it are changing. Energy alternatives and sustainability are the expected outcomes. Power electronics is the innovation that drives this revolution. The challenges are vast and the issues are growing. 31

So What About This Course? In this course, the fundamentals of power electronics are presented. Assignments and tests are intended to give you practice with realistic problems. Everything we consider is motivated by practical applications if they are not clear or obvious, challenge your instructor to show what the topic is used for and why it is included. 32

Power Electronics This is a course about alternative energy systems, because there is no alternative energy without power electronics. Because power electronics is an integral part of all energy systems, from basic systems in a conventional car to the most advanced photovoltaic energy systems on a spacecraft, it is central to the new electricity revolution. 33

Course Coverage Key concepts Dc-dc converters Rectifiers Inverters Applications 34

Rapid Progress 35

Premise People do not use electricity. 36

Premise They use tangible benefits of electricity instead: Heat and comfort Motion and mechanical work Light Information 37

Energy is Our Business 2008 was the 260th anniversary of Franklin s electric motor, and 2010 was the anniversary of the lightning rod, the first inventions of the electrical age. The impetus for electricity use is the ease of conversion and transport of energy -- both at the sending and receiving ends. 38

Energy is Our Business Ease of conversion means that electricity comes in a wide variety of forms. Various voltages, frequencies, waveforms, polyphase connections, and others are common. The best form depends on the situation and application. 39

Examples Ac, 50 Hz in Europe and most of Asia, 60 Hz in North America Dc, 12 V for analog circuits Dc, 5 V for conventional digital circuits Dc, 3 V for memory and other digital circuits Dc, 1.2 V for advanced microprocessors Ac, medium frequency for fluorescent lighting Ac, 345 kv, 60 Hz for bulk transmission Ac at RF for communications 40

Capacitor Energy Storage Capacitor value: 300,000 uf Voltage rating: 7.5 V Energy storage: ½ C V² = (0.15)(7.5)² = 8.5 J Compare to: 1.5 V battery ~ 5000 J (AA cell) 41

The Implications People do not use electricity. They use light, heat, information, mechanical work, and direct results of energy. All electrical engineers are in the business of conversion. 42

What is Power Electronics? If electrical engineers are in the conversion business, who is it that takes care of energy conversion? We are used to circuits that handle information, whether analog, digital, or RF. What about energy? 43

What is Power Electronics? In power electronics, the energy conversion process is primary. We study the application of electronic devices and circuits to the conversion and control of energy. We are interested in conversion of electricity among its many forms. 44

My Definition Power electronics involves the study of electronic circuits intended to control the flow of electrical energy. These circuits handle energy flow at levels much higher than individual device ratings. 45

Field Effect Transistor Example IRF 4227 Power rating: 3 W (without heat sink) Voltage rating: Current rating: 200 V 50 A Power electronics rating : 10000 W This is called the power handling rating. 46

History In the 1880s, Edison (and his General Electric) advocated dc power. Westinghouse advocated ac power. Dc to ac conversion was an issue from the beginning. But ac and dc arguments are misleading: Two power systems exist today power grid and telecom power, ac and dc There is a broad trend to dc 47

How? For dc, the original option was electrical to mechanical to electrical conversion: a motor driving a generator. For ac, we also have the transformer, which can adjust voltage levels. 48

Energy Conversion System Energy source Conversion Load Control 49

Energy Conversion System Oats Horse Load Farmer www.tinalewisrowe.com 50

Energy Conversion System Fuel Generator City Control 51

Energy Conversion System Electric source Power electronics Electric load Control 52

Why is it Challenging? Energy conversion is a nonlinear process: The form we want differs in basic ways from the form we start with. Even today, many aspects of nonlinear circuits and systems are only partially understood. Conversion involves intermediate stages. 53

Historical Sequence Motor-generator sets for conversion Transformers for voltage levels (ac) Nonlinear circuit elements: nonlinear materials as semiconductor rectifiers, electronic devices (tubes) as rectifiers Thyratrons and triodes: rectifier control, inverters, cycloconverters 54

The Silicon Age Selenium diodes, copper oxide diodes --- silicon P-N junction diodes. The thyristor -- the silicon controlled rectifier (SCR). Support for high-power rectifiers, inverters, and cycloconverters Power bipolar transistors. Voltage-sourced inverters, pulse width modulation, dc-dc converters. 55

More Recent Power field-effect transistors: high-performance dc-dc conversion Combined devices, such as the insulated gate bipolar transistor (IGBT): high-performance inverters High power thyristors, SCRs and gate turn-off (GTO) devices: power levels of many megawatts 56

Near Future Efficient conversion below 1 V Power electronics in almost every motor, appliance, or electrical product Almost all energy processed through an electronic circuit Alternative energy 57

Summary Energy conversion is our business. Power electronics is distinct because we study circuits and devices for energy conversion and control. Modern devices can manage energy flows from less than 1 W to more than 1000 MW. There are significant future challenges in computers, automotive systems, motors, home applications, light industry, and a host of other areas. 58

Power Electronics Today The fraction of energy processed electronically is growing rapidly. Power electronics: every computer, almost every appliance or new electrical product 59

Power Electronics Today Soon in every motor, alternative energy system, and automobile Modern devices can manage energy flows from 0.1 W to more than 1000 MW. 60

Consider a PC: Challenges Power supply is the largest part. Significant cost, reliability impact, system issues Yet there are perhaps 100 digital circuit design engineers for every power electronics engineer. 61

Challenges Computer industry -- low voltage at high current. High reliability. Data servers. Telecommunications -- distributed power, battery power. Aerospace -- aircraft and satellite systems. Distributed systems. Heavy industry mining, construction. 62

Challenges Automotive industry -- electric traction, actuators, motor control, networks,... Energy industry -- energy management and control, power quality Devices -- power semiconductors, magnetics,... 63

Examples of Components 64

Summary So Far All electrical engineers are in the business of conversion. Power electronics is distinct because we apply electronic devices and circuits directly to energy conversion. Long-standing needs, new challenges; not nearly enough expertise. 65

The Objectives Energy source Conversion Load Control 66

Objectives -- Intro Converter sits between source and load. Any energy consumed in conversion is lost to the system. Any failure in the converter results in failure of the system. 67

Efficiency Consider only lossless methods. Efficiency target: 100% Consider only simple systems Reliability target: 100% 68

How? I SWIT CH V SWIT CH P SWIT CH =V SWIT CH I SWIT CH The switch -- a simple lossless element 69

The Open Switch I SWITCH =0 P SWITCH =0 70

The Closed Switch V SWITCH =0 P SWITCH =0 71

The Switch When on: v = 0 Zero power When off: i = 0 Zero power 72

Type of Switches Required The switches need to be operated at high rates, presently, up to a few MHz. Mechanical devices have a life of ~100,000 operations, making them unsuitable for high rates. Semiconductor switches Exhibit a much longer life. Many different varieties. 73

Power Electronic System Electrical source Switches, storage Load Control 74

Power Electronic System Electrical energy source Power electronic circuit Load Control 75

Examples V IN V OUT Switch ON if Vin > 0 Switch OFF if Vin < 0 76

Examples V IN V OUT Switch ON at Vin peak Stay ON for 1/2 cycle Then OFF for 1/2 cycle 77

L Examples C V IN V OUT Alternate switching. Balanced intervals. 78

Analysis It is tempting to try to write loop and node equations for analysis. This does not work loops and nodes change with switch action. How? Analyze one configuration at a time then assemble results. Conservation of energy is key. 79

Examples i L Two possible configurations: i L 80

T/2 Examples Total energy in over a whole interval: T W V i dt V V i dt V i T / 2 V V i T / 2 0 in in L in out L in L in out L 0 T / 2 V 2V o u t in Ex.: V IN = +12 V V OUT = +24 V BOOST CIRCUIT 81

Examples Two analysis methods Circuit laws later Energy balance 82

Examples Many types of power supplies. 83

Energy Balance Energy balance works if we can identify a specific element. The element is analyzed as a one-port network. If the element is lossless, input and output energy must balance, at least over an extended time interval. 84

Energy Balance Lossless element Energy flow 85

One-Port Model i IN P in v in Define polarities and input power. 86

One-Port Model All power input is either stored or consumed (lost). Over a long time interval, the net stored power is zero. 87

A primary battery: Example: Battery Over modest times, it acts like a dc voltage source. After a long time, it is dead. Rechargeable battery: Over a long time, whatever energy is drawn out must be restored through recharging. 88

Example: Resistor All input power is consumed immediately. The net input power must be I 2 R. 89

Example: Capacitor Non-zero input power is stored. We cannot increase stored energy indefinitely, since ½ CV 2 will be limited by voltage ratings. Ideally, there is no loss. Over an extended time interval, the net input power must be zero. 90

One-Port Model The input power is defined as (v)(i), positive with current and voltage polarities as shown. This means the output power is -(v)(i). in With a storage element inside, there is a lossless energy balance over time. For lossless balance, we can either take P in = P out, or we can take a total P in of zero. P in 91

Back to Polarity Reverser V IN L C R V OUT Left switch ON : P in V o u t i L Right switch ON : P in V in i L 92

Energy Balance We know the inductor is lossless, so the net input should be zero. Thus, the total input energy over a switch sequence should be zero. If each switch is on for an interval T, this means: W in V in i L T V o u t i L T 0 93

Energy Balance This requires and times are nonzero. V out V in if the currents 94

Energy Balance Now, let us try a more challenging case, such as a boost circuit with loss. The inductor is now in series with a resistor. 95

L 1-port Energy Balance R L * V IN * C R LOAD Again, let L and C be large. Let switches act in alternation, for equal times. Each closed T/2 sec. 96

Energy Balance In this case, the net one-port input power is no longer zero. It must also include the resistor I²R loss for proper balance. But notice that energy is still conserved. The total energy drawn from the input source must supply losses and the load. 97

Energy Balance Left ON : W V i T /2 in in L Right ON : W V V i T /2 in in out L 2 V i T / 2 V V i T / 2 i R T in L in out L L L We have two unknowns (i L, V out ) and one equation. We need one more equation. 98

Energy balance from source to load V 2 2 out in L L L load V i T i R T T R V in i L i 2 L R L V R 2 out load Now we have two equations and two unknowns. 99

Balance The result is a solution of a quadratic. If the loss resistance is too high, the process does not work to perform conversion. EFFICIENCY TARGET 100% If loss is very low, V out ~ 2V in. If the loss resistor is 1% of the load resistor, V out = 1.91 V in,... 100

Result R L 1% of R load V out 2V in Process breaks down 1.91V in 101

Efficiency Examples Power electronic circuits, with switches and storage elements, are lossless in principle. Individual devices are pushed hard to handle high power levels. But, switches and other devices are not perfect. There will be a little energy loss. We still require 100% efficiency in principle, but must accept 90%, 95%, or 102

Efficiency Examples The actual loss is not zero. Losses in devices (power dissipation) will cause heating. Any device has a power dissipation limit above which it can fail. Even at very high efficiency, dissipation limits can be a key factor. The hottest part will likely limit system performance. 103

Efficiency Examples Q: (Typical example) A converter is 95% efficient, and uses six power MOSFETs as switches. The devices can safely dissipate up to 50 W each. What is the system power limit? 104

Efficiency Examples A: The designer should make sure the dissipation is even so that no single device will limit the system. The total loss can be up to 6x50 W = 300 W. At 95% efficiency, P out /P in =0.95 and P in -P out < 300 W. Result: P out < 5700 W. 105

Efficiency Examples Q: We want a power converter to provide up to 100 kw output for an electric vehicle application. The control power is 100 W. The total dissipation in the converter must not exceed 1000 W. What converter efficiency is required? 106

Efficiency Examples A: Since the controls already dissipate 100 W the converter hardware must not dissipate more than 900 W. This means P in P out < 900 W. Since P out = 100 kw, the efficiency h = P out /P in must be h > 99.1%. 107

Efficiency Examples What if the efficiency is only 98%? At 100 kw output, the dissipation will be 2040 W plus the 100 W control power. The total is more than double the limit, and the system is likely to fail quickly. Or we could limit the output to 44 kw, but this is less than half of what is needed! 108

Efficiency Considerations To attain high power levels, we need devices that are: Extremely efficient. Or can dissipate a lot of power (or both!). The devices are selected in part of efficiency. Their packages and cooling are selected to permit high dissipation. 109

Notes 110

Notes 111

Notes 112

Notes 113