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Massachusetts Institute of Technology Power Electronics Research Group Architectures and Topologies for High- Frequency, High-Density Power Conversion Power Electronics and Applications Conference Shenzhen, China – November 2018 David Perreault 20 kW Kenotron Rectifier, Circa 1926 (From Principles of Rectifier Circuits, Prince and Vogdes, McGraw Hill 1927) ?? Isolated Power Supply, Circa 2016 (Minjie Chen, MIT) Circa 2026 IEEE PEAC 2018 No Reprint Without Authorization

Massachusetts Institute of Technologyconfig.peac-conf.org/ckfinder/userfiles/files/P4.pdfsize, efficiency and performance Much gher. hi -frequency. converters now possible (1000x higher

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  • Massachusetts Institute of TechnologyPower Electronics Research Group

    Architectures and Topologies for High-Frequency, High-Density Power Conversion

    Power Electronics and Applications Conference

    Shenzhen, China – November 2018

    David Perreault

    20 kW Kenotron Rectifier, Circa 1926(From Principles of Rectifier Circuits, Prince and Vogdes, McGraw Hill 1927)

    ??

    Isolated Power Supply, Circa 2016(Minjie Chen, MIT)

    Circa 2026

    IEEE PEAC 2018 No Reprint Without Authorization

  • Passive Components Dominate

    Power electronics systems are dominated by passives (especially magnetics)

    Demonstration design by EPC from ECCE 2015 300 kHz Telecom converter design based on EPC eGaN FETs Magnetics ~48% of loss, 45% of Area

    Commercial LED Driver (cooper) ~ 100 kHz , 4.8 W/in3 >90% passives by volumeIEEE PEAC 2018 No Reprint Without Authorization

  • Miniaturizing Magnetics is Difficult

    Scaling laws work againstminiaturization of power magnetics Simplified case: power handling (VA) of a

    fixed-frequency inductor Flux density B0 limited by core loss Current density J0 limited by winding loss

    If we scale dimensions by factor ε Areas scale as ε2 Volumes scale as ε3 Power handling as ε4, faster than volume

    Power density scales as ε Gets worse at smaller size!

    Sullivan, et. al., “On Size and Magnetics: Why Small Efficient Power Inductors are Rare,” International Symposium on 3D Power Electronics Integration and Manufacturing, June 2016

    IEEE PEAC 2018 No Reprint Without Authorization

    ????

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  • Opportunities for Advances

    Improvements in semiconductor devices, integrated circuits / controls, magnetic materials and packaging open the door to better power electronics

    More sophisticated converter designs now possible Better leverage the way we use passives to greatly improve

    size, efficiency and performance

    Much higher-frequency converters now possible (10-100x higher than conventional approaches) Substantial reductions in energy storage / passives

    IEEE PEAC 2018 No Reprint Without Authorization

  • Opportunities for Advances

    Improvements in semiconductor devices, integrated circuits / controls, magnetic materials and packaging open the door to better power electronics

    More sophisticated converter designs now possible Better leverage the way we use passives to greatly improve

    size, efficiency and performance

    Much higher-frequency converters now possible (10-100x higher than conventional approaches) Substantial reductions in energy storage / passives

    IEEE PEAC 2018 No Reprint Without Authorization

  • New System Architectures and Topologies

    Power electronics design has historically been driven by a desire (and need) for simplicity

    Advances in semiconductor devices, integrated circuits, controls and passive integration techniques favor adoption of more sophisticated power conversion approaches

    We should judiciously utilize higher complexity to leverage technology advances Smaller, more efficient and higher-performance solutions

    We can accomplish this by leveraging: Designs that reduce magnetic energy storage requirements Controls enabling very wide operating ranges at low device and

    component stress (e.g., via mode changes)IEEE PEAC 2018 No Reprint Without Authorization

  • Example #1: Telecom Converter

    All kinds of electronic equipment require isolated dc-dc power converters operating from wide range inputs to low-voltage outputs Servers in data centers Telecommunications

    IEEE PEAC 2018 No Reprint Without Authorization

  • Typical Solutions

    Isolation Step Down

    Buck + Isolation Forward ConverterStep

    Down Isolation

    0 5 10 1575

    80

    85

    90

    95

    Output Current (A)

    Effic

    ienc

    y (%

    )

    20V30V40V50V60V70V75V

    75V

    20V 40V

    60V

    18 V - 75 Vin5 Vout75 W1/16 brickisolated

    Best commercial 1/16th brick wide-input dc-dc converterSimple structure but has multiple large magnetic components

    IEEE PEAC 2018 No Reprint Without Authorization

  • Challenges in Wide-Input-Range dc-dc

    Conventional Two-Stage Dc-Dc Architecture

    Voltage20V 80V

    1A

    4ACurrent

    Operation

    Device Ratings

    80W Curve

    Need to better balance the device rating and the device operational range

    Regulation Stage Isolation Stage

    Cost of Switch Ratings1. High voltage rating → resistance2. High current rating → die area

    Cost of Passive Component Ratings1. High capacitance → volume2. High inductance → volume

    20V 5V

    RLOADVIN

    20V - 80VPIN: 80W

    IEEE PEAC 2018 No Reprint Without Authorization

  • MultiTrack Power Conversion Architecture

    Power Splitter

    Deliver power in multiple TRACKs

    Power Combiner

    Switched capacitor power balancer & splitter

    Magnetic power balancer & combiner

    VINROUT

    Switched inductor

    Hybrid Switched-Capacitor Magnetics Structure

    Synchronous Rectifier

    Regulation Stage

    Isolation Stage

    18V~80VIN 5VOUT

    IEEE PEAC 2018 No Reprint Without Authorization

  • Internal Voltage-Conversion Stress

    MultiTrack Power Flow

    80V

    20V

    VIN VTrack

    20V 5V

    VIN

    80V

    20V

    VTrack80V

    40V5V

    Single-Track Power Flow

    VIN

    ROUT40V

    80VEfficiently create 2 balanced power

    delivery tracksVIN > 40VHigh Input Mode

    High Performance DC Transformer

    SASBSC

    SD

    5V

    Always deliver power to the closest track

    Track 1 Track 1

    Track 2high stress low stress

    IEEE PEAC 2018 No Reprint Without Authorization

  • VIN

    ROUT

    Internal Voltage-Conversion Stress

    40V

    80VEfficiently create 2 balanced power

    delivery tracksVIN < 40VLow Input Mode

    High Performance DC Transformer

    SASBSC

    SD

    5V

    MultiTrack Power Flow

    80V

    20V

    VIN VTrack

    20V 5V

    VIN

    80V

    20V

    VTrack80V

    40V5V

    Single-Track Power Flow

    Always deliver power to the closest track

    Track 1 Track 1

    Track 2high stress low stress

    IEEE PEAC 2018 No Reprint Without Authorization

  • Reduced Inductor Size

    ɸ1

    ɸ2

    VX

    VY

    vin VX > VY

    Switched-Inductor Unit Cell Percentage of energy buffered greatly by the inductor reduced through use of multiple conversion “tracks”

    Buck Front-End

    2-Track Front-End

    VIN

    VIN

    Buck2-Track

    Buck

    2-Track

    Normalized Inductor Size

    3x

    0

    1

    32 80Input Voltage (V)

    48 64160IEEE PEAC 2018 No Reprint Without Authorization

  • VIN

    Device Ratings and Conduction Loss

    VIN

    80V

    40V

    40V40V

    80V

    80V

    Buck Front-End

    2-Track Front-End

    Favors High Voltage and Potential IC Implementations

    0 0 2 0 4 0 6 0 8 1

    Buck2-Track

    Reduced device voltage rating

    Buck

    2-Track

    2x

    32 80

    Normalized Peak Conduction Loss

    Input Voltage (V)

    0

    5

    48 64160

    Processes power using low voltage rating devicesIEEE PEAC 2018 No Reprint Without Authorization

  • 8 Layer PCB with precisely controlled parasitics

    18V-80V, 75W Miniaturized Telecom Converter

    PCB Integrated TransformerModular Input Cells

    Discrete Logic, LDOs, Controls, Signal Buffers, …

    Modular Output Cells

    M. Chen, et al “MultiTrack Power Conversion Architecture,” IEEE Transactions on Power Electronics, Vol. 32, No. 1, pp. 325-340, January 2017.

    Resulting design has larger numbers of components (switches, drivers, controls) than conventional approaches, but much lower active and passive component stresses

    The converter structure is highly modular and manufacturable, and benefits heat transfer

    IEEE PEAC 2018 No Reprint Without Authorization

  • MultiTrack Best commercial product (Forward)

    Overall < 1/3 size, 1/2 weight

    457.3 W/in3, 91% 142.5 W/in3, 91% 1 inch20.93 inch2

    457.3 W/inch3 11.5 W/g 142.5 W/inch3 4.6 W/g

    18V-80V, 75W Miniaturized Telecom Converter

    M. Chen, et al “MultiTrack Power Conversion Architecture,” IEEE Transactions on Power Electronics, Vol. 32, No. 1, pp. 325-340, January 2017.

    Approach yields better volume, weight and temperature rise

    IEEE PEAC 2018 No Reprint Without Authorization

  • Benchmark Results

    HF

    MultiTrack

    1. 3x higher power density 2. Best-in-class efficiency3. Lower board temperature

    GaN

    0

    50

    100

    150

    200

    250

    300

    350

    400

    450

    500

    88.5% 89.0% 89.5% 90.0% 90.5% 91.0% 91.5%

    Pow

    er D

    ensi

    ty (W

    /inch

    3 )

    Peak Efficiency at 48 Vin (%)

    Delta DelphiE36

    Synqor PQ400

    ABB PowerOne UIS

    GE Hammerhead

    muRata UWSDelta DelphiV36

    Ericsson PKU

    MultiTrackGaN, 800k-1MHz75 W, 18 V-80 Vin, 5 Vout453 W/inch3

    CommercialSilicon,

  • Multitrack PFC

    The multitrack approach can also be applied to advance performance in other wide-operating-range conversion applications E.g., multi-track PFC conversion over universal input Similar benefits to components, operating range, construction

    vOUT-DC

    DA

    SA

    DB

    SB

    S1

    S2

    S3

    S4CB

    vIN-ACLR

    Q1

    Q2

    Q3

    Q4

    C1

    C2

    W1

    W2

    vIN

    Z1

    Z2

    C3

    W3

    Switched Inductor

    Switched Capacitor

    Rectifier

    Magnetics Isolation

    CIN

    COUTvX

    vY

    vBUS

    Reduced inductor stress / size

    Multiple modes, wide-range ZVS

    give high efficiency over universal input

    Reduced device voltages and

    transformer ratioIEEE PEAC 2018 No Reprint Without Authorization

  • Multitrack PFC

    First-generation prototype demonstrates the promise of this approach 150 W, Universal Input, 12 V output 1-4 MHz switching frequency 50 W / in3, 92% efficiency MUCH higher performance possible

    M. Chen, et al “Multitrack Power Factor Correction Architecture,” IEEE Transactions on Power Electronics, (to appear).

    0.9

    0.91

    0.92

    0.93

    0.94

    0.95

    0.96

    0.97

    0 10 20 30 40 50 60

    Effic

    ienc

    y

    Power Density (W/in3)

    Efficiency vs Power Density

    CommercialResearchMIT

    170 W

    325 W

    150 W

    310 W

    250 W

    600 W

    250 W

    Multitrack PFC power supply

    Minjie Chen et al (MIT, Princeton, TI)

    IEEE PEAC 2018 No Reprint Without Authorization

  • Hybrid SC/Magnetic Conversion

    Hybrid conversion techniques are developing quickly and are advantageous

    Lei and PilawaUIUC (ECCE15)

    Kesarwani and StauthDartmouth (COMPEL 16)

    Sanders et alUC Berkeley (COMPEL 15)Giuliano et al MIT (JESTPE 14)IEEE PEAC 2018 No Reprint Without Authorization

  • Example: High Step-Down, Variable-Output Conversion

    High step-down conversion is a requirement in many applications, such as chargers for portable devices Typically interface relatively high universal ac grid input (380

    Vpk) to (relatively low) 5 … 20 V dc load

    Chargers typically have fixed output of 5 … 20 V Growing interest in chargers that can accommodate

    any of these output voltages

    5 V 9 V 12 V 20 V

    ac/dc converter(“charger”)

    Grid dc output voltage5… 20 V

    Universal ac: 85 – 265 Vac

    15 V

    ac/dc converter(“charger”)IEEE PEAC 2018 No Reprint Without Authorization

  • Challenges to wide-range, large step-down

    Conventional designs often require large step-down ratio transformers

    Such transformers are often highly sub-optimal Conduction-loss dominated with poor efficiency Feasibility: Large number of primary turns (difficult especially

    if one would like an integrated “planar” transformer)

    The wide desired output voltage range also imposes challenges in well-utilizing the transformer

    Size and efficiency penalty for the system

    More sophisticated transformer / rectifier designs can address both of these problemsIEEE PEAC 2018 No Reprint Without Authorization

  • 22:1

    Minimizing Transformer Loss by Turns Selection

    In transformer design, absolute numbers of turns can be adjusted (while maintaining turns ratio) to minimize loss Loss optimized near where core loss and copper loss balanced We are often limited by a minimum single secondary turn!

    44:2

    Copper loss

    Core loss

    11:0.5Ideally…2Np:2 Np:1 1/2Np:1/2

    IEEE PEAC 2018 No Reprint Without Authorization

  • 22:1

    Minimizing Transformer Loss by Turns Selection

    44:2

    Copper loss

    Core loss

    11:0.5Ideally…2Np:2 Np:1 1/2Np:1/2

    How can we realize a “fractional turn” secondary to minimize total loss?IEEE PEAC 2018 No Reprint Without Authorization

  • Integrate Rectifier Operation with Inverter

    By utilizing more rectifier blocks distributed around the core, we can gain effective fractional turns! Termed a “Variable Inverter-Rectifier-Transformer”, or “VIRT”

    Single-turn secondary with full bridge rectifier

    Fractional turns with distributed full-bridge rectifiers: “VIRT”

    IEEE PEAC 2018 No Reprint Without Authorization

  • VIRT: Principle of Operation

    Np primary turns are wound on the center post (not shown)

    ac voltage applied to primary drives flux through the center post

    How the centerpost flux links each of the “fractional” turns is determined by the switching operation of the distributed rectifiers

    IEEE PEAC 2018 No Reprint Without Authorization

  • VIRT: Principle of Operation

    For symmetric operation of the distributed rectifiers as full bridges (“FB/FB”), each “half-turn” links half the flux

    Dc output voltage is inserted into the ac flux loop twice Vp/Np = 2 Vo

    We get two effective (Np/2):(1/2) transformers!

    𝒕𝒕

    𝒗𝒗𝒔𝒔

    - Vo +

    + Vo -𝟐𝟐𝟐𝟐𝒐𝒐

    −𝟐𝟐𝟐𝟐𝒐𝒐IEEE PEAC 2018 No Reprint Without Authorization

  • VIRT: Principle of Operation

    For symmetric operation of the distributed rectifiers as full bridges (“FB/FB”), each “half-turn” links half the flux

    Dc output voltage is inserted into the ac flux loop twice Vp/Np = 2 Vo

    We get two effective (Np/2):(1/2) transformers!

    𝟐𝟐𝟐𝟐𝒐𝒐

    𝒕𝒕

    𝒗𝒗𝒔𝒔

    −𝟐𝟐𝟐𝟐𝒐𝒐

    + Vo -

    - Vo +

    IEEE PEAC 2018 No Reprint Without Authorization

  • Identical Switch Loss for Same Transistor Area

    Although VIRT requires 2x the switches, each switch carries 1/2x the current (re the conventional case) Identical die area for the same loss and power transfer

    Io/2

    Io

    Io/2

    Conventional FB VIRT

    𝑃𝑃𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐 = 2𝑅𝑅𝑐𝑐𝑐𝑐

    2𝐼𝐼𝑐𝑐2 = 𝑅𝑅𝑐𝑐𝑐𝑐𝐼𝐼𝑐𝑐2 𝑃𝑃𝑐𝑐𝑐𝑐𝑐𝑐𝑐𝑐 = 4𝑅𝑅𝑐𝑐𝑐𝑐

    𝐼𝐼𝑐𝑐2

    2

    = 𝑅𝑅𝑐𝑐𝑐𝑐𝐼𝐼𝑐𝑐2

    NP:1

    NP/2:1/2

    NP/2:1/2

    IEEE PEAC 2018 No Reprint Without Authorization

  • VIRT: Variable Inverter Rectifier Transformer

    We now have multiple rectifiers. We can operate each rectifier set in different modes (switching patterns) Full Bridge (FB), Half Bridge (HB), Zero (0)

    We can use this to realize four different conversion ratios from the ac primary voltage to dc output voltage

    𝟐𝟐𝒑𝒑 𝟐𝟐𝒐𝒐

    VIRT

    IEEE PEAC 2018 No Reprint Without Authorization

  • VIRT Electrical Model

    Mode Switching pattern Output voltage Vp:Vo conversion ratioFB/FB • All switches active

    𝑉𝑉𝑐𝑐 = 𝑉𝑉𝑝𝑝1/2𝑁𝑁𝑝𝑝

    𝑁𝑁𝑝𝑝:12

    FB/HB • B2 held in low state• A1, A2, B1 active 𝑉𝑉𝑐𝑐 = 𝑉𝑉𝑝𝑝

    2/3𝑁𝑁𝑝𝑝

    𝑁𝑁𝑝𝑝:23

    HB/HB • A2, B2 held in low state• A1, B1 active 𝑉𝑉𝑐𝑐 = 𝑉𝑉𝑝𝑝

    1𝑁𝑁𝑝𝑝

    𝑁𝑁𝑝𝑝: 1

    HB/0 • A2, B1, B2 held in low state• A1 active 𝑉𝑉𝑐𝑐 = 𝑉𝑉𝑝𝑝

    2𝑁𝑁𝑝𝑝

    𝑁𝑁𝑝𝑝: 2

    x𝟐𝟐x4/3

    x4

    Fractional turns and reconfigurable conversion ratio!IEEE PEAC 2018 No Reprint Without Authorization

  • Prototype Stacked-Bridge LLC+VIRT Converter

    Stacked-bridge LLC: 120-380 Vdc input to 5 – 20 Vdc output (5A/36W)

    VIRT transformer/rectifier provides “fractional” turns and compresses output voltage range

    M.K. Ranjram, et al, “Variable-Inverter-Rectifier-Transformer: A Hybrid Electronic and Magnetic Structure…” IEEE Transactions on Power Electronics, 2018

    5VOutput Voltage

    20V

    FB/FB HB/HB HB/0FB/HB

    IEEE PEAC 2018 No Reprint Without Authorization

  • Simulated Performance (with and without VIRT)

    Simulated converter performance across output voltage Designs with and without mode changes and VIRT for Vin=190 V, Iout = 5 A (@ 7.2 Vout)IEEE PEAC 2018 No Reprint Without Authorization

  • VIRT Prototype Implementation

    M.K. Ranjram, et al, “Variable-Inverter-Rectifier-Transformer: A Hybrid Electronic and Magnetic Structure…” IEEE Transactions on Power Electronics, 2018

    IEEE PEAC 2018 No Reprint Without Authorization

  • VIRT Enables High Efficiency Over Wide Vout

    Experimental Data

    IEEE PEAC 2018 No Reprint Without Authorization

  • Summary (1)

    Magnetics scaling poses fundamental challenges in power electronics design

    Improvements in semiconductor devices, integrated circuits / controls, magnetic materials, and packaging open the door to greatly improved power electronics

    Substantial improvements in size and performance of power electronics are possible through more sophisticated designs that judiciously leverage complexity

    Two examples: Multitrack conversion (dc/dc and ac/dc PFC) VIRT

    IEEE PEAC 2018 No Reprint Without Authorization

  • Summary (2)

    There is tremendous room for innovation and performance improvement with such techniques Architectures and topologies (including designs enabling HF) Improved passives, packaging and integration Better utilization of new semiconductor devices and controls

    Acknowledgements MIT Power Electronics Research Group Sponsors: Texas Instruments, NSF, ARPA-E, MIT CICS,

    Futurewei, …

    THANK YOU!

    IEEE PEAC 2018 No Reprint Without Authorization

  • IEEE PEAC 2018 No Reprint Without Authorization

  • Challenges

    Even at constant or improved total VA ratings of power devices, increased component counts (including controls, level shifters, drivers,…) can increase cost Modularity, integration, and improved passives and thermals

    can help mitigate this Better size, efficiency and performance can justify it

    More sophisticated designs require greater engineering design effort (at least the first time…) Validate performance and reliability across operating modes,

    manage mode transitions, more sophisticated startup requirements, more potential fault modes…

    Requires more sophisticated designers! Approaches provide the biggest initial benefit in: High-performance applications High-volume applications IEEE PEAC 2018 No Reprint Without Authorization

  • IEEE PEAC 2018 No Reprint Without Authorization

  • 8 Layer PCB with precisely controlled parasitics

    18V-80V, 75W Miniaturized Telecom Converter

    Small Volume Light Weight High Efficiency

    PCB Integrated TransformerModular Input Cells

    Discrete Logic, LDOs, Controls, Signal Buffers, …

    Modular Output Cells

    GaN Switches (from EPC) + Drivers for GaN (from Texas Instruments)IEEE PEAC 2018 No Reprint Without Authorization

  • Efficiency vs. Operating PointCommercialMultiTrack

    0.75

    0.75

    0.8

    0.8

    0.8

    0.84

    0.84

    0.86

    0.86

    0.86

    0.880.88

    0.88

    0.88

    0.890.89

    0.89

    0.89 0.9

    0.9

    0.9 0.9

    0.9

    0.9

    0.91 0.91

    Inpu

    t Vol

    tage

    (V)

    Output Current (A)0 5 10 15

    10

    20

    30

    40

    50

    60

    70

    80

    90

    0 5 10 1575

    80

    85

    90

    95

    Output Current (A)

    Effic

    ienc

    y (%

    )

    20V30V40V50V60V70V80V

    0 5 10 1575

    80

    85

    90

    95

    Output Current (A)

    Effic

    ienc

    y (%

    )

    20V30V40V50V60V70V75V

    0.8

    0.8

    0.85

    0.85

    0.87

    0.87 0.88

    0.88

    0.88 0.88

    0.89

    0.89

    0.89

    0.89

    0.90.9

    0.9

    0.910.91

    0.91

    0.920.92

    Inpu

    t Vol

    tage

    (V)

    Output Current (A)0 5 10 15

    10

    20

    30

    40

    50

    60

    70

    80

    90

    75V

    20V

    20V

    60V

    40V 40V80V

    60V

    IEEE PEAC 2018 No Reprint Without Authorization

  • 40 50 60 70 80 90 100

    Perc

    enta

    ge

    0

    0.05

    0.1

    MultiTrackCommercial

    Pixel Temperature (o

    C)

    30 35 40 45 50 55 60 65

    Perc

    enta

    ge

    0

    0.05

    0.1

    0.15

    MultiTrackCommercial

    Lower Cooling Requirements41.3 Vin, 5 Vout, 7 Aout, ~90% Efficiency

    Commercial

    MultiTrack MultiTrack

    Commercial 25oC

    60oC

    No Air Flow25oC 200 LFM Air Flow

    25oC

    105oC

    25oC Ambient

    Histogram of Pixel Temperature

    8oC lower AVG6oC lower MAX

    7oC lower AVG4oC lower MAXMultiTrack

    Commercial

    NO Fan

    With Fan

    NO Fan With Fan

    IEEE PEAC 2018 No Reprint Without Authorization

  • IEEE PEAC 2018 No Reprint Without Authorization

  • Prototype Stacked-Bridge LLC+VIRT Converter

    A 120-380 Vdc input to 5 – 20 Vdc output (5A/36W) experimental prototype is presented

    VIRT compresses output voltage Additional converter gain blocks (stacked-bridge and

    LLC) are used to interpolate output voltage

    IEEE PEAC 2018 No Reprint Without Authorization

  • VIRT Benefit for Efficiency is Clear

    IEEE PEAC 2018 No Reprint Without Authorization

  • VIRT vs. “Conventional” Alternative In VIRT, there exists another path for rectifier current to return and this return path is shorter than in the “conventional” alternative

    ac current must returnaround the outer core legs

    ac current can return through theother half-turn

    IEEE PEAC 2018 No Reprint Without Authorization

  • IEEE PEAC 2018 No Reprint Without Authorization

  • HB/0 Mode is Distinct, Review Magnetic Circuit Modeling

    Derive magnetic circuit model to create electrical model Need to describe current flow in system using closed

    current loops Start with the known current flows: primary windings and

    components of rectifier current inside core

    IEEE PEAC 2018 No Reprint Without Authorization

  • 1. Use “Virtual” Currents to Close the Loops

    Assume the rectifier currents return outside the core for modeling purposes only We invoke “virtual currents” to do this

    The components of ̂𝚤𝚤𝐴𝐴 and ̂𝚤𝚤𝐵𝐵 that are outside the core are “virtual”

    “virtual” current componentsIEEE PEAC 2018 No Reprint Without Authorization

  • 2. Invoke Second Virtual Current

    To cancel the virtual components of ̂𝚤𝚤𝐴𝐴 and ̂𝚤𝚤𝐵𝐵 we invoke an additional virtual current ̂𝚤𝚤𝐺𝐺 ≅ ̂𝚤𝚤𝐴𝐴 ≅ ̂𝚤𝚤𝐵𝐵

    Note that if we sum all of these currents, the “virtual” components are nulled and we obtain the original (real-world) current flow

    IEEE PEAC 2018 No Reprint Without Authorization

  • Model Current Flows Around Core Using Magnetic Circuit

    With current flow now in closed loops, can create magnetic circuit

    IEEE PEAC 2018 No Reprint Without Authorization

  • Associate External MMF with Transference Element

    With current flow now in closed loops, can create magnetic circuit In practice, MMF associated with short-circuit path of �̂�𝒊𝑮𝑮 is

    associated with small induced voltage due to small resistance RSH of ground-plane around core

    Model this using transference element ℒ [1]

    [1] E. R. Laithewaite, “Magnetic equivalent circuits for electrical machines,” Proceedings of the Institution of Electrical Engineers, vol. 114, no. 11, pp. 1805–1809, November 1967. IEEE PEAC 2018 No Reprint Without Authorization

  • Simplified Magnetic Circuit Model

    In the ideal case where RSH has zero resistance, and ℛ𝑪𝑪𝑪𝑪 = ℛ𝑪𝑪𝑪𝑪 magnetic circuit simplifies and we extract the electrical circuit model

    IEEE PEAC 2018 No Reprint Without Authorization

  • Symmetric vs. Asymmetric Operation

    Symmetric Operation: Both rectifiers operated in an identical manner (i.e. FB/FB or HB/HB modes)

    Asymmetric Operation: Any other configuration (e.g. FB/0 or HB/0 modes)

    Compared to symmetric operation, asymmetric modes have: 1. Worse core utilization (higher core loss for the same voltage)2. Smaller magnetizing inductance

    IEEE PEAC 2018 No Reprint Without Authorization

  • Comparison of Magnetic Circuit Models

    In HB/0 Mode, half-bridge cells A2, B1, and B2 are bypassed while A1 remains switching

    In the limit where the switch on-resistance and ground plane resistance are negligible, the MMF of the rectifier B winding is modeled by a transference element which approaches an open circuit

    Asymmetric Model Symmetric ModelHB/0 Mode

    IEEE PEAC 2018 No Reprint Without Authorization

  • Increased Core Loss in HB/0 Mode

    In HB/0 mode, the flux generated by the primary is ideally rejected from the right-side core leg

    Outer core leg must process all the flux, experiences up to twice the peak flux density compared to symmetric operation This yields increased core loss due to superlinear

    dependence of core loss on flux density

    Symmetric Asymmetric

    𝚽𝚽𝚽𝚽𝟐𝟐

    𝚽𝚽𝟐𝟐 𝚽𝚽

    𝚽𝚽

    IEEE PEAC 2018 No Reprint Without Authorization

  • IEEE PEAC 2018 No Reprint Without Authorization

  • Symmetric vs. Asymmetric Operation

    Symmetric Operation: Both rectifiers operated in an identical manner (i.e. FB/FB or HB/HB modes)

    Asymmetric Operation: Any other configuration (e.g. FB/HB, FB/0 or HB/0 modes)

    Compared to symmetric operation, asymmetric modes have worse core utilization

    Asymmetric-mode operation can be improved by Optimization of core geometry for asymmetric mdoes More advanced rectifier structures (e.g., “VIRT with Bypass”)

    IEEE PEAC 2018 No Reprint Without Authorization

  • Comparison of Magnetic Circuit Models

    In HB/0 Mode, half-bridge cells A2, B1, and B2 are bypassed while A1 remains switching

    In the limit where the switch on-resistance and ground plane resistance are negligible, the MMF of the rectifier B winding is modeled by a transference element which approaches an open circuit

    Asymmetric Model Symmetric ModelHB/0 Mode

    IEEE PEAC 2018 No Reprint Without Authorization

  • Increased Core Loss in HB/0 Mode

    In HB/0 mode, the flux generated by the primary is ideally rejected from the right-side core leg

    Outer core leg must process all the flux, experiences up to twice the peak flux density compared to symmetric operation This yields increased core loss due to superlinear

    dependence of core loss on flux density

    Symmetric Asymmetric

    𝚽𝚽𝚽𝚽𝟐𝟐

    𝚽𝚽𝟐𝟐 𝚽𝚽

    𝚽𝚽

    IEEE PEAC 2018 No Reprint Without Authorization

    Architectures and Topologies for High-Frequency, High-Density Power Conversion Passive Components DominateMiniaturizing Magnetics is DifficultOpportunities for AdvancesOpportunities for AdvancesNew System Architectures and TopologiesExample #1: Telecom ConverterTypical SolutionsChallenges in Wide-Input-Range dc-dcMultiTrack Power Conversion ArchitectureInternal Voltage-Conversion StressInternal Voltage-Conversion StressReduced Inductor SizeDevice Ratings and Conduction Loss18V-80V, 75W Miniaturized Telecom Converter18V-80V, 75W Miniaturized Telecom ConverterBenchmark ResultsMultitrack PFCMultitrack PFCHybrid SC/Magnetic ConversionExample: High Step-Down, Variable-Output ConversionChallenges to wide-range, large step-downMinimizing Transformer Loss by Turns SelectionMinimizing Transformer Loss by Turns SelectionIntegrate Rectifier Operation with InverterVIRT: Principle of OperationVIRT: Principle of OperationVIRT: Principle of OperationIdentical Switch Loss for Same Transistor AreaVIRT: Variable Inverter Rectifier TransformerVIRT Electrical ModelPrototype Stacked-Bridge LLC+VIRT ConverterSimulated Performance (with and without VIRT)VIRT Prototype ImplementationVIRT Enables High Efficiency Over Wide VoutSummary (1)Summary (2)幻灯片编号 38Challenges幻灯片编号 4018V-80V, 75W Miniaturized Telecom ConverterEfficiency vs. Operating PointLower Cooling Requirements幻灯片编号 44Prototype Stacked-Bridge LLC+VIRT ConverterVIRT Benefit for Efficiency is ClearVIRT vs. “Conventional” Alternative幻灯片编号 48HB/0 Mode is Distinct, Review Magnetic Circuit Modeling1. Use “Virtual” Currents to Close the Loops 2. Invoke Second Virtual CurrentModel Current Flows Around Core Using Magnetic CircuitAssociate External MMF with Transference ElementSimplified Magnetic Circuit ModelSymmetric vs. Asymmetric OperationComparison of Magnetic Circuit ModelsIncreased Core Loss in HB/0 Mode幻灯片编号 58Symmetric vs. Asymmetric OperationComparison of Magnetic Circuit ModelsIncreased Core Loss in HB/0 Mode