In Search of Powerful Circuits: Developments in Very High Frequency Power Conversion

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Massachusetts Institute of Technology Laboratory for Electromagnetic and Electronic Systems In Search of Powerful Circuits: Developments in Very High Frequency Power Conversion David J. Perreault Princeton April 28, 2014?? Circa 2016 20 kw Kenotron Rectifier, Circa 1926 (From Principles of Rectifier Circuits, Prince and Vogdes, McGraw Hill 1927) Server Power Supply, Circa 2006 (Manufactured by Synqor)

Power Electronics The function of power electronic circuits is the processing and control of electrical energy Modern electrical and electronic devices require power electronics Lighting, computation and communication, electromechanical systems (e.g., motors), renewable generation, In 2005 ~ 30% of generated energy goes through power electronics; this is expected to be ~ 80% by 2030 (ORNL 2005) Power electronic circuitry is often a major factor determining system size, functionality, performance and efficiency LED lightbulb and driver Lighting, Power supplies Distributed renewables Inverter for Prius HEV Microinverter for photovoltaic systems (Modified from Tolbert et al, Power Electronics for Distributed Energy Systems and Transmission and Distribution Applications, ORNL 2005)

Structure of Power Electronic Systems Control Input Filter Power Stage Output Filter Power processing with (ideally) lossless components Switches, inductors, capacitors, transformers, Ancillary elements Control, heat sinking, filtering System operates cyclically Draw some energy (switches) Store in energy storage (L s, C s) Transform Transfer to output Often specified to operate over wide voltage, current and power ranges

Passive Components Dominate Passive components dominate the size of power electronics Also limit cost, reliability, bandwidth, A Voltage Regulator Module for a computer A 25 W Line Connected LED Driver

Motivations for Frequency Increases Goals Miniaturization Integration Increased performance (bandwidth ) Commercial LED Driver 100 khz 21 W 85% eff 4.8 W/in 3 Passive energy storage components (especially magnetics) are the dominant constraint Energy storage requirements vary inversely with frequency: C,L proportional to f -1 Volume can be scaled down with frequency But, often scales down slowly with frequency Magnetic core materials especially impact frequency scaling Integration / batch fabrication of passives imposes further challenges Perreault, et. al., Opportunities and Challenges in Very High Frequency Power Conversion, APEC 2009

Switching Frequency Limitations Loss mechanisms in power electronics limit switching frequencies Relative importance of different losses depends on power, voltage Gating loss ( f ) Switching loss ( f ) Magnetics loss ( f k ) I SW (t) V SW (t) time p(t) time

Design Requirements and Device Capabilities Application requirements also impose limits on miniaturization, integration and performance e.g., line-frequency energy buffering requirement for singlephase grid interface imposes significant size constraints Large conversion ratios, wide voltage or power ranges, isolation requirements, etc., impact achievable size Devices & characteristics available in different operating regimes also greatly impact performance CMOS at low voltages (e.g., a few V) and power levels Integrated LDMOS at moderate voltages (10 s to 100 s V) at low power Discrete devices at high voltage and/or power levels Vertical Si devices GaN-on-Si devices SiC devices

Very High Frequency Power Conversion Objective: develop technologies to enable miniaturized, integrated power electronics operating at HF and VHF (3 300 MHz) To achieve miniaturization and integration: Circuit architectures, topologies and controls for HF/VHF Develop approaches that overcome loss and best leverage devices and components available for a target space Devices Optimization of integrated power devices, design of RF power IC converters, application of new devices (e.g., GaN) Passives Synthesis of integrated passive structures incorporating isolation and energy storage Investigation and application of VHF-compatible magnetic materials Integration Integration of complete systems Circuits Magnetics Devices

System Examples Low-voltage, low-power step-down conversion for battery-powered systems CMOS devices Hybrid capacitor/magnetic conversion Moderate voltage, low power Isolated dc-dc converter for power supply applications Integrated LDMOS devices PCB integrated magnetics Grid voltage, moderate power Grid-interface LED driver system Line frequency energy buffering and power factor correction Discrete GaN-on-Si devices Hybrid capacitor/magnetic conversion

Switching Frequency Limitations At moderate voltage levels, ALL of gating, switching and magnetics losses are important constraints on switching frequency Gating loss ( f ) Switching loss ( f ) Magnetics loss ( f k ) I SW (t) V SW (t) time p(t) time

Switching Frequency Solutions Minimize frequency dependent device loss, switch fast enough to eliminate/minimize magnetic materials, enable PCB integration Resonant gating ZVS Soft switching Coreless magnetics in package or substrate Sagneri, MIT, 2011 V D (t) Low-permeability RF magnetic materials

Topology Implications for VHF Conversion V in R L Inverter Inverter Matching Network Transformation Stage Rectifier Rectifier Driving high-side flying switches becomes impractical Circuit operation must absorb parasitics device capacitances, interconnect inductance, Topology & device constraints impose limits Topologies are often sensitive to operating conditions Resonant gating, ZVS topologies limit control Fixed frequency and duty ratio controls become preferable

Inverter Topology: Ф 2 Inverter v DS (idealized) Multi-resonant network shapes the switch voltage to a quasi-square wave Network nulls the second harmonic and presents high impedance near the fundamental and the third harmonic Reduces peak voltage ~ 25-40% as compared to class E Reduces sensitivity of ZVS switching to load characteristics No bulk inductance (all inductors are resonant) Small inductor size Fast transient performance for on-off control Absorbs device capacitance in a flexible manner t Rivas, et. al., A High-Frequency Resonant Inverter Topology with Low Voltage Stress, Trans. P.E., July 2008

Isolated VHF dc-dc Topology Isolated Φ 2 inverter, resonant rectifier Single-switch resonant Inverter and resonant rectifier ZVS switching waveforms with low voltage stress Device, transformer parasitics fully absorbed provide Φ 2 inverter and rectifier tuning Fixed frequency and duty ratio enables resonant gate drive of M 1 On-off control to regulate output Transformer design critical to obtain desired tuned operation May be implemented as a planar PCB structure

Planar PCB Transformer Implementation The transformer inductance matrix is fully constrained by converter design Implement in printed circuit board Achieve characteristics by careful geometry selection Select structure that best trades size and loss Primary Sec. 1 Sec. 2 Sec. 3 Sagneri, et. al., Transformer Synthesis for VHF Converters, 2010 International Power Electronics Conference, June 2010

Integrated Switch and Controls Power applications often require integrated switches and controls in low-cost processes (e.g., LDMOS devices in a BCD process) With device layout optimization one can achieve VHF operation (30-300 MHz) with conventional (low-cost) power processes Circuit/Device co-optimization: Optimize device layout for specific circuit waveforms Take advantage of soft switching trajectory in device design >55% loss reduction demonstrated through this method Gating Conduction Displacement Simulated Resonant Trajectory Ideal Hard- Switched Trajectory Sagneri, et. al., Optimization of Integrated Transistors for Very High Frequency dc-dc Converters, Trans. P.E (July 2013)

Integrated VHF Converter in BCD Process Isolated converter Half-sine resonant gate drive Integrated controls and power devices 41

Prototype Isolated Φ 2 Converter 6 W, 75 MHz isolated converter 8-12 V input, 12 V output On-off control to regulate output ZVS switching, resonant gating to achieve VHF Printed-circuit-board transformer Integrated switch, resonant driver and controls ABCD5 process

Prototype Isolated Φ 2 Converter Results ZVS Resonant waveforms over operating range Efficiency 66%-76% across voltage, load range Half-sine resonant gate driver Pgate ~ 110 mw @ 75 MHz, ~ 3x improvement over hard gating

Prototype 75 MHz Integrated Converters Isolated Φ 2 Converter Φ 2 Boost Converter 6W, 73% efficiency 14W, 85% efficiency Non-isolated (boost) variant with PCB-integrated magnetics also demonstrated Non-isolated version yields higher power, efficiency, power density Many related topology variants Pilawa-Podgurski, et. al., Very High-Frequency Resonant Boost Converters, Trans. P.E. June 2009

Power Density, Efficiency, Integration

System Examples Low-voltage, low-power step-down conversion for battery-powered systems CMOS devices Hybrid capacitor/magnetic conversion Moderate voltage, low power Isolated dc-dc converter for power supply applications Integrated LDMOS devices PCB integrated magnetics Grid voltage, moderate power Grid-interface power conversion Line frequency energy buffering and power factor correction Discrete GaN-on-Si devices Hybrid capacitor/magnetic conversion

High Voltage, Moderate Power Many electronic systems operate at 100 s of Volts and 10 s 100 s of Watts Conventional designs typically operate at 50 khz 500 khz Application requirements: Discrete power devices and passives can be used Integration of passives desired but not presently typical Single-phase grid interface requires twice-line frequency energy buffering Higher switching frequency does not help with this To increase switching frequency, must address: Switching loss (ZVS soft switching) Circuit parasitics (capacitance and inductance limits)

Example: Solid-State Lighting Drivers Today: η ~ 60-90% Power density of commercial designs < 5 W/in 3 Largest components are typically magnetic elements (inductors, transformers) Second largest are usually electrolytic capacitors for linefrequency energy storage Switching frequencies typically ~ 100 khz Power factor / line-frequency energy buffering is also an important consideration PF of 0.7 (residential) or 0.9 (commercial) is desired but often NOT achieved

Twice-line-frequency energy buffering Interface between (continuous) dc and single-phase ac requires buffering of twice-line-frequency energy Energy storage requirement is independent of switching frequency Electrolytic capacitors are energy dense but have temperature and lifetime limits Added Goal: Achieve energy buffering (for high pf and continuous output) at high power density without electrolytics

Application Background Operation from ac-line-voltage inputs (to 200 V peak) to moderate outputs (~30 V) at low powers (~10-50 W) Resonant circuits at high voltage and low current lead to very small capacitance limits and large inductor values Challenging to achieve with integrated magnetic components Increase in frequency reduces both L s, C s Minimum practical capacitances can limit frequency Design approach selected to enable minimal magnetics and improved integration possibilities Stacked architectures to reduce subsystem operation voltage Multi-stage/merged conversion techniques Topologies selected for small magnetics size

HF dc-dc Power Stage High-frequency dc-dc conversion block (50-100 V in, ~25-40 V out) Enables small Inductance and possible Integration! Resonant transition inverted buck circuit at edge of DCM Low voltage stress enables operation with significant device capacitance Small magnetics (700-1000 nh inductor for 100 V input) ZVS / near ZVS with PWM control of output power ground referenced switch for HF switching operation (~5-10 MHz) PWM on-time control for 50-100 V input range at ~25-50 V output

HF dc-dc Power Stage Efficiency (%) 97 96 95 94 93 92 91 90 89 88 87 86 Discrete Prototype V in =100 V, V out = 35 V, f sw ~ 7.8 MHz Efficiency vs. Output Power, 100 V input, 35 V output fan no fan 0 5 10 15 20 25 30 35 40 45 Power (watts)

HF Inverted Buck Converter Control peak inductor current is controlled by changing switch on-time Enables continuous modulation of power at high frequency turn on at ZVS / near ZVS voltage

Architectural Strategy Use a stacked circuit architecture to enable processing of high input voltage with lower-voltage blocks Enables resonant-transition inverted buck conversion blocks to be used for energy processing at high frequency Buffer line-frequency energy at relatively high voltage with large voltage swing to minimize capacitor size Can use film or ceramic capacitors, eliminating electrolytic capacitors while maintiaining high power density This is important because energy buffering depends upon line frequency, and not upon switching frequency

HF AC-DC Architecture Two stacked regulating converters operating at HF Generate regulated voltages across C R1, C R2 Capacitor C 2 buffers twice-line-frequency energy (with high voltage fluctuation over the ac line cycle) Capacitor C 1 enables capacitor stack voltage to track line voltage

HF AC-DC Architecture front end 0.95 power factor can be achieved for a clipped-sine input current (sine current flows when input voltage is above 100 V (120 Vac case) At a given input current with a certain power factor, there are currents i 1 and i 2 satisfying steady state conditions for v c1, v c2 over the ac line cycle

Stacked Converter Model Simulation Example current and voltage waveforms For desired input power, calculate i 1 and i 2 currents over the ac line cycle (command for the individual dc-dc conversion blocks) Constant output power supplied to load

Prototype Converter Power combining converter HF buck converter Two stacked HF buck converters modulate input power across the ac line cycle, causing desired input current waveform and providing energy buffering in C 2 SC circuit combines the power from converters to supply the load

SC Power Combining Converter Power combining converter Interleaved switched capacitor charge transfer circuit Delivers power from C r1 to C r2 (output port) Operates at ~30kHz with 50% duty ratio High efficiency operation May be expanded: Isolated power combining converters are also possible Universal-input power converters

Experimental Results 15uF x 15 = 225 uf MLCC ac energy buffer capacitor ( works as 50 uf at 70V): eliminates electrolytic capacitors at modest size Buck converters each use a miniature ~800 nh inductor Overall 93.3% efficiency at 30W output power 0.89 power factor (higher performance appears possible)

Prototype Power Density PCB board volume Buffer Capacitor 9.55 4.54 37.04 Digital Isolator Connector HF stage control MISC 9.99 SC stage capacitor Protection HF stage switch and diode HF stage inductor 28.38 SC stage control SC stage switch 1.9 x 1.4 x 0.45 inch, 25 W/in 3 box power density Displacement volume: 0.23 in 3, Power density: 130.55 W/in 3 Digital isolator, Connector, HF stage control volume, pcb volume and layout can be further optimized

Many Opportunities for Advances! Improved architectures, topologies and control methods Phase-shift control / outphasing at VHF offers large performance gains (e.g., load modulation control of VHF power converters) Synchronous rectification (for higher efficiency at low voltages) is feasible at VHF (especially with CMOS rectifiers) Hybrid GaN / Si Converters for large voltage step down 27.12 MHz 100 W RF Inverter System with Outphasing Control of 4 inverters Integrated 50 MHz CMOS step-down rectifier 27.12 MHz 25 W GaN Class E Inverter optimized for load modulation and outphasing A.S. Jurkov, et al, Lossless Multi-Way Power Combining and Outphasing for High-Frequency Resonant Inverters, IPEMC 2012 W. Li et al, Switched-Capacitor Rectifier for Low-Voltage Power Conversion, APEC 2013

Many Opportunities for Advances! Bulk Low-μ RF magnetic materials are advantageous to beyond 60 MHz e.g., 30 MHz, 1 A, 200 nh inductors Smaller size, higher Q New integrated thinfilm magnetic designs provide ultra-high density at up to 100 MHz Sullivan, Dartmouth relative permeability 1000 100 10 1 0.1 10 100 1000 3000 f (MHz) We can still leverage cored magnetics at frequencies to ~ 100 MHz µ r µ r Q Charles Sullivan, Dartmouth Han, et. al., Evaluation of magnetic materials for very high frequency power applications, Trans. P.E, Jan. 2012 Araghchini, et. al., A Technology Overview of the PowerChip Development Program, Trans. P.E., Sept. 2013

Summary Higher frequency offers the potential for miniaturization, integration, bandwidth Must overcome device and magnetics losses and manage parasitics Appropriate system design methods enable operation at HF and VHF frequencies Correct strategy depends upon operating regime (voltage / power), device characteristics, integration requirements Example strategies shown for two operating regimes Low voltage, low power: CMOS devices, mixed SC/magnetic, hybrid fabrication Mid voltage, low power: integrated LDMOS, pcb magnetics High voltage, mid power: discrete GaN, mixed SC/magnetic Feasibility and advantage of these approaches have been demonstrated Outperform more conventional implementations The potential for further improvements is large