using coupled inductors to enhance transient …...1 ibm symposium september 14-15, 2004 using...

1IBM SymposiumSeptember 14-15, 2004

Using Coupled Inductors to Enhance Using Coupled Inductors to Enhance Transient Performance of MultiTransient Performance of Multi--Phase Phase

Buck ConvertersBuck Converters

JieliJieli LiLiAnthony Anthony StratakosStratakos, Aaron Schultz, Aaron Schultz

Volterra Semiconductor Corp.Volterra Semiconductor Corp.Charles SullivanCharles Sullivan

Dartmouth College Dartmouth College

2IBM SymposiumSeptember 14-15, 2004

0

1

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3

1996 1998 2000 2002 20040

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100

120

140

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200

VoltageVoltage

CurrentCurrent

Supp

ly V

olta

ge [V

]Su

pply

Vol

tage

[V]

Cur

rent

[A]

Cur

rent

[A]

Nor

mal

ized

Cap

acita

nce

Nor

mal

ized

Cap

acita

nceCapacitanceCapacitance

Processor Power Supply Trends Processor Power Supply Trends Increase CapacitanceIncrease Capacitance

With successive processor generations: Vcc ↓, Icc ↑

C ∝ (Icc / Vcc)2 ⇒ > 200x increase in Cout from ‘99 to ‘04

Processor decoupling is becoming prohibitively large and expensiProcessor decoupling is becoming prohibitively large and expensiveve

3IBM SymposiumSeptember 14-15, 2004

Ideal Unloading Transient ReviewIdeal Unloading Transient Review

diLdt

-VOL

=

∆Q

iLiO

∆iO

∆VCVC

VCCeC

urre

nt

Time

ESR

ESL+

VC_

iL+

VCC

_

io

uP load

CompositeL

L(∆iO+iR)2

VCC • C12 •

iR

ParasiticSpike• Parasitic spike ∝ ESR, ESL

AC

Vol

tag

∆VC =

Time

Minimize C through smaller LMinimize C through smaller L

4IBM SymposiumSeptember 14-15, 2004

Small L Hurts SteadySmall L Hurts Steady--StateState

+VC-

L

iL

RS

Ron

IPP

iL

Ron C

IPP =Vin - Vout

L DT

Increased AC current and conduction loss

Fundamental trade-off with L:Large L Slow response and large Cout requirementSmall L High current ripple and loss

5IBM SymposiumSeptember 14-15, 2004

Volterra’s Patented Coupled Buck Volterra’s Patented Coupled Buck TopologyTopology

Multi-phase converter magnetically coupled to cancel AC flux and ripple current

Single magnetic structure replaces multiple discrete inductors

Enables use of smaller inductor values to improve transient without increasing current ripple

Allows significant reduction in output capacitance

6IBM SymposiumSeptember 14-15, 2004

Conventional MultiConventional Multi--Phase BuckPhase Buck

L1

L2

Cout

vout

vx,1

vx,2

vin

Reduced Ripple

Full Ripple

…

vx,n

…Ln

Current ripple cancellation in capacitors reduces voltage rippleCurrent ripple cancellation in capacitors reduces voltage ripple

7IBM SymposiumSeptember 14-15, 2004

Volterra’sVolterra’s Coupled BuckCoupled Buck

L1

L2

Cout

vout

vx,1

vx,2

vin

Reduced Ripple

…

vx,n

…Ln

With coupled inductor, the ripple cancellation is extended With coupled inductor, the ripple cancellation is extended to inductors and switchesto inductors and switches

8IBM SymposiumSeptember 14-15, 2004

Circuit Model for TwoCircuit Model for Two--Winding StructureWinding Structurevin model of two-winding structure

Lℓvx,1

vx,2

ideal transformer

Lℓ

vy,1

vy,2vout

Cout

Steady-state, ideal coupling:

T0

vinvx,1

vinvx,2

vy ?

9IBM SymposiumSeptember 14-15, 2004

Circuit Model for TwoCircuit Model for Two--Winding StructureWinding Structurevin model of two-winding structure

Lℓvx,1

vx,2

ideal transformer

Lℓ

vy,1

vy,2vout

Cout

Steady-state, ideal coupling:Transformer ac currents equal.

T0

vinvx,1

vinvx,2

vy ?

10IBM SymposiumSeptember 14-15, 2004

Circuit Model for TwoCircuit Model for Two--Winding StructureWinding Structurevin model of two-winding structure

Lℓvx,1

vx,2

ideal transformer

Lℓ

vy,1

vy,2vout

Cout

Steady-state, ideal coupling:Transformer ac currents equal.Inductor ac currents equal.

T0

vinvx,1

vinvx,2

vy ?

11IBM SymposiumSeptember 14-15, 2004

Circuit Model for TwoCircuit Model for Two--Winding StructureWinding Structurevin model of two-winding structure

Lℓvx,1

vx,2

ideal transformer

Lℓ

vy

vyvout

Cout

Steady-state, ideal coupling:Transformer ac currents equal.Inductor ac currents equal.Equal Lℓ’s have equal voltage for equal ac current.

T0

vinvx,1

vinvx,2

vy ?

12IBM SymposiumSeptember 14-15, 2004

Circuit Model for TwoCircuit Model for Two--Winding StructureWinding Structure

vout

Lℓ

Cout

vx,1

vx,2

ideal transformer

Lℓ

vy

vy

vinmodel of two-winding structure

Steady-state, ideal coupling:Transformer ac currents equal.Inductor ac currents equal.Equal Lℓ’s have equal voltage for equal ac current.vy’s equal, equal to average of vx’sLike doubling switching frequency, halving Vin.0 T

vin

vin

vin/2

vx,2

vy

vx,1

13IBM SymposiumSeptember 14-15, 2004

Ripple Current ReductionRipple Current Reductionuncoupled, ∆Ipp = 11.72A coupled, ∆Ipp = 5.12A

Vx1

Vx2

iL1

Vx1

iL1

2-phase buck converter with Vin=12V,Vout=1.6V,fs=1MHzSame phase inductance (125nH), same probe scale

The ripple is reduced by more than 2x of the uncoupledThe ripple is reduced by more than 2x of the uncoupled

14IBM SymposiumSeptember 14-15, 2004

Ripple Reduction RatioRipple Reduction Ratio

Ripple Reduction Ratio

0.0

0.1

0.2

0.3

0.4

0.5

0.00 2.00 4.00 6.00 8.00 10.00 12.00

Vout [V]

RR

N=2N=3N=4N=5

Vin=12V

Example:Vout=1.2VN RR2 44.4%3 25.9%4 16.7%5 11.1%

Compared with same inductance value, without coupling

MultiMulti--phase coupling enables greater ripple cancellationphase coupling enables greater ripple cancellation

15IBM SymposiumSeptember 14-15, 2004

MultiMulti--Phase Coupled InductorPhase Coupled Inductor

The “ladder” structure has the best coupling

16IBM SymposiumSeptember 14-15, 2004

DC Flux PathDC Flux Path

DC flux generated by each winding goes through high reluctance path

17IBM SymposiumSeptember 14-15, 2004

AC Flux PathAC Flux Path

AC flux generated by each winding goes to others through low reluctance path

18IBM SymposiumSeptember 14-15, 2004

Patented StructurePatented Structure

Multi-phase coupled inductor structureScalable to n-phase Surface mountProduction worthy

19IBM SymposiumSeptember 14-15, 2004

Photo of 4Photo of 4--Phase InductorPhase Inductor

4 discrete 100nH inductors

4-phase 50nH coupled inductor

4-phase coupled inductor sample4 identical core cells Each cell is 9mm x 7mm x 4mmPer phase inductance is 50nHMagnetizing inductances are 279nH, 479nH, 472nH, 273nH

20IBM SymposiumSeptember 14-15, 2004

System Test SetupSystem Test Setup

4 phase coupled buck

50nH per phase

Small bank of MLCC output capacitors

Volterra’s power delivery chipset with integrated FETs & Drivers

Cin

coupled inductor

Cout

Integrated driver/FET ICs (under heatsink)

21IBM SymposiumSeptember 14-15, 2004

Steady State WaveformsSteady State Waveforms

Measurement Simulation

12V/1.2V/1.2MHz/4-phaseCurrent probed by inserting extra wire in seriesFor phase 2, Ipp = 3.4A. Other phases measured similar Ipp.

22IBM SymposiumSeptember 14-15, 2004

Transient WaveformsTransient Waveforms

Load step from 80A to 12.5A (85% load step)A small bank of MLCC-only output capacitance∆V is only 71.6mV

23IBM SymposiumSeptember 14-15, 2004

Transient ComparisonTransient Comparison

Coupled inductor, 50nH/phase∆V = 71.6mV

Uncoupled inductor, 100nH/phase∆V = 136.5mV

Same converter conditions with same load steps and output capCoupled inductor reduces the overall voltage window by half

24IBM SymposiumSeptember 14-15, 2004

Efficiency ComparisonEfficiency Comparison

Output Current

Effic

ienc

y50nH coupled 100nH uncoupled

With coupled inductor, transient improves without efficiency penWith coupled inductor, transient improves without efficiency penaltyaltyIf using 50nH uncoupled, efficiency is down by 3~4%

25IBM SymposiumSeptember 14-15, 2004

ConclusionsConclusions

50% output capacitor reduction is achieved by coupled buck topology without penalty in efficiency

A production-worthy surface-mount scalable 4-phase coupled inductor is demonstrated

The 4-phase coupled inductor reduces ripple current by more than 4x from the uncoupled value

Demanding transient requirement of a modern CPU is met using only a small bank of MLCC capacitors