Copyright Agrawal, 2011ELEC5270/6270 Spr 15, Lecture 71 ELEC 5270/6270 Spring 2015 Low-Power Design...

Copyright Agrawal, 2011Copyright Agrawal, 2011 ELEC5270/6270 Spr 15, Lecture 7ELEC5270/6270 Spr 15, Lecture 7 11

ELEC 5270/6270 Spring 2015ELEC 5270/6270 Spring 2015Low-Power Design of Electronic CircuitsLow-Power Design of Electronic Circuits

Energy Source DesignEnergy Source Design

Vishwani D. AgrawalVishwani D. AgrawalJames J. Danaher ProfessorJames J. Danaher Professor

Dept. of Electrical and Computer EngineeringDept. of Electrical and Computer EngineeringAuburn University, Auburn, AL 36849Auburn University, Auburn, AL 36849

[email protected]://www.eng.auburn.edu/~vagrawal/COURSE/E6270_Spr15/

course.html

OutlineOutline Energy source optimization methodsEnergy source optimization methods

Voltage and Clock Management Voltage and Clock Management Functional ManagementFunctional Management

Voltage and Clock Management (DVFS)Voltage and Clock Management (DVFS) BackgroundBackground

A typical system powered with batteryA typical system powered with battery Battery Simulation ModelBattery Simulation Model DC to DC converterDC to DC converter

Problem statementProblem statement Case I : System is Performance boundCase I : System is Performance bound Case II : A higher battery lifetime is requiredCase II : A higher battery lifetime is required Case III : Battery weight or size is constrainedCase III : Battery weight or size is constrained

Copyright Agrawal, 2011Copyright Agrawal, 2011 22ELEC5270/6270 Spr 15, Lecture 7ELEC5270/6270 Spr 15, Lecture 7

Copyright Agrawal, 2011Copyright Agrawal, 2011 33

Energy Source Optimization MethodsEnergy Source Optimization Methods

• Dynamic Voltage Management • Multi-Voltage design

• Dynamic Frequency Management • Retiming

• Fetch Throttling• Dynamic Task Scheduling • Instruction Slowdown• Low Power solutions to common operations e.g. Low Power FSMs, Bus Encoding etc

• Dynamic Voltage and Frequency Scaling (DVFS)

ELEC5270/6270 Spr 15, Lecture 7ELEC5270/6270 Spr 15, Lecture 7


Energy Source Optimization MethodsEnergy Source Optimization Methods

Dynamic Voltage and Frequency Scaling (DVFS)

Instruction Slowdown Method

in Processors

Parallel Architectures


Powering a SystemPowering a System


VB +_

RB

VLRL

IL

AHr(capacity)


Current and Load PowerCurrent and Load Power


Current: IL = VB / (RB + RL)

Power supplied to load: PL = IL2 RL

= VB2 RL/ (RB + RL)2

PLmax = VB2 / (4RB), maximum power when RL = RB

Battery Lifetime, Power, EfficiencyBattery Lifetime, Power, Efficiency


Power supplied from battery:

PB = IL2 (RB + RL)

= VB2 / (RB + RL)

Battery Efficiency = PL /PB = RL / (RB + RL)

Ideal lifetime of battery = Ahr / IL

= Ahr . (RB + RL) / VB

Where AHr is battery capacity in ampere-hours

Lifetime, Power and EfficiencyLifetime, Power and Efficiency


1.0

0.8

0.6

0.4

0.2

0.0

Eff

icie

ncy

or P

ower

0 1 2 3 4 5 6 7 8RL/RB

Life

time

(x A

Hr.

RB /

VB)

10

8

6

4

2

0

Lifetime

Efficiency

PL = VB2/(4RB)


(Maximum power transfer theorem)


Power Subsystem of an Electronic SystemPower Subsystem of an Electronic System

DC – DCVoltage

Converter

Electronic System

4.2 V to 3.5 V Lithium- ion

Battery

Decoupling Capacitor

VDD

GND


See Lecture 12 on Power and Ground from ELEC 7770:http://www.eng.auburn.edu/~vagrawal/COURSE/E7770_Spr14/course.html

Some CharacteristicsSome Characteristics

Lithium-ion batteryOpen circuit voltage: 4.2V, unit cell 400mAHr, for

efficiency ≥ 85%, current ≤ 1.2ADischarged battery voltage ≤ 3.0V

DC-to-DC converterSupplies VDD to circuit, VDD ≤ 1V for nanometer

technologies.VDD control for energy management.

Decoupling capacitor(s) provide smoothing of time varying current of the circuit.



Battery Simulation ModelBattery Simulation ModelLithium-ion battery, unit cell capacity: N = 1 (400mAHr)Battery sizes, N = 2 (800mAHr), N = 3 (1.2AHr), etc.

Ref: M. Chen and G. A. Rincón-Mora, “Accurate Electrical Battery Model Capable of Predicting Runtime and I-V Performance,” IEEE Transactions on Energy Conversion, vol. 21, no. 2, pp. 504–511, June 2006.


Model: Battery Lifetime PartModel: Battery Lifetime Part

SOC: State of charge = VSOC: State of charge = VSOCSOC

VVSOCSOC = 1 volt, for fully charged battery. = 1 volt, for fully charged battery.

CCCapacityCapacity = 3600 = 3600 ✕ AHr-rating ✕ f(Cycles) ✕ f(Temp)✕ AHr-rating ✕ f(Cycles) ✕ f(Temp) f(Cycles), f(Temp): effects of dropping capacity f(Cycles), f(Temp): effects of dropping capacity

with number of recharges and temperature. with number of recharges and temperature. Both are close to 1.Both are close to 1.

RRself-Dschargeself-Dscharge : A large leakage resistance. : A large leakage resistance.


Voltage-Current CharacteristicVoltage-Current CharacteristicDetermined from experimental data.Determined from experimental data.Open circuit voltage:Open circuit voltage:

V = V = −1.031e−1.031e−35×SOC−35×SOC + 3.685 + 0.2156 × SOC + 3.685 + 0.2156 × SOC −0.1178 × SOC−0.1178 × SOC22 + 0.3201 × SOC + 0.3201 × SOC33

RRSeriesSeries = 0.07446 + 0.1562 e = 0.07446 + 0.1562 e – – 24.3724.37××SOCSOC Other resistance and capacitance are also Other resistance and capacitance are also

non-linear functions of SOC and represent non-linear functions of SOC and represent short-term (S) and long-term (L) transient short-term (S) and long-term (L) transient effects.effects.



Lifetime from Battery SimulationLifetime from Battery Simulation

1008 sec


Battery EfficiencyBattery EfficiencyConsider:

1.2AHr batteryIBatt = 3.6AIdeal Lifetime = 1.2AHr/3.6A

= 1/3 hour (1200s)Actual lifetime from simulation = 1008sEfficiency = (Actual lifetime)/(Ideal lifetime)

= 1008/1200

= 0.84 or 84%


DC-to-DC Buck (Step-Down) ConverterDC-to-DC Buck (Step-Down) Converter Components:

Switch (FETs, VDMOS), diode, inductor, capacitor.

Switch control: pulse width modulated (PWM) signal.

Vs = D · Vg,

D is duty cycle of PWM control signal.


Source: R. W. Erickson, “DC to DC Power Converters, “ Wiley Encyclopedia of Electrical and Electronics Engineering

s


Asynchronous DC-to-DC Buck ConverterAsynchronous DC-to-DC Buck Converter


Vref

+

–

L

C LoadVg

V

An Electronic System ExampleAn Electronic System Example A 32-bit Ripple Carry Adder (RCA)

352 NAND gates (2 or 3 inputs) 1,472 transistors

In order to realize a practical circuit and to generate sufficient current for the battery model, 200,000 copies of RCA were used.

That makes it 352 x 200,000 ≈ 70 million gate circuit.

Critical path: 32bit ripple-carry adder. Simulation model: 45nm bulk CMOS, predictive

technology model (PTM), http://ptm.asu.edu/ Copyright Agrawal, 2011Copyright Agrawal, 2011 1818ELEC5270/6270 Spr 15, Lecture 7ELEC5270/6270 Spr 15, Lecture 7

32-bit Ripple Carry Adder32-bit Ripple Carry Adder


A0 B0 C0=0

C1 S0

A1 B1

C2 S1

A31 B31

C32 S31

Critical Path VectorsCritical Path Vectors


Vector 1 C = 00000000000000000000000000000000A = 11111111111111111111111111111111B = 00000000000000000000000000000000S = 11111111111111111111111111111111

Vector 2 C = 11111111111111111111111111111110A = 11111111111111111111111111111111B = 00000000000000000000000000000001S = 00000000000000000000000000000000

32 bits

HSPICE Simulation of 32-Bit RCA, VDD = 0.9V HSPICE Simulation of 32-Bit RCA, VDD = 0.9V


Average total current, Icircuit = 74.32μA, Leakage current = 1.108μA100 random vectors including critical path vectors


Critical path vectors

2ns

HSPICE Simulation of 32-Bit RCA, VDD = 0.3V HSPICE Simulation of 32-Bit RCA, VDD = 0.3V


Average total current, Icircuit = 0.2563μA, Leakage current = 0.092μA

100 random vectors including critical path vectors


Critical path vectors

200ns

Finding Battery Current, IFinding Battery Current, IBattBatt

Assume 32-bit ripple carry adder (RCA) with about 350 gates represents circuit activity for the entire system.

Total current for 70 million gate circuit,

Icircuit = (average current for RCA) x 200,000

DC-to-DC converter translates VDD to 4.2V battery voltage; assuming 100% conversion efficiency,

IBatt = Icircuit x VDD/4.2

Example: HSPICE simulation of RCA: 100 random vectors VDD = 0.9V, vector period = 2ns, Average current for RCA = 74.32μA, IBatt = 3.18A


Case I: PerformanceCase I: Performance

Battery should be capable of supplying power (current) for required system performance.

Battery should meet the lifetime (time between replacement or recharge) requirement.

Power management to extend the lifetime of selected battery.


System is Performance Bound



Step 1: Determine the lower bound on the operating voltage based on required performance.

Step 2: Determine minimum battery size for efficiency ≥ 85%

Step 3: Increase battery size over the minimum size to meet lifetime requirement.

Step 4: Determine a lower performance mode with maximum lifetime for a given battery.

Four Step DesignFour Step Design


Step 1: Find Operating VoltageStep 1: Find Operating Voltage

Consider a performance requirement of 200MHz clock, critical path delay ≤ 5ns.

Circuit simulation gives,

VDD = 0.6V and IBatt = 477mA.



Circuit Simulation: Determine Operating Voltage and Current for System Performance

200 MHz

477 mA



Step 2: Determine Minimum Battery Size• For required current 477 mA• Battery Efficiency ≥ 85 % Select

400 mAHr Battery


Simulate Selected BatterySimulate Selected Battery

A meaningful measure of the work done by the battery is its lifetime in terms of clock cycles.

For each VDD in the range of valid operation, i.e., VDD = 0.1V to 1.0V, calculate lifetime using circuit delay and battery efficiency obtained from HSPICE simulation.

Minimum energy operation maximizes the lifetime in clock cycles.



Higher Circuit Speed,Lower Battery Efficiency

Higher Battery Lifetime,Lower Circuit Speed

DVFS range

Simulation of 400mAHr BatterySimulation of 400mAHr Battery• Over entire operating voltage range of 0.1 V to 1 V• For both Ideal and Simulated battery

0.098 0.560 3.860 23.00 88.00 199.0 325.0 446.0 557.0 657.0 (MHz)


Step 3: Battery Lifetime RequirementStep 3: Battery Lifetime Requirement

Suppose battery lifetime for the system is to be at least 3 hours.

For smallest battery, size N = 1 (400mAHr)

IBatt = 477mA,

Efficiency ≈ 98%,

Lifetime = 0.98 x 0.4/0.477 = 0.82 hour For 3 hours lifetime, battery size

N = 3/0.82 = 3.65 ≈ 4. We should use a 4 cell (1600mAHr) battery.Copyright Agrawal, 2011Copyright Agrawal, 2011 3131

System needs higher battery lifetime



619 x109 clock cycles,50 minutes

2540x109 clock cycles205 min ( > 3 Hrs)

Meeting Lifetime RequirementMeeting Lifetime Requirement

0.098 0.560 3.860 23.00 88.00 199.0 325.0 446.0 557.0 657.0 (MHz)


Step 4: Minimum Energy OperationStep 4: Minimum Energy Operation


1660x109 clock cycles


0.098 0.560 3.860 23.00 88.00 199.0 325.0 446.0 557.0 657.0 (MHz)


Summarizing Power ManagementSummarizing Power Management

Battery sizeVDD = 0.6V, 200MHz VDD = 0.3V, 3.86MHz

Effici.%

LifetimeEffici.

%

Lifetime

N mAHrx103

secondsX10 9

cycles x103

secondsX10 9 cycles

1 400 98 3 619 100+ 414.5 1660

4 1600 100+ 12.3 2540 100+ 1364 6630


> two-times

1. Battery size should match the current need and satisfythe lifetime requirement of the system:(a) Undersize battery has poor efficiency.(b) Oversize battery is bulky and expensive.

2 Minimum energy mode can significantly increase battery lifetime.



Battery Size or Weight is Constrained

1. Some real life applications call for a fixed size (or weight) of a battery, e.g., bio-implantable devices, hearing aid.

2 Performance requirements are secondary and the primary goal is to maximize the lifetime (or number of cycles before next recharge).

3 Example:A CR2032(CR) Lithium-ion batteryNominal Voltage: 3VCapacity: 225mAHrNominal Current: 0.3 mAMaximum Current: 3 mA




0.098 0.560 3.860 23.00 88.00 199.0 325.0 446.0 557.0 657.0 (MHz)


ReferencesReferences1. M. Pedram and Q. Wu, “Design Considerations for Battery-Powered

Electronics,” Proc. 36th Design Automation Conference, June 1999, pp. 861– 866.

2. L. Benini, G. Castelli, A. Macii, E. Macii, M. Poncino, and R. Scarsi, “A Discrete-Time Battery Model for High-Level Power Estimation,” Proc. Conference on Design, Automation and Test in Europe, Mar. 2000, pp. 35 – 41.

3. M. Chen and G. A. Rincón-Mora, “Accurate Electrical Battery Model Capable of Predicting Runtime and I-V Performance,” IEEE Transactions on Energy Conversion, vol. 21, no. 2, pp. 504 – 511, June 2006.

4. Simulation model: 45nm bulk CMOS, predictive technology model (PTM), http://ptm.asu.edu/

5. Simulator: Synopsys HSPICE, www.synopsys.com/Tools/Verification/AMSVerification/CircuitSimulation/HSPICE/Documents/hspice ds.pdf


6. M. Kulkarni and V. D. Agrawal, “Matching Power Source to Electronic System: A Tutorial on Battery Simulation”, Proc. VLSI Design and Test Symposium, July 2010.

7. M. Kulkarni and V. D. Agrawal, “Energy Source Lifetime Optimization Energy Source Lifetime Optimization for a Digital System through Power Management,” for a Digital System through Power Management,” Proc. Proc. IEEE Proc. Proc. IEEE International Conf. Industrial Technology and 43rd IEEE Southeastern International Conf. Industrial Technology and 43rd IEEE Southeastern Symp. System TheorySymp. System Theory, March 2011., March 2011.

8. M. Kulkarni, S. Sheth and V. D. Agrawal, “Architectural Power Architectural Power Management for High Leakage Technologies,” Management for High Leakage Technologies,” Proc. Proc. IEEE Proc. Proc. IEEE International Conf. Industrial Technology and 43rd IEEE Southeastern International Conf. Industrial Technology and 43rd IEEE Southeastern Symp. System TheorySymp. System Theory, March 2011., March 2011.

9. M. Kulkarni, “Energy Source Lifetime Optimization for a Digital System Energy Source Lifetime Optimization for a Digital System through Power Management,” through Power Management,” Master’s ThesisMaster’s Thesis, ECE Dept., Auburn , ECE Dept., Auburn University, December 2010.University, December 2010.

10.10. K. Sheth, “A Hardware-Software Processor Architecture using Pipeline K. Sheth, “A Hardware-Software Processor Architecture using Pipeline Stalls for Leakage Power Management,” Stalls for Leakage Power Management,” Master’s ThesisMaster’s Thesis, ECE Dept., , ECE Dept., Auburn University, December 2008.Auburn University, December 2008.


References (Cont.)References (Cont.)


Copyright Agrawal, 2011ELEC5270/6270 Spr 15, Lecture 71 ELEC 5270/6270 Spring 2015 Low-Power Design...

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