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Electrification for Aircraft Propulsion: Modeling and Potential Benefits 7 th International Workshop on Aviation and Climate Change University of Toronto Institute for Aerospace Studies May 19 – 21, 2021 Alejandra Uranga Gabilan Assistant Professor University of Southern California ADRL adrl.usc.edu Aerodynamic Design & Research Laboratory

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Page 1: [2ex] Electrification for Aircraft Propulsion: Modeling

Electrification for Aircraft Propulsion:Modeling and Potential Benefits

7th International Workshop on Aviation and Climate ChangeUniversity of Toronto Institute for Aerospace StudiesMay 19 – 21, 2021

Alejandra UrangaGabilan Assistant ProfessorUniversity of Southern California

ADRLadrl.usc.edu

AerodynamicDesign&Research

Laboratory

Page 2: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Acknowledgments

USC PhD studentsSaakar ByahutMichael Kruger

NASA LEARN3 Project 2016-2018NASA/MIT Collaborative Agreement NNX16AK25API: E. Greitzer (MIT)Participating organizations: MIT

USCAurora Flight Sciences (now a Boeing Company)

A. Uranga (USC) 1 / 47

Page 3: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Summary

I Propulsion system electrification may help reduce aviation’s emissions

I Electrification is synergistic with distributed propulsion (DP)and boundary layer ingestion (BLI)

I Improvements in battery technology are crucial to making electrificationviable and beneficial (other electrical component tech already sufficient)

I Each electrified propulsion architecture has its sweet spotI Fully electric aircraft best for short ranges and small payloadsI Turbo-electric seems better suited for high rangesI Hybrid-electric has niche at intermediate ranges

I Electrification can reduce on-board energy requirements

A. Uranga (USC) 2 / 47

Page 4: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Outline

1 Introduction

2 Methodology

3 Cruise-Only Approximation with Low-Fidelity Models

4 Full-Mission Commuter Results

5 Lessons Learned from Modeling Fidelities

6 Open Questions

A. Uranga (USC) 3 / 47

Page 5: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Demand for Air Transportation

I Aviation represents ∼3% of global emissions

I Heavily reliant on fossil fuels

I Air transportation projected to grow 4 – 5% annually for next 20 yearsdoubles every 15 years FAA, Airbus, Boeing

Image source: Airbus Current Market Forecast 2019A. Uranga (USC) 4 / 47

AnnualTraffic(RPK)

Page 6: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Controlling Emissions from Aviation Requires Radical Changes

2010 ICAO Assembly Commitments

Source: “The Right Flightpath to Reduce Aviation Emissions”, position paper, Air Transportation

Action Group, UNFCCC Climate Talks, Cancun, Mexico, 2010

A. Uranga (USC) 5 / 47

Page 7: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Candidate Technology: Propulsion System Electrification

Aircraft electrification(= use electrical components as major elements in propulsion system )

can help reduce emissions from aviation

I Alleviate dependence on fossil fuels: batteries carry electrical energy

I Electricity production from variety of sources (some low-emissions)

I Leverage high efficiency levels of electrical components

I Can facilitate use of beneficial technologies:distributed propulsion (DP) and boundary layer ingestion (BLI)

A. Uranga (USC) 6 / 47

Page 8: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Electrification Benefit: Higher Conversion Efficiency

Image source: Hepperle 2012

A. Uranga (USC) 7 / 47

Page 9: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Electrification Benefit: Distributed Propulsion (DP)

DP provides potential weight reduction or larger fan area

(cube-squared scaling: mprop ∼ m3/2prop)

Singlepropulsor Distributed Propulsion:

Same fan area, half the weight

Distributed Propulsion:Same weight, 1.6× more fan area

Assumption: Electrification facilitates DP

Kruger et al., AIAA 2018-4227, AIAA Aviation Forum 2018

A. Uranga (USC) 8 / 47

Page 10: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Electrification Benefit: Boundary Layer Ingestion (BLI)

BLI reduces wasted kinetic energy in combined wake+jet

⇒ Lower power requirement for a given forward force

wake, or “draft”

WastedKinetic Energy

Zero NetMomentum

combined wake and jet

propulsor jet

+

+

++

+

+

+-

--

Assumption: Electrification facilitates BLI

Uranga et al., AIAA Journal 2017

A. Uranga (USC) 9 / 47

Page 11: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Electrification Challenges

The weight of energy

I Battery specific energy is ∼2 orders of magnitude lower than hydrocarbon fuele fuel ' 12 000 W·h/kg versus e bat ' 175 – 250 W·h/kgtoday

Aircraft re-design needed

I Electrified propulsion not beneficial if just swapped in place of conventional systems

Nascent technologies

I Low TRLs not “aerospace-ready”

I Operational and safety challenges

I Well-to-wake analysis may not yield emissions benefit for electrified aircraft,but trends are promising and electicity generation is becoming greener (oil is not)

A. Uranga (USC) 10 / 47

Page 12: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Terminology

I Conventional: propulsion achieved with hydrocarbon fuel assole energy source and mechanically-driven fans

I Turbo-electric: powered only from gas turbines burning fuelI Fully turbo-electric: all fans electrically driven

I Partial turbo-electric: fans both electrically- and mechanically-driven

I Hybrid-electric: propulsion energy comes from both fuel viagas turbines and a battery

I All-electric: all propulsion energy provided by a battery

Electrified ≡ using electrical components as major elements in propulsion system(electric motors, maybe batteries, . . . )

A. Uranga (USC) 11 / 47

Page 13: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Performance Metric: On-Board Energy Usage

On-board energy required to bring passengers from point A to point B

Mission energy: Productivity-Specific Energy Consumption

PSEC =[total on-board energy]

[payload mass]× [range]=

Etot

mPL× R

[ kJ/kg·km ]

where on-board energy Etot = mfuel e fuel︸ ︷︷ ︸fuel energy

+ mbat BSE︸ ︷︷ ︸battery energy

Considerations related to production of electrical energy to charge batteries on theground and corresponding chain for kerosene fuel delivery are outside the scope

A. Uranga (USC) 12 / 47

Page 14: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Outline

1 Introduction

2 MethodologyUnified Propulsion System ModelLUCAS FrameworkTechnology ScenariosModeling of Electrical Components

3 Cruise-Only Approximation with Low-Fidelity Models

4 Full-Mission Commuter Results

5 Lessons Learned from Modeling Fidelities

6 Open Questions

A. Uranga (USC) 13 / 47

Page 15: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Electrified Propulsion System Architectures

Many flavors...

Image source: NAE report 2016

A. Uranga (USC) 14 / 47

Page 16: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Unified Propulsion System Model

Mechanically-PoweredPropulsors

Gas Turbines

×NfanE

×NfanM×Nturb

bat

Electrically-Powered Propulsors

turb fanM

PKM

PKE

Mechanical Source

Pturb

Pbat

Electrical SourceBattery System

fS ≡Pbat

Pbat + Pturb

fL ≡PKE

PKE+ PKM

Source(Consumed Power)

Load(UsefulPower)Mechanical Load

Electrical Load

gen/

conv

mot

Pinv Pmot PfanEmotinv

fanE

PfanM

Pgen

Pconv

Link

Plink

A. Uranga (USC) 15 / 47

Page 17: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Unified Propulsion System Model: Electrification Metrics

Level of electrification defined based on propulsion-system power splits

At the source: Power supplied by gas turbine(s) (mechanical source)and/or battery (electrical source)

Source electrification factor fS ≡Pbat

Pbat + Pturb

At the load: Flow power delivered viamechanically-driven propulsorsand/or electrically-driven props.

Load electrification factor fL ≡PKE

PKE+ PKM

fS

fL

Parallel hybrid

Series hybrid

1

1

00

P link=0

Conventional

Fullyturbo-electric

Par

tialt

urbo

-ele

ctric

All-

elec

tric

A. Uranga (USC) 16 / 47

Page 18: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Outline

1 Introduction

2 MethodologyUnified Propulsion System ModelLUCAS FrameworkTechnology ScenariosModeling of Electrical Components

3 Cruise-Only Approximation with Low-Fidelity Models

4 Full-Mission Commuter Results

5 Lessons Learned from Modeling Fidelities

6 Open Questions

A. Uranga (USC) 17 / 47

Page 19: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Methodology: LUCAS Framework

LUCAS : Library for Unified Conceptual Aircraft Synthesis

I General framework for analysis and design of conventional and novel aircraft

I Power-balance approach for aero-propulsive performance estimation

I Unified propulsion system model

I Models for wide variety of aircraft configurations,propulsion system architecturestechnologies (DP, BLI)

I Relies on SUAVE (mission analysis, aerodynamics, weights)and pyOptSparse for optimization

SUAVE references: Lukaczyk et al. AIAA 2015-3087, 2015; Botero et al. AIAA 2016-1275, 2016

A. Uranga (USC) 18 / 47

Page 20: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Outline

1 Introduction

2 MethodologyUnified Propulsion System ModelLUCAS FrameworkTechnology ScenariosModeling of Electrical Components

3 Cruise-Only Approximation with Low-Fidelity Models

4 Full-Mission Commuter Results

5 Lessons Learned from Modeling Fidelities

6 Open Questions

A. Uranga (USC) 19 / 47

Page 21: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Battery Specific Energy

Theoretical

BSEth

Cell-level

BSEcell = ηcellBSEth

Pack-levelBSEpack = ηpackBSEcell

= ηcellηpackBSEthηcell

∼ 30%

ηpack

60−80%electrochemical reactants electrodes, electrolyte,separator, collectors,cell structure

cells, wiring, casing,thermal management

Theoretical and cell-level BSE

[mature] [mature] [mature] [Boeing 787 APU] [Airbus E-Fan] [Tesla Model S]

I Cell-level BSE is too often quotedin literature and sales pitches

I Specific energy at pack level isthe relevant parameter foraircraft-level performance

BSEpack ≈ 0.2BSEth

A. Uranga (USC) 20 / 47

Page 22: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Electric Component Technology Trends

Batteries

2010 2015 2020 2025 2030 2035 2040

EIS Year

0

200

400

600

800

1000

1200

1400

1600

1800

2000

2200

BS

E

(W-h

r/kg

)

Data From LiteratureBoeing SUGAR VoltTesla Motors, Rate 5%/ yearTesla Motors, Rate 8%/ yearFriedrich 2015, Rate 5.5%/ year

40% of theoretical for Li-air

40% of theoretical for Li-ion

Lab demonstrated for Li-air

A. Uranga (USC) 21 / 47

Motors

10 100 1000 100000

5

10

15

20

25

Continuous Power (kW)

Spec

ific

Pow

er (k

W/k

g)

Current Aircraft

Automobiles

COTS Motors

Aircraft Studies

In development (NASA Funded)

NAE Report

Cryogenic

Basis for Technology Scenarios

In Development *

Converters

0

5

10

15

20

25

30

100 1000 10000

Spec

ific

Pow

er (k

W/k

g)Continuous Power (kW)

Automobiles

Aircraft Studies

In development (NASA funded)

NAE Report

Cryogenic

Basis for Technology Scenarios

In Development *

Page 23: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Technology Scenarios

Current Conser-vative2035

Interme-diate2035

Optimistic2035

Battery specific energy (pack) [W·h/kg] 175 250* 575 900**

Battery specific power [kW/kg] 0.52 0.745 1.7 2.7

Electrical machines s.p. [kW/kg] 2 9 12 16

Power electronics s.p. [kW/kg] 2.3 9 14 19

Thermal management syst. s.p. [kW/kg] 13.2 13.2 13.2 13.2

Electrical component efficiencies [-] 0.95 0.98 0.99 0.99

s.p. = specific power* Current Li-ion chemistries** Novel Li-ion (Li-S or Li-air) chemistries

A. Uranga (USC) 22 / 47

Page 24: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Outline

1 Introduction

2 MethodologyUnified Propulsion System ModelLUCAS FrameworkTechnology ScenariosModeling of Electrical Components

3 Cruise-Only Approximation with Low-Fidelity Models

4 Full-Mission Commuter Results

5 Lessons Learned from Modeling Fidelities

6 Open Questions

A. Uranga (USC) 23 / 47

Page 25: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Electric Propulsion System Components

Battery Converter𝜂𝜂conv

Motor𝜂𝜂mot

Fan

Specific Energy,Specific Power

Specific Power

Component Low Fidelity Higher Fidelity

Battery Energy, power, mass Capacity, discharge behavior

⇒ specific energy/power (current, voltage, power)

Motor Power, mass, efficiency Angular speed, voltage, current,

⇒ specific power physical dimensions, magnetic properties

Power Distribution Lumped Safe operating voltages

Converter Power, mass, efficiency Switching topologies, resistances,

⇒ specific power voltage, current

Wiring Lumped Length, cross-sectional area

voltage, current, efficiency

Thermal management Energy flow rate, mass Temperature, heat exchanger

system (TMS) ⇒ specific power (density, thermal properties)

Component masses calculated based on specific energy/powerA. Uranga (USC) 24 / 47

Page 26: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Battery ModelCapture non-linear battery discharge dynamics under variable power loads

A. Uranga (USC) 25 / 47

I Constant current model:

V = V0 − KQ − RI − GIQ

I Calculate V0, K , R, G from curves

I But flight segments discharge at (piecewise)constant power ⇒ constant-power model (P = IV )

V = V0 − KQ − RP/V − GQP/V

V = Vn − K (Q − Qn)

K =K + GP/Vn

1− RP/V 2n − GPQn/V 2

n

Vn =1

2

[(V0 − KQn) +

√(V0 − KQn)2 − 4(RP + GPQn)

]I Energy (dE = V dQ): area under the V vs. Q line

I Use initial & final points: (Qi ,Vi ) & (Qf ,Vf )

∆E =

[Vn − K

(Qi + Qf

2− Qn

)](Qf − Qi )

NASA X-57 Maxwell Cell Discharge Profile

V0: Open source (no load) voltageK : Defines primary dependency of

voltage and capacity dischargedR: Internal resistanceG : Change in slope of discharge curve

due to currentV : Voltage under loadI : CurrentQ: Discharge capacity

Page 27: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Motor Model: Switched-Reluctance MotorModel changes in efficiency at different power levels in various flight segments

RSY1

2RSP1

RRY1 RRY1

2RRP1

2RG1

F

φa

2φa

φa

2+

−FP2

FP1

RSY1

I Represent magnetic flux φ paths as a network of reluctances R and magnetomotive forces FI Use total flux to calculate motor inductance L (⇒ average torque Tavg )I Output power: Pout,mot = Tavg ωmot

I Copper losses due to resistance of the stator winding wire: PCu = I 2 Rcoil

I Core losses due to hysteresis, eddy-current, excess losses

Pcore =∑

Pk mk =∑(

Phys,k + Peddy,k + Pexs,k

)ρkVk

I Motor input power: Pmot,in = Pmot,out + PCu + Pcore

I Motor efficiency: ηmot = Pmot,out/Pmot,in

A. Uranga (USC) 26 / 47

Page 28: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Converter ModelModel changes in efficiency at different power levels in various flight segments(Can be replaced with low-fidelity model with minimal loss in accuracy)

+

Vconv,in Rload

+

Vconv,out+

RLL

C

Diode

Switch +

+

RL

+ −

+

kdRon k′dRD

k′dVD

k′dVconv,out

k′dI

Switch Diode

Vconv,in Vconv,out

Rload

+ −

VL IC

I Use equivalent circuit model to find relationship between input and output voltage (⇒ power)

Vconv,out =1

k ′d

(Vconv,in − k ′

dVD

) [ k ′2d Rload

k ′2d Rload + RL + kdRon + k ′

dRD

]

I Duty cycle: k ′d = 1− kd

I Input and output power: Pconv,in = Vconv,in I , Pconv,out = Vconv,out k ′d I

I Efficiency ηconv =Pconv,out

Pconv,in

A. Uranga (USC) 27 / 47

Page 29: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Power Distribution and Paschen’s Law

Set a safe operating voltage based on physical limits

I Breakdown voltage: voltage required to create dischargeor electric arc between electrodes

Vbd =B pd

ln

[A pd

ln(

1+ 1γ

)]

I Absolute worst case for air:Vbd = 327 V at pd = 0.760 Pa.m

I Current aircraft voltages fall below this

I For insulated conductors

I Fraction of voltage across air gap: fV =d

d + tiεr

I Safe operating voltage: SOV =Vbd

fVI SOV can be much higher than breakdown voltages both

at ground-level and at cruise

10 -1 10 0 10 1 10 2 10 3

p.d [Pa.m]

10 2

10 3

10 4

10 5

10 6

Bre

akdo

wn

Vol

tage

, Vbd

[V]

Vbd: Breakdown voltagep: Ambient pressured : Separation between electrodesA, B, γ: Constants specific to airti : Insulation thicknessεr : Dielectric constant of insulation

A. Uranga (USC) 28 / 47

Page 30: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Cables and WiringDetermine if wiring mass is important in propulsion system modeling⇒ Wiring mass not significant with distributed propulsion

I Wires supply power to the motors: Pmot,in = I V = I · SOV

I Select diameters from American Wire Gauge (AWG) based on currentneeded

I Cable resistance: Rcable =Lcable

σ Acond

I Cable length calculated from aircraft geometry

I Power dissipated in the cable: Pcable = I 2Rcable

I Wiring mass: mass of conductors + insulation

mwiring = 1.2( π

4ρcond D

2cond

Lcable +π

4ρins

[(2 ti + Dcond )2 − D2

cond

]Lcable

)I Factor of 1.2 for mass of fixing components (clamps, mounts, ...)

A. Uranga (USC) 29 / 47

yclear,fuse

yclear,prop

Dprop

Wiring

Propulsor

Wing

hfuse

wfuse

Fuselage

Battery

I : CurrentSOV: Safe operating

voltageLcable: Cable lengthDcond: Conductor diameterρ: Densityσ: Conductivityti : Insulation thickness

Page 31: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Thermal Management System (TMS)Size heat exchanger to reject wasted heat from electrical components

I Energy wasted from electrical components:Qcomp = (1− ηcomp)Pcomp,in

I Total heat to be rejected: Q =∑

i Qcomp,i

I TMS: heat exchanger with hot side and cold side

I Modeled with number of thermal units (NTU) approach

η: Efficiency

Pcomp,in: Input powerto component

Hot side Cold side

Wall

Waste heat from components

Coolant to components

Electricalcomponents

Cold air

Hot air

Rh RcRw

Th,in

Tc,in

Tc,out

Th,out

Cross section for double pipe heat exchanger

di Dido

A. Uranga (USC) 30 / 47

Page 32: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Outline

1 Introduction

2 MethodologyUnified Propulsion System ModelLUCAS FrameworkTechnology ScenariosModeling of Electrical Components

3 Cruise-Only Approximation with Low-Fidelity Models

4 Full-Mission Commuter Results

5 Lessons Learned from Modeling Fidelities

6 Open Questions

A. Uranga (USC) 31 / 47

Page 33: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Low-Fidelity Framework Overview

I Generalized range equation for cruise-only mission

I Energy- and power-to-mass scalings for propulsion system components

I Structural sizing based on correlations

PropulsionSystem

Aero-PropulsivePerformance

Aero-StructuralSizing

MissionIntegration

Geometric Programmingusing GPKit

GPKit: Burnell, Damen, and Hoburg, “GPkit: A Human-Centered Approach to Convex Optimization in

Engineering Design”, 2020 CHI Conference on Human Factors in Computing Systems

A. Uranga (USC) 32 / 47

Page 34: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Mission Determines Optimal ArchitectureOptimistic 2035 Tech

(900 W·h/kg BSE)I All-electric best for very short ranges

(∼ 200 nmi)

I Turbo-electric seems best for long ranges(>400 nmi)... but higher-fidelity results may showotherwise

I Hybrid-electric may have a niche atintermediate ranges, e.g. to extend rangeof otherwise all-electric option

I All-electric for thin-haul missions isunfeasible with current and conservative2035 tech

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Page 35: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Range Limitations of All-Electric Architectures

All-electric optimistic 2035 Tech

I Large sensitivity to range

I All-electric could give largebenefits at low ranges,but advantage quickly drops withrange due to battery mass growth

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Page 36: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Electrification Benefits: Technology Effects

All-electric 100 nmi mission

0 250 500 750 1000 1250 1500 1750 2000Battery Specific Energy, BSE [W h/kg]

0

1

2

3

4

5

6

7

8

PSEC

[kJ/k

gkm

]

Opt

imis

tic 2

035

Cur

rent

Tec

h

Con

serv

ativ

e 20

35

Conventional, 2 fans, no BLI

All-electric, 2 fans, no BLI

All-electric, 100 fans,50% BLI

Intermediate

203

5

0 5 10 15 20 25Component Specific Powers [kW/kg]

0

1

2

3

4

5

6

7

8

PSEC

[kJ/k

gkm

]

Cur

rent

Tec

h

Opt

imis

tic 2

035

Con

serv

ativ

e 20

35

All-electric, 2 fans, no BLI

All-electric, 100 fans, 50% BLI

Conventional, 2 fans, no BLI

Intermediate

203

5

I BSE improvements crucial to makingall-electric feasible

I Diminishing returns past 900 W·h/kg BSE

I Component powers less limiting than BSEwith diminishing returns past 5 kW/kg

I DP beneficial, but diminishing returns past∼ 6 – 8 propulsors

I DP and BLI facilitate electrification:larger missions become feasible

A. Uranga (USC) 35 / 47

Page 37: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Outline

1 Introduction

2 MethodologyUnified Propulsion System ModelLUCAS FrameworkTechnology ScenariosModeling of Electrical Components

3 Cruise-Only Approximation with Low-Fidelity Models

4 Full-Mission Commuter Results

5 Lessons Learned from Modeling Fidelities

6 Open Questions

A. Uranga (USC) 36 / 47

Page 38: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Commuter Aircraft Mission: 19 Pax, 250nmi range

Baseline for comparisons: advanced* technology version of DHC-6 Twin Otter

* (-15% empty mass; -20% in engine SFC and power-to-mass ratio)

Number of passengers Npax 19

Payload mpay 1 842 kg (3 979 lb)

Mission range R 250 nmi (463 km)

Cruise speed Vcruise 94 m/s

Takeoff mass minit 5 670 kg

Cruise altitude hcruise 10 000 ft (3 050 m) Image ©Viking Air

A. Uranga (USC) 37 / 47

Page 39: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Electrification Design Space - Optimistic Tech Assumptions

I Energy requirement drops quickly as source electrification (fS) increases

(more energy in battery vs fuel)

I Parallel hybrids slightly more efficient than series hybrids

I Aircraft weight grows rapidly as electrification increases

A. Uranga (USC) 38 / 47

Page 40: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Hybrid-Electric: 500 nmi Extended Range Mission

Mission-fixed hybrid: Constant electrification throughout mission.

Mission-varying hybrid: Different electrification levels for different missionsegments.

Configuration Tech Climb fS

Cruise fS

∆MTO

∆PSEC

Fixed hybrid Interm. 0.55 0.55 +59% -27%Opt. 0.9 0.9 +52% -63%

Varying hybrid Opt. 1 0 +15% -3.7%

I Potential energy benefits even at intermediate technology

I Fixed hybrid leads to largest energy benefits, but with large weight gains

I Varying hybrids mitigate weight gains at the expense of energy benefits

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Page 41: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Conclusions of Full Mission Commuter Study

All-electrics are fundamentally range limited and best suited for very short missionswhile hybrids can be more versatile

If battery specific energy improves to intermediate tech levels (BSE∼600 W·h/kg)

I All-electric architectures could lead to large energy reductionsfor very short range missions (100 nmi) but with big aircraft weight gains

I Hybrid-electric architecturesI Give large energy reductions with high electrification levelsI Can significantly increasing feasible mission range compared to all-electricsI Keep aircraft weight gains relatively low

Electrification benefits are primarily due to high efficiency of electrical components⇒ higher electrification is more beneficial at the expense of weight gains

A. Uranga (USC) 40 / 47

Page 42: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Outline

1 Introduction

2 MethodologyUnified Propulsion System ModelLUCAS FrameworkTechnology ScenariosModeling of Electrical Components

3 Cruise-Only Approximation with Low-Fidelity Models

4 Full-Mission Commuter Results

5 Lessons Learned from Modeling Fidelities

6 Open Questions

A. Uranga (USC) 41 / 47

Page 43: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Fidelity Levels

I Level 1: Range equationI One-liner, hand calculationsI Order of magnitude checks with minimal info

I Level 2: Cruise-only with low-fidelity models (specific powers and efficiencies)I Need to determine appropriate ‘full-mission average’ values a prioriI Missing sizing effects (since components not always sized for cruise)

I Level 3: All mission segments with low-fidelity modelsI Realistic sizing and constraintsI No need to define ‘mission average’ valuesI Relies on a priori values for component characteristics

I Level 4: All mission segments and detailed component modelsI No need to guess component characteristicsI Reduces uncertainty in final answersI Helps ensure resulting aircraft are realistic

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Page 44: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Modeling Lessons

Higher-fidelity mission analysis (Level 3) is neededfor proper sizing (i.e. components meet the full mission requirements)... otherwise propulsion system size may be underestimated

... snow-balls into significantly undersized airplane... and conclusions on feasibility and benefits may be way off

Higher-fidelity component models teach us that

I Battery dominates propulsion system mass for all electrics (∼ 60%)

I Higher safe operating voltages may be possible than currently certified

I Non-battery component efficiencies matter mostly as they affect battery mass

A. Uranga (USC) 43 / 47

Page 45: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Outline

1 Introduction

2 MethodologyUnified Propulsion System ModelLUCAS FrameworkTechnology ScenariosModeling of Electrical Components

3 Cruise-Only Approximation with Low-Fidelity Models

4 Full-Mission Commuter Results

5 Lessons Learned from Modeling Fidelities

6 Open Questions

A. Uranga (USC) 44 / 47

Page 46: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Open Questions

Aircraft electrification can definitely reduce on-board energy requirementsbut whether it is environmentally beneficial or not ultimately depends on

I Electricity production and distribution: strongly dependent on how/wheree.g. electric flight from Seattle to Indianapolis may be green,

but return flight might pollute more than on conventional aircraft

I Environmental impact of battery and other electronics production, disposal

I Battery life-cycle considerations e.g. replace every 100 versus 1000 flights

I ... etc ...

Analysis of broader life-cycle emissions impact is crucialand ultimately needs to be entered into the design equation

(well-to-wake emissions modeling in progress)

A. Uranga (USC) 45 / 47

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A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

References

Downloads available from the ADRL’s site at https://adrl.usc.edu/publications/

M. Kruger, S. Byahut, A. Uranga, J. Gonzalez, D.K. Hall, and A. Dowdle, “Electrified AircraftTrade-Space Exploration”, AIAA 2018-4227, 2018 AIAA Aviation, Atlanta, GA, June 25–29.2018. doi: 10.2514/6.2018-4227 [low-fideity trade-space exploration]

S. Byahut and A. Uranga “Propulsion Powertrain Component Modeling for an All-ElectricAircraft Mission”, AIAA 2020-0015, AIAA SciTech, Orlando, FL, Jan. 6–10. 2020doi: 10.2514/6.2020-0015 [component modeling part 1]

M. Kruger and A. Uranga “The Feasibility of Electric Propulsion for Commuter Aircraft”, AIAA2020-1499, AIAA Scitech, Orlando, FL, Jan. 6–10. 2020 doi: 10.2514/6.2020-1499

[commuter study]

S. Byahut and A. Uranga “Power Distribution and Thermal Management Modeling for ElectrifiedAircraft”, AIAA 2020-3578, AIAA/IEEE Electric Aircraft Technologies Symposium (EATS),Virtual Event, Aug. 26–28. 2020. doi: 10.2514/6.2020-3578 [component modeling part 2]

A. Uranga (USC) 46 / 47

Page 48: [2ex] Electrification for Aircraft Propulsion: Modeling

A. Uranga

Introduction

Methodology

Unified PropulsionSystem Model

LUCAS Framework

Technology

Component Modeling

Cruise-OnlyApproximation

Full-MissionCommuter

ModelingLessons

Open Questions

Contact

Alejandra Uranga, Ph.D.

Gabilan Assistant ProfessorAerospace & Mechanical Engineering Dept.University of Southern California

Email: [email protected]: (213) 821 - 0846Web: uranga.usc.edu

Lab site: adrl.usc.edu

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