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Elektromobilitet i elnätsperspektiv Christofer Sundström Fordonssystem Insutitionen för systemteknik Linköpings universitet

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Page 1: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Elektromobilitet i elnätsperspektiv

Christofer Sundström

Fordonssystem

Insutitionen för systemteknik

Linköpings universitet

Page 2: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Fordonssystem LiU2

• 25 medarbetare• 9 seniora• 1 Postdoc• 13 doktorander• 1 forskningsingenjör

• Forskningsområden• Fordonsdynamik och autonomi• Diagnostik och prognostik• Fordonsframdrivning

• Elektromobilitet

• Undervisning• Elkraftsteknik• Elektriska drivsystem• Energitekniska system

Page 3: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

3

OVERALL AIM OF ELECTROMOBILITY R&D

The overall aim of all activities in the

Electromobility area is to increase

the knowledge and contribute to the

conversion from fossil fuels to more

electric kilometers in all type of

transportations!

19 employees with mix of ademic

and industrial experience. 11 Ph.D.

Page 4: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Tillförd energi - Sverige4

Page 5: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Transportsektorn5

Page 6: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Val av fordon6

• Elektrifierade fordon fördelaktiga främst istäder• Bromsåtervinning• Låg energiförbrukning• Inga lokala utsläpp• HEV, PHEV, BEV

• Förnybara bränslen bra alternativ vid långatransporter.• Etanol• HVO• Biogas• Vätgas

Page 7: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Fjärrtransporter - elektrifierade7

• 40 tons lastbil förbrukar ca 1.5 kWh/km för framdrivningen. • Antag verkningsgrad 100% på elektrifierad drivlina.• Batteriets energidensitet ca 0.2kWh/kg.• För att kunna köra 700km på en laddning behövs 700*1.5/0.2=5250kg

batterier.• Lastvikt på ca 25 ton. Batterier tar upp 1/5 av lastkapaciteten.• Laddning av batteriet kräver 1.2MW (1 timme).

Page 8: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

1. Elvägar2. Smarta hemmet

- Elbil- Uppvärmning- Varmvatten- Batterilager- Mikroproduktion

3. Fortsatt arbete

Page 9: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Research Institutes of Sweden

RISE Viktoria

ELECTRIC ROAD SYSTEM

Page 10: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

10

http://www.regiongavleborg.se/regional-utveckling/samhallsplanering-och-

infrastruktur/elvag/the-electric-highway-in-english/about-the-project/

Elväg i Sandviken (Gävle)

Page 11: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Konduktiv pantograf

Konduktiv underifrån

Trådlös (induktion)

Elväg - lika kraftöverföringstekniker

Page 12: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

0

5

10

15

20

25

30

35

40

45

50

2010-2013 2016 2017 2018 2019

South Korea Sweden USA Germany

12

ERS on public roads

Schleswig-

Holstein

Hessen

Baden-

Württemberg

Accum

ula

ted

num

ber

of

kilo

mete

rs

Page 13: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Research Institutes of Sweden

Håkan Sundelin

Christofer Sundström

RISE Viktoria

ANALYSIS OF ELECTRIC ROADSLONGITUDINAL TRUCK MODEL

Page 14: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Background

▪ Investment cost of ERS high -> Decision makers require independent comparison between technologies.

Aim

▪Develop a simulation platform for ERS with main emphasis on energyconsumption.

▪ Investigate quality and impact on simulation results of different data sources.▪ Vehicle reference speed▪ Topology▪ Traffic flow

▪Deliver information where to build ERS

14

Page 15: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

15

Simulation of electrified propulsion using ERS

Energy consumption

Fuel consumption

CO2 emissions

Environment

Vehicle

Electric road

Topology

Payload

Energy mix

Speed

Efficiency

Battery size

Installation

EM size

ICE size

Page 16: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Longitudinal Vehicle Model

▪ To evaluate different configurations of ERS a longitudinal vehicle model is developed and implemented in Matlab/Simulink.

▪ Powertrain configured as parallel hybrid extended with ERS possibility.

▪ Low complexity dynamic model including driver model.

▪ Physical modelling combined with look-up tables for losses in e.g. ICE and EM.

▪ Fast simulations. E.g., 110 seconds to simulate Gävle-Boliden (94km).

▪ Parameters:

▪ ICE: 270kW

▪ EM: 260kW

▪ Battery: 25kWh

16

Power-

train

Vehicle

driver

Environment

Energy

manag-

ement

Vehicle

Page 17: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

17

Electric road – fuel saving

Example where all road electrified and there is no power limitation in the electric road.

Battery charged at 2C.

Page 18: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

18

Electric road – fuel saving

Example where all road electrified and there is a power limitation in the electric road at 130 kW.

Page 19: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

19

Electric road – fuel saving

Similar fuel savings as continuous ERS.

Drawback: large energy flows in battery.

Page 20: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

20

Electric road – fuel saving

Three cases:

• Electric road not available:

• Fuel: 536 kWh

• Electric: -

• Driving time: 4586 s

• Electric road available 100% distance:

• Fuel: 183 kWh

• Electric: 164 kWh

• Fuel saving: 38 kWh/10km

• Driving time: 4248 s

• Electric road available 4km uphill (fig.)

• Fuel: 465 kWh

• Electric: 37 KWh

• Fuel saving @ electrc road: 175 kWh/10km

• Driving time: 4457 s

Page 21: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

21

Future work in new project?

▪ Extend simulation framework to include possibilities/cost for electrify different segments of the road.

▪ Find optimal solution where to electrify.

▪Make simulation environment public.

Page 22: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Optimering av elbilsladdning och uppvärmning inom hemmet

Page 23: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Syfte23

För ett hushåll med en plug-in hybrid • Utveckla smart styrning för att minimera elkostnaderna.• Kvantifiera sänkning av elkostnaden.• Hur påverkas energiförbrukningen över dygnet?

Page 24: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Effektkurva Sverige24

• Elförbrukningen varierar med tidpunkten över dygnet

• Gapet motsvarar 3kW laddning av ~1.3 miljoner fordon

0 5 10 15 20 258

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12

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20

22

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Mean power per hour in Sweden 2013

time of the day

Mean

po

wer

[GW

]

Jan

Feb

Mar

Apr

May

Jun

Jul

Aug

Sep

Oct

Nov

Dec

Page 25: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Laddningskostnader25

För 2013: Kostnadsbesparing börja ladda elbil 01.00 istället för 18.00 sparar 300:-. Genom att ladda på optimala tidpunkter sparar 418:-.

Det finns inget direkt behov för avancerade optimeringsalgoritmer om endast laddning beaktas.

Page 26: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Metod26

Utveckla en simuleringsmiljö av hushåll inkluderande:

• Hur mycket finns att vinna på smarta hem?

Demand

Electric loads

Electric Vehicle

Controller

Weather forecast Electricity

price

Thermodynamic house model

Heating system

SoC

uu

E E

u

TWater heating

T

Tillgängligt data:

• Hushållsel (28

hushåll)

• Utomhustemperatur

• Solinstrålning

• Elpris

Timbaserad data för 1

år.

Husmodell:• U-värde för väggar, tak,

golv, och fönster -> Effekt in/ut ur husets skal

• Punktkälla i huset för uppvärmning. Jämn temperatur i hela huset.

• Inkludera ventilation• Solinstrålning genom

fönster. • Hushållselen påverkar

inomhustemperaturen.

Page 27: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Reglerstrategier27

Traditionell

• Termostat för

uppvärmning.

• Varmvatten värms

när tanken ej full.

• Elfordon laddas när

sladden stoppas i

väggen.

Globalt optimal

• Har perfekt

kännedom om väder,

SoC, elpris i

framtiden.

Optimering i realtid

• Baserat på

väderprognos, SoC

skattning, och elpris

för de närmsta

timmarna hittas en så

bra lösning som

möjligt.

Page 28: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Globalt optimal laddning & värme28

• Antar perfekt prediktion om: • Utomhustemperatur• Solinstrålning• Hushållselsanvändning• SoC• Elpris

• Villkor:• Inomhustemperaturen ej under en lägsta nivå.• Pmax = 15kW• Bilen fulladdad 07.00

Page 29: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Resultat I29

Page 30: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Resultat II30

Optimal

Traditionell

Page 31: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Optimering i realtid32

• Model Predictive Control (MPC) används.• Optimerar förbrukningen av

• Värme• Varmvatten• Elbilsladdning

• Använder samma datasignaler som i den globala optimeringen, med skillnadatt endast information för en viss tidshorisont används.

• Uppdateringsfrekvens en time.• Beräkningen tar < 1 sekund för att hitta styrstratgier för närmsta timmen.

Page 32: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Heuristisk/MPC/Globalt optimal33

• Kostnad för uppvärmning och varmvatten. Ingen elbiloch ackumulatortank för vatten till uppvärmning.

• Skiljer inte mycket mellan globalt optimal ochrealtidsoptimering.

Page 33: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Olika tankstorlekar och prediktionshorisoner35

Kostnad för uppvärmning, varmvatten, och elbilsladdning.

Page 34: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Maxeffekt vs Energikostnad36

Exempelvis Göteborgs Energi använder kostnadsmodellav typen:

Pris = energipris + fast pris + pris för maxeffekt/månad

Här studeras hur lösningen varierar vid olika vikt mellanenergikostnad och maxeffekt.

Page 35: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Maxeffekt vs Energikostnad37

Page 36: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Maxeffekt vs Energikostnad38

Page 37: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Sammanfattning realtidsoptimering40

• Nära globalt optimala lösningen när ett dygnsprediktionshorisont används. Största vinningen uppnås vid 6-8 timmars horisont.

• Maxeffekten har störst beroende av prediktionshorisont, men litet beroende av tankstorlek.

• Energikostnaden har stort beroende i både tankstolek ochprediktionshorisont.

Page 38: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Batterilager och solceller

Page 39: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Aim

Investigate PV potential, BSS, and smart energy management algorithmcontroling BSS and EV.

44

Page 40: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Aim45

Page 41: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

PV model

• Single diode model.

• Parametrized using data from 14 kW PV installation in Münich(TUM).

• Depends on radiation and temperature.

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IPH ID IP

RP

RS I

VVD

Feb 01 Feb 02 Feb 03 Feb 04 Feb 05 Feb 06 Feb 07

Time 2016

0

5

10

El. o

utp

ut [k

Wh/h

] Comparison of measured and simulated electricity generation

Simulation

Measurement

Aug 01 Aug 02 Aug 03 Aug 04 Aug 05 Aug 06 Aug 07

Time 2016

0

5

10E

l. o

utp

ut [k

Wh

/h]

Simulation

Measurement

Page 42: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Models and available data

• Household applianceconsumption from 28 households. Yearlyconsumption varies from 1.0MWh to 9.9MWh. Onehousehold consuming5.2MWh used in this study.

• Solar radiation

• Outdoor temperature

All data sampled at hourly rate.

47

• Battery storage system:

– Efficiency 95%

– Capacity 5kWh

• Electric vehicle

– Efficiency: 85%

Page 43: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Minimization criteria and constraints

• Objective is to minimize cost. Time discretized in N steps:

• Power balance:

• Limited grid power:

• Limited BSS power and SoC:

• Limted EV power:

• Limited EV SoC:

• EV fully charged when required:

48

Energy buy cost Energy sell cost

Page 44: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Electric vehicle• Nissan Leaf considered

– NEDC energy consumption: 15kWh/100km

– Energy consumption summer: 17-22kWh/100km

– Energy consumption summer: 29-34kWh/100km

• Daily driving distance (total 14300km/year)

– Weekdays: 40km (mean value)

– Weekends: 35km (mean value)

• The time the EV is available for charging varies:

– Weekdays: 5pm – {6-9}am

– Weekends: 3pm – {8-10}am

• Vehicle immediately charged to 50% SoC immediately after pluged in.

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Page 45: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Pricing tariffs• Current scenario: Spot price from 2016

• Future scenario

– Fluctuations in electricity price increased 50%. Same mean value.

– Tax reduction and certificate for selling electricity removed.

• Flat rate

– In Germany flat rate is used. Feed-in tariff lower than total price for consumer.

50

cost buying energy Energy taxsupplier VATgrid

certificatetax reduction Grid compensationcost selling

Page 46: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Electricity tariffs 51

Page 47: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Results

• PV: 44 degreeinclination, southoriented roof. Norrköping.

• Maximum power not affected by PV or PV+EMS. Increasedwhen BSS used.

• When EMS used, peak power at night.

52

Page 48: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Current scenario

• Similar costreduction from PV in all sites except Kiruna.

• Adding EMS decreases cost by ~5% (~500SEK/year).

• Adding BSS slightly less costreduction.

53

Page 49: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Future scenario

• Slightly higher costdue to higherconsumption at winter.

• Lower profit installing PV due to low sell price and lower spot pricesummertime.

• Importance of EMS and BSS significantly higher.

54

Page 50: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Flat rate

• Yearly cost in reference case morethan double.

• EMS saves 300-500SEK/year, butlow relative savings.

• BSS saves ~1500SEK/year. Similar to Futurescenario. BSS makes more sence in Germany.

55

Page 51: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Conclusions battery storage

• PV generates similar in southern parts of Sweden as in southern parts ofGermany (differences over seasons though).

• Benefits of smart energy management system optimizing charging EV given the household appliance consumption, PV generation, and electric price, are largerin Sweden compared to Germany, due to the hourly varying electricity price.

• Benefits due to installation of BSS turns out small. Energy cost can be reduced, but not as much to make the investment profitable.

– In Germany it is closer to make break-even.

• Impact on grid needs to be investigated.

57

Page 52: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Övergripande sammanfattning

• Kostnadsminimering av energikostnaden leder till ökade effekttoppar

– Möjligt possitivt om enstaka hushåll använder strategin.

– Negativt för lokala elnät vid storskalig användning.

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0 5 10 15 20 258

10

12

14

16

18

20

22

24

Mean power per hour in Sweden 2013

time of the day

Mean

po

wer

[GW

]

Jan

Feb

Mar

Apr

May

Jun

Jul

Aug

Sep

Oct

Nov

Dec

Page 53: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Förstudie Prosumentens ekosystem

Page 54: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Syfte: Att förenkla för kunder att äga och använda laddbara fordon

Genomförandet innebär att planera:

• Användarfall och interaktiondesign

• Hur man minskar räckviddsångest

• Detektion och navigering till laddningsplats

• Helautomatisk laddning av bilen

• Laddningsbalans mellan batterier och energikällor

• Uppkoppling mot ”molnet” för koordinering av transaktionsinfo (betalningar & energi)

Home parkingwith charging

Home or Remoteproduction

of el. energy

Home storageof el. energy

Partners Finansiär

Program: FFI/Elektronik, mjukvara och kommunikation

Förstudie80053 - ALPEN - Automatiskt laddbara fordon i prosumentens ekosystem

Page 55: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Framtidsplaner

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63

Power flow

HighLow

Page 58: Elektromobilitet i elnätsperspektiv · Power-train Vehicle driver Environment Energy manag-ement Vehicle. 17 Electric road –fuel saving Example where all road electrified and there

Möjliga lösningar för brett införande av mikroproduktion

För att undvika för stora fluktuationer i spänning hos slutkund:

• Stärka lokala elnätet – mindre spänningsfall

• Installera batterilager/energilager

– Hos slutkund

– I elnätet

• Använda elbilars energilager för att hantera transienter (inkl V2G under kortare perioder)

• Smart styrning av uppvärmning, varmvatten, elbilsladdning av hushållet. Synkroniseras med övriga hushåll i närområdet. Hur stor del av hushållen behöver ha aktiv smart styrning för att säkra elstabiliteten?

– Hur långt kommer man genom att påbörja laddning/urladdning av elbil/användande av värmepump vid olika spänningsnivåer?

64

Ett exjobb påbörjat, samt troligen ytterligare ett.