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High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed...

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High Temperature Energy Storage in a Rock Bed Kurt Engelbrecht, Stefano Soprani, Loui Algren, Kenni Dinesen, Thomas Ulrich, Ole Alm, Eva Sass Lauritsen, Fabrizio Marongiu, Allan Schrøder Pedersen
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Page 1: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

High Temperature Energy Storage in a Rock Bed

Kurt Engelbrecht, Stefano Soprani, Loui Algren, KenniDinesen, Thomas Ulrich, Ole Alm, Eva Sass Lauritsen, Fabrizio Marongiu, Allan Schrøder Pedersen

Page 2: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Project Description (HT TES project)

2

Source: SEAS-NVE

• Heat is stored at high temperature (600 ⁰C).

• The heat is used to produce high pressure steam to expand in a turbine.

• Funded by EUDP

Page 3: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Project Challenges and Research Areas

3

• Choose suitable rock material

• Design of the rock bed

• System testing

• Model rock bed operation, both thermal and economic aspects

Page 4: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Brief summary of thermal rock storage

4

• Low cost electricity is stored as heat in a rock bed then used to produce

electricity or district heating when prices are high

• Due to the reduced efficiency associated with thermal conversion to electricity,

the technology relies on relatively high electricity price fluctations

• The main advantages are low cost and easy scalability

• Storage period is a few days up to several weeks, depending on the insulation

and thermal losses

Page 5: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Rocks…the very basics

‘Monomineralic’ rocks

(>90% one mineral)

‘Polymineralic’ rocks:

(several minerals)

Quartzite (Hardeberga, Sweden)

Magnadense (Kiruna, Sweden)

Dunite (Norway)

Ansite (Norway)

Granite (Bornholm)

Norite/Gabbro (Telnes, Norway)

Diabas (Finland, Sweden)

Basalt (Germany/Austria)

Hyperite (Norway)

Rock texture

Mineral 1

Mineral 2Mineral 3

Page 6: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Dunite

before after

After heating 1000um

olivine

Mic

ro

sco

pic

textu

re

1000um

Before heating

olivine

Page 7: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Rock selection for first experiments

7

• We chose Swedish diabase as the first rock material

• Cheap and available day-to-day in Denmark

• Available in different sizes

• Able to withstand cycling to 600 C

• First rocks tested were sieved between 20 mm and 40 mm

• We are looking at different rock types and sizes for future experiments

Page 8: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Experimental setup “shoebox”

8

Heater

FanThermalinsulation

Hot end

Cold end

Containmentgrids

20 October, 2017

20 October, 2017

Page 9: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Experimental setup “shoebox”

9 20 October, 2017

20 October, 2017

Page 10: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Experimental setup “shoebox”

10

Fan

Hot-end

16 x temperature sensors

To the chimney(outside)

Heater (behindthe ”shoebox”)

Cold end

Size = 1.5 m3 of rocks ~ 450 kWhth ΔT=600C Max. charging rate = 25 kW

20 October, 2017

20 October, 2017

Page 11: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Experimental result - charging

11

Heater power 25 kW

Page 12: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Experimental result - discharging

12

Page 13: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Experiment status

13

• Initial testing indicated that heat losses were a problem and more insulation

has been added.

• Our first heater is broken and we are waiting on its replacement

• Next step is to fully test the 20-40 mm Swedish diabase

• Future tests will investigate the effects of varying the rock size

Page 14: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Modelling efforts in the project

14

• Inside the project we have both economic models of the Danish electricity

market and the cost of the thermal storage and a numerical model of thermal

interactions in the rock bed.

• A goal of the project is to couple the two models to give accurate performance

predictions and a prediction for how a company might invest is such a storage

based on realistic market conditions

Page 15: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark 1515

EL-1

High

temp.

air

El

DK1

HT-TES

Charger

(heater+fan)

HRSG

Steam

Turbine

Steam

04-12-2017

Economic model: electricity storage

• Model considers both a scenario

with a higher mix of renewables

for 2035 and actual market

prices for Denmark in 2015.

• Prices of all necessary

components are inputs to the

model

• Main output is how large an

investment in the system is

optimal

Page 16: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Case 1: electricity storage2035 prices

04-12-2017HT-TES WP4 modeling16

Unit CAPEX[DKK/MW]

OPEX[DKK/MW/y]

YearlyinvestmentCost[MDKK]

Investedcapacity

Charger 625,000 6250 2.9 MDKK 55.6 MW_el

Discharger

4,580,000 180,000 2.8 MDKK 5.5 MW_el /12 MW_th

Storage 2,620 0 0.2 MDKK 1000 MWh_th

Revenue 7.76 MDKK

Page 17: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark 04-12-2017HT-TES WP4 modeling17

Unit CAPEX[DKK/MW]

OPEX[DKK/MW/y]

YearlyinvestmentCost[MDKK]

Investedcapacity

Charger 625,000 6250 0.34 MDKK 6.5 MW_el

Discharger

5.5 MW_el /12 MW_th

Storage 2,620 0 0.10 MDKK 540 MWh_th

Revenue

0.75 MDKK

Case 2: electricity storageDK1 2015 prices

Page 18: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Governing Equations of a 1D Numerical Rock

Bed Model

2

2

f f f f

f f f s c f r f f f c f

h

rdisp c

NuRe,PrkTmtcT T aAT T cTA T

x d t

enthalpy flow capacity ofheat transfer to

entrained fluidregenerator material

Tk A

x

axialdispersion

f

mtp

x

viscous

dissipation

2

21 1

f f f f r rscf r c o effc rc

h

NuRe,PrkT MT uaATTA HkA A

d t x t

axialmagnetic work energy storedheat transfer from fluidconduction

in matrix

Fluid:

Regenerator:

x

,oH x t

Tf (x,t)

Tr (x,t)

m t

Page 19: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Coupling economic model to 1D model

19

• Bed size

• Charge and dischargecharacteristics

• Heater power

1D model inputs

• Rock type

• Bed geometry

• Air flow rate etc

Run 1D model over an entire

year

Page 20: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Some model constraints

20

• Minimum temperature for steam productin is 530 C

• Charge inlet temperature is 600 C

• Maximum outlet temperature is 300 C

• We use the return temperature from the heat recovery steam generator as the

inlet discharge temperature (100 C)

• Initial rock bed temperature is 20 C

Page 21: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Full year rock bed operation for 2035

21

• Economic model calls for a bed that is approximately 3,400 m3 in volume.

First we model a 15 x 15 x 15 m3 rock bed

Page 22: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Full year rock bed operation for 2035

22

• “Skinny” bed 10 x 10 x 33.75 m

Page 23: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Predicted power supplied to power cycle

23

Page 24: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Preliminary model conclusions

24

• Sometimes the temperature in the bed is too low to produce steam, although the economic model expects a power production

– May need a minimum charge energy constraint in the economic model

• System optimization based on rock bed dimensions and rock size is necessary

• We have demonstrated modelling a full year of operation using a detailed 1D numerical model of the rock bed

– System optimization of such a rock storage will be performed in the near future

• Pressure drop can become a major issue for long beds or small rock sizes

• Reducing rock size from 20 mm to 16 mm gives approximately 2% more power production over the full year

• Reducing the length of the bed to 8.4 m while increasing cross sectional area gives a reduction in power production of 5.5% over the full year

Page 25: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark

Conclusions

25

• At DTU we have a functional 1.5 m3 rock bed storage that can operate at temperatures up to 600 C

– Capable of quickly testing different rock types and sizes and system configurations

• Economic modelling shows that for 2015 prices, the system needs to use an existing steam turbine to be economical

– Using a 2035 scenario with higher renewable mix it can make sense to invest in a new turbine dedicated to a rock storage unit

• We have demonstrated modelling a full year of operation using a detailed 1D numerical model of the rock bed

– System optimization of such a rock storage will be performed in the near future

20 October, 2017

20 October, 2017

Page 26: High Temperature Energy Storage in a Rock Bed · Governing Equations of a 1D Numerical Rock Bed Model 2 2 f f f f f f f s c f r f f f c f h r dispc NuRe,PrkT mtcT T aATT cTA T x d

DTU Energy, Technical University of Denmark26

THANK YOU FOR YOUR ATTENTION

20 October, 2017


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