1 Flow Batteries for the storage of electricity

2 produced in wind turbines

3 Esperanza Menaa, Rubén López-Vizcaínoa, María Millánb, Pablo Cañizaresb, Justo

4 Lobatob, Manuel A. Rodrigo*b.

5 aDepartment of Chemical Engineering, Institute of Chemical & Environmental

6 Technologies, University of Castilla-La Mancha, Campus Universitario s/n, 13071

7 Ciudad Real, Spain

8 bDepartment of Chemical Engineering, Faculty of Chemical Sciences & Technologies,

9 University of Castilla-La Mancha, Campus Universitario s/n, 13071 Ciudad Real, Spain

10

11 *Corresponding Author

12 Prof. Manuel Andrés Rodrigo. Phone +34 902 204 100 Ext 3411; Fax: +34 902 204

13 130; e-mail: [email protected]

14

15 SUMMARY

16 In this work, accelerated degradation charge-discharge tests have been applied to

17 compare the performance of a bench-scale vanadium redox (VRFB), when

18 charged under galvanostatic conditions and under the highly variable conditions of

19 current produced by wind turbines. Wind speed patterns applied for the VRFB charge

20 were obtained during three representative days in winter, in Ciudad Real (Spain). The

21 accumulated and delivered charge capacities and the different efficiencies (coulombic,

22 voltage and energy) were analyzed during three charge and discharge cycles. The

23 conversion of the different vanadium species during the charge-discharge cycles,

24 indicated that the operation mode had a strong influence on the performance of the VRFB

25 and helped to explain the charge profiles obtained. Although, similar efficiencies and

1

1 charge/discharge capacities were found, the VRFB operated in wind-charging mode

2 performs slightly worse than the VFRB operated in galvanostatic mode. Increased

3 crossover of vanadium species in the negative compartment explains the

4 differences found. Nevertheless, it can be concluded that this type of technology seems

5 to be promising for the storage of electricity produced by wind turbines.

6

7 KEY WORDS

8 Redox Flow Battery; Vanadium; Renewable Energy Source; Wind Turbine, Accelerated

9 Degradation

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1 1. INTRODUCTION

2 The use of renewable energy sources has a great number of advantages, among

3 which two should be highlighted: the absence of pollutant emissions and the possibility

4 of using them inexhaustibly. However, there are some disadvantages related to these

5 green energies, above all, to the use of the wind as energy resource. These are its

6 instability, unpredictability and fluctuations, due to changes in the weather conditions.

7 Because of these drawbacks, the use of systems is required in order to be

8 able to maintain an uninterruptable electricity supply as it should be the required for

9 houses, hospitals or official facilities [1-3]. In other applications, such as environmental

10 powering of electrochemical devices, this necessity is not as important because of the

11 large dynamic time constants of the processes which contribute to make softer the effect

12 of fluctuations on the performance of the application [4-9].

13 There is a great variety of energy storage systems, among which it could be

14 highlighted compressed air, pumped hydro, superconducting magnetic energy, flywheels

15 or electrochemical systems [10, 11]. Well-known lead-acid batteries are included in the

16 electrochemical systems group. This technology can be used for the storage of renewable

17 sources providing-energy. However, the environmental problems related to the use of this

18 technology represent an important drawback [12, 13]. Taking into account this

19 background, in the recent years some studies have been published about a new technology

20 for the efficient storage of energy: Redox Flow Batteries [12-15]. A flow battery consists

21 of two usually aqueous that contain two redox couples and are pumped

22 through an in which chemical energy is converted to electricity [16].

23 These batteries can be divided into different groups, according to the phases of the

24 electroactive species involved in the system and the couples involved in the redox system

25 reactions [14, 17, 18]: liquid-RFB, where chemical energy is stored in the electrolyte;

3

1 solid-RFB, where chemical energy is stored in an active material on the plate;

2 and hybrid-RFB, with solid and gaseous species involved in the redox couples. Among

3 the liquid-RFB, it is worth to mention the iron-chromium[19, 20], all vanadium (VRFB)

4 [21, 22] and other vanadium-based systems [23-26], bromine-polysulphide [27] and all

5 uranium [28] and neptunium [29, 30] and non-aqueous electrolytes system [31-33]. The

6 solid-RFB includes soluble lead-acid [34, 35], zinc-nickel [36, 37] and zinc-manganese

7 dioxide [38]. Finally, the hybrid-RFB includes several zinc-based systems [10, 39-42],

8 vanadium-air [43], organic redox couples [44, 45] and lithium flow batteries [46, 47].

9 In this work, a redox flow battery using the different oxidation states of the

10 vanadium as energy storage system is evaluated (Vanadium Redox Flow Battery, VRFB).

11 This type of batteries was proposed in the mid-1980s by the Professor Skyllas-Kazacos’s

12 group, belonging to the University of New South Wales (UNSW) [48-52], obtaining

13 patent in 1986 (AU Patent 575247-1986). Since then, the development of this technology,

14 even for the industrial application, has been world-wide spread [53-55]. Reactions

15 involved on the performance of the all vanadium redox flow batteries include equation 1

16 on the positive electrode and equation 2 on the negative electrode, being the overall

17 reaction shown in equation 3.

Discharge     2 18 VO2  2H  e VO  H2O E0=1.00 V (1) Charge

Discharge 2  3  19 V V  e E0=-0.26 V (2) Charge

Discharge  2   2 3 20 VO2  V  2H VO  V  H2O E0=1.26 V (3) Charge

21 Taking into account these considerations, the main objective of this work is to

22 evaluate the application of vanadium redox flow battery system (VRFB) as storage of the

4

1 energy provided by a wind turbine. The most relevant property of this renewable energy

2 source is its highly random value. For this reason, a new study of the VRFB behavior

3 under a discontinuous charge produced by wind turbine has been developed. The obtained

4 results have been compared with a similar test where a galvanostatic charge process has

5 been applied using the same total electric charge. In both kind of tests, a STERION LT105

6 membrane was used to separate the positive and negative electrode compartments. This

7 membrane allows the correct performance of the VRFB, but it degrades quickly due to

8 highly corrosive electrolyte. This strategy allows us to simulate an accelerate degradation

9 in the performance of the VRFB carrying out very low number of charge/discharge cycles

10 2. MATERIALS AND METHODS

11 A scheme of experimental setup is shown in Figure 1. It is composed of a wind

12 turbine that supplies the renewable energy, the potentiostatic unit, which supplies the

13 energy according to the renewable energy profiles to the VRFB and the VRFB setup itself.

14 2.1. Wind turbine

15 Electricity production profile obtained from a Bornay 600 wind turbine (Bornay

16 Aerogeneradores, Alicante, Spain) was used. The turbine is composed of two fiberglass

17 blades (1.0 m long) controlled by an electronic regulator of 24 V and 30 A. The regulator

18 acts on the turbine as an automatic overspeed-governing system to keep the rotor from

19 spinning out of control in very high winds. In-house computer software (developed with

20 Labview, National Instruments) was used to control the process and monitoring the actual

21 wind speed. Further details can be found elsewhere [4, 5].

22 2.2. Vanadium Redox Flow Battery

23 The experimental device used in this work has been supplied by Baltic Fuel Cells

24 and it is composed of two differentiated modules: a quick connect fixture (qCf-RFB) that

25 allow the compression of the internal components of the commercial RFB cell (cF40-

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1 RFB) using a centric clamping vise. The fore of the vise is directly applied to the active

2 area, enabling fully reproducible test conditions. In addition, qCf-RFB provides a

3 temperature regulation by pumping of a thermal fluid (Huber P20.275.50) located in

4 external thermostatic bath (Huber). cF40-RFB is a commercial electrochemical cell with

5 an active area of 40 cm2 (w=52 mm, h=77mm). Only graphite and plastic materials are

6 exposed to the electrolyte.

7 A commercial vanadium electrolyte, supplied by Golden Energy Co. Ltd.

8 (China), was used in this work. It had a 2 M vanadium concentration (VO2+ in the positive

3+ 9 electrolyte and V in the negative electrolyte) in 3 M H2SO4. At the beginning of every

10 single test, positive and negative electrolyte tanks were filled up with 200 mL of the

11 corresponding solution. A peristaltic pump (Heidolph Pumpdrive 5001) was used to

12 deliver electrolyte to the RFB cell at a constant flow rate (20 mL min-1). The negative

13 electrode tank reservoir (containing V2+, which is an instable specie, and V3+) was purged

14 with a nitrogen stream to avoid the oxidation of the V2+ due to the presence of oxygen

15 during the charge and discharge experiments.

16 Carbon soft felt, provided by SGL Group was used as electrodic material both in

17 the and in the . Carbon felt pieces were submitted to a previous treatment

18 with boiling 1 M NaOH before being used as , in order to increase the

19 hydrophilicity of the material. A cationic exchange membrane (STERION L-105) was

20 used to separate the anodic and cathodic compartments inside the cell. As it is going to

21 be explained in the text, this membrane undergoes a rapid degradation during the tests,

22 reflected on an increase in the vanadium species permeability. This allows us to evaluate

23 with a short test, the effects of a rapid ageing of the system, because the influence of the

24 harsh conditions reached in the VRFB on the cell materials is known to be the main

25 weakness of the technology.

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1 2.3. Chemical and Electrochemical Analytical Techniques

2 Total vanadium concentration was measured off-line using an inductively coupled

3 plasma spectrometer, Liberty Sequential from Varian. Vanadium concentration used

4 as reactive in charge VRFB process was measured employing a UV-visible spectrometer,

5 Cary 300 from Agilent, using the Beer-Lambert-law. [56, 57]

6 Electrochemical parameters were controlled and monitored using an Autolab

7 PGSTAT302N (Metrohm) potentiostat controlled by the NOVA 1.11 program. Charge

8 and discharge procedures were programmed using the chrono potentiometry method. In

9 this way, the temporal variation in the OCV and voltage values was monitored during the

10 application of the corresponding value of current density.

11 3. RESULTS AND DISCUSSION

12 As stated before, the main objective of this research is focused on the study of the

13 behaviour of a VRFB charged under different conditions: galvanostatic and under an electrical

14 current pattern provided by wind turbines. To make this possible, accelerated ageing tests have

15 been carried out using highly degradable membranes in the VRFB device.

16 Figure 2 shows the time-course of the wind speed, measured during three

17 consecutive days (25th to 27th January, winter) in Ciudad Real, a town in the centre of

18 Spain, (38.59 N 3.55 O). This variation is going to be used as patterns of wind velocity

19 in the tests carried out in this work to compare the performance of VRFB charged

20 galvanostatically and with wind turbines intensity patterns. As it can be observed, the

21 wind speed evolution was discontinuous, just as it may be expected from this energy

22 source. The average wind speed was 1.4 m s-1. For additional information, Part b of Figure

23 2 shows the distribution of measured wind speed according to the International Beaufort

24 scale. According to this classification, the conditions selected as wind pattern for this test

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1 could be classified as light air, and they are typical conditions of wind in this region during

2 winter.

3 Taking into consideration the patterns obtained in the variation of wind speed, a

4 directly proportional current profile was calculated for being applied for the charge

5 process of the VRFB. To do this, it was considered the total energy required to achieve

6 the charge of the battery by applying a galvanostatic procedure at 250 mA (corresponding

7 to 6.25 mA cm-2). This value was 11.64 Ah in the first charge stage. From this target

8 value, it was obtained the current profile that is represented in Figure 3 and it is the

9 powering pattern that is going to be used in this work. In order to evaluate the performance

10 of the battery after successive charge and discharge cycles, three consecutive cycles (130

11 h in total) were applied both for the galvanostatic and for the wind charging procedures.

12 Discharge stages in both studies were carried out galvanostically, by applying a constant

13 value of current density in all cases of 6.25 mA cm-2.

14 The effect of the type of energy supply used for the charging step, was assessed on

15 a bench-scale VRFB, in which 200 mL of 2 M V3+/VO2+ in 3 M was used at

16 constant volumetric flow rate of 20 mL/min and constant temperature 30 ºC. In Figure 4

17 the variation in the voltage of the cell during the three consecutive charge / discharge

18 cycles in galvanostatic and wind charging are compared. In the same Figure, the variation

19 in the open circuit voltage (OCV) of the system is also shown.

20 Charge stages were maintained until an abrupt increase in the voltage of the cell

21 was observed, which corresponds to an OCV of 1.5 V. In the same way, at the end of the

22 discharge stages, an abrupt decrease in the cell voltage was observed, corresponding to

23 an OCV of 1.3 V, approximately. These OCV values are usually indicated in the literature

24 to establish the final charge and discharge states of the vanadium redox flow batteries [56,

25 58].

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1 OCV measurements were carried out during the charge and discharge stages to

2 know an estimation of the SOC with the time and to assess the cell performance when it

3 is charged by different methods. The OCV was measured between the changes of applied

4 current in the wind charge procedure and every 4 hours in the galvanostatic charge

5 procedure. As it can be observed in the Figure 4a, a progressive and smooth variation of

6 the cell voltage and the OCV was obtained when the cell was charged by galvanostatic

7 mode. However, when a non-constant current density was applied the increasing of the

8 cell voltage and the OCV become bumpy. When the wind rate is null, the cell does not

9 charge and therefore the cell voltage and the OCV values remain constant or drop. A

10 slight self-discharge can happen when the current density remains null for a long

11 time. This could explain the higher times of charge when the cell was supplied by wind

12 power against the galvanostatic mode to achieve the complete charge of the battery, as it

13 can be observed in Table 1.

14 On the other hand, a decrease in the charge and discharge times was observed with

15 the cycles. This drop is a direct consequence of the accelerated degradation undergone by

16 the used membrane, which in turn produces an accelerated degradation in the performance

17 of the VRFB. The STERION membrane used in the VRFB is known to be easily attacked

18 by the electrolytes used in both compartments of the VRFB, undergoing severe changes

19 in its structure, which can be reflected on the increase in the crossover of vanadium

20 species from the electrolyte compartment in which they are contained to the other

21 electrolyte compartment. To understand this important degradation of the performance of

22 the VRFB, permeability of the membrane was measured before use and after their use in

23 the three cycles. Thus, permeability to V3+ in mixtures 50% V3+ - 50% VO2+ changed

24 from 3.11 10-5 up to 3.28 10-5 cm2 h-1, while permeability to VO2+ increased from 1.26

25 10-4 up to 2.93 10-4 cm2 h-1. These values are high enough to explain the accelerated

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1 ageing of the membranes, in particular in the case of VO2+ and supports the important

2 effects of the electrolyte on the degradation of the membrane of the VRFB and hence in

3 the degradation of its performance, because it favor the crossover of vanadium species to

4 the other VRFB compartment.

5 Figure 5 shows the total charge (Q) applied in three consecutive charge-discharge

6 tests. Due to the decreasing duration of the consecutive charge/discharge cycles, the total

7 electric charge required to achieve the fixed state of charge was also lower as the number

8 of cycles increases. In the same way, the amount of energy obtained in the discharge

9 stages was lower. In turn, the obtained efficiency, calculated as the ratio between the

10 energy applied for the charge and the energy obtained in the discharge was 40.7%, 48.8%

11 and 38.9% in the three galvanostatic-charging cycles, and 36.1%, 36.5% and 28.5% in

12 the three wind-charging cycles. It is suggested that, during the wind-charging processes,

13 in the temporal periods for which the value of current applied is too low, the charge

14 process is less efficient, and consequently, to achieve the same value of state of charge,

15 the supply of a higher total amount of energy is necessary. Nevertheless, although starting

16 from the same value of OCV, the efficiency obtained in the windy discharge processes is

17 lower than the obtained in the galvanostatic. Other efficiency parameters obtained from

18 the results of these tests, and calculated according to literature[56], are shown in Table 2

19 and their values support this worse performance of the VRFB that undergoes the wind-

20 charging procedure.

21 Considering this significant reduction in the efficiency during the operation of the

22 battery, it may be suggested that the values of OCV, that have been used as indicative of

23 the state of charge of the battery, do not correspond with the total conversion of VO2+ to

+ 3+ 2+ 24 VO2 and of the V into V , as it was expected when the vanadium redox flow battery

25 is in its total charge state. Taking into account this consideration, during the three

10

1 consecutive charge/discharge cycles, it was monitored the variation of the vanadium

2 species. Figure 6 shows the variation in the UV-Vis spectra for the positive and negative

3 electrolytes during the first charging cycle.

4 As it can be observed, the maximum peak of absorbance for the VO2+ decreases

+ 5 during the charge procedure until it disappears when it was totally oxidized to VO2 . In

6 the same way, the peak of absorbance obtained at 400 nm for the V3+ decreases until a

7 minimum value, obtained when it was totally reduced to V2+. Taking into account this

8 consideration, in the consecutive charge/discharge cycles, achieving the same value of

9 OCV, the same maximum absorbance peaks must be obtained in the UV-Vis

10 spectrophotometric analysis.

11 Figure 7 shows the total amount of vanadium present in the positive and negative

12 electrolytes as VO2+ and V3+, respectively. In this Figure, it can be observed that in the

13 consecutive charge/discharge cycles, the total amount of VO2+ and V3+ contained in the

14 electrolyte decrease, both under the galvanostatic mode and also under the wind charging

15 procedures. Although, these results could indicate an irreversible character in the redox

16 reactions involved in the performance of the vanadium redox flow battery, they can also

17 be associated to the crossover of the electrolyte, which in turn is caused by the degradation

18 of the membrane. In this way, despite the same value of OCV was obtained in the different

19 charge/discharge cycles, this parameter does not indicate the real state of charge of the

20 battery with the ageing. Thus, the same value of OCV is obtained with lower amounts of

+ 2+ 21 VO2 and V in the total state of charge of the battery. The same observation was pointed

22 out by other authors, which have related different degradation procedures occurring in

23 the elements of the VRFB (membrane, electrolyte and electrodes) with the decrease in

24 the SOC during successive charge / discharge cycles [59].

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11

1 From the data show in Figure 7, the SOC values according to the equations 4

2 (negative electrolyte) and 5 (positive electrolyte) were calculated [60].

C 2 3 SOC  V (4) CV2  CV3

C  4 SOC  VO 2 (5) C   C 2 VO 2 VO

5 As it can be seen, the SOC values depend on the concentration of the ions involved

6 in the reaction of each compartment. The obtained values are shown in Table 3.

7 These values indicate that the charge was not complete in the second and third

8 cycle, mainly in the negative compartment. This fact could explain the lower values of

9 charge observed in the Figure 4 during those cycles. On the other hand, if both operation

10 modes are compared, the SOC values of the wind-charging mode are smaller than the

11 ones for the galvanostatic-charging mode. Thus, it seems that the wind profiles, (i.e. when

12 a variable current is supplied with random periods during which the VRFB is not charged

13 and some discharge process could occurs due to the instability of the V2+ specie) lead to

14 lower values of SOC in the negative compartment.

15 Figure 8 shows the Ragone plots obtained for the battery for both operation modes.

16 Slightly lower values are obtained when the VRFB underwent wind-charging, although

17 for both charging modes the obtained values were close to the typical and expected values

18 for the flow battery technology. It is to say, power density values around 1-1.5 W kg-1

19 and values around 6-25 W h kg-1 which are in agreement with other values

20 found in literature for this kind of technology [61].

21 CONCLUSIONS

22 The application of discontinuous values of electric current (characteristic of wind energy)

23 in charge cycles of VRFB results in a slightly poorer performance of the system, as

24 compared to a VRFB charged galvanostatically. Although, the differences between 12

1 operation modes are small, VRFB reached lower efficiencies and charge/discharge

2 capacities when it was used as windy energy storage system. Main problems are produced

3 in the negative compartment in which the effects of the crossover produced by the

4 degradation of the membrane on the species are raised by the fluctuations in the value of

5 current applied.

6 On the other hand, the ratio power density/energy density was very similar for the two

7 operation modes tested in this work. Thus, although further work is required to translate

8 the results achieved in the laboratory to a full-size battery, the obtained results are

9 promising enough to support the claim that the vanadium redox flow batteries are suitable

10 as storage systems of electricity produced by wind turbines.

11 ACKNOWLEDGMENTS

12 Financial support from the Spanish Ministry of Economy, Industry and Competitiveness

13 and European Union through projects CTM2013-45612-R and CTM2016-76197-R

14 (AEI/FEDER, UE) and CYTEMA E2TP Program of the University of Castilla- La

15 Mancha is gratefully acknowledged.

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1 TABLES

2

3 Table 1. Duration of the charge and discharge cycles.

Galvanostatic Wind-charging

charging mode mode

1st Charge 46.9 h 46.9 h

2nd Charge 26.5 h 29.0 h

3rd Charge 15.0 h 21.8 h

1st Discharge 19.0 h 16.8 h

2nd Discharge 13.0 h 11.0 h

3rd Discharge 6.0 h 5.6 h 4

5

6 Table 2. Efficiencies obtained during the different essays, Coulombic efficiency (C);

7 Voltage efficiency (V) and Energy efficiency (E).

Operation Mode

Cycle Galvanostatic-charging mode Wind-charging mode

C V E C V E

1st 40.68 94.48 38.44 36.10 93.21 33.65

2nd 48.82 85.81 41.89 36.45 91.61 33.39

3rd 38.88 81.01 31.50 28.53 90.83 25.92 8

9

10

11

12

13 20

1

2 Table 3. SOC values obtained from data of Figure 7 and equations 4 and 5.

Positive compartment Negative compartment

Galvanostatic Wind- Galvanostatic Wind- -charging charging -charging charging mode mode mode mode

1st Charge 0.977 0.852 1.000 1.000

1st Discharge 0.007 0.178 0.093 0.171

2nd Charge 0.991 0.979 0.749 0.713

2nd Discharge 0.044 0.371 0.094 0.179

3rd Charge 0.770 0.983 0.640 0.507

3rd Discharge 0.441 0.711 0.308 0.185 3

4

5

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18

21

1

2 ER-17-7985

3 FIGURES

4

Potentiostat Wind VRFB turbine setup

Wind Electric current profile profile

Positive Negative RFB electrolyte electrolyte

VO2+ / V3+ / + 2+ VO2 V

Thermostatic bath 5 6 Figure 1. Scheme of experimental setup.

7

8

9

10

11

12

13

14

22

1

2

5 A)

4

1 -

/ m s m / 3

speed 2 Wind 1

0

1/26/16 0:34 1/26/16 5:11 1/27/16 1/26/16 5:17 1/26/16 0:28 1/27/16

1/25/16 10:25 1/25/16 15:08 1/25/16 19:51 1/25/16 10:00 1/26/16 19:45 1/26/16 14:55 1/27/16 1/26/16 15:02 1/26/16 10:12 1/27/16 19:38 1/27/16 Date

6 Strong breeze

B) 1

- 5 Fresh breeze

4 Moderate breeze / m s m /

3 Gentle breeze speed 2 Light breeze

Wind 1 Light air

0 Calm 0 20 40 60 80 100 Percentage / % 3 4 Figure 2. (A) Wind speed variation in Ciudad Real, Spain, during three consecutive days

5 (25th to 27th January, winter). (B) Distribution of wind speed monitored classified

6 according to the International Beaufort wind force scale.

7

23

1

2

1st 2nd 3rd charge/discharge charge/discharge charge/discharge 1

0.8

0.6

0.4

0.2 Current / A / Current 0 0 10 20 30 40 50 60 70 80 90 100 110 120 130 -0.2

-0.4 Time / h 3

4 Figure 3. Electric current profiles during the three charge/discharge cycles. Solid line:

5 Direct wind charging procedure; Dashed line: Galvanostatic charging procedure.

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1

2

3

2 A) 1.8 1.6 1.4 1.2 1 0.8 0.6 0.4 3rd

Voltage cell and OCV / V / OCV and cell Voltage 1st 2nd charge/ 0.2 charge/discharge charge/discharge discharge 0 0 10 20 30 40 50 60 70 80 90 100 110 120 130 Time / h

2 B) 1.8 1.6 1.4 1.2 1 0.8 0.6

0.4 3rd Voltage cell and OCV / V / OCV and cell Voltage 0.2 1st 2nd charge/ charge/discharge charge/discharge discharge 0 0 10 20 30 40 50 60 70 80 90 100 110 120 130 Time / h 4

5 Figure 4. Charge/discharge response of VRFB. (A) Galvanostatic-charging procedure

6 and (B) Wind-charging procedure. Solid line: Cell voltage; Dashed line: OCV.

7 25

1

2

12 10 8 6 4 2 0

Q /Ah Q -2 -4 -6 -8 -10 -12 First First Second Second Third Third Charge Discharge Charge Discharge Charge Discharge 3

4 Figure 5. Electric charge required and obtained in the three charge and discharge cycles.

5 White bars: Galvanostatic-charging procedure; Black bars: Wind-charging procedure.

6

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1

2

1 A) 0.9 0.8 0.7 0.6 0.5 0.4 Abosrbance 0.3 0.2 0.1 0 300 350 400 450 500 550 600 650 700 750 800 Wavelength / nm

1 B) 0.9 0.8 0.7 0.6 0.5 0.4 Absorbance 0.3 0.2 0.1 0 300 350 400 450 500 550 600 650 700 750 800 Wavelength / nm 3 4 Figure 6. UV-visible spectra variation during the first charge process for the positive (A)

5 and negative (B) electrolyte. Solid line: OCV= 1.20 V; dotted line: OCV= 1.30 V; dashed

6 dotted line: OCV= 1.36 V; medium dashed line: OCV= 1.43 V; short dashed line: OCV=

7 1.47 V; long dashed line: OCV= 1.5 V.

27

1

0.5 A) 1st 2nd 3rd 0.45 charge/discharge charge/discharge charge/discharge 0.4 0.35 0.3

mol 0.25 2+

0.2 VO 0.15 0.1 0.05 0 0 10 20 30 40 50 60 70 80 90 100 110 120 130 Time / h

0.5 B) 1st 2nd 3rd 0.45 charge/discharge charge/discharge charge/discharge 0.4 0.35 0.3

mol 0.25 3+

V 0.2 0.15 0.1 0.05 0 0 10 20 30 40 50 60 70 80 90 100 110 120 130 Time / h 2

3 Figure 7. Evolution of total amount of (A) VO2+ into positive half-cell and (B) V3+ into

4 negative half-cell during the charge/discharge cycles of VRFB. Solid line: Galvanostatic-

5 charging procedure; Dashed line: Wind-charging procedure.

6

28

1

2

80

1 -

40

/ W kg W / Density

20 Power

10 50 100 200 400 800 Energy Density / W h kg-1 3 4 Figure 8. Ragone plots. () Wind-charging charge procedure; () Galvanostatic-

5 charging procedure.

6

7

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