ORIGINAL PAPER
Redox flow batteries: a review
Adam Z. Weber • Matthew M. Mench •
Jeremy P. Meyers • Philip N. Ross •
Jeffrey T. Gostick • Qinghua Liu
Received: 12 July 2011 / Accepted: 16 August 2011
� The Author(s) 2011. This article is published with open access at Springerlink.com
Abstract Redox flow batteries (RFBs) are enjoying a
renaissance due to their ability to store large amounts of
electrical energy relatively cheaply and efficiently. In this
review, we examine the components of RFBs with a
focus on understanding the underlying physical processes.
The various transport and kinetic phenomena are discussed
along with the most common redox couples.
Keywords Flow battery � Redox � Regenerative fuel cell �
Flow cell � Vanadium
List of symbols
ak,p Interfacial surface area between phases k and p per
unit volume (cm-1)
ci Concentration of species (mol/cm
3)
df Fiber diameter (cm)
Di Fickian diffusion coefficient of species i in a
mixture (cm2/s)
E0 Standard cell potential (V)
Eeq Equilibrium cell potential (V)
F Faraday’s constant, 96487 C/equiv
i Superficial current density (A/cm2)
i0 Exchange current density (A/cm
2)
ih,k-p Transfer current density of reaction h per
interfacial area between phases k and p (A/cm2)
k Permeability (m2)
k0 Standard rate constant, varies
m Valence state
n Valence state or number of electrons transferred
in a reaction
Ni Superficial flux density of species i (mol/cm
2 s)
p Pressure (Pa)
rl,k-p Rate of reaction l per unit of interfacial area
between phases k and p (mol/cm2 s)
R Ideal-gas constant, 8.3143 J/mol K
Rg,k Rate of homogenous reaction g in phase k (mol/
cm3 s)
Ri,j Resistance of resistor i, j in Fig. 10 where ct stands
for charge-transfer (X cm2)
si,k,l Stoichiometric coefficient of species i in phase
k participating in reaction l
t Time (s)
T Absolute temperature (K)
ui Mobility of species i (cm
2 mol/J s)
v Superficial velocity (cm/s)
x Stoichiometric coefficient
y Stoichiometric coefficient
zi Valence or charge number of species i
Greek
a Transfer coefficient
ai Transport coefficient of species i (mol
2/J cm s)
e Porosity
A. Z. Weber (&) � P. N. Ross
Environmental Energy Technologies Division, Lawrence
Berkeley National Laboratory, Berkeley, CA 94720, USA
e-mail: azweber@lbl.gov
M. M. Mench � Q. Liu
Department of Mechanical, Aerospace and Biomedical
Engineering, University of Tennessee, Knoxville, TN, USA
M. M. Mench
Energy and Transportation Science Division, Oak Ridge
National Laboratory, Oak Ridge, TN 37831, USA
J. P. Meyers
Department of Mechanical Engineering,
The University of Texas, Austin, TX, USA
J. T. Gostick
Department of Chemical Engineering, McGill University,
Montreal, QC, Canada
123
J Appl Electrochem
DOI 10.1007/s10800-011-0348-2
e0 Permittivity (F/cm)
n Electroosmotic coefficient
q Density (g/cm3)
qc Charge density (C/cm
3)
r Conductivity of the electronically conducting phase
(S/cm)
g Overpotential (V)
j Conductivity of the ionically conducting phase
(S/cm)
l Viscosity (Pa s)
li (Electro)chemical potential of species i (J/mol)
Uk Potential in phase k (V)
wi Permeation coefficient of species i (mol/s cm bar)
Super/subscripts
* Reference state
0 Solvent
1 Electronically conducting phase
2 Ionically conducting phase
O Oxidant
R Reductant
1 Introduction
Renewable-energy sources, such as solar and wind, are
being deployed in larger numbers than ever before, but
these sources are intermittent and often unpredictable.
These characteristics limit the degree to which utilities can
rely upon them, and, as such, renewables currently comprise
a small percentage of the primary power sources on the US
electrical grid. Analysis suggests that an electric grid could
become destabilized if non-dispatchable renewable energy
exceeds 20% of the energy-generation capacity without
energy storage [1]. However, many utilities are mandating
renewable portfolios approaching this level of deployment,
thus there is a pressing need for storage technologies to
complement and enable renewable standards. Other than
capacitors, however, there is no way to store electrical
energy as such. Instead, if electricity is to be stored, it must
first be converted to some other form of energy. There are
some technologies that enable practical storage of energy at
their current levels of deployment, but only a very small
fraction of North American power plants employ such
technology [2]. To ensure that renewable energy succeeds
in delivering reliable power to US consumers, the nation
needs cost effective and reliable storage at the grid scale.
Conventional rechargeable batteries offer a simple and
efficient way to store electricity, but development to date
has largely focused on transportation systems and smaller
systems for portable power or intermittent backup power;
metrics relating to size and volume are far less critical for
grid storage than in portable or transportation applications.
It therefore stands to reason that optimizing battery per-
formance over a different set of variables might result in an
implementation that delivers superior performance for
reduced cost. Batteries for large-scale grid storage require
durability for large numbers of charge/discharge cycles as
well as calendar life, high round-trip efficiency, an ability
to respond rapidly to changes in load or input, and rea-
sonable capital costs [3]. Redox flow batteries (RFBs) or
redox flow cells (RFCs), shown schematically in Fig. 1,
promise to meet many of these requirements [4].
As shown in Fig. 1, a key component of RFBs is the
ability to separate power and energy. The power is con-
trolled by the stack while the energy is stored within the
separated reactants. Thus, one can optimize over a greater
range of variables and storage can be increased with
relatively ease and minimal cost compared to the stack,
which is typically the most expensive system component.
To examine the technologies that are under development
to meet the cost requirements of the marketplace and
enable wide-scale storage, we consider the existing port-
folio of RFB storage technologies and the possibilities of
each. To that end, we introduce the various technologies
and discuss in more depth the general attributes and con-
cerns facing RFBs. The overall purpose of this review is to
examine systemic issues for the field of RFBs, and not just
examine a specific chemistry or the various proposed
RFBs. Excellent reviews of these latter issues and energy
storage for the grid in general can be found in the literature
[5–8]. The structure of this paper is as follows.
After an introduction and short overview of the various
major RFBs, the kinetic and transport issues are examined
in turn. Next, some overall electrode/cell modeling and
designs are reviewed. Finally, some comments about future
research needs are made. It should be noted that this review
is focused on cell-level issues and RFB chemistries,
therefore issues of system integration and components are
not examined in depth, although they can be critically
important for system commercialization. Before discussing
the various RFB chemistries, it is worthwhile to examine
their current major applications.
1.1 Grid-storage needs
The present electric grid constitutes an enormous physical
infrastructure, with a near-instantaneous transmission of
value from primary power sources and generation assets to
end users and with almost no storage capability. Because
of this dearth of storage, the existing grid must conform to
fluctuations in customer demand, resulting in the con-
struction of power plants that may only operate for 100 h
a year or less and can account for up to 30 MWh in
capacity [9]. These generators are dispatched to respond to
small oscillations in demand over very short time scales of
J Appl Electrochem
123
less than 1 h. They are also turned on and sped up to meet
increasing load during the peak time of the day, and, at the
other extreme of wastefulness, brought on by the lack of
storage. For example, wind energy is wasted because of the
inability to dispatch wind power at night when wind gen-
eration is at a maximum but customer demand is at a
minimum; thus, there is a significant value added by the
incorporation of storage [10]. Similarly, photovoltaics and
solar-energy implementation will also require arbitrage
since although the solar irradiation received terrestrially in
about 1 h is sufficient to meet worldwide energy require-
ments for a year, the sun does set daily. Storage is a vital
tool that would uncouple customer demand from the gen-
eration side of the grid, thereby allowing vital flexibility in
control and maintenance of the electric grid. To date,
however, energy storage comprises only about 2% of the
installed generation capacity in the U.S. Because of dif-
ferences in government policy and more favorable eco-
nomics, storage plays a larger role in Europe and Japan, at
10 and 15%, respectively [11].
The current worldwide electric generation capacity was
estimated to be about 20 trillion kilowatt hours in 2007 [12].
More than two-thirds of the current mix is from some form
of fossil fuel, with most of the balance coming from nuclear
and hydroelectric power generation; at present, only about
3% comes from renewable-energy technologies. Further-
more, developing economies and electrification of the
transportation sector both point to strong year-over-year
growth in terms of electrical demand. While coal is already
the primary source of power in the US electricity sector,
there are concerns that it will become a larger portion of
electricity production as increased global demand competes
for cleaner resources like natural gas. Coal is, of course, the
most carbon-intensive resource used in this sector; how-
ever, while debate continues about how to address
anthropogenic global warming gas emissions from a policy
standpoint, coal plants are less capable of handling transient
loads than the ‘‘peaker’’ plants that largely sit idle and
which are deployed only to handle the peak loads. Growing
demand implies not only an increase in the base load, which
might be handled by coal if government and the energy
sector choose not to prioritize carbon-emissions reductions,
but also to larger peak loads, which will either require more
intermittent generation assets or storage.
In addition to improvements in resiliency that can
enable increased renewable-energy generation, integration
of storage into the smart grid also promises to enable
greater system efficiency, even with existing generation
assets. The Electric Power Research Institute has com-
pleted a study that suggests that the widespread adoption of
smart grid technologies could yield a 4% reduction in
energy use by 2030 [13], roughly equivalent to eliminating
the emissions of 50 million cars. Beyond the emissions
impact, that savings translates to more than $20 billion
annually for utility customers nationwide. With a more
robust and efficient system, and more data about demand
patterns, it will be easier for utilities to manage the inte-
gration of intermittent renewable-energy sources. Energy
storage can also support requirements for reserve genera-
tion in place of fossil-fuel-based facilities, yielding zero
emissions and lowered operating costs.
It seems apparent that being able to harvest energy from
more diverse sources, and being able to deploy this energy
to the end user when it is demanded, should lower oper-
ating costs and promote the robustness and quality of
power on the grid. Why then, is the penetration of storage
onto the grid so small? The answer is primarily cost. There
are multiple costs associated with the installation and
operation of a RFB system: one must consider the opera-
tion and maintenance costs, as well as up-front capital costs
Fig. 1 A schematic diagram of
a redox flow battery with
electron transport in the circuit,
ion transport in the electrolyte
and across the membrane, active
species crossover, and mass
transport in the electrolyte
J Appl Electrochem
123
and life-cycle costs. Because of the decoupling of energy
and power in RFB configurations, we can consider both
cost per unit of power generation/storage capability ($/kW)
and the cost per unit of energy-storage capacity ($/kWh).
We note that the cost per unit energy storage is not the
incremental cost of producing or storing that energy as
would be expected in a utility bill, but the cost per unit of
energy-storage capacity. In addition to costs, robust system
lifetimes of *10 years, high efficiency, and cyclic dura-
bility are necessary for grid-level storage.
Different applications have different acceptable costs,
and the total power and total duration of storage provided
will differ from application to application. As such, it is
difficult to target a single metric that can concisely address
the ultimate cost target for grid-based storage. Table 1
below, from a report prepared by the Nexight Group based
upon a workshop convened by Sandia, PNNL, and the
Minerals, Metals, and Materials Society (TMS) for the US
Department of Energy, suggests the following cost per-
formance targets for key utility applications, and identify
cost targets for flow batteries of $250/kWh in capital costs
in 2015, decreasing to $100/kWh by 2030 [14]. Current
estimates of costs for conventional batteries and flow bat-
teries are significantly higher than the required targets:
a 2008 estimate of RFB costs suggested nearly $2500/kW,
albeit without specification of duration or sizing [15].
Regardless of detail, however, significant cost reduction
must be achieved: technological improvements, material
development, and economies of scale must be achieved to
ensure success in the marketplace.
2 Redox-flow-battery overview
Redox flow batteries can be classified by active species or
solvent (aqueous and non-aqueous, respectively). Figure 1
shows a generic RFB system. In the discharge mode, an
anolyte solution flows through a porous electrode and
reacts to generate electrons, which flow through the
external circuit. The charge-carrying species are then
transported to a separator (typically an ion-exchange
membrane (IEM)), which serves to separate the anolyte and
catholyte solutions. The general reactions can be written as
Anþ þ xe� �!charge Aðn�xÞþ and Aðn�xÞþ �!discharge Anþ þ xe�
n [ xð Þ ð1Þ
and
Table 1 Key performance targets for grid-storage applications, from Ref. [14]
Application Purpose Key performance targets
Area and frequency regulation
(short duration)
Reconciles momentary differences between
supply and demand within a given area
Service cost: $20/MW
Roundtrip efficiency: 85–90%
System lifetime: 10 years
Discharge duration: 15 min–2 h
Response time: milliseconds
Renewables grid integration
(short duration)
Offsets fluctuations of short-duration
variation of renewables generation output
Accommodates renewables generation at
times of high grid congestion
Roundtrip efficiency: 90%
Cycle life: 10 years
Capacity: 1–20 MW
Response time: 1–2 s
Transmission and distribution
upgrade deferral (long
duration)
Delays or avoids the need to upgrade
transmission and/or distribution
infrastructure
Reduces loading on existing equipment to
extend equipment life
Cost: $500/kWh
Discharge duration: 2–4 h
Capacity: 1–100 MW
Reliability: 99.9%
System life: 10 years
Load following (long duration) Changes power output in response to the
changing balance between energy supply
and demand
Operates at partial load (i.e., increased
output) without compromising performance
or increasing emissions
Capital cost: $1,500/kW or $500/kWh
Operations and maintenance cost: $500/kWh
Discharge duration: 2–6 h
Electric energy time shift (long
duration)
Stores inexpensive energy during low
demand periods and discharges the energy
during times of high demand (often referred
to as arbitrage)
Capital cost: $1,500/kW or $500/kWh
Operations and maintenance cost: $250–$500/kWh
Discharge duration: 2–6 h
Efficiency: 70–80%
Response time: 5–30 min
J Appl Electrochem
123
Bmþ � ye� �!charge BðmþyÞþ and BðmþyÞþ �!discharge Bmþ � ye�
ð2Þ
for the anode (negative electrode) and cathode (positive
electrode), respectively.
The key transport mechanisms are shown in Fig. 1 for
this generic system. The dominant losses in these systems,
other than charge-transfer reaction kinetics, are related to
the charge and mass transport in the electrolyte and sepa-
rator, which are each discussed in turn in later sections of
this review. Additionally, a key factor in many of these
systems is crossover of species through the separator,
which is dependent on current and membrane permeability.
A sample RFB cell performance is shown in Fig. 2, where
the charge and discharge are at different rates or current
densities. One can see that similar to a fuel-cell polari-
zation curve, there can be ohmic, mass-transport, and/or
kinetic losses. The first part of the curves is dominated by
kinetic overpotential, especially on charge. The middle part
of the curves is dominated by ohmic or ionic-conduction
losses, and the last part of the curves is typically a signature
of reactant mass-transport limitations.
The reactor in Fig. 1 consists of a stack of individual
cells, where each cell contains the sites where electro-
chemical charge-transfer reactions occur as electrolyte
flows through them, as well as a separator (either an
electrolyte-filled gap or a selective membrane) to force the
electrons through the external circuit. The arrangement of
a typical cell is shown in Fig. 3, and individual cells can be
arranged in series to increase the overall stack voltage.
Generally, stacks are arranged in a bipolar fashion so that
current flows in series from one cell to the next.
One of the key attributes of RFBs that suggests signif-
icant promise for stationary applications is the fact that,
for many configurations, there is no physical transfer of
material across the electrode/electrolyte interface. While
there are some configurations that can be categorized as
flow batteries only in the sense that the active material
flows from outside of the cell to the electrode surface, most
flow-battery systems under development utilize reversible
solution-phase electrochemical couples on two electrodes
to store chemical energy. Instead of storing the electro-
chemical reactants within the electrode itself, as with
metal/metal alloy or intercalation electrodes, the reactants
are dissolved in electrolytic solutions and stored in external
tanks. Both the oxidized and reduced form of each reactant
are soluble in the electrolyte, so they can be carried to/from
the electrode surface in the same phase. Only the relative
concentrations of oxidized and reduced forms change in
each stream over the course of charge and discharge.
The electrodes in most RFB configurations are not
required to undergo physical changes such as phase
change or insertion/deinsertion during operation because
the changes are occurring in the dissolved reactants in the
solution phase adjacent to the solid-electrode surfaces.
Though there are exceptions to this formulation, as men-
tioned in the next section, this feature generally affords the
opportunity to simplify the electrode design considerably.
As a consequence of the charge-transfer characteristics, the
cycle life of a RFB is not directly influenced by depth-of-
discharge or number of cycles the way that conventional
rechargeable batteries are. Side reactions can, of course,
complicate design and operation, but if the reactions pro-
ceed as intended, degradation of the electrode surface
need not proceed as a matter of course. The decoupling
of